%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG059+1 : TPTP v8.1.2. Released v2.7.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:36:05 EDT 2023 % Result : Theorem 18.73s 3.26s % Output : Proof 89.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG059+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 : n011.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 02:46:10 EDT 2023 % 0.13/0.34 % CPUTime : % 0.21/0.60 ________ _____ % 0.21/0.60 ___ __ \_________(_)________________________________ % 0.21/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.60 % 0.21/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.60 (2023-06-19) % 0.21/0.60 % 0.21/0.60 (c) Philipp Rümmer, 2009-2023 % 0.21/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.60 Amanda Stjerna. % 0.21/0.60 Free software under BSD-3-Clause. % 0.21/0.60 % 0.21/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.60 % 0.21/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.62 Running up to 7 provers in parallel. % 0.21/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.21/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 7.54/1.74 Prover 6: Preprocessing ... % 7.54/1.74 Prover 0: Preprocessing ... % 7.54/1.74 Prover 5: Preprocessing ... % 7.54/1.75 Prover 2: Preprocessing ... % 7.54/1.76 Prover 1: Preprocessing ... % 7.54/1.76 Prover 4: Preprocessing ... % 7.54/1.78 Prover 3: Preprocessing ... % 13.43/2.54 Prover 4: Constructing countermodel ... % 13.43/2.54 Prover 1: Constructing countermodel ... % 13.43/2.55 Prover 2: Constructing countermodel ... % 13.43/2.55 Prover 3: Constructing countermodel ... % 13.94/2.70 Prover 0: Constructing countermodel ... % 13.94/2.73 Prover 6: Constructing countermodel ... % 17.01/3.07 Prover 5: Constructing countermodel ... % 18.73/3.25 Prover 6: proved (2609ms) % 18.73/3.26 % 18.73/3.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.73/3.26 % 18.73/3.26 Prover 5: stopped % 18.73/3.26 Prover 0: stopped % 18.73/3.26 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.73/3.26 Prover 2: stopped % 18.73/3.26 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 18.73/3.26 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.73/3.26 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.73/3.27 Prover 3: stopped % 18.73/3.27 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 22.17/3.70 Prover 11: Preprocessing ... % 22.17/3.70 Prover 13: Preprocessing ... % 22.17/3.71 Prover 7: Preprocessing ... % 22.17/3.71 Prover 8: Preprocessing ... % 22.17/3.75 Prover 10: Preprocessing ... % 24.38/4.06 Prover 8: Constructing countermodel ... % 25.55/4.15 Prover 10: Constructing countermodel ... % 25.75/4.18 Prover 13: Constructing countermodel ... % 25.75/4.21 Prover 7: Constructing countermodel ... % 25.75/4.22 Prover 11: Constructing countermodel ... % 63.26/9.09 Prover 13: stopped % 63.26/9.09 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 64.44/9.27 Prover 16: Preprocessing ... % 66.07/9.43 Prover 16: Constructing countermodel ... % 84.63/11.85 Prover 7: Found proof (size 57684) % 84.63/11.85 Prover 7: proved (8562ms) % 84.63/11.85 Prover 16: stopped % 84.63/11.85 Prover 4: stopped % 84.63/11.85 Prover 1: stopped % 84.63/11.85 Prover 11: stopped % 84.63/11.85 Prover 10: stopped % 84.63/11.85 Prover 8: stopped % 84.63/11.85 % 84.63/11.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 84.63/11.85 % 85.11/11.95 % SZS output start Proof for theBenchmark % 85.11/11.97 Assumptions after simplification: % 85.11/11.97 --------------------------------- % 85.11/11.97 % 85.11/11.97 (ax1) % 85.42/12.02 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 85.42/12.02 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 85.42/12.02 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 85.42/12.02 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 85.42/12.02 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 85.42/12.02 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 85.42/12.02 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 85.42/12.02 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) = % 85.42/12.02 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) = % 85.42/12.02 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 % 85.42/12.02 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 85.42/12.02 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 85.42/12.02 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 85.42/12.02 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 85.42/12.02 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | % 85.42/12.02 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = % 85.42/12.02 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & % 85.42/12.02 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 = % 85.42/12.02 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | % 85.42/12.02 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 = % 85.42/12.02 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 | % 85.42/12.02 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 = % 85.42/12.02 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 | % 85.42/12.02 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 % 85.42/12.02 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | % 85.42/12.02 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = % 85.42/12.02 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = % 85.42/12.02 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 % 85.42/12.02 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & % 85.42/12.02 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 % 85.42/12.02 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = % 85.42/12.02 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 = % 85.42/12.02 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 % 85.42/12.02 | v0 = e0)) % 85.42/12.02 % 85.42/12.02 (ax2) % 85.42/12.02 op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 % 85.42/12.02 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) = % 85.42/12.02 e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) & % 85.42/12.02 $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | % 85.42/12.02 unit = e0) % 85.42/12.02 % 85.42/12.02 (ax3) % 85.42/12.05 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 85.42/12.05 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 85.42/12.05 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 85.42/12.05 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 85.42/12.05 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 85.42/12.05 [v23: $i] : ? [v24: $i] : (((v24 = e4 & op(e4, e4) = e4) | (v23 = e4 & op(e4, % 85.42/12.05 e3) = e4) | (v20 = e4 & op(e4, e2) = e4) | (v15 = e4 & op(e4, e1) = % 85.42/12.05 e4) | (v8 = e4 & op(e4, e0) = e4)) & ((v24 = e4 & op(e4, e4) = e4) | % 85.42/12.05 (v22 = e4 & op(e3, e4) = e4) | (v18 = e4 & op(e2, e4) = e4) | (v12 = e4 & % 85.42/12.05 op(e1, e4) = e4) | (v4 = e4 & op(e0, e4) = e4)) & ((v24 = e3 & op(e4, % 85.42/12.05 e4) = e3) | (v23 = e3 & op(e4, e3) = e3) | (v20 = e3 & op(e4, e2) = % 85.42/12.05 e3) | (v15 = e3 & op(e4, e1) = e3) | (v8 = e3 & op(e4, e0) = e3)) & % 85.42/12.05 ((v24 = e3 & op(e4, e4) = e3) | (v22 = e3 & op(e3, e4) = e3) | (v18 = e3 & % 85.42/12.05 op(e2, e4) = e3) | (v12 = e3 & op(e1, e4) = e3) | (v4 = e3 & op(e0, e4) % 85.42/12.05 = e3)) & ((v24 = e2 & op(e4, e4) = e2) | (v23 = e2 & op(e4, e3) = e2) | % 85.42/12.05 (v20 = e2 & op(e4, e2) = e2) | (v15 = e2 & op(e4, e1) = e2) | (v8 = e2 & % 85.42/12.05 op(e4, e0) = e2)) & ((v24 = e2 & op(e4, e4) = e2) | (v22 = e2 & op(e3, % 85.42/12.05 e4) = e2) | (v18 = e2 & op(e2, e4) = e2) | (v12 = e2 & op(e1, e4) = % 85.42/12.05 e2) | (v4 = e2 & op(e0, e4) = e2)) & ((v24 = e1 & op(e4, e4) = e1) | % 85.42/12.05 (v23 = e1 & op(e4, e3) = e1) | (v20 = e1 & op(e4, e2) = e1) | (v15 = e1 & % 85.42/12.05 op(e4, e1) = e1) | (v8 = e1 & op(e4, e0) = e1)) & ((v24 = e1 & op(e4, % 85.42/12.05 e4) = e1) | (v22 = e1 & op(e3, e4) = e1) | (v18 = e1 & op(e2, e4) = % 85.42/12.05 e1) | (v12 = e1 & op(e1, e4) = e1) | (v4 = e1 & op(e0, e4) = e1)) & % 85.42/12.05 ((v24 = e0 & op(e4, e4) = e0) | (v23 = e0 & op(e4, e3) = e0) | (v20 = e0 & % 85.42/12.05 op(e4, e2) = e0) | (v15 = e0 & op(e4, e1) = e0) | (v8 = e0 & op(e4, e0) % 85.42/12.05 = e0)) & ((v24 = e0 & op(e4, e4) = e0) | (v22 = e0 & op(e3, e4) = e0) | % 85.42/12.05 (v18 = e0 & op(e2, e4) = e0) | (v12 = e0 & op(e1, e4) = e0) | (v4 = e0 & % 85.42/12.05 op(e0, e4) = e0)) & ((v23 = e4 & op(e4, e3) = e4) | (v21 = e4 & op(e3, % 85.42/12.05 e3) = e4) | (v17 = e4 & op(e2, e3) = e4) | (v11 = e4 & op(e1, e3) = % 85.42/12.05 e4) | (v3 = e4 & op(e0, e3) = e4)) & ((v23 = e3 & op(e4, e3) = e3) | % 85.42/12.05 (v21 = e3 & op(e3, e3) = e3) | (v17 = e3 & op(e2, e3) = e3) | (v11 = e3 & % 85.42/12.05 op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v23 = e2 & op(e4, % 85.42/12.05 e3) = e2) | (v21 = e2 & op(e3, e3) = e2) | (v17 = e2 & op(e2, e3) = % 85.42/12.05 e2) | (v11 = e2 & op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & % 85.42/12.05 ((v23 = e1 & op(e4, e3) = e1) | (v21 = e1 & op(e3, e3) = e1) | (v17 = e1 & % 85.42/12.05 op(e2, e3) = e1) | (v11 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) % 85.42/12.05 = e1)) & ((v23 = e0 & op(e4, e3) = e0) | (v21 = e0 & op(e3, e3) = e0) | % 85.42/12.05 (v17 = e0 & op(e2, e3) = e0) | (v11 = e0 & op(e1, e3) = e0) | (v3 = e0 & % 85.42/12.05 op(e0, e3) = e0)) & ((v22 = e4 & op(e3, e4) = e4) | (v21 = e4 & op(e3, % 85.42/12.05 e3) = e4) | (v19 = e4 & op(e3, e2) = e4) | (v14 = e4 & op(e3, e1) = % 85.42/12.05 e4) | (v7 = e4 & op(e3, e0) = e4)) & ((v22 = e3 & op(e3, e4) = e3) | % 85.42/12.05 (v21 = e3 & op(e3, e3) = e3) | (v19 = e3 & op(e3, e2) = e3) | (v14 = e3 & % 85.42/12.05 op(e3, e1) = e3) | (v7 = e3 & op(e3, e0) = e3)) & ((v22 = e2 & op(e3, % 85.42/12.05 e4) = e2) | (v21 = e2 & op(e3, e3) = e2) | (v19 = e2 & op(e3, e2) = % 85.42/12.05 e2) | (v14 = e2 & op(e3, e1) = e2) | (v7 = e2 & op(e3, e0) = e2)) & % 85.42/12.05 ((v22 = e1 & op(e3, e4) = e1) | (v21 = e1 & op(e3, e3) = e1) | (v19 = e1 & % 85.42/12.05 op(e3, e2) = e1) | (v14 = e1 & op(e3, e1) = e1) | (v7 = e1 & op(e3, e0) % 85.42/12.05 = e1)) & ((v22 = e0 & op(e3, e4) = e0) | (v21 = e0 & op(e3, e3) = e0) | % 85.42/12.05 (v19 = e0 & op(e3, e2) = e0) | (v14 = e0 & op(e3, e1) = e0) | (v7 = e0 & % 85.42/12.05 op(e3, e0) = e0)) & ((v20 = e4 & op(e4, e2) = e4) | (v19 = e4 & op(e3, % 85.42/12.05 e2) = e4) | (v16 = e4 & op(e2, e2) = e4) | (v10 = e4 & op(e1, e2) = % 85.42/12.05 e4) | (v2 = e4 & op(e0, e2) = e4)) & ((v20 = e3 & op(e4, e2) = e3) | % 85.42/12.05 (v19 = e3 & op(e3, e2) = e3) | (v16 = e3 & op(e2, e2) = e3) | (v10 = e3 & % 85.42/12.05 op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v20 = e2 & op(e4, % 85.42/12.05 e2) = e2) | (v19 = e2 & op(e3, e2) = e2) | (v16 = e2 & op(e2, e2) = % 85.42/12.05 e2) | (v10 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & % 85.42/12.05 ((v20 = e1 & op(e4, e2) = e1) | (v19 = e1 & op(e3, e2) = e1) | (v16 = e1 & % 85.42/12.05 op(e2, e2) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) % 85.42/12.05 = e1)) & ((v20 = e0 & op(e4, e2) = e0) | (v19 = e0 & op(e3, e2) = e0) | % 85.42/12.05 (v16 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e1, e2) = e0) | (v2 = e0 & % 85.42/12.05 op(e0, e2) = e0)) & ((v18 = e4 & op(e2, e4) = e4) | (v17 = e4 & op(e2, % 85.42/12.05 e3) = e4) | (v16 = e4 & op(e2, e2) = e4) | (v13 = e4 & op(e2, e1) = % 85.42/12.05 e4) | (v6 = e4 & op(e2, e0) = e4)) & ((v18 = e3 & op(e2, e4) = e3) | % 85.42/12.05 (v17 = e3 & op(e2, e3) = e3) | (v16 = e3 & op(e2, e2) = e3) | (v13 = e3 & % 85.42/12.05 op(e2, e1) = e3) | (v6 = e3 & op(e2, e0) = e3)) & ((v18 = e2 & op(e2, % 85.42/12.05 e4) = e2) | (v17 = e2 & op(e2, e3) = e2) | (v16 = e2 & op(e2, e2) = % 85.42/12.05 e2) | (v13 = e2 & op(e2, e1) = e2) | (v6 = e2 & op(e2, e0) = e2)) & % 85.42/12.05 ((v18 = e1 & op(e2, e4) = e1) | (v17 = e1 & op(e2, e3) = e1) | (v16 = e1 & % 85.42/12.05 op(e2, e2) = e1) | (v13 = e1 & op(e2, e1) = e1) | (v6 = e1 & op(e2, e0) % 85.42/12.05 = e1)) & ((v18 = e0 & op(e2, e4) = e0) | (v17 = e0 & op(e2, e3) = e0) | % 85.42/12.05 (v16 = e0 & op(e2, e2) = e0) | (v13 = e0 & op(e2, e1) = e0) | (v6 = e0 & % 85.42/12.05 op(e2, e0) = e0)) & ((v15 = e4 & op(e4, e1) = e4) | (v14 = e4 & op(e3, % 85.42/12.05 e1) = e4) | (v13 = e4 & op(e2, e1) = e4) | (v9 = e4 & op(e1, e1) = e4) % 85.42/12.05 | (v1 = e4 & op(e0, e1) = e4)) & ((v15 = e3 & op(e4, e1) = e3) | (v14 = e3 % 85.42/12.05 & op(e3, e1) = e3) | (v13 = e3 & op(e2, e1) = e3) | (v9 = e3 & op(e1, % 85.42/12.05 e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v15 = e2 & op(e4, e1) = % 85.42/12.05 e2) | (v14 = e2 & op(e3, e1) = e2) | (v13 = e2 & op(e2, e1) = e2) | (v9 % 85.42/12.05 = e2 & op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v15 = e1 & % 85.42/12.05 op(e4, e1) = e1) | (v14 = e1 & op(e3, e1) = e1) | (v13 = e1 & op(e2, e1) % 85.42/12.05 = e1) | (v9 = e1 & op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & % 85.42/12.05 ((v15 = e0 & op(e4, e1) = e0) | (v14 = e0 & op(e3, e1) = e0) | (v13 = e0 & % 85.42/12.05 op(e2, e1) = e0) | (v9 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = % 85.42/12.05 e0)) & ((v12 = e4 & op(e1, e4) = e4) | (v11 = e4 & op(e1, e3) = e4) | % 85.42/12.05 (v10 = e4 & op(e1, e2) = e4) | (v9 = e4 & op(e1, e1) = e4) | (v5 = e4 & % 85.42/12.05 op(e1, e0) = e4)) & ((v12 = e3 & op(e1, e4) = e3) | (v11 = e3 & op(e1, % 85.42/12.05 e3) = e3) | (v10 = e3 & op(e1, e2) = e3) | (v9 = e3 & op(e1, e1) = e3) % 85.42/12.05 | (v5 = e3 & op(e1, e0) = e3)) & ((v12 = e2 & op(e1, e4) = e2) | (v11 = e2 % 85.42/12.05 & op(e1, e3) = e2) | (v10 = e2 & op(e1, e2) = e2) | (v9 = e2 & op(e1, % 85.42/12.05 e1) = e2) | (v5 = e2 & op(e1, e0) = e2)) & ((v12 = e1 & op(e1, e4) = % 85.42/12.05 e1) | (v11 = e1 & op(e1, e3) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v9 % 85.42/12.05 = e1 & op(e1, e1) = e1) | (v5 = e1 & op(e1, e0) = e1)) & ((v12 = e0 & % 85.42/12.05 op(e1, e4) = e0) | (v11 = e0 & op(e1, e3) = e0) | (v10 = e0 & op(e1, e2) % 85.42/12.05 = e0) | (v9 = e0 & op(e1, e1) = e0) | (v5 = e0 & op(e1, e0) = e0)) & % 85.42/12.05 ((v8 = e4 & op(e4, e0) = e4) | (v7 = e4 & op(e3, e0) = e4) | (v6 = e4 & % 85.42/12.05 op(e2, e0) = e4) | (v5 = e4 & op(e1, e0) = e4) | (v0 = e4 & op(e0, e0) = % 85.42/12.05 e4)) & ((v8 = e3 & op(e4, e0) = e3) | (v7 = e3 & op(e3, e0) = e3) | (v6 % 85.42/12.05 = e3 & op(e2, e0) = e3) | (v5 = e3 & op(e1, e0) = e3) | (v0 = e3 & % 85.42/12.05 op(e0, e0) = e3)) & ((v8 = e2 & op(e4, e0) = e2) | (v7 = e2 & op(e3, e0) % 85.42/12.05 = e2) | (v6 = e2 & op(e2, e0) = e2) | (v5 = e2 & op(e1, e0) = e2) | (v0 % 85.42/12.05 = e2 & op(e0, e0) = e2)) & ((v8 = e1 & op(e4, e0) = e1) | (v7 = e1 & % 85.42/12.05 op(e3, e0) = e1) | (v6 = e1 & op(e2, e0) = e1) | (v5 = e1 & op(e1, e0) = % 85.42/12.05 e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v4 = e4 & op(e0, e4) = e4) | (v3 % 85.42/12.05 = e4 & op(e0, e3) = e4) | (v2 = e4 & op(e0, e2) = e4) | (v1 = e4 & % 85.42/12.05 op(e0, e1) = e4) | (v0 = e4 & op(e0, e0) = e4)) & ((v4 = e3 & op(e0, e4) % 85.42/12.05 = e3) | (v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 % 85.42/12.05 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v4 = e2 & % 85.42/12.05 op(e0, e4) = e2) | (v3 = e2 & op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = % 85.42/12.05 e2) | (v1 = e2 & op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v4 % 85.42/12.05 = e1 & op(e0, e4) = e1) | (v3 = e1 & op(e0, e3) = e1) | (v2 = e1 & % 85.42/12.05 op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = % 85.42/12.05 e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v8 = e0 & op(e4, e0) = e0) | % 85.42/12.05 (v7 = e0 & op(e3, e0) = e0) | (v6 = e0 & op(e2, e0) = e0) | (v5 = e0 & % 85.42/12.05 op(e1, e0) = e0)) & ((v4 = e0 & op(e0, e4) = e0) | (v3 = e0 & op(e0, % 85.42/12.05 e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 & op(e0, e1) = % 85.42/12.05 e0))))) % 85.42/12.05 % 85.42/12.05 (ax4) % 85.42/12.06 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 85.42/12.06 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 85.42/12.06 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 85.42/12.06 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 85.42/12.06 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 85.42/12.06 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 85.42/12.06 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 = % 85.42/12.06 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) & % 85.42/12.06 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 = % 85.42/12.06 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) & % 85.42/12.06 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 = % 85.42/12.06 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ % 85.42/12.06 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = % 85.42/12.06 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & % 85.42/12.06 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = % 85.42/12.06 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) & % 85.42/12.06 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 = % 85.42/12.06 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) & % 85.42/12.06 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 = % 85.42/12.06 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & % 85.42/12.06 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = % 85.42/12.06 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ % 85.42/12.06 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ % 85.42/12.06 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~ % 85.42/12.06 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~ % 85.42/12.06 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ % 85.42/12.06 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & % 85.42/12.06 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 & % 85.42/12.06 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & % 85.42/12.06 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & % 85.42/12.06 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & % 85.42/12.06 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 85.42/12.06 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & % 85.42/12.06 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) % 85.42/12.06 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 85.42/12.06 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 85.42/12.06 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 85.42/12.06 % 85.42/12.06 (ax5) % 85.42/12.06 ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ % 85.42/12.06 (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & $i(e4) % 85.42/12.06 & $i(e3) & $i(e2) & $i(e1) & $i(e0) % 85.42/12.06 % 85.42/12.06 (ax6) % 85.42/12.06 op(e3, e3) = e4 & op(e3, e2) = e1 & op(e2, e2) = e3 & op(e1, e1) = e0 & $i(e4) % 85.42/12.06 & $i(e3) & $i(e2) & $i(e1) & $i(e0) % 85.42/12.06 % 85.42/12.06 (co1) % 85.89/12.09 $i(unit) & $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: % 85.89/12.09 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 85.89/12.09 ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? % 85.89/12.09 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? % 85.89/12.09 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? % 85.89/12.09 [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? % 85.89/12.09 [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? % 85.89/12.09 [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? % 85.89/12.09 [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? % 85.89/12.09 [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 85.89/12.09 [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? % 85.89/12.09 [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? % 85.89/12.09 [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? % 85.89/12.09 [v62: $i] : ? [v63: $i] : ? [v64: $i] : (((v63 = e4 & ~ (v64 = e3) & ~ % 85.89/12.09 (v23 = v19) & op(v23, e4) = v64 & op(v23, e3) = e4 & op(e4, e3) = v23 & % 85.89/12.09 op(e3, e4) = v19 & $i(v64) & $i(v23) & $i(v19)) | (v61 = e4 & ~ (v62 = % 85.89/12.09 e2) & ~ (v22 = v14) & op(v22, e4) = v62 & op(v22, e2) = e4 & op(e4, % 85.89/12.09 e2) = v22 & op(e2, e4) = v14 & $i(v62) & $i(v22) & $i(v14)) | (v59 = % 85.89/12.09 e4 & ~ (v60 = e1) & ~ (v21 = v9) & op(v21, e4) = v60 & op(v21, e1) = % 85.89/12.09 e4 & op(e4, e1) = v21 & op(e1, e4) = v9 & $i(v60) & $i(v21) & $i(v9)) | % 85.89/12.09 (v57 = e4 & ~ (v58 = e0) & ~ (v20 = v4) & op(v20, e4) = v58 & op(v20, % 85.89/12.09 e0) = e4 & op(e4, e0) = v20 & op(e0, e4) = v4 & $i(v58) & $i(v20) & % 85.89/12.09 $i(v4)) | (v55 = e3 & ~ (v56 = e4) & ~ (v23 = v19) & op(v19, e4) = e3 % 85.89/12.09 & op(v19, e3) = v56 & op(e4, e3) = v23 & op(e3, e4) = v19 & $i(v56) & % 85.89/12.09 $i(v23) & $i(v19)) | (v53 = e3 & ~ (v54 = e2) & ~ (v17 = v13) & % 85.89/12.09 op(v17, e3) = v54 & op(v17, e2) = e3 & op(e3, e2) = v17 & op(e2, e3) = % 85.89/12.09 v13 & $i(v54) & $i(v17) & $i(v13)) | (v51 = e3 & ~ (v52 = e1) & ~ (v16 % 85.89/12.09 = v8) & op(v16, e3) = v52 & op(v16, e1) = e3 & op(e3, e1) = v16 & % 85.89/12.09 op(e1, e3) = v8 & $i(v52) & $i(v16) & $i(v8)) | (v49 = e3 & ~ (v50 = % 85.89/12.09 e0) & ~ (v15 = v3) & op(v15, e3) = v50 & op(v15, e0) = e3 & op(e3, % 85.89/12.09 e0) = v15 & op(e0, e3) = v3 & $i(v50) & $i(v15) & $i(v3)) | (v47 = e2 % 85.89/12.09 & ~ (v48 = e4) & ~ (v22 = v14) & op(v14, e4) = e2 & op(v14, e2) = v48 % 85.89/12.09 & op(e4, e2) = v22 & op(e2, e4) = v14 & $i(v48) & $i(v22) & $i(v14)) | % 85.89/12.09 (v45 = e2 & ~ (v46 = e3) & ~ (v17 = v13) & op(v13, e3) = e2 & op(v13, % 85.89/12.09 e2) = v46 & op(e3, e2) = v17 & op(e2, e3) = v13 & $i(v46) & $i(v17) & % 85.89/12.09 $i(v13)) | (v43 = e2 & ~ (v44 = e1) & ~ (v11 = v7) & op(v11, e2) = v44 % 85.89/12.09 & op(v11, e1) = e2 & op(e2, e1) = v11 & op(e1, e2) = v7 & $i(v44) & % 85.89/12.09 $i(v11) & $i(v7)) | (v41 = e2 & ~ (v42 = e0) & ~ (v10 = v2) & op(v10, % 85.89/12.09 e2) = v42 & op(v10, e0) = e2 & op(e2, e0) = v10 & op(e0, e2) = v2 & % 85.89/12.09 $i(v42) & $i(v10) & $i(v2)) | (v39 = e1 & ~ (v40 = e4) & ~ (v21 = v9) % 85.89/12.09 & op(v9, e4) = e1 & op(v9, e1) = v40 & op(e4, e1) = v21 & op(e1, e4) = % 85.89/12.09 v9 & $i(v40) & $i(v21) & $i(v9)) | (v37 = e1 & ~ (v38 = e3) & ~ (v16 = % 85.89/12.09 v8) & op(v8, e3) = e1 & op(v8, e1) = v38 & op(e3, e1) = v16 & op(e1, % 85.89/12.09 e3) = v8 & $i(v38) & $i(v16) & $i(v8)) | (v35 = e1 & ~ (v36 = e2) & % 85.89/12.09 ~ (v11 = v7) & op(v7, e2) = e1 & op(v7, e1) = v36 & op(e2, e1) = v11 & % 85.89/12.09 op(e1, e2) = v7 & $i(v36) & $i(v11) & $i(v7)) | (v33 = e1 & ~ (v34 = % 85.89/12.09 e0) & ~ (v5 = v1) & op(v5, e1) = v34 & op(v5, e0) = e1 & op(e1, e0) = % 85.89/12.09 v5 & op(e0, e1) = v1 & $i(v34) & $i(v5) & $i(v1)) | (v31 = e0 & ~ (v32 % 85.89/12.09 = e4) & ~ (v20 = v4) & op(v4, e4) = e0 & op(v4, e0) = v32 & op(e4, % 85.89/12.09 e0) = v20 & op(e0, e4) = v4 & $i(v32) & $i(v20) & $i(v4)) | (v29 = e0 % 85.89/12.09 & ~ (v30 = e3) & ~ (v15 = v3) & op(v3, e3) = e0 & op(v3, e0) = v30 & % 85.89/12.09 op(e3, e0) = v15 & op(e0, e3) = v3 & $i(v30) & $i(v15) & $i(v3)) | (v27 % 85.89/12.09 = e0 & ~ (v28 = e2) & ~ (v10 = v2) & op(v2, e2) = e0 & op(v2, e0) = % 85.89/12.09 v28 & op(e2, e0) = v10 & op(e0, e2) = v2 & $i(v28) & $i(v10) & $i(v2)) | % 85.89/12.09 (v25 = e0 & ~ (v26 = e1) & ~ (v5 = v1) & op(v1, e1) = e0 & op(v1, e0) = % 85.89/12.09 v26 & op(e1, e0) = v5 & op(e0, e1) = v1 & $i(v26) & $i(v5) & $i(v1))) & % 85.89/12.09 ((op(e4, e4) = v24 & op(e3, e4) = v19 & op(e2, e4) = v14 & op(e1, e4) = v9 & % 85.89/12.09 op(e0, e4) = v4 & $i(v24) & $i(v19) & $i(v14) & $i(v9) & $i(v4) & ( ~ % 85.89/12.09 (v24 = e4) | ~ (unit = e4)) & ( ~ (v19 = e4) | ~ (unit = e4)) & ( ~ % 85.89/12.09 (v14 = e4) | ~ (unit = e4)) & ( ~ (v9 = e4) | ~ (unit = e4)) & ( ~ % 85.89/12.09 (v4 = e4) | ~ (unit = e4)) & ((v24 = e3 & ~ (unit = e4)) | ( ~ (v23 % 85.89/12.09 = e4) & op(e4, e3) = v23 & $i(v23))) & ((v24 = e2 & ~ (unit = % 85.89/12.09 e4)) | ( ~ (v22 = e4) & op(e4, e2) = v22 & $i(v22))) & ((v24 = e1 % 85.89/12.09 & ~ (unit = e4)) | ( ~ (v21 = e4) & op(e4, e1) = v21 & $i(v21))) & % 85.89/12.09 ((v24 = e0 & ~ (unit = e4)) | ( ~ (v20 = e4) & op(e4, e0) = v20 & % 85.89/12.09 $i(v20))) & ((v19 = e3 & ~ (unit = e4)) | ( ~ (v18 = e4) & op(e3, % 85.89/12.09 e3) = v18 & $i(v18))) & ((v19 = e2 & ~ (unit = e4)) | ( ~ (v17 = % 85.89/12.09 e4) & op(e3, e2) = v17 & $i(v17))) & ((v19 = e1 & ~ (unit = e4)) % 85.89/12.09 | ( ~ (v16 = e4) & op(e3, e1) = v16 & $i(v16))) & ((v19 = e0 & ~ % 85.89/12.09 (unit = e4)) | ( ~ (v15 = e4) & op(e3, e0) = v15 & $i(v15))) & ((v14 % 85.89/12.09 = e3 & ~ (unit = e4)) | ( ~ (v13 = e4) & op(e2, e3) = v13 & % 85.89/12.09 $i(v13))) & ((v14 = e2 & ~ (unit = e4)) | ( ~ (v12 = e4) & op(e2, % 85.89/12.09 e2) = v12 & $i(v12))) & ((v14 = e1 & ~ (unit = e4)) | ( ~ (v11 = % 85.89/12.09 e4) & op(e2, e1) = v11 & $i(v11))) & ((v14 = e0 & ~ (unit = e4)) % 85.89/12.09 | ( ~ (v10 = e4) & op(e2, e0) = v10 & $i(v10))) & ((v9 = e3 & ~ (unit % 85.89/12.09 = e4)) | ( ~ (v8 = e4) & op(e1, e3) = v8 & $i(v8))) & ((v9 = e2 & % 85.89/12.09 ~ (unit = e4)) | ( ~ (v7 = e4) & op(e1, e2) = v7 & $i(v7))) & ((v9 = % 85.89/12.09 e1 & ~ (unit = e4)) | ( ~ (v6 = e4) & op(e1, e1) = v6 & $i(v6))) & % 85.89/12.09 ((v9 = e0 & ~ (unit = e4)) | ( ~ (v5 = e4) & op(e1, e0) = v5 & $i(v5))) % 85.89/12.09 & ((v4 = e3 & ~ (unit = e4)) | ( ~ (v3 = e4) & op(e0, e3) = v3 & % 85.89/12.09 $i(v3))) & ((v4 = e2 & ~ (unit = e4)) | ( ~ (v2 = e4) & op(e0, e2) % 85.89/12.09 = v2 & $i(v2))) & ((v4 = e1 & ~ (unit = e4)) | ( ~ (v1 = e4) & % 85.89/12.09 op(e0, e1) = v1 & $i(v1))) & ((v4 = e0 & ~ (unit = e4)) | ( ~ (v0 = % 85.89/12.09 e4) & op(e0, e0) = v0 & $i(v0)))) | (op(e4, e3) = v23 & op(e3, e3) % 85.89/12.09 = v18 & op(e2, e3) = v13 & op(e1, e3) = v8 & op(e0, e3) = v3 & $i(v23) & % 85.89/12.09 $i(v18) & $i(v13) & $i(v8) & $i(v3) & ( ~ (v23 = e3) | ~ (unit = e3)) & % 85.89/12.09 ( ~ (v18 = e3) | ~ (unit = e3)) & ( ~ (v13 = e3) | ~ (unit = e3)) & ( % 85.89/12.09 ~ (v8 = e3) | ~ (unit = e3)) & ( ~ (v3 = e3) | ~ (unit = e3)) & % 85.89/12.09 ((v23 = e4 & ~ (unit = e3)) | ( ~ (v24 = e3) & op(e4, e4) = v24 & % 85.89/12.09 $i(v24))) & ((v23 = e2 & ~ (unit = e3)) | ( ~ (v22 = e3) & op(e4, % 85.89/12.09 e2) = v22 & $i(v22))) & ((v23 = e1 & ~ (unit = e3)) | ( ~ (v21 = % 85.89/12.09 e3) & op(e4, e1) = v21 & $i(v21))) & ((v23 = e0 & ~ (unit = e3)) % 85.89/12.09 | ( ~ (v20 = e3) & op(e4, e0) = v20 & $i(v20))) & ((v18 = e4 & ~ % 85.89/12.09 (unit = e3)) | ( ~ (v19 = e3) & op(e3, e4) = v19 & $i(v19))) & ((v18 % 85.89/12.09 = e2 & ~ (unit = e3)) | ( ~ (v17 = e3) & op(e3, e2) = v17 & % 85.89/12.09 $i(v17))) & ((v18 = e1 & ~ (unit = e3)) | ( ~ (v16 = e3) & op(e3, % 85.89/12.09 e1) = v16 & $i(v16))) & ((v18 = e0 & ~ (unit = e3)) | ( ~ (v15 = % 85.89/12.09 e3) & op(e3, e0) = v15 & $i(v15))) & ((v13 = e4 & ~ (unit = e3)) % 85.89/12.09 | ( ~ (v14 = e3) & op(e2, e4) = v14 & $i(v14))) & ((v13 = e2 & ~ % 85.89/12.09 (unit = e3)) | ( ~ (v12 = e3) & op(e2, e2) = v12 & $i(v12))) & ((v13 % 85.89/12.09 = e1 & ~ (unit = e3)) | ( ~ (v11 = e3) & op(e2, e1) = v11 & % 85.89/12.09 $i(v11))) & ((v13 = e0 & ~ (unit = e3)) | ( ~ (v10 = e3) & op(e2, % 85.89/12.09 e0) = v10 & $i(v10))) & ((v8 = e4 & ~ (unit = e3)) | ( ~ (v9 = % 85.89/12.09 e3) & op(e1, e4) = v9 & $i(v9))) & ((v8 = e2 & ~ (unit = e3)) | ( % 85.89/12.09 ~ (v7 = e3) & op(e1, e2) = v7 & $i(v7))) & ((v8 = e1 & ~ (unit = % 85.89/12.09 e3)) | ( ~ (v6 = e3) & op(e1, e1) = v6 & $i(v6))) & ((v8 = e0 & ~ % 85.89/12.09 (unit = e3)) | ( ~ (v5 = e3) & op(e1, e0) = v5 & $i(v5))) & ((v3 = % 85.89/12.09 e4 & ~ (unit = e3)) | ( ~ (v4 = e3) & op(e0, e4) = v4 & $i(v4))) & % 85.89/12.09 ((v3 = e2 & ~ (unit = e3)) | ( ~ (v2 = e3) & op(e0, e2) = v2 & $i(v2))) % 85.89/12.09 & ((v3 = e1 & ~ (unit = e3)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & % 85.89/12.09 $i(v1))) & ((v3 = e0 & ~ (unit = e3)) | ( ~ (v0 = e3) & op(e0, e0) % 85.89/12.09 = v0 & $i(v0)))) | (op(e4, e2) = v22 & op(e3, e2) = v17 & op(e2, e2) % 85.89/12.09 = v12 & op(e1, e2) = v7 & op(e0, e2) = v2 & $i(v22) & $i(v17) & $i(v12) % 85.89/12.09 & $i(v7) & $i(v2) & ( ~ (v22 = e2) | ~ (unit = e2)) & ( ~ (v17 = e2) | % 85.89/12.09 ~ (unit = e2)) & ( ~ (v12 = e2) | ~ (unit = e2)) & ( ~ (v7 = e2) | ~ % 85.89/12.09 (unit = e2)) & ( ~ (v2 = e2) | ~ (unit = e2)) & ((v22 = e4 & ~ (unit % 85.89/12.09 = e2)) | ( ~ (v24 = e2) & op(e4, e4) = v24 & $i(v24))) & ((v22 = % 85.89/12.09 e3 & ~ (unit = e2)) | ( ~ (v23 = e2) & op(e4, e3) = v23 & $i(v23))) % 85.89/12.09 & ((v22 = e1 & ~ (unit = e2)) | ( ~ (v21 = e2) & op(e4, e1) = v21 & % 85.89/12.09 $i(v21))) & ((v22 = e0 & ~ (unit = e2)) | ( ~ (v20 = e2) & op(e4, % 85.89/12.09 e0) = v20 & $i(v20))) & ((v17 = e4 & ~ (unit = e2)) | ( ~ (v19 = % 85.89/12.09 e2) & op(e3, e4) = v19 & $i(v19))) & ((v17 = e3 & ~ (unit = e2)) % 85.89/12.09 | ( ~ (v18 = e2) & op(e3, e3) = v18 & $i(v18))) & ((v17 = e1 & ~ % 85.89/12.09 (unit = e2)) | ( ~ (v16 = e2) & op(e3, e1) = v16 & $i(v16))) & ((v17 % 85.89/12.09 = e0 & ~ (unit = e2)) | ( ~ (v15 = e2) & op(e3, e0) = v15 & % 85.89/12.09 $i(v15))) & ((v12 = e4 & ~ (unit = e2)) | ( ~ (v14 = e2) & op(e2, % 85.89/12.09 e4) = v14 & $i(v14))) & ((v12 = e3 & ~ (unit = e2)) | ( ~ (v13 = % 85.89/12.09 e2) & op(e2, e3) = v13 & $i(v13))) & ((v12 = e1 & ~ (unit = e2)) % 85.89/12.09 | ( ~ (v11 = e2) & op(e2, e1) = v11 & $i(v11))) & ((v12 = e0 & ~ % 85.89/12.09 (unit = e2)) | ( ~ (v10 = e2) & op(e2, e0) = v10 & $i(v10))) & ((v7 % 85.89/12.09 = e4 & ~ (unit = e2)) | ( ~ (v9 = e2) & op(e1, e4) = v9 & $i(v9))) % 85.89/12.09 & ((v7 = e3 & ~ (unit = e2)) | ( ~ (v8 = e2) & op(e1, e3) = v8 & % 85.89/12.09 $i(v8))) & ((v7 = e1 & ~ (unit = e2)) | ( ~ (v6 = e2) & op(e1, e1) % 85.89/12.09 = v6 & $i(v6))) & ((v7 = e0 & ~ (unit = e2)) | ( ~ (v5 = e2) & % 85.89/12.09 op(e1, e0) = v5 & $i(v5))) & ((v2 = e4 & ~ (unit = e2)) | ( ~ (v4 = % 85.89/12.09 e2) & op(e0, e4) = v4 & $i(v4))) & ((v2 = e3 & ~ (unit = e2)) | ( % 85.89/12.09 ~ (v3 = e2) & op(e0, e3) = v3 & $i(v3))) & ((v2 = e1 & ~ (unit = % 85.89/12.09 e2)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))) & ((v2 = e0 & ~ % 85.89/12.09 (unit = e2)) | ( ~ (v0 = e2) & op(e0, e0) = v0 & $i(v0)))) | (op(e4, % 85.89/12.09 e1) = v21 & op(e3, e1) = v16 & op(e2, e1) = v11 & op(e1, e1) = v6 & % 85.89/12.09 op(e0, e1) = v1 & $i(v21) & $i(v16) & $i(v11) & $i(v6) & $i(v1) & ( ~ % 85.89/12.09 (v21 = e1) | ~ (unit = e1)) & ( ~ (v16 = e1) | ~ (unit = e1)) & ( ~ % 85.89/12.09 (v11 = e1) | ~ (unit = e1)) & ( ~ (v6 = e1) | ~ (unit = e1)) & ( ~ % 85.89/12.09 (v1 = e1) | ~ (unit = e1)) & ((v21 = e4 & ~ (unit = e1)) | ( ~ (v24 % 85.89/12.09 = e1) & op(e4, e4) = v24 & $i(v24))) & ((v21 = e3 & ~ (unit = % 85.89/12.09 e1)) | ( ~ (v23 = e1) & op(e4, e3) = v23 & $i(v23))) & ((v21 = e2 % 85.89/12.09 & ~ (unit = e1)) | ( ~ (v22 = e1) & op(e4, e2) = v22 & $i(v22))) & % 85.89/12.09 ((v21 = e0 & ~ (unit = e1)) | ( ~ (v20 = e1) & op(e4, e0) = v20 & % 85.89/12.09 $i(v20))) & ((v16 = e4 & ~ (unit = e1)) | ( ~ (v19 = e1) & op(e3, % 85.89/12.09 e4) = v19 & $i(v19))) & ((v16 = e3 & ~ (unit = e1)) | ( ~ (v18 = % 85.89/12.09 e1) & op(e3, e3) = v18 & $i(v18))) & ((v16 = e2 & ~ (unit = e1)) % 85.89/12.09 | ( ~ (v17 = e1) & op(e3, e2) = v17 & $i(v17))) & ((v16 = e0 & ~ % 85.89/12.09 (unit = e1)) | ( ~ (v15 = e1) & op(e3, e0) = v15 & $i(v15))) & ((v11 % 85.89/12.09 = e4 & ~ (unit = e1)) | ( ~ (v14 = e1) & op(e2, e4) = v14 & % 85.89/12.09 $i(v14))) & ((v11 = e3 & ~ (unit = e1)) | ( ~ (v13 = e1) & op(e2, % 85.89/12.09 e3) = v13 & $i(v13))) & ((v11 = e2 & ~ (unit = e1)) | ( ~ (v12 = % 85.89/12.10 e1) & op(e2, e2) = v12 & $i(v12))) & ((v11 = e0 & ~ (unit = e1)) % 85.89/12.10 | ( ~ (v10 = e1) & op(e2, e0) = v10 & $i(v10))) & ((v6 = e4 & ~ (unit % 85.89/12.10 = e1)) | ( ~ (v9 = e1) & op(e1, e4) = v9 & $i(v9))) & ((v6 = e3 & % 85.89/12.10 ~ (unit = e1)) | ( ~ (v8 = e1) & op(e1, e3) = v8 & $i(v8))) & ((v6 = % 85.89/12.10 e2 & ~ (unit = e1)) | ( ~ (v7 = e1) & op(e1, e2) = v7 & $i(v7))) & % 85.89/12.10 ((v6 = e0 & ~ (unit = e1)) | ( ~ (v5 = e1) & op(e1, e0) = v5 & $i(v5))) % 85.89/12.10 & ((v1 = e4 & ~ (unit = e1)) | ( ~ (v4 = e1) & op(e0, e4) = v4 & % 85.89/12.10 $i(v4))) & ((v1 = e3 & ~ (unit = e1)) | ( ~ (v3 = e1) & op(e0, e3) % 85.89/12.10 = v3 & $i(v3))) & ((v1 = e2 & ~ (unit = e1)) | ( ~ (v2 = e1) & % 85.89/12.10 op(e0, e2) = v2 & $i(v2))) & ((v1 = e0 & ~ (unit = e1)) | ( ~ (v0 = % 85.89/12.10 e1) & op(e0, e0) = v0 & $i(v0)))) | (op(e4, e0) = v20 & op(e3, e0) % 85.89/12.10 = v15 & op(e2, e0) = v10 & op(e1, e0) = v5 & op(e0, e0) = v0 & $i(v20) & % 85.89/12.10 $i(v15) & $i(v10) & $i(v5) & $i(v0) & ( ~ (v20 = e0) | ~ (unit = e0)) & % 85.89/12.10 ( ~ (v15 = e0) | ~ (unit = e0)) & ( ~ (v10 = e0) | ~ (unit = e0)) & ( % 85.89/12.10 ~ (v5 = e0) | ~ (unit = e0)) & ( ~ (v0 = e0) | ~ (unit = e0)) & % 85.89/12.10 ((v20 = e4 & ~ (unit = e0)) | ( ~ (v24 = e0) & op(e4, e4) = v24 & % 85.89/12.10 $i(v24))) & ((v20 = e3 & ~ (unit = e0)) | ( ~ (v23 = e0) & op(e4, % 85.89/12.10 e3) = v23 & $i(v23))) & ((v20 = e2 & ~ (unit = e0)) | ( ~ (v22 = % 85.89/12.10 e0) & op(e4, e2) = v22 & $i(v22))) & ((v20 = e1 & ~ (unit = e0)) % 85.89/12.10 | ( ~ (v21 = e0) & op(e4, e1) = v21 & $i(v21))) & ((v15 = e4 & ~ % 85.89/12.10 (unit = e0)) | ( ~ (v19 = e0) & op(e3, e4) = v19 & $i(v19))) & ((v15 % 85.89/12.10 = e3 & ~ (unit = e0)) | ( ~ (v18 = e0) & op(e3, e3) = v18 & % 85.89/12.10 $i(v18))) & ((v15 = e2 & ~ (unit = e0)) | ( ~ (v17 = e0) & op(e3, % 85.89/12.10 e2) = v17 & $i(v17))) & ((v15 = e1 & ~ (unit = e0)) | ( ~ (v16 = % 85.89/12.10 e0) & op(e3, e1) = v16 & $i(v16))) & ((v10 = e4 & ~ (unit = e0)) % 85.89/12.10 | ( ~ (v14 = e0) & op(e2, e4) = v14 & $i(v14))) & ((v10 = e3 & ~ % 85.89/12.10 (unit = e0)) | ( ~ (v13 = e0) & op(e2, e3) = v13 & $i(v13))) & ((v10 % 85.89/12.10 = e2 & ~ (unit = e0)) | ( ~ (v12 = e0) & op(e2, e2) = v12 & % 85.89/12.10 $i(v12))) & ((v10 = e1 & ~ (unit = e0)) | ( ~ (v11 = e0) & op(e2, % 85.89/12.10 e1) = v11 & $i(v11))) & ((v5 = e4 & ~ (unit = e0)) | ( ~ (v9 = % 85.89/12.10 e0) & op(e1, e4) = v9 & $i(v9))) & ((v5 = e3 & ~ (unit = e0)) | ( % 85.89/12.10 ~ (v8 = e0) & op(e1, e3) = v8 & $i(v8))) & ((v5 = e2 & ~ (unit = % 85.89/12.10 e0)) | ( ~ (v7 = e0) & op(e1, e2) = v7 & $i(v7))) & ((v5 = e1 & ~ % 85.89/12.10 (unit = e0)) | ( ~ (v6 = e0) & op(e1, e1) = v6 & $i(v6))) & ((v0 = % 85.89/12.10 e4 & ~ (unit = e0)) | ( ~ (v4 = e0) & op(e0, e4) = v4 & $i(v4))) & % 85.89/12.10 ((v0 = e3 & ~ (unit = e0)) | ( ~ (v3 = e0) & op(e0, e3) = v3 & $i(v3))) % 85.89/12.10 & ((v0 = e2 & ~ (unit = e0)) | ( ~ (v2 = e0) & op(e0, e2) = v2 & % 85.89/12.10 $i(v2))) & ((v0 = e1 & ~ (unit = e0)) | ( ~ (v1 = e0) & op(e0, e1) % 85.89/12.10 = v1 & $i(v1)))))) % 85.89/12.10 % 85.89/12.10 (function-axioms) % 85.89/12.10 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 85.89/12.10 v2) = v1) | ~ (op(v3, v2) = v0)) % 85.89/12.10 % 85.89/12.10 Those formulas are unsatisfiable: % 85.89/12.10 --------------------------------- % 85.89/12.10 % 85.89/12.10 Begin of proof % 85.89/12.10 | % 85.89/12.10 | ALPHA: (ax1) implies: % 85.89/12.11 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 85.89/12.11 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 85.89/12.11 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 85.89/12.11 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 85.89/12.11 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 85.89/12.11 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 & % 85.89/12.11 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 85.89/12.11 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, % 85.89/12.11 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 % 85.89/12.11 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = % 85.89/12.11 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) % 85.89/12.11 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) % 85.89/12.11 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) % 85.89/12.11 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 85.89/12.11 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 85.89/12.11 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1 % 85.89/12.11 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 = % 85.89/12.11 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21 % 85.89/12.11 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 % 85.89/12.11 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 % 85.89/12.11 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 % 85.89/12.11 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 % 85.89/12.11 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & % 85.89/12.11 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 | % 85.89/12.11 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 | % 85.89/12.11 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 | % 85.89/12.11 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 | % 85.89/12.11 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) % 85.89/12.11 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = % 85.89/12.11 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 | % 85.89/12.11 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = % 85.89/12.11 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 % 85.89/12.11 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 % 85.89/12.11 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 % 85.89/12.11 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & % 85.89/12.11 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0)) % 85.89/12.11 | % 85.89/12.11 | ALPHA: (ax2) implies: % 85.89/12.11 | (2) op(e0, unit) = e0 % 85.89/12.11 | (3) op(e1, unit) = e1 % 85.89/12.11 | (4) op(e3, unit) = e3 % 85.89/12.11 | (5) op(e4, unit) = e4 % 85.89/12.11 | (6) op(unit, e0) = e0 % 85.89/12.11 | (7) op(unit, e1) = e1 % 85.89/12.11 | (8) op(unit, e2) = e2 % 85.89/12.11 | (9) op(unit, e4) = e4 % 86.03/12.11 | (10) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 86.03/12.11 | % 86.03/12.11 | ALPHA: (ax3) implies: % 86.09/12.12 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 86.09/12.12 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 86.09/12.12 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 86.09/12.12 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 86.09/12.12 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 86.09/12.12 | : ? [v24: $i] : (((v24 = e4 & op(e4, e4) = e4) | (v23 = e4 & op(e4, % 86.09/12.12 | e3) = e4) | (v20 = e4 & op(e4, e2) = e4) | (v15 = e4 & op(e4, % 86.09/12.12 | e1) = e4) | (v8 = e4 & op(e4, e0) = e4)) & ((v24 = e4 & op(e4, % 86.09/12.12 | e4) = e4) | (v22 = e4 & op(e3, e4) = e4) | (v18 = e4 & op(e2, % 86.09/12.12 | e4) = e4) | (v12 = e4 & op(e1, e4) = e4) | (v4 = e4 & op(e0, % 86.09/12.12 | e4) = e4)) & ((v24 = e3 & op(e4, e4) = e3) | (v23 = e3 & % 86.09/12.12 | op(e4, e3) = e3) | (v20 = e3 & op(e4, e2) = e3) | (v15 = e3 & % 86.09/12.12 | op(e4, e1) = e3) | (v8 = e3 & op(e4, e0) = e3)) & ((v24 = e3 & % 86.09/12.12 | op(e4, e4) = e3) | (v22 = e3 & op(e3, e4) = e3) | (v18 = e3 & % 86.09/12.12 | op(e2, e4) = e3) | (v12 = e3 & op(e1, e4) = e3) | (v4 = e3 & % 86.09/12.12 | op(e0, e4) = e3)) & ((v24 = e2 & op(e4, e4) = e2) | (v23 = e2 & % 86.09/12.12 | op(e4, e3) = e2) | (v20 = e2 & op(e4, e2) = e2) | (v15 = e2 & % 86.09/12.12 | op(e4, e1) = e2) | (v8 = e2 & op(e4, e0) = e2)) & ((v24 = e2 & % 86.09/12.12 | op(e4, e4) = e2) | (v22 = e2 & op(e3, e4) = e2) | (v18 = e2 & % 86.09/12.12 | op(e2, e4) = e2) | (v12 = e2 & op(e1, e4) = e2) | (v4 = e2 & % 86.09/12.12 | op(e0, e4) = e2)) & ((v24 = e1 & op(e4, e4) = e1) | (v23 = e1 & % 86.09/12.12 | op(e4, e3) = e1) | (v20 = e1 & op(e4, e2) = e1) | (v15 = e1 & % 86.09/12.12 | op(e4, e1) = e1) | (v8 = e1 & op(e4, e0) = e1)) & ((v24 = e1 & % 86.09/12.12 | op(e4, e4) = e1) | (v22 = e1 & op(e3, e4) = e1) | (v18 = e1 & % 86.09/12.12 | op(e2, e4) = e1) | (v12 = e1 & op(e1, e4) = e1) | (v4 = e1 & % 86.09/12.12 | op(e0, e4) = e1)) & ((v24 = e0 & op(e4, e4) = e0) | (v23 = e0 & % 86.09/12.12 | op(e4, e3) = e0) | (v20 = e0 & op(e4, e2) = e0) | (v15 = e0 & % 86.09/12.12 | op(e4, e1) = e0) | (v8 = e0 & op(e4, e0) = e0)) & ((v24 = e0 & % 86.09/12.12 | op(e4, e4) = e0) | (v22 = e0 & op(e3, e4) = e0) | (v18 = e0 & % 86.09/12.12 | op(e2, e4) = e0) | (v12 = e0 & op(e1, e4) = e0) | (v4 = e0 & % 86.09/12.12 | op(e0, e4) = e0)) & ((v23 = e4 & op(e4, e3) = e4) | (v21 = e4 & % 86.09/12.12 | op(e3, e3) = e4) | (v17 = e4 & op(e2, e3) = e4) | (v11 = e4 & % 86.09/12.12 | op(e1, e3) = e4) | (v3 = e4 & op(e0, e3) = e4)) & ((v23 = e3 & % 86.09/12.12 | op(e4, e3) = e3) | (v21 = e3 & op(e3, e3) = e3) | (v17 = e3 & % 86.09/12.12 | op(e2, e3) = e3) | (v11 = e3 & op(e1, e3) = e3) | (v3 = e3 & % 86.09/12.12 | op(e0, e3) = e3)) & ((v23 = e2 & op(e4, e3) = e2) | (v21 = e2 & % 86.09/12.12 | op(e3, e3) = e2) | (v17 = e2 & op(e2, e3) = e2) | (v11 = e2 & % 86.09/12.12 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v23 = e1 & % 86.09/12.12 | op(e4, e3) = e1) | (v21 = e1 & op(e3, e3) = e1) | (v17 = e1 & % 86.09/12.12 | op(e2, e3) = e1) | (v11 = e1 & op(e1, e3) = e1) | (v3 = e1 & % 86.09/12.12 | op(e0, e3) = e1)) & ((v23 = e0 & op(e4, e3) = e0) | (v21 = e0 & % 86.09/12.12 | op(e3, e3) = e0) | (v17 = e0 & op(e2, e3) = e0) | (v11 = e0 & % 86.09/12.12 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v22 = e4 & % 86.09/12.12 | op(e3, e4) = e4) | (v21 = e4 & op(e3, e3) = e4) | (v19 = e4 & % 86.09/12.12 | op(e3, e2) = e4) | (v14 = e4 & op(e3, e1) = e4) | (v7 = e4 & % 86.09/12.12 | op(e3, e0) = e4)) & ((v22 = e3 & op(e3, e4) = e3) | (v21 = e3 & % 86.09/12.12 | op(e3, e3) = e3) | (v19 = e3 & op(e3, e2) = e3) | (v14 = e3 & % 86.09/12.12 | op(e3, e1) = e3) | (v7 = e3 & op(e3, e0) = e3)) & ((v22 = e2 & % 86.09/12.12 | op(e3, e4) = e2) | (v21 = e2 & op(e3, e3) = e2) | (v19 = e2 & % 86.09/12.12 | op(e3, e2) = e2) | (v14 = e2 & op(e3, e1) = e2) | (v7 = e2 & % 86.09/12.12 | op(e3, e0) = e2)) & ((v22 = e1 & op(e3, e4) = e1) | (v21 = e1 & % 86.09/12.12 | op(e3, e3) = e1) | (v19 = e1 & op(e3, e2) = e1) | (v14 = e1 & % 86.09/12.12 | op(e3, e1) = e1) | (v7 = e1 & op(e3, e0) = e1)) & ((v22 = e0 & % 86.09/12.12 | op(e3, e4) = e0) | (v21 = e0 & op(e3, e3) = e0) | (v19 = e0 & % 86.09/12.12 | op(e3, e2) = e0) | (v14 = e0 & op(e3, e1) = e0) | (v7 = e0 & % 86.09/12.12 | op(e3, e0) = e0)) & ((v20 = e4 & op(e4, e2) = e4) | (v19 = e4 & % 86.09/12.12 | op(e3, e2) = e4) | (v16 = e4 & op(e2, e2) = e4) | (v10 = e4 & % 86.09/12.12 | op(e1, e2) = e4) | (v2 = e4 & op(e0, e2) = e4)) & ((v20 = e3 & % 86.09/12.12 | op(e4, e2) = e3) | (v19 = e3 & op(e3, e2) = e3) | (v16 = e3 & % 86.09/12.12 | op(e2, e2) = e3) | (v10 = e3 & op(e1, e2) = e3) | (v2 = e3 & % 86.09/12.12 | op(e0, e2) = e3)) & ((v20 = e2 & op(e4, e2) = e2) | (v19 = e2 & % 86.09/12.12 | op(e3, e2) = e2) | (v16 = e2 & op(e2, e2) = e2) | (v10 = e2 & % 86.09/12.12 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v20 = e1 & % 86.09/12.12 | op(e4, e2) = e1) | (v19 = e1 & op(e3, e2) = e1) | (v16 = e1 & % 86.09/12.12 | op(e2, e2) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v2 = e1 & % 86.09/12.12 | op(e0, e2) = e1)) & ((v20 = e0 & op(e4, e2) = e0) | (v19 = e0 & % 86.09/12.12 | op(e3, e2) = e0) | (v16 = e0 & op(e2, e2) = e0) | (v10 = e0 & % 86.09/12.12 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v18 = e4 & % 86.09/12.12 | op(e2, e4) = e4) | (v17 = e4 & op(e2, e3) = e4) | (v16 = e4 & % 86.09/12.12 | op(e2, e2) = e4) | (v13 = e4 & op(e2, e1) = e4) | (v6 = e4 & % 86.09/12.12 | op(e2, e0) = e4)) & ((v18 = e3 & op(e2, e4) = e3) | (v17 = e3 & % 86.09/12.12 | op(e2, e3) = e3) | (v16 = e3 & op(e2, e2) = e3) | (v13 = e3 & % 86.09/12.12 | op(e2, e1) = e3) | (v6 = e3 & op(e2, e0) = e3)) & ((v18 = e2 & % 86.09/12.12 | op(e2, e4) = e2) | (v17 = e2 & op(e2, e3) = e2) | (v16 = e2 & % 86.09/12.12 | op(e2, e2) = e2) | (v13 = e2 & op(e2, e1) = e2) | (v6 = e2 & % 86.09/12.12 | op(e2, e0) = e2)) & ((v18 = e1 & op(e2, e4) = e1) | (v17 = e1 & % 86.09/12.12 | op(e2, e3) = e1) | (v16 = e1 & op(e2, e2) = e1) | (v13 = e1 & % 86.09/12.12 | op(e2, e1) = e1) | (v6 = e1 & op(e2, e0) = e1)) & ((v18 = e0 & % 86.09/12.12 | op(e2, e4) = e0) | (v17 = e0 & op(e2, e3) = e0) | (v16 = e0 & % 86.09/12.12 | op(e2, e2) = e0) | (v13 = e0 & op(e2, e1) = e0) | (v6 = e0 & % 86.09/12.12 | op(e2, e0) = e0)) & ((v15 = e4 & op(e4, e1) = e4) | (v14 = e4 & % 86.09/12.12 | op(e3, e1) = e4) | (v13 = e4 & op(e2, e1) = e4) | (v9 = e4 & % 86.09/12.12 | op(e1, e1) = e4) | (v1 = e4 & op(e0, e1) = e4)) & ((v15 = e3 & % 86.09/12.12 | op(e4, e1) = e3) | (v14 = e3 & op(e3, e1) = e3) | (v13 = e3 & % 86.09/12.12 | op(e2, e1) = e3) | (v9 = e3 & op(e1, e1) = e3) | (v1 = e3 & % 86.09/12.12 | op(e0, e1) = e3)) & ((v15 = e2 & op(e4, e1) = e2) | (v14 = e2 & % 86.09/12.12 | op(e3, e1) = e2) | (v13 = e2 & op(e2, e1) = e2) | (v9 = e2 & % 86.09/12.12 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v15 = e1 & % 86.09/12.12 | op(e4, e1) = e1) | (v14 = e1 & op(e3, e1) = e1) | (v13 = e1 & % 86.09/12.12 | op(e2, e1) = e1) | (v9 = e1 & op(e1, e1) = e1) | (v1 = e1 & % 86.09/12.12 | op(e0, e1) = e1)) & ((v15 = e0 & op(e4, e1) = e0) | (v14 = e0 & % 86.09/12.12 | op(e3, e1) = e0) | (v13 = e0 & op(e2, e1) = e0) | (v9 = e0 & % 86.09/12.12 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v12 = e4 & % 86.09/12.12 | op(e1, e4) = e4) | (v11 = e4 & op(e1, e3) = e4) | (v10 = e4 & % 86.09/12.12 | op(e1, e2) = e4) | (v9 = e4 & op(e1, e1) = e4) | (v5 = e4 & % 86.09/12.12 | op(e1, e0) = e4)) & ((v12 = e3 & op(e1, e4) = e3) | (v11 = e3 & % 86.09/12.12 | op(e1, e3) = e3) | (v10 = e3 & op(e1, e2) = e3) | (v9 = e3 & % 86.09/12.12 | op(e1, e1) = e3) | (v5 = e3 & op(e1, e0) = e3)) & ((v12 = e2 & % 86.09/12.12 | op(e1, e4) = e2) | (v11 = e2 & op(e1, e3) = e2) | (v10 = e2 & % 86.09/12.12 | op(e1, e2) = e2) | (v9 = e2 & op(e1, e1) = e2) | (v5 = e2 & % 86.09/12.12 | op(e1, e0) = e2)) & ((v12 = e1 & op(e1, e4) = e1) | (v11 = e1 & % 86.09/12.12 | op(e1, e3) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v9 = e1 & % 86.09/12.12 | op(e1, e1) = e1) | (v5 = e1 & op(e1, e0) = e1)) & ((v12 = e0 & % 86.09/12.12 | op(e1, e4) = e0) | (v11 = e0 & op(e1, e3) = e0) | (v10 = e0 & % 86.09/12.12 | op(e1, e2) = e0) | (v9 = e0 & op(e1, e1) = e0) | (v5 = e0 & % 86.09/12.12 | op(e1, e0) = e0)) & ((v8 = e4 & op(e4, e0) = e4) | (v7 = e4 & % 86.09/12.12 | op(e3, e0) = e4) | (v6 = e4 & op(e2, e0) = e4) | (v5 = e4 & % 86.09/12.12 | op(e1, e0) = e4) | (v0 = e4 & op(e0, e0) = e4)) & ((v8 = e3 & % 86.09/12.13 | op(e4, e0) = e3) | (v7 = e3 & op(e3, e0) = e3) | (v6 = e3 & % 86.09/12.13 | op(e2, e0) = e3) | (v5 = e3 & op(e1, e0) = e3) | (v0 = e3 & % 86.09/12.13 | op(e0, e0) = e3)) & ((v8 = e2 & op(e4, e0) = e2) | (v7 = e2 & % 86.09/12.13 | op(e3, e0) = e2) | (v6 = e2 & op(e2, e0) = e2) | (v5 = e2 & % 86.09/12.13 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v8 = e1 & % 86.09/12.13 | op(e4, e0) = e1) | (v7 = e1 & op(e3, e0) = e1) | (v6 = e1 & % 86.09/12.13 | op(e2, e0) = e1) | (v5 = e1 & op(e1, e0) = e1) | (v0 = e1 & % 86.09/12.13 | op(e0, e0) = e1)) & ((v4 = e4 & op(e0, e4) = e4) | (v3 = e4 & % 86.09/12.13 | op(e0, e3) = e4) | (v2 = e4 & op(e0, e2) = e4) | (v1 = e4 & % 86.09/12.13 | op(e0, e1) = e4) | (v0 = e4 & op(e0, e0) = e4)) & ((v4 = e3 & % 86.09/12.13 | op(e0, e4) = e3) | (v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & % 86.09/12.13 | op(e0, e2) = e3) | (v1 = e3 & op(e0, e1) = e3) | (v0 = e3 & % 86.09/12.13 | op(e0, e0) = e3)) & ((v4 = e2 & op(e0, e4) = e2) | (v3 = e2 & % 86.09/12.13 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & % 86.09/12.13 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v4 = e1 & % 86.09/12.13 | op(e0, e4) = e1) | (v3 = e1 & op(e0, e3) = e1) | (v2 = e1 & % 86.09/12.13 | op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 & % 86.09/12.13 | op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v8 = e0 & % 86.09/12.13 | op(e4, e0) = e0) | (v7 = e0 & op(e3, e0) = e0) | (v6 = e0 & % 86.09/12.13 | op(e2, e0) = e0) | (v5 = e0 & op(e1, e0) = e0)) & ((v4 = e0 % 86.09/12.13 | & op(e0, e4) = e0) | (v3 = e0 & op(e0, e3) = e0) | (v2 = e0 % 86.09/12.13 | & op(e0, e2) = e0) | (v1 = e0 & op(e0, e1) = e0))))) % 86.09/12.13 | % 86.09/12.13 | ALPHA: (ax4) implies: % 86.09/12.13 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 86.09/12.13 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 86.09/12.13 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 86.09/12.13 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 86.09/12.13 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 86.09/12.13 | : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 86.09/12.13 | ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ % 86.09/12.13 | (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ % 86.09/12.13 | (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ % 86.09/12.13 | (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ % 86.09/12.13 | (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~ % 86.09/12.13 | (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~ % 86.09/12.13 | (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~ % 86.09/12.13 | (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~ % 86.09/12.13 | (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ % 86.09/12.13 | (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ % 86.09/12.13 | (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ % 86.09/12.13 | (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ % 86.09/12.13 | (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ % 86.09/12.13 | (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~ % 86.09/12.13 | (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~ % 86.09/12.13 | (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~ % 86.09/12.13 | (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~ % 86.09/12.13 | (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9 % 86.09/12.13 | = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) % 86.09/12.13 | & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 % 86.09/12.13 | = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) % 86.09/12.13 | & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 % 86.09/12.13 | = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) % 86.09/12.13 | & ~ (v2 = v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 % 86.09/12.13 | & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) % 86.09/12.13 | = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & % 86.09/12.13 | op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = % 86.09/12.13 | v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, % 86.09/12.13 | e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 86.09/12.13 | op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) % 86.09/12.13 | = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 86.09/12.13 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 86.09/12.13 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 86.09/12.13 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 86.09/12.13 | % 86.09/12.13 | ALPHA: (ax5) implies: % 86.09/12.13 | (13) ~ (e1 = e0) % 86.09/12.13 | (14) ~ (e2 = e0) % 86.09/12.13 | (15) ~ (e2 = e1) % 86.09/12.13 | (16) ~ (e3 = e0) % 86.09/12.13 | (17) ~ (e3 = e2) % 86.09/12.13 | (18) ~ (e4 = e0) % 86.09/12.13 | (19) ~ (e4 = e2) % 86.09/12.13 | (20) ~ (e4 = e3) % 86.09/12.13 | % 86.09/12.13 | ALPHA: (ax6) implies: % 86.09/12.13 | (21) op(e1, e1) = e0 % 86.09/12.13 | (22) op(e2, e2) = e3 % 86.09/12.13 | (23) op(e3, e2) = e1 % 86.09/12.13 | (24) op(e3, e3) = e4 % 86.09/12.13 | % 86.09/12.13 | ALPHA: (co1) implies: % 86.09/12.15 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 86.09/12.15 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 86.09/12.15 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 86.09/12.15 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 86.09/12.15 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 86.09/12.15 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 86.09/12.15 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 86.09/12.15 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 86.09/12.15 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 86.09/12.15 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 86.09/12.15 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 86.09/12.15 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 86.09/12.15 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 86.09/12.15 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : (((v63 = e4 & % 86.09/12.15 | ~ (v64 = e3) & ~ (v23 = v19) & op(v23, e4) = v64 & op(v23, e3) % 86.09/12.15 | = e4 & op(e4, e3) = v23 & op(e3, e4) = v19 & $i(v64) & $i(v23) & % 86.09/12.15 | $i(v19)) | (v61 = e4 & ~ (v62 = e2) & ~ (v22 = v14) & op(v22, % 86.09/12.15 | e4) = v62 & op(v22, e2) = e4 & op(e4, e2) = v22 & op(e2, e4) = % 86.09/12.15 | v14 & $i(v62) & $i(v22) & $i(v14)) | (v59 = e4 & ~ (v60 = e1) & % 86.09/12.15 | ~ (v21 = v9) & op(v21, e4) = v60 & op(v21, e1) = e4 & op(e4, % 86.09/12.15 | e1) = v21 & op(e1, e4) = v9 & $i(v60) & $i(v21) & $i(v9)) | % 86.09/12.15 | (v57 = e4 & ~ (v58 = e0) & ~ (v20 = v4) & op(v20, e4) = v58 & % 86.09/12.15 | op(v20, e0) = e4 & op(e4, e0) = v20 & op(e0, e4) = v4 & $i(v58) % 86.09/12.15 | & $i(v20) & $i(v4)) | (v55 = e3 & ~ (v56 = e4) & ~ (v23 = v19) % 86.09/12.15 | & op(v19, e4) = e3 & op(v19, e3) = v56 & op(e4, e3) = v23 & % 86.09/12.15 | op(e3, e4) = v19 & $i(v56) & $i(v23) & $i(v19)) | (v53 = e3 & ~ % 86.09/12.15 | (v54 = e2) & ~ (v17 = v13) & op(v17, e3) = v54 & op(v17, e2) = % 86.09/12.15 | e3 & op(e3, e2) = v17 & op(e2, e3) = v13 & $i(v54) & $i(v17) & % 86.09/12.15 | $i(v13)) | (v51 = e3 & ~ (v52 = e1) & ~ (v16 = v8) & op(v16, % 86.09/12.15 | e3) = v52 & op(v16, e1) = e3 & op(e3, e1) = v16 & op(e1, e3) = % 86.09/12.15 | v8 & $i(v52) & $i(v16) & $i(v8)) | (v49 = e3 & ~ (v50 = e0) & % 86.09/12.15 | ~ (v15 = v3) & op(v15, e3) = v50 & op(v15, e0) = e3 & op(e3, e0) % 86.09/12.15 | = v15 & op(e0, e3) = v3 & $i(v50) & $i(v15) & $i(v3)) | (v47 = % 86.09/12.15 | e2 & ~ (v48 = e4) & ~ (v22 = v14) & op(v14, e4) = e2 & op(v14, % 86.09/12.15 | e2) = v48 & op(e4, e2) = v22 & op(e2, e4) = v14 & $i(v48) & % 86.09/12.15 | $i(v22) & $i(v14)) | (v45 = e2 & ~ (v46 = e3) & ~ (v17 = v13) % 86.09/12.15 | & op(v13, e3) = e2 & op(v13, e2) = v46 & op(e3, e2) = v17 & % 86.09/12.15 | op(e2, e3) = v13 & $i(v46) & $i(v17) & $i(v13)) | (v43 = e2 & ~ % 86.09/12.15 | (v44 = e1) & ~ (v11 = v7) & op(v11, e2) = v44 & op(v11, e1) = % 86.09/12.15 | e2 & op(e2, e1) = v11 & op(e1, e2) = v7 & $i(v44) & $i(v11) & % 86.09/12.15 | $i(v7)) | (v41 = e2 & ~ (v42 = e0) & ~ (v10 = v2) & op(v10, % 86.09/12.15 | e2) = v42 & op(v10, e0) = e2 & op(e2, e0) = v10 & op(e0, e2) = % 86.09/12.15 | v2 & $i(v42) & $i(v10) & $i(v2)) | (v39 = e1 & ~ (v40 = e4) & % 86.09/12.15 | ~ (v21 = v9) & op(v9, e4) = e1 & op(v9, e1) = v40 & op(e4, e1) = % 86.09/12.15 | v21 & op(e1, e4) = v9 & $i(v40) & $i(v21) & $i(v9)) | (v37 = e1 % 86.09/12.15 | & ~ (v38 = e3) & ~ (v16 = v8) & op(v8, e3) = e1 & op(v8, e1) = % 86.09/12.15 | v38 & op(e3, e1) = v16 & op(e1, e3) = v8 & $i(v38) & $i(v16) & % 86.09/12.15 | $i(v8)) | (v35 = e1 & ~ (v36 = e2) & ~ (v11 = v7) & op(v7, e2) % 86.09/12.15 | = e1 & op(v7, e1) = v36 & op(e2, e1) = v11 & op(e1, e2) = v7 & % 86.09/12.15 | $i(v36) & $i(v11) & $i(v7)) | (v33 = e1 & ~ (v34 = e0) & ~ (v5 % 86.09/12.15 | = v1) & op(v5, e1) = v34 & op(v5, e0) = e1 & op(e1, e0) = v5 & % 86.09/12.15 | op(e0, e1) = v1 & $i(v34) & $i(v5) & $i(v1)) | (v31 = e0 & ~ % 86.09/12.15 | (v32 = e4) & ~ (v20 = v4) & op(v4, e4) = e0 & op(v4, e0) = v32 % 86.09/12.15 | & op(e4, e0) = v20 & op(e0, e4) = v4 & $i(v32) & $i(v20) & % 86.09/12.15 | $i(v4)) | (v29 = e0 & ~ (v30 = e3) & ~ (v15 = v3) & op(v3, e3) % 86.09/12.15 | = e0 & op(v3, e0) = v30 & op(e3, e0) = v15 & op(e0, e3) = v3 & % 86.09/12.15 | $i(v30) & $i(v15) & $i(v3)) | (v27 = e0 & ~ (v28 = e2) & ~ % 86.09/12.15 | (v10 = v2) & op(v2, e2) = e0 & op(v2, e0) = v28 & op(e2, e0) = % 86.09/12.15 | v10 & op(e0, e2) = v2 & $i(v28) & $i(v10) & $i(v2)) | (v25 = e0 % 86.09/12.15 | & ~ (v26 = e1) & ~ (v5 = v1) & op(v1, e1) = e0 & op(v1, e0) = % 86.09/12.15 | v26 & op(e1, e0) = v5 & op(e0, e1) = v1 & $i(v26) & $i(v5) & % 86.09/12.15 | $i(v1))) & ((op(e4, e4) = v24 & op(e3, e4) = v19 & op(e2, e4) = % 86.09/12.15 | v14 & op(e1, e4) = v9 & op(e0, e4) = v4 & $i(v24) & $i(v19) & % 86.09/12.15 | $i(v14) & $i(v9) & $i(v4) & ( ~ (v24 = e4) | ~ (unit = e4)) & ( % 86.09/12.15 | ~ (v19 = e4) | ~ (unit = e4)) & ( ~ (v14 = e4) | ~ (unit = % 86.09/12.15 | e4)) & ( ~ (v9 = e4) | ~ (unit = e4)) & ( ~ (v4 = e4) | ~ % 86.09/12.15 | (unit = e4)) & ((v24 = e3 & ~ (unit = e4)) | ( ~ (v23 = e4) & % 86.09/12.15 | op(e4, e3) = v23 & $i(v23))) & ((v24 = e2 & ~ (unit = e4)) % 86.09/12.15 | | ( ~ (v22 = e4) & op(e4, e2) = v22 & $i(v22))) & ((v24 = e1 & % 86.09/12.15 | ~ (unit = e4)) | ( ~ (v21 = e4) & op(e4, e1) = v21 & % 86.09/12.15 | $i(v21))) & ((v24 = e0 & ~ (unit = e4)) | ( ~ (v20 = e4) & % 86.09/12.15 | op(e4, e0) = v20 & $i(v20))) & ((v19 = e3 & ~ (unit = e4)) % 86.09/12.15 | | ( ~ (v18 = e4) & op(e3, e3) = v18 & $i(v18))) & ((v19 = e2 & % 86.09/12.15 | ~ (unit = e4)) | ( ~ (v17 = e4) & op(e3, e2) = v17 & % 86.09/12.15 | $i(v17))) & ((v19 = e1 & ~ (unit = e4)) | ( ~ (v16 = e4) & % 86.09/12.15 | op(e3, e1) = v16 & $i(v16))) & ((v19 = e0 & ~ (unit = e4)) % 86.09/12.15 | | ( ~ (v15 = e4) & op(e3, e0) = v15 & $i(v15))) & ((v14 = e3 & % 86.09/12.15 | ~ (unit = e4)) | ( ~ (v13 = e4) & op(e2, e3) = v13 & % 86.09/12.15 | $i(v13))) & ((v14 = e2 & ~ (unit = e4)) | ( ~ (v12 = e4) & % 86.09/12.15 | op(e2, e2) = v12 & $i(v12))) & ((v14 = e1 & ~ (unit = e4)) % 86.09/12.15 | | ( ~ (v11 = e4) & op(e2, e1) = v11 & $i(v11))) & ((v14 = e0 & % 86.09/12.15 | ~ (unit = e4)) | ( ~ (v10 = e4) & op(e2, e0) = v10 & % 86.09/12.15 | $i(v10))) & ((v9 = e3 & ~ (unit = e4)) | ( ~ (v8 = e4) & % 86.09/12.15 | op(e1, e3) = v8 & $i(v8))) & ((v9 = e2 & ~ (unit = e4)) | ( % 86.09/12.15 | ~ (v7 = e4) & op(e1, e2) = v7 & $i(v7))) & ((v9 = e1 & ~ % 86.09/12.15 | (unit = e4)) | ( ~ (v6 = e4) & op(e1, e1) = v6 & $i(v6))) & % 86.09/12.15 | ((v9 = e0 & ~ (unit = e4)) | ( ~ (v5 = e4) & op(e1, e0) = v5 & % 86.09/12.15 | $i(v5))) & ((v4 = e3 & ~ (unit = e4)) | ( ~ (v3 = e4) & % 86.09/12.15 | op(e0, e3) = v3 & $i(v3))) & ((v4 = e2 & ~ (unit = e4)) | ( % 86.09/12.15 | ~ (v2 = e4) & op(e0, e2) = v2 & $i(v2))) & ((v4 = e1 & ~ % 86.09/12.15 | (unit = e4)) | ( ~ (v1 = e4) & op(e0, e1) = v1 & $i(v1))) & % 86.09/12.15 | ((v4 = e0 & ~ (unit = e4)) | ( ~ (v0 = e4) & op(e0, e0) = v0 & % 86.09/12.15 | $i(v0)))) | (op(e4, e3) = v23 & op(e3, e3) = v18 & op(e2, % 86.09/12.15 | e3) = v13 & op(e1, e3) = v8 & op(e0, e3) = v3 & $i(v23) & % 86.09/12.15 | $i(v18) & $i(v13) & $i(v8) & $i(v3) & ( ~ (v23 = e3) | ~ (unit % 86.09/12.15 | = e3)) & ( ~ (v18 = e3) | ~ (unit = e3)) & ( ~ (v13 = e3) | % 86.09/12.15 | ~ (unit = e3)) & ( ~ (v8 = e3) | ~ (unit = e3)) & ( ~ (v3 = % 86.09/12.15 | e3) | ~ (unit = e3)) & ((v23 = e4 & ~ (unit = e3)) | ( ~ % 86.09/12.15 | (v24 = e3) & op(e4, e4) = v24 & $i(v24))) & ((v23 = e2 & ~ % 86.09/12.15 | (unit = e3)) | ( ~ (v22 = e3) & op(e4, e2) = v22 & $i(v22))) % 86.09/12.15 | & ((v23 = e1 & ~ (unit = e3)) | ( ~ (v21 = e3) & op(e4, e1) = % 86.09/12.15 | v21 & $i(v21))) & ((v23 = e0 & ~ (unit = e3)) | ( ~ (v20 = % 86.09/12.15 | e3) & op(e4, e0) = v20 & $i(v20))) & ((v18 = e4 & ~ (unit % 86.09/12.15 | = e3)) | ( ~ (v19 = e3) & op(e3, e4) = v19 & $i(v19))) & % 86.09/12.15 | ((v18 = e2 & ~ (unit = e3)) | ( ~ (v17 = e3) & op(e3, e2) = v17 % 86.09/12.15 | & $i(v17))) & ((v18 = e1 & ~ (unit = e3)) | ( ~ (v16 = e3) % 86.09/12.15 | & op(e3, e1) = v16 & $i(v16))) & ((v18 = e0 & ~ (unit = % 86.09/12.15 | e3)) | ( ~ (v15 = e3) & op(e3, e0) = v15 & $i(v15))) & % 86.09/12.15 | ((v13 = e4 & ~ (unit = e3)) | ( ~ (v14 = e3) & op(e2, e4) = v14 % 86.09/12.15 | & $i(v14))) & ((v13 = e2 & ~ (unit = e3)) | ( ~ (v12 = e3) % 86.09/12.15 | & op(e2, e2) = v12 & $i(v12))) & ((v13 = e1 & ~ (unit = % 86.09/12.15 | e3)) | ( ~ (v11 = e3) & op(e2, e1) = v11 & $i(v11))) & % 86.09/12.15 | ((v13 = e0 & ~ (unit = e3)) | ( ~ (v10 = e3) & op(e2, e0) = v10 % 86.09/12.15 | & $i(v10))) & ((v8 = e4 & ~ (unit = e3)) | ( ~ (v9 = e3) & % 86.09/12.15 | op(e1, e4) = v9 & $i(v9))) & ((v8 = e2 & ~ (unit = e3)) | ( % 86.09/12.15 | ~ (v7 = e3) & op(e1, e2) = v7 & $i(v7))) & ((v8 = e1 & ~ % 86.09/12.15 | (unit = e3)) | ( ~ (v6 = e3) & op(e1, e1) = v6 & $i(v6))) & % 86.09/12.15 | ((v8 = e0 & ~ (unit = e3)) | ( ~ (v5 = e3) & op(e1, e0) = v5 & % 86.09/12.15 | $i(v5))) & ((v3 = e4 & ~ (unit = e3)) | ( ~ (v4 = e3) & % 86.09/12.15 | op(e0, e4) = v4 & $i(v4))) & ((v3 = e2 & ~ (unit = e3)) | ( % 86.09/12.15 | ~ (v2 = e3) & op(e0, e2) = v2 & $i(v2))) & ((v3 = e1 & ~ % 86.09/12.15 | (unit = e3)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))) & % 86.09/12.15 | ((v3 = e0 & ~ (unit = e3)) | ( ~ (v0 = e3) & op(e0, e0) = v0 & % 86.09/12.15 | $i(v0)))) | (op(e4, e2) = v22 & op(e3, e2) = v17 & op(e2, % 86.09/12.15 | e2) = v12 & op(e1, e2) = v7 & op(e0, e2) = v2 & $i(v22) & % 86.09/12.15 | $i(v17) & $i(v12) & $i(v7) & $i(v2) & ( ~ (v22 = e2) | ~ (unit % 86.09/12.15 | = e2)) & ( ~ (v17 = e2) | ~ (unit = e2)) & ( ~ (v12 = e2) | % 86.09/12.15 | ~ (unit = e2)) & ( ~ (v7 = e2) | ~ (unit = e2)) & ( ~ (v2 = % 86.09/12.15 | e2) | ~ (unit = e2)) & ((v22 = e4 & ~ (unit = e2)) | ( ~ % 86.09/12.15 | (v24 = e2) & op(e4, e4) = v24 & $i(v24))) & ((v22 = e3 & ~ % 86.09/12.15 | (unit = e2)) | ( ~ (v23 = e2) & op(e4, e3) = v23 & $i(v23))) % 86.09/12.15 | & ((v22 = e1 & ~ (unit = e2)) | ( ~ (v21 = e2) & op(e4, e1) = % 86.09/12.15 | v21 & $i(v21))) & ((v22 = e0 & ~ (unit = e2)) | ( ~ (v20 = % 86.09/12.15 | e2) & op(e4, e0) = v20 & $i(v20))) & ((v17 = e4 & ~ (unit % 86.09/12.15 | = e2)) | ( ~ (v19 = e2) & op(e3, e4) = v19 & $i(v19))) & % 86.09/12.15 | ((v17 = e3 & ~ (unit = e2)) | ( ~ (v18 = e2) & op(e3, e3) = v18 % 86.09/12.15 | & $i(v18))) & ((v17 = e1 & ~ (unit = e2)) | ( ~ (v16 = e2) % 86.09/12.15 | & op(e3, e1) = v16 & $i(v16))) & ((v17 = e0 & ~ (unit = % 86.09/12.15 | e2)) | ( ~ (v15 = e2) & op(e3, e0) = v15 & $i(v15))) & % 86.09/12.15 | ((v12 = e4 & ~ (unit = e2)) | ( ~ (v14 = e2) & op(e2, e4) = v14 % 86.09/12.15 | & $i(v14))) & ((v12 = e3 & ~ (unit = e2)) | ( ~ (v13 = e2) % 86.09/12.15 | & op(e2, e3) = v13 & $i(v13))) & ((v12 = e1 & ~ (unit = % 86.09/12.15 | e2)) | ( ~ (v11 = e2) & op(e2, e1) = v11 & $i(v11))) & % 86.09/12.15 | ((v12 = e0 & ~ (unit = e2)) | ( ~ (v10 = e2) & op(e2, e0) = v10 % 86.09/12.15 | & $i(v10))) & ((v7 = e4 & ~ (unit = e2)) | ( ~ (v9 = e2) & % 86.09/12.15 | op(e1, e4) = v9 & $i(v9))) & ((v7 = e3 & ~ (unit = e2)) | ( % 86.09/12.15 | ~ (v8 = e2) & op(e1, e3) = v8 & $i(v8))) & ((v7 = e1 & ~ % 86.09/12.15 | (unit = e2)) | ( ~ (v6 = e2) & op(e1, e1) = v6 & $i(v6))) & % 86.09/12.15 | ((v7 = e0 & ~ (unit = e2)) | ( ~ (v5 = e2) & op(e1, e0) = v5 & % 86.09/12.15 | $i(v5))) & ((v2 = e4 & ~ (unit = e2)) | ( ~ (v4 = e2) & % 86.09/12.15 | op(e0, e4) = v4 & $i(v4))) & ((v2 = e3 & ~ (unit = e2)) | ( % 86.09/12.15 | ~ (v3 = e2) & op(e0, e3) = v3 & $i(v3))) & ((v2 = e1 & ~ % 86.09/12.15 | (unit = e2)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))) & % 86.09/12.15 | ((v2 = e0 & ~ (unit = e2)) | ( ~ (v0 = e2) & op(e0, e0) = v0 & % 86.09/12.15 | $i(v0)))) | (op(e4, e1) = v21 & op(e3, e1) = v16 & op(e2, % 86.09/12.15 | e1) = v11 & op(e1, e1) = v6 & op(e0, e1) = v1 & $i(v21) & % 86.09/12.15 | $i(v16) & $i(v11) & $i(v6) & $i(v1) & ( ~ (v21 = e1) | ~ (unit % 86.09/12.15 | = e1)) & ( ~ (v16 = e1) | ~ (unit = e1)) & ( ~ (v11 = e1) | % 86.09/12.15 | ~ (unit = e1)) & ( ~ (v6 = e1) | ~ (unit = e1)) & ( ~ (v1 = % 86.09/12.15 | e1) | ~ (unit = e1)) & ((v21 = e4 & ~ (unit = e1)) | ( ~ % 86.09/12.15 | (v24 = e1) & op(e4, e4) = v24 & $i(v24))) & ((v21 = e3 & ~ % 86.09/12.15 | (unit = e1)) | ( ~ (v23 = e1) & op(e4, e3) = v23 & $i(v23))) % 86.09/12.15 | & ((v21 = e2 & ~ (unit = e1)) | ( ~ (v22 = e1) & op(e4, e2) = % 86.09/12.15 | v22 & $i(v22))) & ((v21 = e0 & ~ (unit = e1)) | ( ~ (v20 = % 86.09/12.15 | e1) & op(e4, e0) = v20 & $i(v20))) & ((v16 = e4 & ~ (unit % 86.09/12.15 | = e1)) | ( ~ (v19 = e1) & op(e3, e4) = v19 & $i(v19))) & % 86.09/12.15 | ((v16 = e3 & ~ (unit = e1)) | ( ~ (v18 = e1) & op(e3, e3) = v18 % 86.09/12.15 | & $i(v18))) & ((v16 = e2 & ~ (unit = e1)) | ( ~ (v17 = e1) % 86.09/12.15 | & op(e3, e2) = v17 & $i(v17))) & ((v16 = e0 & ~ (unit = % 86.09/12.15 | e1)) | ( ~ (v15 = e1) & op(e3, e0) = v15 & $i(v15))) & % 86.09/12.15 | ((v11 = e4 & ~ (unit = e1)) | ( ~ (v14 = e1) & op(e2, e4) = v14 % 86.09/12.15 | & $i(v14))) & ((v11 = e3 & ~ (unit = e1)) | ( ~ (v13 = e1) % 86.09/12.15 | & op(e2, e3) = v13 & $i(v13))) & ((v11 = e2 & ~ (unit = % 86.09/12.15 | e1)) | ( ~ (v12 = e1) & op(e2, e2) = v12 & $i(v12))) & % 86.09/12.15 | ((v11 = e0 & ~ (unit = e1)) | ( ~ (v10 = e1) & op(e2, e0) = v10 % 86.09/12.15 | & $i(v10))) & ((v6 = e4 & ~ (unit = e1)) | ( ~ (v9 = e1) & % 86.09/12.15 | op(e1, e4) = v9 & $i(v9))) & ((v6 = e3 & ~ (unit = e1)) | ( % 86.09/12.15 | ~ (v8 = e1) & op(e1, e3) = v8 & $i(v8))) & ((v6 = e2 & ~ % 86.09/12.15 | (unit = e1)) | ( ~ (v7 = e1) & op(e1, e2) = v7 & $i(v7))) & % 86.09/12.15 | ((v6 = e0 & ~ (unit = e1)) | ( ~ (v5 = e1) & op(e1, e0) = v5 & % 86.09/12.15 | $i(v5))) & ((v1 = e4 & ~ (unit = e1)) | ( ~ (v4 = e1) & % 86.09/12.15 | op(e0, e4) = v4 & $i(v4))) & ((v1 = e3 & ~ (unit = e1)) | ( % 86.09/12.15 | ~ (v3 = e1) & op(e0, e3) = v3 & $i(v3))) & ((v1 = e2 & ~ % 86.09/12.15 | (unit = e1)) | ( ~ (v2 = e1) & op(e0, e2) = v2 & $i(v2))) & % 86.09/12.15 | ((v1 = e0 & ~ (unit = e1)) | ( ~ (v0 = e1) & op(e0, e0) = v0 & % 86.09/12.15 | $i(v0)))) | (op(e4, e0) = v20 & op(e3, e0) = v15 & op(e2, % 86.09/12.15 | e0) = v10 & op(e1, e0) = v5 & op(e0, e0) = v0 & $i(v20) & % 86.09/12.15 | $i(v15) & $i(v10) & $i(v5) & $i(v0) & ( ~ (v20 = e0) | ~ (unit % 86.09/12.15 | = e0)) & ( ~ (v15 = e0) | ~ (unit = e0)) & ( ~ (v10 = e0) | % 86.09/12.15 | ~ (unit = e0)) & ( ~ (v5 = e0) | ~ (unit = e0)) & ( ~ (v0 = % 86.09/12.15 | e0) | ~ (unit = e0)) & ((v20 = e4 & ~ (unit = e0)) | ( ~ % 86.09/12.15 | (v24 = e0) & op(e4, e4) = v24 & $i(v24))) & ((v20 = e3 & ~ % 86.09/12.15 | (unit = e0)) | ( ~ (v23 = e0) & op(e4, e3) = v23 & $i(v23))) % 86.09/12.15 | & ((v20 = e2 & ~ (unit = e0)) | ( ~ (v22 = e0) & op(e4, e2) = % 86.09/12.15 | v22 & $i(v22))) & ((v20 = e1 & ~ (unit = e0)) | ( ~ (v21 = % 86.09/12.15 | e0) & op(e4, e1) = v21 & $i(v21))) & ((v15 = e4 & ~ (unit % 86.09/12.15 | = e0)) | ( ~ (v19 = e0) & op(e3, e4) = v19 & $i(v19))) & % 86.09/12.15 | ((v15 = e3 & ~ (unit = e0)) | ( ~ (v18 = e0) & op(e3, e3) = v18 % 86.09/12.15 | & $i(v18))) & ((v15 = e2 & ~ (unit = e0)) | ( ~ (v17 = e0) % 86.09/12.15 | & op(e3, e2) = v17 & $i(v17))) & ((v15 = e1 & ~ (unit = % 86.09/12.15 | e0)) | ( ~ (v16 = e0) & op(e3, e1) = v16 & $i(v16))) & % 86.09/12.15 | ((v10 = e4 & ~ (unit = e0)) | ( ~ (v14 = e0) & op(e2, e4) = v14 % 86.09/12.15 | & $i(v14))) & ((v10 = e3 & ~ (unit = e0)) | ( ~ (v13 = e0) % 86.09/12.15 | & op(e2, e3) = v13 & $i(v13))) & ((v10 = e2 & ~ (unit = % 86.09/12.15 | e0)) | ( ~ (v12 = e0) & op(e2, e2) = v12 & $i(v12))) & % 86.09/12.15 | ((v10 = e1 & ~ (unit = e0)) | ( ~ (v11 = e0) & op(e2, e1) = v11 % 86.09/12.15 | & $i(v11))) & ((v5 = e4 & ~ (unit = e0)) | ( ~ (v9 = e0) & % 86.09/12.15 | op(e1, e4) = v9 & $i(v9))) & ((v5 = e3 & ~ (unit = e0)) | ( % 86.09/12.15 | ~ (v8 = e0) & op(e1, e3) = v8 & $i(v8))) & ((v5 = e2 & ~ % 86.09/12.15 | (unit = e0)) | ( ~ (v7 = e0) & op(e1, e2) = v7 & $i(v7))) & % 86.09/12.15 | ((v5 = e1 & ~ (unit = e0)) | ( ~ (v6 = e0) & op(e1, e1) = v6 & % 86.09/12.15 | $i(v6))) & ((v0 = e4 & ~ (unit = e0)) | ( ~ (v4 = e0) & % 86.09/12.15 | op(e0, e4) = v4 & $i(v4))) & ((v0 = e3 & ~ (unit = e0)) | ( % 86.09/12.15 | ~ (v3 = e0) & op(e0, e3) = v3 & $i(v3))) & ((v0 = e2 & ~ % 86.09/12.15 | (unit = e0)) | ( ~ (v2 = e0) & op(e0, e2) = v2 & $i(v2))) & % 86.09/12.15 | ((v0 = e1 & ~ (unit = e0)) | ( ~ (v1 = e0) & op(e0, e1) = v1 & % 86.09/12.15 | $i(v1)))))) % 86.09/12.15 | % 86.09/12.15 | DELTA: instantiating (12) with fresh symbols all_4_0, all_4_1, all_4_2, % 86.09/12.15 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 86.09/12.15 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 86.09/12.15 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 86.09/12.15 | all_4_24 gives: % 86.09/12.16 | (26) ~ (all_4_0 = all_4_1) & ~ (all_4_0 = all_4_2) & ~ (all_4_0 = % 86.09/12.16 | all_4_3) & ~ (all_4_0 = all_4_4) & ~ (all_4_0 = all_4_5) & ~ % 86.09/12.16 | (all_4_0 = all_4_10) & ~ (all_4_0 = all_4_15) & ~ (all_4_0 = % 86.09/12.16 | all_4_20) & ~ (all_4_1 = all_4_2) & ~ (all_4_1 = all_4_3) & ~ % 86.09/12.16 | (all_4_1 = all_4_4) & ~ (all_4_1 = all_4_6) & ~ (all_4_1 = all_4_11) % 86.09/12.16 | & ~ (all_4_1 = all_4_16) & ~ (all_4_1 = all_4_21) & ~ (all_4_2 = % 86.09/12.16 | all_4_3) & ~ (all_4_2 = all_4_4) & ~ (all_4_2 = all_4_7) & ~ % 86.09/12.16 | (all_4_2 = all_4_12) & ~ (all_4_2 = all_4_17) & ~ (all_4_2 = % 86.09/12.16 | all_4_22) & ~ (all_4_3 = all_4_4) & ~ (all_4_3 = all_4_8) & ~ % 86.09/12.16 | (all_4_3 = all_4_13) & ~ (all_4_3 = all_4_18) & ~ (all_4_3 = % 86.09/12.16 | all_4_23) & ~ (all_4_4 = all_4_9) & ~ (all_4_4 = all_4_14) & ~ % 86.09/12.16 | (all_4_4 = all_4_19) & ~ (all_4_4 = all_4_24) & ~ (all_4_5 = % 86.09/12.16 | all_4_6) & ~ (all_4_5 = all_4_7) & ~ (all_4_5 = all_4_8) & ~ % 86.09/12.16 | (all_4_5 = all_4_9) & ~ (all_4_5 = all_4_10) & ~ (all_4_5 = % 86.09/12.16 | all_4_15) & ~ (all_4_5 = all_4_20) & ~ (all_4_6 = all_4_7) & ~ % 86.09/12.16 | (all_4_6 = all_4_8) & ~ (all_4_6 = all_4_9) & ~ (all_4_6 = all_4_11) % 86.09/12.16 | & ~ (all_4_6 = all_4_16) & ~ (all_4_6 = all_4_21) & ~ (all_4_7 = % 86.09/12.16 | all_4_8) & ~ (all_4_7 = all_4_9) & ~ (all_4_7 = all_4_12) & ~ % 86.09/12.16 | (all_4_7 = all_4_17) & ~ (all_4_7 = all_4_22) & ~ (all_4_8 = % 86.09/12.16 | all_4_9) & ~ (all_4_8 = all_4_13) & ~ (all_4_8 = all_4_18) & ~ % 86.09/12.16 | (all_4_8 = all_4_23) & ~ (all_4_9 = all_4_14) & ~ (all_4_9 = % 86.09/12.16 | all_4_19) & ~ (all_4_9 = all_4_24) & ~ (all_4_10 = all_4_11) & ~ % 86.09/12.16 | (all_4_10 = all_4_12) & ~ (all_4_10 = all_4_13) & ~ (all_4_10 = % 86.09/12.16 | all_4_14) & ~ (all_4_10 = all_4_15) & ~ (all_4_10 = all_4_20) & ~ % 86.09/12.16 | (all_4_11 = all_4_12) & ~ (all_4_11 = all_4_13) & ~ (all_4_11 = % 86.09/12.16 | all_4_14) & ~ (all_4_11 = all_4_16) & ~ (all_4_11 = all_4_21) & ~ % 86.09/12.16 | (all_4_12 = all_4_13) & ~ (all_4_12 = all_4_14) & ~ (all_4_12 = % 86.09/12.16 | all_4_17) & ~ (all_4_12 = all_4_22) & ~ (all_4_13 = all_4_14) & ~ % 86.09/12.16 | (all_4_13 = all_4_18) & ~ (all_4_13 = all_4_23) & ~ (all_4_14 = % 86.09/12.16 | all_4_19) & ~ (all_4_14 = all_4_24) & ~ (all_4_15 = all_4_16) & ~ % 86.09/12.16 | (all_4_15 = all_4_17) & ~ (all_4_15 = all_4_18) & ~ (all_4_15 = % 86.09/12.16 | all_4_19) & ~ (all_4_15 = all_4_20) & ~ (all_4_16 = all_4_17) & ~ % 86.09/12.16 | (all_4_16 = all_4_18) & ~ (all_4_16 = all_4_19) & ~ (all_4_16 = % 86.09/12.16 | all_4_21) & ~ (all_4_17 = all_4_18) & ~ (all_4_17 = all_4_19) & ~ % 86.09/12.16 | (all_4_17 = all_4_22) & ~ (all_4_18 = all_4_19) & ~ (all_4_18 = % 86.09/12.16 | all_4_23) & ~ (all_4_19 = all_4_24) & ~ (all_4_20 = all_4_21) & ~ % 86.09/12.16 | (all_4_20 = all_4_22) & ~ (all_4_20 = all_4_23) & ~ (all_4_20 = % 86.09/12.16 | all_4_24) & ~ (all_4_21 = all_4_22) & ~ (all_4_21 = all_4_23) & ~ % 86.09/12.16 | (all_4_21 = all_4_24) & ~ (all_4_22 = all_4_23) & ~ (all_4_22 = % 86.09/12.16 | all_4_24) & ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4, % 86.09/12.16 | e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 & % 86.09/12.16 | op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 & % 86.09/12.16 | op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21 % 86.09/12.16 | & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12 % 86.09/12.16 | & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3 % 86.09/12.16 | & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18 % 86.09/12.16 | & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9 % 86.09/12.16 | & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) = % 86.09/12.16 | all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) & % 86.09/12.16 | $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) & % 86.09/12.16 | $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) & % 86.09/12.16 | $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) & % 86.09/12.16 | $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) & % 86.09/12.16 | $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24) % 86.09/12.16 | % 86.09/12.16 | ALPHA: (26) implies: % 86.09/12.16 | (27) ~ (all_4_23 = all_4_24) % 86.09/12.16 | (28) ~ (all_4_21 = all_4_24) % 86.09/12.16 | (29) ~ (all_4_19 = all_4_24) % 86.09/12.16 | (30) ~ (all_4_18 = all_4_23) % 86.09/12.16 | (31) ~ (all_4_18 = all_4_19) % 86.09/12.16 | (32) ~ (all_4_17 = all_4_19) % 86.09/12.16 | (33) ~ (all_4_17 = all_4_18) % 86.09/12.16 | (34) ~ (all_4_16 = all_4_21) % 86.09/12.16 | (35) ~ (all_4_16 = all_4_19) % 86.09/12.16 | (36) ~ (all_4_16 = all_4_18) % 86.09/12.16 | (37) ~ (all_4_16 = all_4_17) % 86.09/12.16 | (38) ~ (all_4_15 = all_4_19) % 86.09/12.16 | (39) ~ (all_4_15 = all_4_18) % 86.09/12.16 | (40) ~ (all_4_15 = all_4_17) % 86.09/12.16 | (41) ~ (all_4_14 = all_4_24) % 86.09/12.16 | (42) ~ (all_4_14 = all_4_19) % 86.09/12.16 | (43) ~ (all_4_13 = all_4_18) % 86.09/12.16 | (44) ~ (all_4_13 = all_4_14) % 86.09/12.16 | (45) ~ (all_4_12 = all_4_22) % 86.09/12.16 | (46) ~ (all_4_12 = all_4_17) % 86.09/12.16 | (47) ~ (all_4_12 = all_4_14) % 86.09/12.16 | (48) ~ (all_4_12 = all_4_13) % 86.09/12.16 | (49) ~ (all_4_11 = all_4_21) % 86.09/12.16 | (50) ~ (all_4_11 = all_4_16) % 86.09/12.16 | (51) ~ (all_4_11 = all_4_14) % 86.09/12.16 | (52) ~ (all_4_11 = all_4_13) % 86.09/12.16 | (53) ~ (all_4_11 = all_4_12) % 86.09/12.16 | (54) ~ (all_4_10 = all_4_20) % 86.09/12.16 | (55) ~ (all_4_10 = all_4_15) % 86.09/12.16 | (56) ~ (all_4_10 = all_4_14) % 86.09/12.16 | (57) ~ (all_4_10 = all_4_13) % 86.09/12.16 | (58) ~ (all_4_10 = all_4_12) % 86.09/12.16 | (59) ~ (all_4_10 = all_4_11) % 86.09/12.16 | (60) ~ (all_4_9 = all_4_24) % 86.09/12.16 | (61) ~ (all_4_9 = all_4_19) % 86.09/12.16 | (62) ~ (all_4_9 = all_4_14) % 86.09/12.16 | (63) ~ (all_4_8 = all_4_23) % 86.09/12.16 | (64) ~ (all_4_8 = all_4_18) % 86.09/12.16 | (65) ~ (all_4_8 = all_4_13) % 86.09/12.16 | (66) ~ (all_4_8 = all_4_9) % 86.09/12.16 | (67) ~ (all_4_7 = all_4_17) % 86.09/12.16 | (68) ~ (all_4_7 = all_4_12) % 86.09/12.16 | (69) ~ (all_4_7 = all_4_9) % 86.09/12.16 | (70) ~ (all_4_7 = all_4_8) % 86.09/12.16 | (71) ~ (all_4_6 = all_4_21) % 86.09/12.16 | (72) ~ (all_4_6 = all_4_16) % 86.09/12.16 | (73) ~ (all_4_6 = all_4_11) % 86.09/12.16 | (74) ~ (all_4_6 = all_4_7) % 86.09/12.16 | (75) ~ (all_4_5 = all_4_15) % 86.09/12.17 | (76) ~ (all_4_5 = all_4_10) % 86.09/12.17 | (77) ~ (all_4_5 = all_4_9) % 86.09/12.17 | (78) ~ (all_4_5 = all_4_8) % 86.09/12.17 | (79) ~ (all_4_5 = all_4_7) % 86.09/12.17 | (80) ~ (all_4_5 = all_4_6) % 86.09/12.17 | (81) ~ (all_4_4 = all_4_24) % 86.09/12.17 | (82) ~ (all_4_4 = all_4_14) % 86.09/12.17 | (83) ~ (all_4_4 = all_4_9) % 86.09/12.17 | (84) ~ (all_4_3 = all_4_13) % 86.09/12.17 | (85) ~ (all_4_3 = all_4_4) % 86.09/12.17 | (86) ~ (all_4_2 = all_4_4) % 86.09/12.17 | (87) ~ (all_4_1 = all_4_21) % 86.09/12.17 | (88) ~ (all_4_1 = all_4_16) % 86.09/12.17 | (89) ~ (all_4_1 = all_4_6) % 86.09/12.17 | (90) ~ (all_4_1 = all_4_4) % 86.09/12.17 | (91) ~ (all_4_0 = all_4_4) % 86.09/12.17 | (92) op(e0, e0) = all_4_24 % 86.09/12.17 | (93) op(e0, e1) = all_4_19 % 86.09/12.17 | (94) op(e0, e2) = all_4_14 % 86.09/12.17 | (95) op(e0, e3) = all_4_9 % 86.09/12.17 | (96) op(e0, e4) = all_4_4 % 86.09/12.17 | (97) op(e1, e0) = all_4_23 % 86.09/12.17 | (98) op(e1, e1) = all_4_18 % 86.09/12.17 | (99) op(e1, e2) = all_4_13 % 86.09/12.17 | (100) op(e1, e3) = all_4_8 % 86.09/12.17 | (101) op(e1, e4) = all_4_3 % 86.09/12.17 | (102) op(e2, e0) = all_4_22 % 86.09/12.17 | (103) op(e2, e1) = all_4_17 % 86.09/12.17 | (104) op(e2, e2) = all_4_12 % 86.09/12.17 | (105) op(e2, e3) = all_4_7 % 86.09/12.17 | (106) op(e2, e4) = all_4_2 % 86.09/12.17 | (107) op(e3, e0) = all_4_21 % 86.09/12.17 | (108) op(e3, e1) = all_4_16 % 86.09/12.17 | (109) op(e3, e2) = all_4_11 % 86.09/12.17 | (110) op(e3, e3) = all_4_6 % 86.09/12.17 | (111) op(e3, e4) = all_4_1 % 86.09/12.17 | (112) op(e4, e0) = all_4_20 % 86.09/12.17 | (113) op(e4, e1) = all_4_15 % 86.09/12.17 | (114) op(e4, e2) = all_4_10 % 86.09/12.17 | (115) op(e4, e3) = all_4_5 % 86.09/12.17 | (116) op(e4, e4) = all_4_0 % 86.09/12.17 | % 86.09/12.17 | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2, % 86.09/12.17 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9, % 86.09/12.17 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16, % 86.09/12.17 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23, % 86.09/12.17 | all_6_24 gives: % 86.09/12.17 | (117) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 & % 86.09/12.17 | op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 & % 86.09/12.17 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 & % 86.09/12.17 | op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11 % 86.09/12.17 | & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) = % 86.09/12.17 | all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2) % 86.09/12.17 | = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0, % 86.09/12.17 | e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 & % 86.09/12.17 | op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) & % 86.09/12.17 | $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) & % 86.09/12.17 | $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10) % 86.09/12.17 | & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) & % 86.09/12.17 | $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) & % 86.09/12.17 | $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) & % 86.09/12.17 | $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0 % 86.09/12.17 | = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3 % 86.09/12.17 | | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 | % 86.09/12.17 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) & % 86.09/12.17 | (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 % 86.09/12.17 | = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 % 86.09/12.17 | | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 86.09/12.17 | all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 | % 86.09/12.17 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 | % 86.09/12.17 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) & % 86.09/12.17 | (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 % 86.09/12.17 | = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 % 86.09/12.17 | | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | % 86.09/12.17 | all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 | % 86.09/12.17 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 | % 86.09/12.17 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) & % 86.09/12.17 | (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 86.09/12.17 | all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | % 86.09/12.17 | all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 | % 86.09/12.17 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 | % 86.09/12.17 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) & % 86.09/12.17 | (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 86.09/12.17 | all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | % 86.09/12.17 | all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 | % 86.09/12.17 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 | % 86.09/12.17 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) & % 86.09/12.17 | (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | % 86.09/12.17 | all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 86.09/12.17 | all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 | % 86.09/12.17 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 | % 86.09/12.17 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0) % 86.09/12.17 | % 86.09/12.17 | ALPHA: (117) implies: % 86.09/12.17 | (118) op(e0, e0) = all_6_24 % 86.09/12.17 | (119) op(e0, e1) = all_6_23 % 86.09/12.17 | (120) op(e0, e2) = all_6_22 % 86.09/12.17 | (121) op(e0, e3) = all_6_21 % 86.09/12.17 | (122) op(e0, e4) = all_6_20 % 86.09/12.17 | (123) op(e1, e0) = all_6_19 % 86.09/12.17 | (124) op(e1, e1) = all_6_18 % 86.09/12.17 | (125) op(e1, e2) = all_6_17 % 86.09/12.17 | (126) op(e1, e3) = all_6_16 % 86.09/12.17 | (127) op(e2, e0) = all_6_14 % 86.09/12.17 | (128) op(e2, e1) = all_6_13 % 86.09/12.17 | (129) op(e2, e2) = all_6_12 % 86.09/12.17 | (130) op(e2, e3) = all_6_11 % 86.09/12.18 | (131) op(e2, e4) = all_6_10 % 86.09/12.18 | (132) op(e3, e0) = all_6_9 % 86.09/12.18 | (133) op(e3, e1) = all_6_8 % 86.09/12.18 | (134) op(e3, e2) = all_6_7 % 86.09/12.18 | (135) op(e3, e3) = all_6_6 % 86.09/12.18 | (136) op(e3, e4) = all_6_5 % 86.09/12.18 | (137) op(e4, e0) = all_6_4 % 86.09/12.18 | (138) op(e4, e1) = all_6_3 % 86.09/12.18 | (139) op(e4, e2) = all_6_2 % 86.09/12.18 | (140) op(e4, e3) = all_6_1 % 86.09/12.18 | (141) op(e4, e4) = all_6_0 % 86.09/12.18 | (142) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 86.09/12.18 | all_6_22 = e0 % 86.09/12.18 | (143) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 86.09/12.18 | all_6_17 = e0 % 86.09/12.18 | (144) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | % 86.09/12.18 | all_6_16 = e0 % 86.09/12.18 | (145) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 86.09/12.18 | all_6_13 = e0 % 86.09/12.18 | (146) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = % 86.09/12.18 | e0 % 86.09/12.18 | (147) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = % 86.09/12.18 | e0 % 86.09/12.18 | (148) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = % 86.09/12.18 | e0 % 86.09/12.18 | (149) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = % 86.09/12.18 | e0 % 86.09/12.18 | % 86.09/12.18 | DELTA: instantiating (11) with fresh symbols all_8_0, all_8_1, all_8_2, % 86.09/12.18 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9, % 86.09/12.18 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16, % 86.09/12.18 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23, % 86.09/12.18 | all_8_24 gives: % 86.09/12.19 | (150) ((all_8_0 = e4 & op(e4, e4) = e4) | (all_8_1 = e4 & op(e4, e3) = e4) % 86.09/12.19 | | (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_9 = e4 & op(e4, e1) = % 86.09/12.19 | e4) | (all_8_16 = e4 & op(e4, e0) = e4)) & ((all_8_0 = e4 & % 86.09/12.19 | op(e4, e4) = e4) | (all_8_2 = e4 & op(e3, e4) = e4) | (all_8_6 = % 86.09/12.19 | e4 & op(e2, e4) = e4) | (all_8_12 = e4 & op(e1, e4) = e4) | % 86.09/12.19 | (all_8_20 = e4 & op(e0, e4) = e4)) & ((all_8_0 = e3 & op(e4, e4) = % 86.09/12.19 | e3) | (all_8_1 = e3 & op(e4, e3) = e3) | (all_8_4 = e3 & op(e4, % 86.09/12.19 | e2) = e3) | (all_8_9 = e3 & op(e4, e1) = e3) | (all_8_16 = e3 & % 86.09/12.19 | op(e4, e0) = e3)) & ((all_8_0 = e3 & op(e4, e4) = e3) | (all_8_2 % 86.09/12.19 | = e3 & op(e3, e4) = e3) | (all_8_6 = e3 & op(e2, e4) = e3) | % 86.09/12.19 | (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_20 = e3 & op(e0, e4) = % 86.09/12.19 | e3)) & ((all_8_0 = e2 & op(e4, e4) = e2) | (all_8_1 = e2 & op(e4, % 86.09/12.19 | e3) = e2) | (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_9 = e2 & % 86.09/12.19 | op(e4, e1) = e2) | (all_8_16 = e2 & op(e4, e0) = e2)) & ((all_8_0 % 86.09/12.19 | = e2 & op(e4, e4) = e2) | (all_8_2 = e2 & op(e3, e4) = e2) | % 86.09/12.19 | (all_8_6 = e2 & op(e2, e4) = e2) | (all_8_12 = e2 & op(e1, e4) = % 86.09/12.19 | e2) | (all_8_20 = e2 & op(e0, e4) = e2)) & ((all_8_0 = e1 & % 86.09/12.19 | op(e4, e4) = e1) | (all_8_1 = e1 & op(e4, e3) = e1) | (all_8_4 = % 86.09/12.19 | e1 & op(e4, e2) = e1) | (all_8_9 = e1 & op(e4, e1) = e1) | % 86.09/12.19 | (all_8_16 = e1 & op(e4, e0) = e1)) & ((all_8_0 = e1 & op(e4, e4) = % 86.09/12.19 | e1) | (all_8_2 = e1 & op(e3, e4) = e1) | (all_8_6 = e1 & op(e2, % 86.09/12.19 | e4) = e1) | (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_20 = e1 % 86.09/12.19 | & op(e0, e4) = e1)) & ((all_8_0 = e0 & op(e4, e4) = e0) | % 86.09/12.19 | (all_8_1 = e0 & op(e4, e3) = e0) | (all_8_4 = e0 & op(e4, e2) = e0) % 86.09/12.19 | | (all_8_9 = e0 & op(e4, e1) = e0) | (all_8_16 = e0 & op(e4, e0) = % 86.09/12.19 | e0)) & ((all_8_0 = e0 & op(e4, e4) = e0) | (all_8_2 = e0 & op(e3, % 86.09/12.19 | e4) = e0) | (all_8_6 = e0 & op(e2, e4) = e0) | (all_8_12 = e0 & % 86.09/12.19 | op(e1, e4) = e0) | (all_8_20 = e0 & op(e0, e4) = e0)) & ((all_8_1 % 86.09/12.19 | = e4 & op(e4, e3) = e4) | (all_8_3 = e4 & op(e3, e3) = e4) | % 86.09/12.19 | (all_8_7 = e4 & op(e2, e3) = e4) | (all_8_13 = e4 & op(e1, e3) = % 86.09/12.19 | e4) | (all_8_21 = e4 & op(e0, e3) = e4)) & ((all_8_1 = e3 & % 86.09/12.19 | op(e4, e3) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | (all_8_7 = % 86.09/12.19 | e3 & op(e2, e3) = e3) | (all_8_13 = e3 & op(e1, e3) = e3) | % 86.09/12.19 | (all_8_21 = e3 & op(e0, e3) = e3)) & ((all_8_1 = e2 & op(e4, e3) = % 86.09/12.19 | e2) | (all_8_3 = e2 & op(e3, e3) = e2) | (all_8_7 = e2 & op(e2, % 86.09/12.19 | e3) = e2) | (all_8_13 = e2 & op(e1, e3) = e2) | (all_8_21 = e2 % 86.09/12.19 | & op(e0, e3) = e2)) & ((all_8_1 = e1 & op(e4, e3) = e1) | % 86.09/12.19 | (all_8_3 = e1 & op(e3, e3) = e1) | (all_8_7 = e1 & op(e2, e3) = e1) % 86.09/12.19 | | (all_8_13 = e1 & op(e1, e3) = e1) | (all_8_21 = e1 & op(e0, e3) = % 86.09/12.19 | e1)) & ((all_8_1 = e0 & op(e4, e3) = e0) | (all_8_3 = e0 & op(e3, % 86.09/12.19 | e3) = e0) | (all_8_7 = e0 & op(e2, e3) = e0) | (all_8_13 = e0 & % 86.09/12.19 | op(e1, e3) = e0) | (all_8_21 = e0 & op(e0, e3) = e0)) & ((all_8_2 % 86.09/12.19 | = e4 & op(e3, e4) = e4) | (all_8_3 = e4 & op(e3, e3) = e4) | % 86.09/12.19 | (all_8_5 = e4 & op(e3, e2) = e4) | (all_8_10 = e4 & op(e3, e1) = % 86.09/12.19 | e4) | (all_8_17 = e4 & op(e3, e0) = e4)) & ((all_8_2 = e3 & % 86.09/12.19 | op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | (all_8_5 = % 86.09/12.19 | e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 86.09/12.19 | (all_8_17 = e3 & op(e3, e0) = e3)) & ((all_8_2 = e2 & op(e3, e4) = % 86.09/12.19 | e2) | (all_8_3 = e2 & op(e3, e3) = e2) | (all_8_5 = e2 & op(e3, % 86.09/12.19 | e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 % 86.09/12.19 | & op(e3, e0) = e2)) & ((all_8_2 = e1 & op(e3, e4) = e1) | % 86.09/12.19 | (all_8_3 = e1 & op(e3, e3) = e1) | (all_8_5 = e1 & op(e3, e2) = e1) % 86.09/12.19 | | (all_8_10 = e1 & op(e3, e1) = e1) | (all_8_17 = e1 & op(e3, e0) = % 86.09/12.19 | e1)) & ((all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, % 86.09/12.19 | e3) = e0) | (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & % 86.09/12.19 | op(e3, e1) = e0) | (all_8_17 = e0 & op(e3, e0) = e0)) & ((all_8_4 % 86.09/12.19 | = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) | % 86.09/12.19 | (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = % 86.09/12.19 | e4) | (all_8_22 = e4 & op(e0, e2) = e4)) & ((all_8_4 = e3 & % 86.09/12.19 | op(e4, e2) = e3) | (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_8 = % 86.09/12.19 | e3 & op(e2, e2) = e3) | (all_8_14 = e3 & op(e1, e2) = e3) | % 86.09/12.19 | (all_8_22 = e3 & op(e0, e2) = e3)) & ((all_8_4 = e2 & op(e4, e2) = % 86.09/12.19 | e2) | (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_8 = e2 & op(e2, % 86.09/12.19 | e2) = e2) | (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.09/12.19 | & op(e0, e2) = e2)) & ((all_8_4 = e1 & op(e4, e2) = e1) | % 86.09/12.19 | (all_8_5 = e1 & op(e3, e2) = e1) | (all_8_8 = e1 & op(e2, e2) = e1) % 86.09/12.19 | | (all_8_14 = e1 & op(e1, e2) = e1) | (all_8_22 = e1 & op(e0, e2) = % 86.09/12.19 | e1)) & ((all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & op(e3, % 86.09/12.19 | e2) = e0) | (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 & % 86.09/12.19 | op(e1, e2) = e0) | (all_8_22 = e0 & op(e0, e2) = e0)) & ((all_8_6 % 86.09/12.19 | = e4 & op(e2, e4) = e4) | (all_8_7 = e4 & op(e2, e3) = e4) | % 86.09/12.19 | (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_11 = e4 & op(e2, e1) = % 86.09/12.19 | e4) | (all_8_18 = e4 & op(e2, e0) = e4)) & ((all_8_6 = e3 & % 86.09/12.19 | op(e2, e4) = e3) | (all_8_7 = e3 & op(e2, e3) = e3) | (all_8_8 = % 86.09/12.19 | e3 & op(e2, e2) = e3) | (all_8_11 = e3 & op(e2, e1) = e3) | % 86.09/12.19 | (all_8_18 = e3 & op(e2, e0) = e3)) & ((all_8_6 = e2 & op(e2, e4) = % 86.09/12.19 | e2) | (all_8_7 = e2 & op(e2, e3) = e2) | (all_8_8 = e2 & op(e2, % 86.09/12.19 | e2) = e2) | (all_8_11 = e2 & op(e2, e1) = e2) | (all_8_18 = e2 % 86.09/12.19 | & op(e2, e0) = e2)) & ((all_8_6 = e1 & op(e2, e4) = e1) | % 86.09/12.19 | (all_8_7 = e1 & op(e2, e3) = e1) | (all_8_8 = e1 & op(e2, e2) = e1) % 86.09/12.19 | | (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_18 = e1 & op(e2, e0) = % 86.09/12.19 | e1)) & ((all_8_6 = e0 & op(e2, e4) = e0) | (all_8_7 = e0 & op(e2, % 86.09/12.19 | e3) = e0) | (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_11 = e0 & % 86.09/12.19 | op(e2, e1) = e0) | (all_8_18 = e0 & op(e2, e0) = e0)) & ((all_8_9 % 86.09/12.19 | = e4 & op(e4, e1) = e4) | (all_8_10 = e4 & op(e3, e1) = e4) | % 86.09/12.19 | (all_8_11 = e4 & op(e2, e1) = e4) | (all_8_15 = e4 & op(e1, e1) = % 86.09/12.19 | e4) | (all_8_23 = e4 & op(e0, e1) = e4)) & ((all_8_9 = e3 & % 86.09/12.19 | op(e4, e1) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_11 % 86.09/12.19 | = e3 & op(e2, e1) = e3) | (all_8_15 = e3 & op(e1, e1) = e3) | % 86.09/12.19 | (all_8_23 = e3 & op(e0, e1) = e3)) & ((all_8_9 = e2 & op(e4, e1) = % 86.09/12.19 | e2) | (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_11 = e2 & op(e2, % 86.09/12.19 | e1) = e2) | (all_8_15 = e2 & op(e1, e1) = e2) | (all_8_23 = e2 % 86.09/12.19 | & op(e0, e1) = e2)) & ((all_8_9 = e1 & op(e4, e1) = e1) | % 86.09/12.19 | (all_8_10 = e1 & op(e3, e1) = e1) | (all_8_11 = e1 & op(e2, e1) = % 86.09/12.19 | e1) | (all_8_15 = e1 & op(e1, e1) = e1) | (all_8_23 = e1 & op(e0, % 86.09/12.19 | e1) = e1)) & ((all_8_9 = e0 & op(e4, e1) = e0) | (all_8_10 = e0 % 86.09/12.19 | & op(e3, e1) = e0) | (all_8_11 = e0 & op(e2, e1) = e0) | % 86.09/12.19 | (all_8_15 = e0 & op(e1, e1) = e0) | (all_8_23 = e0 & op(e0, e1) = % 86.09/12.19 | e0)) & ((all_8_12 = e4 & op(e1, e4) = e4) | (all_8_13 = e4 & % 86.09/12.19 | op(e1, e3) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_15 % 86.09/12.19 | = e4 & op(e1, e1) = e4) | (all_8_19 = e4 & op(e1, e0) = e4)) & % 86.09/12.19 | ((all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 & op(e1, e3) = % 86.09/12.19 | e3) | (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 & op(e1, % 86.09/12.19 | e1) = e3) | (all_8_19 = e3 & op(e1, e0) = e3)) & ((all_8_12 = % 86.09/12.19 | e2 & op(e1, e4) = e2) | (all_8_13 = e2 & op(e1, e3) = e2) | % 86.09/12.19 | (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_15 = e2 & op(e1, e1) = % 86.09/12.19 | e2) | (all_8_19 = e2 & op(e1, e0) = e2)) & ((all_8_12 = e1 & % 86.09/12.19 | op(e1, e4) = e1) | (all_8_13 = e1 & op(e1, e3) = e1) | (all_8_14 % 86.09/12.19 | = e1 & op(e1, e2) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 86.09/12.19 | (all_8_19 = e1 & op(e1, e0) = e1)) & ((all_8_12 = e0 & op(e1, e4) = % 86.09/12.19 | e0) | (all_8_13 = e0 & op(e1, e3) = e0) | (all_8_14 = e0 & op(e1, % 86.09/12.19 | e2) = e0) | (all_8_15 = e0 & op(e1, e1) = e0) | (all_8_19 = e0 % 86.09/12.19 | & op(e1, e0) = e0)) & ((all_8_16 = e4 & op(e4, e0) = e4) | % 86.09/12.19 | (all_8_17 = e4 & op(e3, e0) = e4) | (all_8_18 = e4 & op(e2, e0) = % 86.09/12.19 | e4) | (all_8_19 = e4 & op(e1, e0) = e4) | (all_8_24 = e4 & op(e0, % 86.09/12.19 | e0) = e4)) & ((all_8_16 = e3 & op(e4, e0) = e3) | (all_8_17 = % 86.09/12.19 | e3 & op(e3, e0) = e3) | (all_8_18 = e3 & op(e2, e0) = e3) | % 86.09/12.19 | (all_8_19 = e3 & op(e1, e0) = e3) | (all_8_24 = e3 & op(e0, e0) = % 86.09/12.19 | e3)) & ((all_8_16 = e2 & op(e4, e0) = e2) | (all_8_17 = e2 & % 86.09/12.19 | op(e3, e0) = e2) | (all_8_18 = e2 & op(e2, e0) = e2) | (all_8_19 % 86.09/12.19 | = e2 & op(e1, e0) = e2) | (all_8_24 = e2 & op(e0, e0) = e2)) & % 86.09/12.19 | ((all_8_16 = e1 & op(e4, e0) = e1) | (all_8_17 = e1 & op(e3, e0) = % 86.09/12.19 | e1) | (all_8_18 = e1 & op(e2, e0) = e1) | (all_8_19 = e1 & op(e1, % 86.09/12.19 | e0) = e1) | (all_8_24 = e1 & op(e0, e0) = e1)) & ((all_8_20 = % 86.09/12.19 | e4 & op(e0, e4) = e4) | (all_8_21 = e4 & op(e0, e3) = e4) | % 86.09/12.19 | (all_8_22 = e4 & op(e0, e2) = e4) | (all_8_23 = e4 & op(e0, e1) = % 86.09/12.19 | e4) | (all_8_24 = e4 & op(e0, e0) = e4)) & ((all_8_20 = e3 & % 86.09/12.19 | op(e0, e4) = e3) | (all_8_21 = e3 & op(e0, e3) = e3) | (all_8_22 % 86.09/12.19 | = e3 & op(e0, e2) = e3) | (all_8_23 = e3 & op(e0, e1) = e3) | % 86.09/12.19 | (all_8_24 = e3 & op(e0, e0) = e3)) & ((all_8_20 = e2 & op(e0, e4) = % 86.09/12.19 | e2) | (all_8_21 = e2 & op(e0, e3) = e2) | (all_8_22 = e2 & op(e0, % 86.09/12.19 | e2) = e2) | (all_8_23 = e2 & op(e0, e1) = e2) | (all_8_24 = e2 % 86.09/12.19 | & op(e0, e0) = e2)) & ((all_8_20 = e1 & op(e0, e4) = e1) | % 86.09/12.19 | (all_8_21 = e1 & op(e0, e3) = e1) | (all_8_22 = e1 & op(e0, e2) = % 86.09/12.19 | e1) | (all_8_23 = e1 & op(e0, e1) = e1) | (all_8_24 = e1 & op(e0, % 86.09/12.19 | e0) = e1)) & ((all_8_24 = e0 & op(e0, e0) = e0) | (((all_8_16 = % 86.09/12.19 | e0 & op(e4, e0) = e0) | (all_8_17 = e0 & op(e3, e0) = e0) | % 86.09/12.19 | (all_8_18 = e0 & op(e2, e0) = e0) | (all_8_19 = e0 & op(e1, e0) % 86.09/12.19 | = e0)) & ((all_8_20 = e0 & op(e0, e4) = e0) | (all_8_21 = e0 % 86.09/12.19 | & op(e0, e3) = e0) | (all_8_22 = e0 & op(e0, e2) = e0) | % 86.09/12.19 | (all_8_23 = e0 & op(e0, e1) = e0)))) % 86.09/12.19 | % 86.09/12.19 | ALPHA: (150) implies: % 86.09/12.19 | (151) (all_8_24 = e0 & op(e0, e0) = e0) | (((all_8_16 = e0 & op(e4, e0) = % 86.09/12.19 | e0) | (all_8_17 = e0 & op(e3, e0) = e0) | (all_8_18 = e0 & % 86.09/12.19 | op(e2, e0) = e0) | (all_8_19 = e0 & op(e1, e0) = e0)) & % 86.09/12.19 | ((all_8_20 = e0 & op(e0, e4) = e0) | (all_8_21 = e0 & op(e0, e3) = % 86.09/12.19 | e0) | (all_8_22 = e0 & op(e0, e2) = e0) | (all_8_23 = e0 & % 86.09/12.19 | op(e0, e1) = e0))) % 86.09/12.19 | (152) (all_8_20 = e3 & op(e0, e4) = e3) | (all_8_21 = e3 & op(e0, e3) = e3) % 86.09/12.19 | | (all_8_22 = e3 & op(e0, e2) = e3) | (all_8_23 = e3 & op(e0, e1) = % 86.09/12.19 | e3) | (all_8_24 = e3 & op(e0, e0) = e3) % 86.09/12.19 | (153) (all_8_16 = e1 & op(e4, e0) = e1) | (all_8_17 = e1 & op(e3, e0) = e1) % 86.09/12.19 | | (all_8_18 = e1 & op(e2, e0) = e1) | (all_8_19 = e1 & op(e1, e0) = % 86.09/12.19 | e1) | (all_8_24 = e1 & op(e0, e0) = e1) % 86.09/12.19 | (154) (all_8_16 = e2 & op(e4, e0) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) % 86.09/12.19 | | (all_8_18 = e2 & op(e2, e0) = e2) | (all_8_19 = e2 & op(e1, e0) = % 86.09/12.19 | e2) | (all_8_24 = e2 & op(e0, e0) = e2) % 86.09/12.19 | (155) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_13 = e1 & op(e1, e3) = e1) % 86.09/12.19 | | (all_8_14 = e1 & op(e1, e2) = e1) | (all_8_15 = e1 & op(e1, e1) = % 86.09/12.19 | e1) | (all_8_19 = e1 & op(e1, e0) = e1) % 86.09/12.19 | (156) (all_8_12 = e2 & op(e1, e4) = e2) | (all_8_13 = e2 & op(e1, e3) = e2) % 86.09/12.19 | | (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_15 = e2 & op(e1, e1) = % 86.09/12.19 | e2) | (all_8_19 = e2 & op(e1, e0) = e2) % 86.09/12.19 | (157) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 & op(e1, e3) = e3) % 86.09/12.19 | | (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 & op(e1, e1) = % 86.09/12.19 | e3) | (all_8_19 = e3 & op(e1, e0) = e3) % 86.09/12.19 | (158) (all_8_12 = e4 & op(e1, e4) = e4) | (all_8_13 = e4 & op(e1, e3) = e4) % 86.09/12.19 | | (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_15 = e4 & op(e1, e1) = % 86.09/12.19 | e4) | (all_8_19 = e4 & op(e1, e0) = e4) % 86.09/12.19 | (159) (all_8_9 = e0 & op(e4, e1) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) % 86.09/12.19 | | (all_8_11 = e0 & op(e2, e1) = e0) | (all_8_15 = e0 & op(e1, e1) = % 86.09/12.19 | e0) | (all_8_23 = e0 & op(e0, e1) = e0) % 86.09/12.19 | (160) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) % 86.09/12.19 | | (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_15 = e1 & op(e1, e1) = % 86.09/12.19 | e1) | (all_8_23 = e1 & op(e0, e1) = e1) % 86.09/12.20 | (161) (all_8_9 = e3 & op(e4, e1) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) % 86.09/12.20 | | (all_8_11 = e3 & op(e2, e1) = e3) | (all_8_15 = e3 & op(e1, e1) = % 86.09/12.20 | e3) | (all_8_23 = e3 & op(e0, e1) = e3) % 86.09/12.20 | (162) (all_8_9 = e4 & op(e4, e1) = e4) | (all_8_10 = e4 & op(e3, e1) = e4) % 86.09/12.20 | | (all_8_11 = e4 & op(e2, e1) = e4) | (all_8_15 = e4 & op(e1, e1) = % 86.09/12.20 | e4) | (all_8_23 = e4 & op(e0, e1) = e4) % 86.09/12.20 | (163) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_7 = e1 & op(e2, e3) = e1) | % 86.09/12.20 | (all_8_8 = e1 & op(e2, e2) = e1) | (all_8_11 = e1 & op(e2, e1) = e1) % 86.09/12.20 | | (all_8_18 = e1 & op(e2, e0) = e1) % 86.09/12.20 | (164) (all_8_6 = e2 & op(e2, e4) = e2) | (all_8_7 = e2 & op(e2, e3) = e2) | % 86.09/12.20 | (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_11 = e2 & op(e2, e1) = e2) % 86.09/12.20 | | (all_8_18 = e2 & op(e2, e0) = e2) % 86.09/12.20 | (165) (all_8_6 = e3 & op(e2, e4) = e3) | (all_8_7 = e3 & op(e2, e3) = e3) | % 86.09/12.20 | (all_8_8 = e3 & op(e2, e2) = e3) | (all_8_11 = e3 & op(e2, e1) = e3) % 86.09/12.20 | | (all_8_18 = e3 & op(e2, e0) = e3) % 86.09/12.20 | (166) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & op(e3, e2) = e0) | % 86.09/12.20 | (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 & op(e1, e2) = e0) % 86.09/12.20 | | (all_8_22 = e0 & op(e0, e2) = e0) % 86.09/12.20 | (167) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) | % 86.09/12.20 | (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 & op(e1, e2) = e2) % 86.09/12.20 | | (all_8_22 = e2 & op(e0, e2) = e2) % 86.09/12.20 | (168) (all_8_4 = e3 & op(e4, e2) = e3) | (all_8_5 = e3 & op(e3, e2) = e3) | % 86.09/12.20 | (all_8_8 = e3 & op(e2, e2) = e3) | (all_8_14 = e3 & op(e1, e2) = e3) % 86.09/12.20 | | (all_8_22 = e3 & op(e0, e2) = e3) % 86.09/12.20 | (169) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) | % 86.09/12.20 | (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) % 86.09/12.20 | | (all_8_22 = e4 & op(e0, e2) = e4) % 86.09/12.20 | (170) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 86.09/12.20 | (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) % 86.09/12.20 | | (all_8_17 = e0 & op(e3, e0) = e0) % 86.09/12.20 | (171) (all_8_2 = e1 & op(e3, e4) = e1) | (all_8_3 = e1 & op(e3, e3) = e1) | % 86.09/12.20 | (all_8_5 = e1 & op(e3, e2) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) % 86.09/12.20 | | (all_8_17 = e1 & op(e3, e0) = e1) % 86.09/12.20 | (172) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 86.09/12.20 | (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) % 86.09/12.20 | | (all_8_17 = e2 & op(e3, e0) = e2) % 86.09/12.20 | (173) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 86.09/12.20 | (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) % 86.09/12.20 | | (all_8_17 = e3 & op(e3, e0) = e3) % 86.09/12.20 | (174) (all_8_2 = e4 & op(e3, e4) = e4) | (all_8_3 = e4 & op(e3, e3) = e4) | % 86.09/12.20 | (all_8_5 = e4 & op(e3, e2) = e4) | (all_8_10 = e4 & op(e3, e1) = e4) % 86.09/12.20 | | (all_8_17 = e4 & op(e3, e0) = e4) % 86.09/12.20 | (175) (all_8_1 = e0 & op(e4, e3) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 86.09/12.20 | (all_8_7 = e0 & op(e2, e3) = e0) | (all_8_13 = e0 & op(e1, e3) = e0) % 86.09/12.20 | | (all_8_21 = e0 & op(e0, e3) = e0) % 86.09/12.20 | (176) (all_8_0 = e0 & op(e4, e4) = e0) | (all_8_1 = e0 & op(e4, e3) = e0) | % 86.09/12.20 | (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_9 = e0 & op(e4, e1) = e0) | % 86.09/12.20 | (all_8_16 = e0 & op(e4, e0) = e0) % 86.09/12.20 | (177) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_2 = e1 & op(e3, e4) = e1) | % 86.09/12.20 | (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_12 = e1 & op(e1, e4) = e1) % 86.09/12.20 | | (all_8_20 = e1 & op(e0, e4) = e1) % 86.09/12.20 | (178) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_1 = e1 & op(e4, e3) = e1) | % 86.09/12.20 | (all_8_4 = e1 & op(e4, e2) = e1) | (all_8_9 = e1 & op(e4, e1) = e1) | % 86.09/12.20 | (all_8_16 = e1 & op(e4, e0) = e1) % 86.09/12.20 | (179) (all_8_0 = e2 & op(e4, e4) = e2) | (all_8_1 = e2 & op(e4, e3) = e2) | % 86.09/12.20 | (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_9 = e2 & op(e4, e1) = e2) | % 86.09/12.20 | (all_8_16 = e2 & op(e4, e0) = e2) % 86.09/12.20 | (180) (all_8_0 = e3 & op(e4, e4) = e3) | (all_8_2 = e3 & op(e3, e4) = e3) | % 86.09/12.20 | (all_8_6 = e3 & op(e2, e4) = e3) | (all_8_12 = e3 & op(e1, e4) = e3) % 86.09/12.20 | | (all_8_20 = e3 & op(e0, e4) = e3) % 86.09/12.20 | (181) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & op(e3, e4) = e4) | % 86.09/12.20 | (all_8_6 = e4 & op(e2, e4) = e4) | (all_8_12 = e4 & op(e1, e4) = e4) % 86.09/12.20 | | (all_8_20 = e4 & op(e0, e4) = e4) % 86.09/12.20 | (182) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_1 = e4 & op(e4, e3) = e4) | % 86.09/12.20 | (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_9 = e4 & op(e4, e1) = e4) | % 86.09/12.20 | (all_8_16 = e4 & op(e4, e0) = e4) % 86.09/12.20 | % 86.09/12.20 | DELTA: instantiating (25) with fresh symbols all_9_0, all_9_1, all_9_2, % 86.09/12.20 | all_9_3, all_9_4, all_9_5, all_9_6, all_9_7, all_9_8, all_9_9, % 86.09/12.20 | all_9_10, all_9_11, all_9_12, all_9_13, all_9_14, all_9_15, all_9_16, % 86.09/12.20 | all_9_17, all_9_18, all_9_19, all_9_20, all_9_21, all_9_22, all_9_23, % 86.09/12.20 | all_9_24, all_9_25, all_9_26, all_9_27, all_9_28, all_9_29, all_9_30, % 86.09/12.20 | all_9_31, all_9_32, all_9_33, all_9_34, all_9_35, all_9_36, all_9_37, % 86.09/12.20 | all_9_38, all_9_39, all_9_40, all_9_41, all_9_42, all_9_43, all_9_44, % 86.09/12.20 | all_9_45, all_9_46, all_9_47, all_9_48, all_9_49, all_9_50, all_9_51, % 86.09/12.20 | all_9_52, all_9_53, all_9_54, all_9_55, all_9_56, all_9_57, all_9_58, % 86.09/12.20 | all_9_59, all_9_60, all_9_61, all_9_62, all_9_63, all_9_64 gives: % 86.47/12.22 | (183) ((all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = all_9_45) & % 86.47/12.22 | op(all_9_41, e4) = all_9_0 & op(all_9_41, e3) = e4 & op(e4, e3) = % 86.47/12.22 | all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_0) & $i(all_9_41) & % 86.47/12.22 | $i(all_9_45)) | (all_9_3 = e4 & ~ (all_9_2 = e2) & ~ (all_9_42 % 86.47/12.22 | = all_9_50) & op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = % 86.47/12.22 | e4 & op(e4, e2) = all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_2) % 86.47/12.22 | & $i(all_9_42) & $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = % 86.47/12.22 | e1) & ~ (all_9_43 = all_9_55) & op(all_9_43, e4) = all_9_4 & % 86.47/12.22 | op(all_9_43, e1) = e4 & op(e4, e1) = all_9_43 & op(e1, e4) = % 86.47/12.22 | all_9_55 & $i(all_9_4) & $i(all_9_43) & $i(all_9_55)) | (all_9_7 % 86.47/12.22 | = e4 & ~ (all_9_6 = e0) & ~ (all_9_44 = all_9_60) & % 86.47/12.22 | op(all_9_44, e4) = all_9_6 & op(all_9_44, e0) = e4 & op(e4, e0) = % 86.47/12.22 | all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_6) & $i(all_9_44) & % 86.47/12.22 | $i(all_9_60)) | (all_9_9 = e3 & ~ (all_9_8 = e4) & ~ (all_9_41 % 86.47/12.22 | = all_9_45) & op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 86.47/12.22 | all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = all_9_45 & % 86.47/12.22 | $i(all_9_8) & $i(all_9_41) & $i(all_9_45)) | (all_9_11 = e3 & ~ % 86.47/12.22 | (all_9_10 = e2) & ~ (all_9_47 = all_9_51) & op(all_9_47, e3) = % 86.47/12.22 | all_9_10 & op(all_9_47, e2) = e3 & op(e3, e2) = all_9_47 & op(e2, % 86.47/12.22 | e3) = all_9_51 & $i(all_9_10) & $i(all_9_47) & $i(all_9_51)) | % 86.47/12.22 | (all_9_13 = e3 & ~ (all_9_12 = e1) & ~ (all_9_48 = all_9_56) & % 86.47/12.22 | op(all_9_48, e3) = all_9_12 & op(all_9_48, e1) = e3 & op(e3, e1) % 86.47/12.22 | = all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_12) & $i(all_9_48) % 86.47/12.22 | & $i(all_9_56)) | (all_9_15 = e3 & ~ (all_9_14 = e0) & ~ % 86.47/12.22 | (all_9_49 = all_9_61) & op(all_9_49, e3) = all_9_14 & % 86.47/12.22 | op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & op(e0, e3) = % 86.47/12.22 | all_9_61 & $i(all_9_14) & $i(all_9_49) & $i(all_9_61)) | % 86.47/12.22 | (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 = all_9_50) & % 86.47/12.22 | op(all_9_50, e4) = e2 & op(all_9_50, e2) = all_9_16 & op(e4, e2) % 86.47/12.22 | = all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) & $i(all_9_42) % 86.47/12.22 | & $i(all_9_50)) | (all_9_19 = e2 & ~ (all_9_18 = e3) & ~ % 86.47/12.22 | (all_9_47 = all_9_51) & op(all_9_51, e3) = e2 & op(all_9_51, e2) % 86.47/12.22 | = all_9_18 & op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & % 86.47/12.22 | $i(all_9_18) & $i(all_9_47) & $i(all_9_51)) | (all_9_21 = e2 & ~ % 86.47/12.22 | (all_9_20 = e1) & ~ (all_9_53 = all_9_57) & op(all_9_53, e2) = % 86.47/12.22 | all_9_20 & op(all_9_53, e1) = e2 & op(e2, e1) = all_9_53 & op(e1, % 86.47/12.22 | e2) = all_9_57 & $i(all_9_20) & $i(all_9_53) & $i(all_9_57)) | % 86.47/12.22 | (all_9_23 = e2 & ~ (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & % 86.47/12.22 | op(all_9_54, e2) = all_9_22 & op(all_9_54, e0) = e2 & op(e2, e0) % 86.47/12.22 | = all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_22) & $i(all_9_54) % 86.47/12.22 | & $i(all_9_62)) | (all_9_25 = e1 & ~ (all_9_24 = e4) & ~ % 86.47/12.22 | (all_9_43 = all_9_55) & op(all_9_55, e4) = e1 & op(all_9_55, e1) % 86.47/12.22 | = all_9_24 & op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & % 86.47/12.22 | $i(all_9_24) & $i(all_9_43) & $i(all_9_55)) | (all_9_27 = e1 & ~ % 86.47/12.22 | (all_9_26 = e3) & ~ (all_9_48 = all_9_56) & op(all_9_56, e3) = % 86.47/12.22 | e1 & op(all_9_56, e1) = all_9_26 & op(e3, e1) = all_9_48 & op(e1, % 86.47/12.22 | e3) = all_9_56 & $i(all_9_26) & $i(all_9_48) & $i(all_9_56)) | % 86.47/12.22 | (all_9_29 = e1 & ~ (all_9_28 = e2) & ~ (all_9_53 = all_9_57) & % 86.47/12.22 | op(all_9_57, e2) = e1 & op(all_9_57, e1) = all_9_28 & op(e2, e1) % 86.47/12.22 | = all_9_53 & op(e1, e2) = all_9_57 & $i(all_9_28) & $i(all_9_53) % 86.47/12.22 | & $i(all_9_57)) | (all_9_31 = e1 & ~ (all_9_30 = e0) & ~ % 86.47/12.22 | (all_9_59 = all_9_63) & op(all_9_59, e1) = all_9_30 & % 86.47/12.22 | op(all_9_59, e0) = e1 & op(e1, e0) = all_9_59 & op(e0, e1) = % 86.47/12.22 | all_9_63 & $i(all_9_30) & $i(all_9_59) & $i(all_9_63)) | % 86.47/12.22 | (all_9_33 = e0 & ~ (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & % 86.47/12.22 | op(all_9_60, e4) = e0 & op(all_9_60, e0) = all_9_32 & op(e4, e0) % 86.47/12.22 | = all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_32) & $i(all_9_44) % 86.47/12.22 | & $i(all_9_60)) | (all_9_35 = e0 & ~ (all_9_34 = e3) & ~ % 86.47/12.22 | (all_9_49 = all_9_61) & op(all_9_61, e3) = e0 & op(all_9_61, e0) % 86.47/12.22 | = all_9_34 & op(e3, e0) = all_9_49 & op(e0, e3) = all_9_61 & % 86.47/12.22 | $i(all_9_34) & $i(all_9_49) & $i(all_9_61)) | (all_9_37 = e0 & ~ % 86.47/12.22 | (all_9_36 = e2) & ~ (all_9_54 = all_9_62) & op(all_9_62, e2) = % 86.47/12.22 | e0 & op(all_9_62, e0) = all_9_36 & op(e2, e0) = all_9_54 & op(e0, % 86.47/12.22 | e2) = all_9_62 & $i(all_9_36) & $i(all_9_54) & $i(all_9_62)) | % 86.47/12.22 | (all_9_39 = e0 & ~ (all_9_38 = e1) & ~ (all_9_59 = all_9_63) & % 86.47/12.22 | op(all_9_63, e1) = e0 & op(all_9_63, e0) = all_9_38 & op(e1, e0) % 86.47/12.22 | = all_9_59 & op(e0, e1) = all_9_63 & $i(all_9_38) & $i(all_9_59) % 86.47/12.22 | & $i(all_9_63))) & ((op(e4, e4) = all_9_40 & op(e3, e4) = % 86.47/12.22 | all_9_45 & op(e2, e4) = all_9_50 & op(e1, e4) = all_9_55 & op(e0, % 86.47/12.22 | e4) = all_9_60 & $i(all_9_40) & $i(all_9_45) & $i(all_9_50) & % 86.47/12.22 | $i(all_9_55) & $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = % 86.47/12.22 | e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) & ( ~ (all_9_50 % 86.47/12.22 | = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = e4) | ~ (unit = % 86.47/12.22 | e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 = % 86.47/12.22 | e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = % 86.47/12.22 | all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) % 86.47/12.22 | | ( ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) % 86.47/12.22 | & ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & % 86.47/12.22 | op(e4, e1) = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ % 86.47/12.22 | (unit = e4)) | ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & % 86.47/12.22 | $i(all_9_44))) & ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 86.47/12.22 | (all_9_46 = e4) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 86.47/12.22 | ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ (all_9_47 = e4) & op(e3, % 86.47/12.22 | e2) = all_9_47 & $i(all_9_47))) & ((all_9_45 = e1 & ~ % 86.47/12.22 | (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = all_9_48 & % 86.47/12.22 | $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 86.47/12.22 | (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.22 | ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, % 86.47/12.22 | e3) = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ % 86.47/12.22 | (unit = e4)) | ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & % 86.47/12.22 | $i(all_9_52))) & ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 86.47/12.22 | (all_9_53 = e4) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 86.47/12.22 | ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ (all_9_54 = e4) & op(e2, % 86.47/12.22 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_55 = e3 & ~ % 86.47/12.22 | (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = all_9_56 & % 86.47/12.22 | $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 86.47/12.22 | (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 86.47/12.22 | ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, % 86.47/12.22 | e1) = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ % 86.47/12.22 | (unit = e4)) | ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & % 86.47/12.22 | $i(all_9_59))) & ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 86.47/12.22 | (all_9_61 = e4) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 86.47/12.22 | ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ (all_9_62 = e4) & op(e0, % 86.47/12.22 | e2) = all_9_62 & $i(all_9_62))) & ((all_9_60 = e1 & ~ % 86.47/12.22 | (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = all_9_63 & % 86.47/12.22 | $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 86.47/12.22 | (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.22 | (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = % 86.47/12.22 | all_9_51 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 86.47/12.22 | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & % 86.47/12.22 | $i(all_9_61) & ( ~ (all_9_41 = e3) | ~ (unit = e3)) & ( ~ % 86.47/12.22 | (all_9_46 = e3) | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 86.47/12.22 | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit = e3)) & ( ~ % 86.47/12.22 | (all_9_61 = e3) | ~ (unit = e3)) & ((all_9_41 = e4 & ~ (unit % 86.47/12.22 | = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 86.47/12.22 | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( ~ % 86.47/12.22 | (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 86.47/12.22 | ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, % 86.47/12.22 | e1) = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ % 86.47/12.22 | (unit = e3)) | ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 86.47/12.22 | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ % 86.47/12.22 | (all_9_45 = e3) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.22 | ((all_9_46 = e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & op(e3, % 86.47/12.22 | e2) = all_9_47 & $i(all_9_47))) & ((all_9_46 = e1 & ~ % 86.47/12.22 | (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 86.47/12.22 | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( ~ % 86.47/12.22 | (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.22 | ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, % 86.47/12.22 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ % 86.47/12.22 | (unit = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 86.47/12.22 | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ % 86.47/12.22 | (all_9_53 = e3) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 86.47/12.22 | ((all_9_51 = e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & op(e2, % 86.47/12.22 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_56 = e4 & ~ % 86.47/12.22 | (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 86.47/12.22 | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( ~ % 86.47/12.22 | (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 86.47/12.22 | ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, % 86.47/12.22 | e1) = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ % 86.47/12.22 | (unit = e3)) | ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 86.47/12.22 | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ % 86.47/12.22 | (all_9_60 = e3) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.22 | ((all_9_61 = e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & op(e0, % 86.47/12.22 | e2) = all_9_62 & $i(all_9_62))) & ((all_9_61 = e1 & ~ % 86.47/12.22 | (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 86.47/12.22 | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( ~ % 86.47/12.22 | (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.22 | (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = % 86.47/12.22 | all_9_52 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & % 86.47/12.22 | $i(all_9_42) & $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 86.47/12.22 | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = e2)) & ( ~ % 86.47/12.22 | (all_9_47 = e2) | ~ (unit = e2)) & ( ~ (all_9_52 = e2) | ~ % 86.47/12.22 | (unit = e2)) & ( ~ (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 86.47/12.22 | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = e4 & ~ (unit % 86.47/12.22 | = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = all_9_40 & % 86.47/12.22 | $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 86.47/12.22 | (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 86.47/12.22 | ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, % 86.47/12.22 | e1) = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ % 86.47/12.22 | (unit = e2)) | ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & % 86.47/12.22 | $i(all_9_44))) & ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 86.47/12.22 | (all_9_45 = e2) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.22 | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 = e2) & op(e3, % 86.47/12.22 | e3) = all_9_46 & $i(all_9_46))) & ((all_9_47 = e1 & ~ % 86.47/12.22 | (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = all_9_48 & % 86.47/12.22 | $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 86.47/12.22 | (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.22 | ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, % 86.47/12.22 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ % 86.47/12.22 | (unit = e2)) | ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & % 86.47/12.22 | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 86.47/12.22 | (all_9_53 = e2) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 86.47/12.22 | ((all_9_52 = e0 & ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 86.47/12.22 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 = e4 & ~ % 86.47/12.22 | (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = all_9_55 & % 86.47/12.22 | $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 86.47/12.22 | (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 86.47/12.22 | ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, % 86.47/12.22 | e1) = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ % 86.47/12.22 | (unit = e2)) | ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & % 86.47/12.22 | $i(all_9_59))) & ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 86.47/12.22 | (all_9_60 = e2) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.22 | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 = e2) & op(e0, % 86.47/12.22 | e3) = all_9_61 & $i(all_9_61))) & ((all_9_62 = e1 & ~ % 86.47/12.22 | (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = all_9_63 & % 86.47/12.22 | $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 86.47/12.22 | (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.22 | (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 86.47/12.22 | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 86.47/12.22 | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 86.47/12.22 | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 86.47/12.22 | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 86.47/12.22 | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 86.47/12.22 | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit % 86.47/12.22 | = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 86.47/12.22 | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 86.47/12.22 | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 86.47/12.22 | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 86.47/12.22 | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ % 86.47/12.22 | (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 86.47/12.22 | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 86.47/12.22 | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.22 | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 86.47/12.22 | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ % 86.47/12.22 | (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 86.47/12.22 | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 86.47/12.22 | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.22 | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 86.47/12.22 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ % 86.47/12.22 | (unit = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 86.47/12.22 | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 86.47/12.22 | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 86.47/12.22 | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 86.47/12.22 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ % 86.47/12.22 | (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 86.47/12.22 | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 86.47/12.22 | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 86.47/12.22 | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 86.47/12.22 | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ % 86.47/12.22 | (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 86.47/12.22 | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 86.47/12.22 | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.22 | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 86.47/12.22 | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ % 86.47/12.22 | (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 86.47/12.22 | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 86.47/12.22 | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.22 | (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 86.47/12.22 | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 86.47/12.22 | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 86.47/12.22 | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 86.47/12.22 | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 86.47/12.22 | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 86.47/12.22 | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit % 86.47/12.22 | = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 86.47/12.22 | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 86.47/12.22 | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 86.47/12.22 | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 86.47/12.22 | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ % 86.47/12.22 | (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 86.47/12.22 | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 86.47/12.22 | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.22 | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 86.47/12.22 | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ % 86.47/12.22 | (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 86.47/12.22 | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 86.47/12.22 | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 86.47/12.22 | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 86.47/12.22 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ % 86.47/12.22 | (unit = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 86.47/12.22 | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 86.47/12.22 | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 86.47/12.22 | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 86.47/12.22 | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ % 86.47/12.22 | (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 86.47/12.22 | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 86.47/12.22 | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 86.47/12.22 | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 86.47/12.22 | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ % 86.47/12.22 | (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 86.47/12.22 | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 86.47/12.22 | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.22 | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 86.47/12.22 | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ % 86.47/12.22 | (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 86.47/12.22 | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 86.47/12.22 | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63))))) % 86.47/12.22 | % 86.47/12.22 | ALPHA: (183) implies: % 86.47/12.23 | (184) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = % 86.47/12.23 | all_9_50 & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & % 86.47/12.23 | $i(all_9_40) & $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 86.47/12.23 | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = e4)) & ( ~ % 86.47/12.23 | (all_9_45 = e4) | ~ (unit = e4)) & ( ~ (all_9_50 = e4) | ~ % 86.47/12.23 | (unit = e4)) & ( ~ (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 86.47/12.23 | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 = e3 & ~ (unit = % 86.47/12.23 | e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = all_9_41 & % 86.47/12.23 | $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 86.47/12.23 | (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 86.47/12.23 | ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, % 86.47/12.23 | e1) = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit % 86.47/12.23 | = e4)) | ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & % 86.47/12.23 | $i(all_9_44))) & ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 86.47/12.23 | (all_9_46 = e4) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 86.47/12.23 | ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ (all_9_47 = e4) & op(e3, % 86.47/12.23 | e2) = all_9_47 & $i(all_9_47))) & ((all_9_45 = e1 & ~ (unit % 86.47/12.23 | = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = all_9_48 & % 86.47/12.23 | $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 86.47/12.23 | (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.23 | ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, % 86.47/12.23 | e3) = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit % 86.47/12.23 | = e4)) | ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & % 86.47/12.23 | $i(all_9_52))) & ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 86.47/12.23 | (all_9_53 = e4) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 86.47/12.23 | ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ (all_9_54 = e4) & op(e2, % 86.47/12.23 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_55 = e3 & ~ (unit % 86.47/12.23 | = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = all_9_56 & % 86.47/12.23 | $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 86.47/12.23 | (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 86.47/12.23 | ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, % 86.47/12.23 | e1) = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit % 86.47/12.23 | = e4)) | ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & % 86.47/12.23 | $i(all_9_59))) & ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 86.47/12.23 | (all_9_61 = e4) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 86.47/12.23 | ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ (all_9_62 = e4) & op(e0, % 86.47/12.23 | e2) = all_9_62 & $i(all_9_62))) & ((all_9_60 = e1 & ~ (unit % 86.47/12.23 | = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = all_9_63 & % 86.47/12.23 | $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 86.47/12.23 | (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.23 | (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = % 86.47/12.23 | all_9_51 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 86.47/12.23 | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & % 86.47/12.23 | $i(all_9_61) & ( ~ (all_9_41 = e3) | ~ (unit = e3)) & ( ~ % 86.47/12.23 | (all_9_46 = e3) | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 86.47/12.23 | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit = e3)) & ( ~ % 86.47/12.23 | (all_9_61 = e3) | ~ (unit = e3)) & ((all_9_41 = e4 & ~ (unit = % 86.47/12.23 | e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 86.47/12.23 | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( ~ % 86.47/12.23 | (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 86.47/12.23 | ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, % 86.47/12.23 | e1) = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit % 86.47/12.23 | = e3)) | ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 86.47/12.23 | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ % 86.47/12.23 | (all_9_45 = e3) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.23 | ((all_9_46 = e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & op(e3, % 86.47/12.23 | e2) = all_9_47 & $i(all_9_47))) & ((all_9_46 = e1 & ~ (unit % 86.47/12.23 | = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 86.47/12.23 | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( ~ % 86.47/12.23 | (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.23 | ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, % 86.47/12.23 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit % 86.47/12.23 | = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 86.47/12.23 | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ % 86.47/12.23 | (all_9_53 = e3) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 86.47/12.23 | ((all_9_51 = e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & op(e2, % 86.47/12.23 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_56 = e4 & ~ (unit % 86.47/12.23 | = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 86.47/12.23 | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( ~ % 86.47/12.23 | (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 86.47/12.23 | ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, % 86.47/12.23 | e1) = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit % 86.47/12.23 | = e3)) | ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 86.47/12.23 | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ % 86.47/12.23 | (all_9_60 = e3) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.23 | ((all_9_61 = e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & op(e0, % 86.47/12.23 | e2) = all_9_62 & $i(all_9_62))) & ((all_9_61 = e1 & ~ (unit % 86.47/12.23 | = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 86.47/12.23 | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( ~ % 86.47/12.23 | (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.23 | (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = % 86.47/12.23 | all_9_52 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & % 86.47/12.23 | $i(all_9_42) & $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 86.47/12.23 | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = e2)) & ( ~ % 86.47/12.23 | (all_9_47 = e2) | ~ (unit = e2)) & ( ~ (all_9_52 = e2) | ~ % 86.47/12.23 | (unit = e2)) & ( ~ (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 86.47/12.23 | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = e4 & ~ (unit = % 86.47/12.23 | e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = all_9_40 & % 86.47/12.23 | $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 86.47/12.23 | (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 86.47/12.23 | ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, % 86.47/12.23 | e1) = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit % 86.47/12.23 | = e2)) | ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & % 86.47/12.23 | $i(all_9_44))) & ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 86.47/12.23 | (all_9_45 = e2) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.23 | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 = e2) & op(e3, % 86.47/12.23 | e3) = all_9_46 & $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit % 86.47/12.23 | = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = all_9_48 & % 86.47/12.23 | $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 86.47/12.23 | (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.23 | ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, % 86.47/12.23 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit % 86.47/12.23 | = e2)) | ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & % 86.47/12.23 | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 86.47/12.23 | (all_9_53 = e2) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 86.47/12.23 | ((all_9_52 = e0 & ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 86.47/12.23 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 = e4 & ~ (unit % 86.47/12.23 | = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = all_9_55 & % 86.47/12.23 | $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 86.47/12.23 | (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 86.47/12.23 | ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, % 86.47/12.23 | e1) = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit % 86.47/12.23 | = e2)) | ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & % 86.47/12.23 | $i(all_9_59))) & ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 86.47/12.23 | (all_9_60 = e2) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.23 | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 = e2) & op(e0, % 86.47/12.23 | e3) = all_9_61 & $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit % 86.47/12.23 | = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = all_9_63 & % 86.47/12.23 | $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 86.47/12.23 | (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.23 | (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 86.47/12.23 | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 86.47/12.23 | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 86.47/12.23 | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 86.47/12.23 | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 86.47/12.23 | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 86.47/12.23 | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit = % 86.47/12.23 | e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 86.47/12.23 | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 86.47/12.23 | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 86.47/12.23 | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 86.47/12.23 | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit % 86.47/12.23 | = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 86.47/12.23 | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 86.47/12.23 | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.23 | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 86.47/12.23 | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit % 86.47/12.23 | = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 86.47/12.23 | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 86.47/12.23 | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 86.47/12.23 | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 86.47/12.23 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit % 86.47/12.23 | = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 86.47/12.23 | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 86.47/12.23 | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 86.47/12.23 | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 86.47/12.23 | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ (unit % 86.47/12.23 | = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 86.47/12.23 | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 86.47/12.23 | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 86.47/12.23 | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 86.47/12.23 | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit % 86.47/12.23 | = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 86.47/12.23 | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 86.47/12.23 | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.23 | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 86.47/12.23 | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit % 86.47/12.23 | = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 86.47/12.23 | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 86.47/12.23 | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 86.47/12.23 | (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 86.47/12.23 | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 86.47/12.23 | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 86.47/12.23 | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 86.47/12.23 | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 86.47/12.23 | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 86.47/12.23 | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit = % 86.47/12.23 | e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 86.47/12.23 | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 86.47/12.23 | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 86.47/12.23 | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 86.47/12.23 | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit % 86.47/12.23 | = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 86.47/12.23 | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 86.47/12.23 | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 86.47/12.23 | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 86.47/12.23 | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit % 86.47/12.23 | = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 86.47/12.23 | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 86.47/12.23 | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 86.47/12.23 | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 86.47/12.23 | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit % 86.47/12.23 | = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 86.47/12.23 | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 86.47/12.23 | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 86.47/12.23 | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 86.47/12.23 | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ (unit % 86.47/12.23 | = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 86.47/12.23 | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 86.47/12.23 | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 86.47/12.23 | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 86.47/12.23 | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit % 86.47/12.23 | = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 86.47/12.23 | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 86.47/12.23 | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 86.47/12.23 | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 86.47/12.23 | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit % 86.47/12.23 | = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 86.47/12.23 | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 86.47/12.23 | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 86.47/12.24 | (185) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = all_9_45) & % 86.47/12.24 | op(all_9_41, e4) = all_9_0 & op(all_9_41, e3) = e4 & op(e4, e3) = % 86.47/12.24 | all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_0) & $i(all_9_41) & % 86.47/12.24 | $i(all_9_45)) | (all_9_3 = e4 & ~ (all_9_2 = e2) & ~ (all_9_42 = % 86.47/12.24 | all_9_50) & op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = e4 & % 86.47/12.24 | op(e4, e2) = all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_2) & % 86.47/12.24 | $i(all_9_42) & $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = e1) & % 86.47/12.24 | ~ (all_9_43 = all_9_55) & op(all_9_43, e4) = all_9_4 & op(all_9_43, % 86.47/12.24 | e1) = e4 & op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & % 86.47/12.24 | $i(all_9_4) & $i(all_9_43) & $i(all_9_55)) | (all_9_7 = e4 & ~ % 86.47/12.24 | (all_9_6 = e0) & ~ (all_9_44 = all_9_60) & op(all_9_44, e4) = % 86.47/12.24 | all_9_6 & op(all_9_44, e0) = e4 & op(e4, e0) = all_9_44 & op(e0, % 86.47/12.24 | e4) = all_9_60 & $i(all_9_6) & $i(all_9_44) & $i(all_9_60)) | % 86.47/12.24 | (all_9_9 = e3 & ~ (all_9_8 = e4) & ~ (all_9_41 = all_9_45) & % 86.47/12.24 | op(all_9_45, e4) = e3 & op(all_9_45, e3) = all_9_8 & op(e4, e3) = % 86.47/12.24 | all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_8) & $i(all_9_41) & % 86.47/12.24 | $i(all_9_45)) | (all_9_11 = e3 & ~ (all_9_10 = e2) & ~ (all_9_47 % 86.47/12.24 | = all_9_51) & op(all_9_47, e3) = all_9_10 & op(all_9_47, e2) = e3 % 86.47/12.24 | & op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_10) & % 86.47/12.24 | $i(all_9_47) & $i(all_9_51)) | (all_9_13 = e3 & ~ (all_9_12 = e1) % 86.47/12.24 | & ~ (all_9_48 = all_9_56) & op(all_9_48, e3) = all_9_12 & % 86.47/12.24 | op(all_9_48, e1) = e3 & op(e3, e1) = all_9_48 & op(e1, e3) = % 86.47/12.24 | all_9_56 & $i(all_9_12) & $i(all_9_48) & $i(all_9_56)) | (all_9_15 % 86.47/12.24 | = e3 & ~ (all_9_14 = e0) & ~ (all_9_49 = all_9_61) & op(all_9_49, % 86.47/12.24 | e3) = all_9_14 & op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & % 86.47/12.24 | op(e0, e3) = all_9_61 & $i(all_9_14) & $i(all_9_49) & $i(all_9_61)) % 86.47/12.24 | | (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 = all_9_50) & % 86.47/12.24 | op(all_9_50, e4) = e2 & op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 86.47/12.24 | all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) & $i(all_9_42) & % 86.47/12.24 | $i(all_9_50)) | (all_9_19 = e2 & ~ (all_9_18 = e3) & ~ (all_9_47 % 86.47/12.24 | = all_9_51) & op(all_9_51, e3) = e2 & op(all_9_51, e2) = all_9_18 % 86.47/12.24 | & op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_18) & % 86.47/12.24 | $i(all_9_47) & $i(all_9_51)) | (all_9_21 = e2 & ~ (all_9_20 = e1) % 86.47/12.24 | & ~ (all_9_53 = all_9_57) & op(all_9_53, e2) = all_9_20 & % 86.47/12.24 | op(all_9_53, e1) = e2 & op(e2, e1) = all_9_53 & op(e1, e2) = % 86.47/12.24 | all_9_57 & $i(all_9_20) & $i(all_9_53) & $i(all_9_57)) | (all_9_23 % 86.47/12.24 | = e2 & ~ (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & op(all_9_54, % 86.47/12.24 | e2) = all_9_22 & op(all_9_54, e0) = e2 & op(e2, e0) = all_9_54 & % 86.47/12.24 | op(e0, e2) = all_9_62 & $i(all_9_22) & $i(all_9_54) & $i(all_9_62)) % 86.47/12.24 | | (all_9_25 = e1 & ~ (all_9_24 = e4) & ~ (all_9_43 = all_9_55) & % 86.47/12.24 | op(all_9_55, e4) = e1 & op(all_9_55, e1) = all_9_24 & op(e4, e1) = % 86.47/12.24 | all_9_43 & op(e1, e4) = all_9_55 & $i(all_9_24) & $i(all_9_43) & % 86.47/12.24 | $i(all_9_55)) | (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 % 86.47/12.24 | = all_9_56) & op(all_9_56, e3) = e1 & op(all_9_56, e1) = all_9_26 % 86.47/12.24 | & op(e3, e1) = all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) & % 86.47/12.24 | $i(all_9_48) & $i(all_9_56)) | (all_9_29 = e1 & ~ (all_9_28 = e2) % 86.47/12.24 | & ~ (all_9_53 = all_9_57) & op(all_9_57, e2) = e1 & op(all_9_57, % 86.47/12.24 | e1) = all_9_28 & op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & % 86.47/12.24 | $i(all_9_28) & $i(all_9_53) & $i(all_9_57)) | (all_9_31 = e1 & ~ % 86.47/12.24 | (all_9_30 = e0) & ~ (all_9_59 = all_9_63) & op(all_9_59, e1) = % 86.47/12.24 | all_9_30 & op(all_9_59, e0) = e1 & op(e1, e0) = all_9_59 & op(e0, % 86.47/12.24 | e1) = all_9_63 & $i(all_9_30) & $i(all_9_59) & $i(all_9_63)) | % 86.47/12.24 | (all_9_33 = e0 & ~ (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & % 86.47/12.24 | op(all_9_60, e4) = e0 & op(all_9_60, e0) = all_9_32 & op(e4, e0) = % 86.47/12.24 | all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_32) & $i(all_9_44) & % 86.47/12.24 | $i(all_9_60)) | (all_9_35 = e0 & ~ (all_9_34 = e3) & ~ (all_9_49 % 86.47/12.24 | = all_9_61) & op(all_9_61, e3) = e0 & op(all_9_61, e0) = all_9_34 % 86.47/12.24 | & op(e3, e0) = all_9_49 & op(e0, e3) = all_9_61 & $i(all_9_34) & % 86.47/12.24 | $i(all_9_49) & $i(all_9_61)) | (all_9_37 = e0 & ~ (all_9_36 = e2) % 86.47/12.24 | & ~ (all_9_54 = all_9_62) & op(all_9_62, e2) = e0 & op(all_9_62, % 86.47/12.24 | e0) = all_9_36 & op(e2, e0) = all_9_54 & op(e0, e2) = all_9_62 & % 86.47/12.24 | $i(all_9_36) & $i(all_9_54) & $i(all_9_62)) | (all_9_39 = e0 & ~ % 86.47/12.24 | (all_9_38 = e1) & ~ (all_9_59 = all_9_63) & op(all_9_63, e1) = e0 % 86.47/12.24 | & op(all_9_63, e0) = all_9_38 & op(e1, e0) = all_9_59 & op(e0, e1) % 86.47/12.24 | = all_9_63 & $i(all_9_38) & $i(all_9_59) & $i(all_9_63)) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_6_24, e0, e0, % 86.47/12.24 | simplifying with (92), (118) gives: % 86.47/12.24 | (186) all_6_24 = all_4_24 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_6_23, e1, e0, % 86.47/12.24 | simplifying with (93), (119) gives: % 86.47/12.24 | (187) all_6_23 = all_4_19 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_6_22, e2, e0, % 86.47/12.24 | simplifying with (94), (120) gives: % 86.47/12.24 | (188) all_6_22 = all_4_14 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_6_21, e3, e0, % 86.47/12.24 | simplifying with (95), (121) gives: % 86.47/12.24 | (189) all_6_21 = all_4_9 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_6_20, e4, e0, % 86.47/12.24 | simplifying with (96), (122) gives: % 86.47/12.24 | (190) all_6_20 = all_4_4 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_6_20, e0, e4, e0, % 86.47/12.24 | simplifying with (122) gives: % 86.47/12.24 | (191) all_6_20 = e0 | ~ (op(e0, e4) = e0) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_6_21, e0, e3, e0, % 86.47/12.24 | simplifying with (121) gives: % 86.47/12.24 | (192) all_6_21 = e0 | ~ (op(e0, e3) = e0) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_6_22, e0, e2, e0, % 86.47/12.24 | simplifying with (120) gives: % 86.47/12.24 | (193) all_6_22 = e0 | ~ (op(e0, e2) = e0) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_19, e0, e1, e0, % 86.47/12.24 | simplifying with (93) gives: % 86.47/12.24 | (194) all_4_19 = e0 | ~ (op(e0, e1) = e0) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_6_24, e0, e0, e0, % 86.47/12.24 | simplifying with (118) gives: % 86.47/12.24 | (195) all_6_24 = e0 | ~ (op(e0, e0) = e0) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_6_19, e0, e1, % 86.47/12.24 | simplifying with (97), (123) gives: % 86.47/12.24 | (196) all_6_19 = all_4_23 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_6_18, e1, e1, % 86.47/12.24 | simplifying with (98), (124) gives: % 86.47/12.24 | (197) all_6_18 = all_4_18 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with e0, all_6_18, e1, e1, % 86.47/12.24 | simplifying with (21), (124) gives: % 86.47/12.24 | (198) all_6_18 = e0 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_6_17, e2, e1, % 86.47/12.24 | simplifying with (99), (125) gives: % 86.47/12.24 | (199) all_6_17 = all_4_13 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_6_16, e3, e1, % 86.47/12.24 | simplifying with (100), (126) gives: % 86.47/12.24 | (200) all_6_16 = all_4_8 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_8, e1, e3, e1, % 86.47/12.24 | simplifying with (100) gives: % 86.47/12.24 | (201) all_4_8 = e1 | ~ (op(e1, e3) = e1) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_13, e1, e2, e1, % 86.47/12.24 | simplifying with (99) gives: % 86.47/12.24 | (202) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_6_18, e1, e1, e1, % 86.47/12.24 | simplifying with (124) gives: % 86.47/12.24 | (203) all_6_18 = e1 | ~ (op(e1, e1) = e1) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with e0, e1, e1, e1, simplifying % 86.47/12.24 | with (21) gives: % 86.47/12.24 | (204) e1 = e0 | ~ (op(e1, e1) = e1) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_6_19, e1, e0, e1, % 86.47/12.24 | simplifying with (123) gives: % 86.47/12.24 | (205) all_6_19 = e1 | ~ (op(e1, e0) = e1) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_6_14, e0, e2, % 86.47/12.24 | simplifying with (102), (127) gives: % 86.47/12.24 | (206) all_6_14 = all_4_22 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_6_13, e1, e2, % 86.47/12.24 | simplifying with (103), (128) gives: % 86.47/12.24 | (207) all_6_13 = all_4_17 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_6_12, e2, e2, % 86.47/12.24 | simplifying with (104), (129) gives: % 86.47/12.24 | (208) all_6_12 = all_4_12 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with e3, all_6_12, e2, e2, % 86.47/12.24 | simplifying with (22), (129) gives: % 86.47/12.24 | (209) all_6_12 = e3 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_6_11, e3, e2, % 86.47/12.24 | simplifying with (105), (130) gives: % 86.47/12.24 | (210) all_6_11 = all_4_7 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_6_10, e4, e2, % 86.47/12.24 | simplifying with (106), (131) gives: % 86.47/12.24 | (211) all_6_10 = all_4_2 % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_6_11, e2, e3, e2, % 86.47/12.24 | simplifying with (130) gives: % 86.47/12.24 | (212) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_12, e2, e2, e2, % 86.47/12.24 | simplifying with (104) gives: % 86.47/12.24 | (213) all_4_12 = e2 | ~ (op(e2, e2) = e2) % 86.47/12.24 | % 86.47/12.24 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_6_9, e0, e3, % 86.47/12.24 | simplifying with (107), (132) gives: % 86.47/12.24 | (214) all_6_9 = all_4_21 % 86.47/12.24 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_6_8, e1, e3, % 86.47/12.25 | simplifying with (108), (133) gives: % 86.47/12.25 | (215) all_6_8 = all_4_16 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_6_7, e2, e3, % 86.47/12.25 | simplifying with (109), (134) gives: % 86.47/12.25 | (216) all_6_7 = all_4_11 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with e1, all_6_7, e2, e3, % 86.47/12.25 | simplifying with (23), (134) gives: % 86.47/12.25 | (217) all_6_7 = e1 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_6_6, e3, e3, % 86.47/12.25 | simplifying with (110), (135) gives: % 86.47/12.25 | (218) all_6_6 = all_4_6 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with e4, all_6_6, e3, e3, % 86.47/12.25 | simplifying with (24), (135) gives: % 86.47/12.25 | (219) all_6_6 = e4 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_6_5, e4, e3, % 86.47/12.25 | simplifying with (111), (136) gives: % 86.47/12.25 | (220) all_6_5 = all_4_1 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_6, e3, e3, e3, % 86.47/12.25 | simplifying with (110) gives: % 86.47/12.25 | (221) all_4_6 = e3 | ~ (op(e3, e3) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with e1, e3, e2, e3, simplifying % 86.47/12.25 | with (23) gives: % 86.47/12.25 | (222) e3 = e1 | ~ (op(e3, e2) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_16, e3, e1, e3, % 86.47/12.25 | simplifying with (108) gives: % 86.47/12.25 | (223) all_4_16 = e3 | ~ (op(e3, e1) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_21, e3, e0, e3, % 86.47/12.25 | simplifying with (107) gives: % 86.47/12.25 | (224) all_4_21 = e3 | ~ (op(e3, e0) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_6_4, e0, e4, % 86.47/12.25 | simplifying with (112), (137) gives: % 86.47/12.25 | (225) all_6_4 = all_4_20 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_6_3, e1, e4, % 86.47/12.25 | simplifying with (113), (138) gives: % 86.47/12.25 | (226) all_6_3 = all_4_15 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_6_2, e2, e4, % 86.47/12.25 | simplifying with (114), (139) gives: % 86.47/12.25 | (227) all_6_2 = all_4_10 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_6_1, e3, e4, % 86.47/12.25 | simplifying with (115), (140) gives: % 86.47/12.25 | (228) all_6_1 = all_4_5 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_6_0, e4, e4, % 86.47/12.25 | simplifying with (116), (141) gives: % 86.47/12.25 | (229) all_6_0 = all_4_0 % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_0, e4, e4, e4, % 86.47/12.25 | simplifying with (141) gives: % 86.47/12.25 | (230) all_6_0 = e4 | ~ (op(e4, e4) = e4) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_1, e4, e3, e4, % 86.47/12.25 | simplifying with (140) gives: % 86.47/12.25 | (231) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_2, e4, e2, e4, % 86.47/12.25 | simplifying with (139) gives: % 86.47/12.25 | (232) all_6_2 = e4 | ~ (op(e4, e2) = e4) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_10, e4, e2, e4, % 86.47/12.25 | simplifying with (114) gives: % 86.47/12.25 | (233) all_4_10 = e4 | ~ (op(e4, e2) = e4) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_3, e4, e1, e4, % 86.47/12.25 | simplifying with (138) gives: % 86.47/12.25 | (234) all_6_3 = e4 | ~ (op(e4, e1) = e4) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_15, e4, e1, e4, % 86.47/12.25 | simplifying with (113) gives: % 86.47/12.25 | (235) all_4_15 = e4 | ~ (op(e4, e1) = e4) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_4, e0, e0, e4, % 86.47/12.25 | simplifying with (137) gives: % 86.47/12.25 | (236) all_6_4 = e0 | ~ (op(e4, e0) = e0) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_20, e0, e0, e4, % 86.47/12.25 | simplifying with (112) gives: % 86.47/12.25 | (237) all_4_20 = e0 | ~ (op(e4, e0) = e0) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_21, e0, e0, e3, % 86.47/12.25 | simplifying with (107) gives: % 86.47/12.25 | (238) all_4_21 = e0 | ~ (op(e3, e0) = e0) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_19, e0, e0, e1, % 86.47/12.25 | simplifying with (123) gives: % 86.47/12.25 | (239) all_6_19 = e0 | ~ (op(e1, e0) = e0) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_3, e1, e1, e4, % 86.47/12.25 | simplifying with (138) gives: % 86.47/12.25 | (240) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_15, e1, e1, e4, % 86.47/12.25 | simplifying with (113) gives: % 86.47/12.25 | (241) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_8, e1, e1, e3, % 86.47/12.25 | simplifying with (133) gives: % 86.47/12.25 | (242) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_13, e1, e1, e2, % 86.47/12.25 | simplifying with (128) gives: % 86.47/12.25 | (243) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_23, e1, e1, e0, % 86.47/12.25 | simplifying with (119) gives: % 86.47/12.25 | (244) all_6_23 = e1 | ~ (op(e0, e1) = e1) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_2, e2, e2, e4, % 86.47/12.25 | simplifying with (139) gives: % 86.47/12.25 | (245) all_6_2 = e2 | ~ (op(e4, e2) = e2) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_10, e2, e2, e4, % 86.47/12.25 | simplifying with (114) gives: % 86.47/12.25 | (246) all_4_10 = e2 | ~ (op(e4, e2) = e2) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with e1, e2, e2, e3, simplifying % 86.47/12.25 | with (23) gives: % 86.47/12.25 | (247) e2 = e1 | ~ (op(e3, e2) = e2) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_13, e2, e2, e1, % 86.47/12.25 | simplifying with (99) gives: % 86.47/12.25 | (248) all_4_13 = e2 | ~ (op(e1, e2) = e2) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_22, e2, e2, e0, % 86.47/12.25 | simplifying with (120) gives: % 86.47/12.25 | (249) all_6_22 = e2 | ~ (op(e0, e2) = e2) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_14, e2, e2, e0, % 86.47/12.25 | simplifying with (94) gives: % 86.47/12.25 | (250) all_4_14 = e2 | ~ (op(e0, e2) = e2) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_5, e3, e3, e4, % 86.47/12.25 | simplifying with (115) gives: % 86.47/12.25 | (251) all_4_5 = e3 | ~ (op(e4, e3) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_7, e3, e3, e2, % 86.47/12.25 | simplifying with (105) gives: % 86.47/12.25 | (252) all_4_7 = e3 | ~ (op(e2, e3) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_6_16, e3, e3, e1, % 86.47/12.25 | simplifying with (126) gives: % 86.47/12.25 | (253) all_6_16 = e3 | ~ (op(e1, e3) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_8, e3, e3, e1, % 86.47/12.25 | simplifying with (100) gives: % 86.47/12.25 | (254) all_4_8 = e3 | ~ (op(e1, e3) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_9, e3, e3, e0, % 86.47/12.25 | simplifying with (95) gives: % 86.47/12.25 | (255) all_4_9 = e3 | ~ (op(e0, e3) = e3) % 86.47/12.25 | % 86.47/12.25 | GROUND_INST: instantiating (function-axioms) with all_4_1, e4, e4, e3, % 86.47/12.25 | simplifying with (111) gives: % 86.47/12.25 | (256) all_4_1 = e4 | ~ (op(e3, e4) = e4) % 86.47/12.25 | % 86.47/12.26 | GROUND_INST: instantiating (function-axioms) with all_6_10, e4, e4, e2, % 86.47/12.26 | simplifying with (131) gives: % 86.47/12.26 | (257) all_6_10 = e4 | ~ (op(e2, e4) = e4) % 86.47/12.26 | % 86.47/12.26 | GROUND_INST: instantiating (function-axioms) with all_4_3, e4, e4, e1, % 86.47/12.26 | simplifying with (101) gives: % 86.47/12.26 | (258) all_4_3 = e4 | ~ (op(e1, e4) = e4) % 86.47/12.26 | % 86.47/12.26 | GROUND_INST: instantiating (function-axioms) with all_4_4, e4, e4, e0, % 86.47/12.26 | simplifying with (96) gives: % 86.47/12.26 | (259) all_4_4 = e4 | ~ (op(e0, e4) = e4) % 86.47/12.26 | % 86.47/12.26 | COMBINE_EQS: (218), (219) imply: % 86.47/12.26 | (260) all_4_6 = e4 % 86.47/12.26 | % 86.47/12.26 | SIMP: (260) implies: % 86.47/12.26 | (261) all_4_6 = e4 % 86.47/12.26 | % 86.47/12.26 | COMBINE_EQS: (216), (217) imply: % 86.47/12.26 | (262) all_4_11 = e1 % 86.47/12.26 | % 86.47/12.26 | SIMP: (262) implies: % 86.47/12.26 | (263) all_4_11 = e1 % 86.47/12.26 | % 86.47/12.26 | COMBINE_EQS: (208), (209) imply: % 86.47/12.26 | (264) all_4_12 = e3 % 86.47/12.26 | % 86.47/12.26 | SIMP: (264) implies: % 86.47/12.26 | (265) all_4_12 = e3 % 86.47/12.26 | % 86.47/12.26 | COMBINE_EQS: (197), (198) imply: % 86.47/12.26 | (266) all_4_18 = e0 % 86.47/12.26 | % 86.47/12.26 | REDUCE: (89), (261) imply: % 86.47/12.26 | (267) ~ (all_4_1 = e4) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (80), (261) imply: % 86.47/12.26 | (268) ~ (all_4_5 = e4) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (74), (261) imply: % 86.47/12.26 | (269) ~ (all_4_7 = e4) % 86.47/12.26 | % 86.47/12.26 | SIMP: (269) implies: % 86.47/12.26 | (270) ~ (all_4_7 = e4) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (73), (261), (263) imply: % 86.47/12.26 | (271) ~ (e4 = e1) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (72), (261) imply: % 86.47/12.26 | (272) ~ (all_4_16 = e4) % 86.47/12.26 | % 86.47/12.26 | SIMP: (272) implies: % 86.47/12.26 | (273) ~ (all_4_16 = e4) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (71), (261) imply: % 86.47/12.26 | (274) ~ (all_4_21 = e4) % 86.47/12.26 | % 86.47/12.26 | SIMP: (274) implies: % 86.47/12.26 | (275) ~ (all_4_21 = e4) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (68), (265) imply: % 86.47/12.26 | (276) ~ (all_4_7 = e3) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (64), (266) imply: % 86.47/12.26 | (277) ~ (all_4_8 = e0) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (59), (263) imply: % 86.47/12.26 | (278) ~ (all_4_10 = e1) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (58), (265) imply: % 86.47/12.26 | (279) ~ (all_4_10 = e3) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (53), (263), (265) imply: % 86.47/12.26 | (280) ~ (e3 = e1) % 86.47/12.26 | % 86.47/12.26 | SIMP: (280) implies: % 86.47/12.26 | (281) ~ (e3 = e1) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (52), (263) imply: % 86.47/12.26 | (282) ~ (all_4_13 = e1) % 86.47/12.26 | % 86.47/12.26 | SIMP: (282) implies: % 86.47/12.26 | (283) ~ (all_4_13 = e1) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (51), (263) imply: % 86.47/12.26 | (284) ~ (all_4_14 = e1) % 86.47/12.26 | % 86.47/12.26 | SIMP: (284) implies: % 86.47/12.26 | (285) ~ (all_4_14 = e1) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (50), (263) imply: % 86.47/12.26 | (286) ~ (all_4_16 = e1) % 86.47/12.26 | % 86.47/12.26 | SIMP: (286) implies: % 86.47/12.26 | (287) ~ (all_4_16 = e1) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (49), (263) imply: % 86.47/12.26 | (288) ~ (all_4_21 = e1) % 86.47/12.26 | % 86.47/12.26 | SIMP: (288) implies: % 86.47/12.26 | (289) ~ (all_4_21 = e1) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (48), (265) imply: % 86.47/12.26 | (290) ~ (all_4_13 = e3) % 86.47/12.26 | % 86.47/12.26 | SIMP: (290) implies: % 86.47/12.26 | (291) ~ (all_4_13 = e3) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (47), (265) imply: % 86.47/12.26 | (292) ~ (all_4_14 = e3) % 86.47/12.26 | % 86.47/12.26 | SIMP: (292) implies: % 86.47/12.26 | (293) ~ (all_4_14 = e3) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (46), (265) imply: % 86.47/12.26 | (294) ~ (all_4_17 = e3) % 86.47/12.26 | % 86.47/12.26 | SIMP: (294) implies: % 86.47/12.26 | (295) ~ (all_4_17 = e3) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (45), (265) imply: % 86.47/12.26 | (296) ~ (all_4_22 = e3) % 86.47/12.26 | % 86.47/12.26 | SIMP: (296) implies: % 86.47/12.26 | (297) ~ (all_4_22 = e3) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (43), (266) imply: % 86.47/12.26 | (298) ~ (all_4_13 = e0) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (39), (266) imply: % 86.47/12.26 | (299) ~ (all_4_15 = e0) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (36), (266) imply: % 86.47/12.26 | (300) ~ (all_4_16 = e0) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (33), (266) imply: % 86.47/12.26 | (301) ~ (all_4_17 = e0) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (31), (266) imply: % 86.47/12.26 | (302) ~ (all_4_19 = e0) % 86.47/12.26 | % 86.47/12.26 | SIMP: (302) implies: % 86.47/12.26 | (303) ~ (all_4_19 = e0) % 86.47/12.26 | % 86.47/12.26 | REDUCE: (30), (266) imply: % 86.47/12.26 | (304) ~ (all_4_23 = e0) % 86.47/12.26 | % 86.47/12.26 | SIMP: (304) implies: % 86.47/12.26 | (305) ~ (all_4_23 = e0) % 86.47/12.26 | % 86.47/12.26 | BETA: splitting (174) gives: % 86.47/12.26 | % 86.47/12.26 | Case 1: % 86.47/12.26 | | % 86.47/12.26 | | (306) (all_8_2 = e4 & op(e3, e4) = e4) | (all_8_3 = e4 & op(e3, e3) = e4) % 86.47/12.26 | | % 86.47/12.26 | | BETA: splitting (306) gives: % 86.47/12.26 | | % 86.47/12.26 | | Case 1: % 86.47/12.26 | | | % 86.47/12.26 | | | (307) all_8_2 = e4 & op(e3, e4) = e4 % 86.47/12.26 | | | % 86.47/12.26 | | | REF_CLOSE: (256), (267), (307) are inconsistent by sub-proof #121. % 86.47/12.26 | | | % 86.47/12.26 | | Case 2: % 86.47/12.26 | | | % 86.47/12.26 | | | (308) all_8_3 = e4 & op(e3, e3) = e4 % 86.47/12.26 | | | % 86.47/12.26 | | | ALPHA: (308) implies: % 86.47/12.26 | | | (309) all_8_3 = e4 % 86.47/12.26 | | | % 86.47/12.26 | | | BETA: splitting (165) gives: % 86.47/12.26 | | | % 86.47/12.26 | | | Case 1: % 86.47/12.26 | | | | % 86.47/12.26 | | | | (310) (all_8_6 = e3 & op(e2, e4) = e3) | (all_8_7 = e3 & op(e2, e3) = % 86.47/12.26 | | | | e3) % 86.47/12.26 | | | | % 86.47/12.26 | | | | BETA: splitting (310) gives: % 86.47/12.26 | | | | % 86.47/12.26 | | | | Case 1: % 86.47/12.26 | | | | | % 86.47/12.26 | | | | | (311) all_8_6 = e3 & op(e2, e4) = e3 % 86.47/12.26 | | | | | % 86.47/12.26 | | | | | ALPHA: (311) implies: % 86.47/12.26 | | | | | (312) all_8_6 = e3 % 86.47/12.26 | | | | | % 86.47/12.26 | | | | | BETA: splitting (159) gives: % 86.47/12.26 | | | | | % 86.47/12.26 | | | | | Case 1: % 86.47/12.26 | | | | | | % 86.47/12.26 | | | | | | (313) (all_8_9 = e0 & op(e4, e1) = e0) | (all_8_10 = e0 & op(e3, % 86.47/12.26 | | | | | | e1) = e0) % 86.47/12.26 | | | | | | % 86.47/12.26 | | | | | | BETA: splitting (313) gives: % 86.47/12.26 | | | | | | % 86.47/12.26 | | | | | | Case 1: % 86.47/12.26 | | | | | | | % 86.47/12.26 | | | | | | | (314) all_8_9 = e0 & op(e4, e1) = e0 % 86.47/12.26 | | | | | | | % 86.47/12.26 | | | | | | | REF_CLOSE: (113), (299), (314), (function-axioms) are inconsistent % 86.47/12.26 | | | | | | | by sub-proof #120. % 86.47/12.26 | | | | | | | % 86.47/12.26 | | | | | | Case 2: % 86.47/12.26 | | | | | | | % 86.47/12.26 | | | | | | | (315) all_8_10 = e0 & op(e3, e1) = e0 % 86.47/12.26 | | | | | | | % 86.47/12.26 | | | | | | | REF_CLOSE: (108), (300), (315), (function-axioms) are inconsistent % 86.47/12.26 | | | | | | | by sub-proof #119. % 86.47/12.26 | | | | | | | % 86.47/12.26 | | | | | | End of split % 86.47/12.26 | | | | | | % 86.47/12.26 | | | | | Case 2: % 86.47/12.26 | | | | | | % 86.47/12.27 | | | | | | (316) (all_8_11 = e0 & op(e2, e1) = e0) | (all_8_15 = e0 & op(e1, % 86.47/12.27 | | | | | | e1) = e0) | (all_8_23 = e0 & op(e0, e1) = e0) % 86.47/12.27 | | | | | | % 86.47/12.27 | | | | | | BETA: splitting (316) gives: % 86.47/12.27 | | | | | | % 86.47/12.27 | | | | | | Case 1: % 86.47/12.27 | | | | | | | % 86.47/12.27 | | | | | | | (317) all_8_11 = e0 & op(e2, e1) = e0 % 86.47/12.27 | | | | | | | % 86.47/12.27 | | | | | | | REF_CLOSE: (103), (301), (317), (function-axioms) are inconsistent % 86.47/12.27 | | | | | | | by sub-proof #118. % 86.47/12.27 | | | | | | | % 86.47/12.27 | | | | | | Case 2: % 86.47/12.27 | | | | | | | % 86.47/12.27 | | | | | | | (318) (all_8_15 = e0 & op(e1, e1) = e0) | (all_8_23 = e0 & % 86.47/12.27 | | | | | | | op(e0, e1) = e0) % 86.47/12.27 | | | | | | | % 86.47/12.27 | | | | | | | BETA: splitting (318) gives: % 86.47/12.27 | | | | | | | % 86.47/12.27 | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | % 86.47/12.27 | | | | | | | | (319) all_8_15 = e0 & op(e1, e1) = e0 % 86.47/12.27 | | | | | | | | % 86.47/12.27 | | | | | | | | ALPHA: (319) implies: % 86.47/12.27 | | | | | | | | (320) all_8_15 = e0 % 86.47/12.27 | | | | | | | | % 86.47/12.27 | | | | | | | | BETA: splitting (171) gives: % 86.47/12.27 | | | | | | | | % 86.47/12.27 | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | % 86.47/12.27 | | | | | | | | | (321) (all_8_2 = e1 & op(e3, e4) = e1) | (all_8_3 = e1 & % 86.47/12.27 | | | | | | | | | op(e3, e3) = e1) % 86.47/12.27 | | | | | | | | | % 86.47/12.27 | | | | | | | | | BETA: splitting (321) gives: % 86.47/12.27 | | | | | | | | | % 86.47/12.27 | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | (322) all_8_2 = e1 & op(e3, e4) = e1 % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (18), (19), (20), % 86.47/12.27 | | | | | | | | | | (23), (170), (172), (173), (222), (247), (281), % 86.47/12.27 | | | | | | | | | | (309), (322), (function-axioms) are inconsistent % 86.47/12.27 | | | | | | | | | | by sub-proof #105. % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | (323) all_8_3 = e1 & op(e3, e3) = e1 % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | REF_CLOSE: (24), (271), (323), (function-axioms) are % 86.47/12.27 | | | | | | | | | | inconsistent by sub-proof #104. % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | End of split % 86.47/12.27 | | | | | | | | | % 86.47/12.27 | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | % 86.47/12.27 | | | | | | | | | (324) (all_8_5 = e1 & op(e3, e2) = e1) | (all_8_10 = e1 & % 86.47/12.27 | | | | | | | | | op(e3, e1) = e1) | (all_8_17 = e1 & op(e3, e0) = % 86.47/12.27 | | | | | | | | | e1) % 86.47/12.27 | | | | | | | | | % 86.47/12.27 | | | | | | | | | BETA: splitting (324) gives: % 86.47/12.27 | | | | | | | | | % 86.47/12.27 | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | (325) all_8_5 = e1 & op(e3, e2) = e1 % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | ALPHA: (325) implies: % 86.47/12.27 | | | | | | | | | | (326) all_8_5 = e1 % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | BETA: splitting (168) gives: % 86.47/12.27 | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | (327) (all_8_4 = e3 & op(e4, e2) = e3) | (all_8_5 = e3 & % 86.47/12.27 | | | | | | | | | | | op(e3, e2) = e3) % 86.47/12.27 | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | BETA: splitting (327) gives: % 86.47/12.27 | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | (328) all_8_4 = e3 & op(e4, e2) = e3 % 86.47/12.27 | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | ALPHA: (328) implies: % 86.47/12.27 | | | | | | | | | | | | (329) all_8_4 = e3 % 86.47/12.27 | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | BETA: splitting (166) gives: % 86.47/12.27 | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | (330) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & % 86.47/12.27 | | | | | | | | | | | | | op(e3, e2) = e0) % 86.47/12.27 | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | BETA: splitting (330) gives: % 86.47/12.27 | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | (331) all_8_4 = e0 & op(e4, e2) = e0 % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | REF_CLOSE: (16), (329), (331) are inconsistent by sub-proof % 86.47/12.27 | | | | | | | | | | | | | | #103. % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | (332) all_8_5 = e0 & op(e3, e2) = e0 % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | REF_CLOSE: (13), (23), (332), (function-axioms) are % 86.47/12.27 | | | | | | | | | | | | | | inconsistent by sub-proof #115. % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | End of split % 86.47/12.27 | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | (333) (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 % 86.47/12.27 | | | | | | | | | | | | | & op(e1, e2) = e0) | (all_8_22 = e0 & op(e0, e2) % 86.47/12.27 | | | | | | | | | | | | | = e0) % 86.47/12.27 | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | BETA: splitting (333) gives: % 86.47/12.27 | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | (334) all_8_8 = e0 & op(e2, e2) = e0 % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | ALPHA: (334) implies: % 86.47/12.27 | | | | | | | | | | | | | | (335) op(e2, e2) = e0 % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e2, % 86.47/12.27 | | | | | | | | | | | | | | e2, simplifying with (22), (335) gives: % 86.47/12.27 | | | | | | | | | | | | | | (336) e3 = e0 % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | REDUCE: (16), (336) imply: % 86.47/12.27 | | | | | | | | | | | | | | (337) $false % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | CLOSE: (337) is inconsistent. % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | (338) (all_8_14 = e0 & op(e1, e2) = e0) | (all_8_22 = e0 % 86.47/12.27 | | | | | | | | | | | | | | & op(e0, e2) = e0) % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | BETA: splitting (338) gives: % 86.47/12.27 | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | (339) all_8_14 = e0 & op(e1, e2) = e0 % 86.47/12.27 | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | ALPHA: (339) implies: % 86.47/12.27 | | | | | | | | | | | | | | | (340) all_8_14 = e0 % 86.47/12.27 | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 86.47/12.27 | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | (341) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & % 86.47/12.27 | | | | | | | | | | | | | | | | op(e3, e2) = e4) % 86.47/12.27 | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 86.47/12.27 | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | (342) all_8_4 = e4 & op(e4, e2) = e4 % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (17), (19), (44), (57), (143), (167), % 86.47/12.27 | | | | | | | | | | | | | | | | | (188), (199), (213), (227), (232), (247), (249), % 86.47/12.27 | | | | | | | | | | | | | | | | | (265), (283), (291), (298), (340), (342) are % 86.47/12.27 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96. % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | (343) all_8_5 = e4 & op(e3, e2) = e4 % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (326), (343) are inconsistent by sub-proof % 86.47/12.27 | | | | | | | | | | | | | | | | | #95. % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | End of split % 86.47/12.27 | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | (344) (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 % 86.47/12.27 | | | | | | | | | | | | | | | | & op(e1, e2) = e4) | (all_8_22 = e4 & op(e0, e2) % 86.47/12.27 | | | | | | | | | | | | | | | | = e4) % 86.47/12.27 | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | BETA: splitting (344) gives: % 86.47/12.27 | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | (345) all_8_8 = e4 & op(e2, e2) = e4 % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | ALPHA: (345) implies: % 86.47/12.27 | | | | | | | | | | | | | | | | | (346) all_8_8 = e4 % 86.47/12.27 | | | | | | | | | | | | | | | | | (347) op(e2, e2) = e4 % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 86.47/12.27 | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | (348) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 86.47/12.27 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2) % 86.47/12.27 | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (247), (329), (348) are inconsistent % 86.47/12.27 | | | | | | | | | | | | | | | | | | by sub-proof #94. % 86.47/12.27 | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | (349) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 86.47/12.27 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 86.47/12.27 | | | | | | | | | | | | | | | | | | = e2) % 86.47/12.27 | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives: % 86.47/12.27 | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | | (350) all_8_8 = e2 & op(e2, e2) = e2 % 86.47/12.27 | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (213), (265), (350) are inconsistent by % 86.47/12.27 | | | | | | | | | | | | | | | | | | | sub-proof #102. % 86.47/12.27 | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.27 | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | | (351) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.47/12.27 | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 86.47/12.27 | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives: % 86.47/12.27 | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.27 | | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | | | (352) all_8_14 = e2 & op(e1, e2) = e2 % 86.47/12.27 | | | | | | | | | | | | | | | | | | | | % 86.47/12.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies: % 86.47/12.27 | | | | | | | | | | | | | | | | | | | | (353) op(e1, e2) = e2 % 86.47/12.27 | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (13), (16), (19), (20), (21), (22), (23), (27), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (28), (29), (32), (34), (35), (37), (38), (40), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (41), (44), (54), (55), (56), (57), (60), (61), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (62), (63), (65), (66), (67), (69), (70), (75), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (76), (77), (78), (79), (81), (82), (83), (84), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (85), (86), (87), (88), (90), (91), (94), (95), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (99), (100), (103), (105), (107), (108), (111), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (114), (115), (142), (143), (144), (145), (146), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (151), (152), (153), (154), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (155), (157), (160), (161), (162), (163), (164), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (166), (167), (169), (170), (172), (173), (175), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (178), (179), (180), (181), (182), (184), (185), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (186), (187), (188), (189), (190), (191), (192), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (199), (200), (201), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (207), (210), (211), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (222), (223), (224), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (239), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (250), (251), (253), (254), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (255), (256), (257), (258), (259), (265), (268), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (270), (271), (273), (275), (276), (277), (278), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (279), (281), (283), (285), (287), (289), (291), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (293), (295), (298), (300), (305), (309), (320), % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (326), (346), (347), (353), (function-axioms) are % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (354) all_8_22 = e2 & op(e0, e2) = e2 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (355) all_8_22 = e2 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | (356) op(e0, e2) = e2 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | (357) ~ (op(e0, e2) = e2) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (356), (357) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | (358) $false % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (358) is inconsistent. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | (359) all_4_14 = e2 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (359) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | (360) ~ (all_4_10 = e2) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (359) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | (361) ~ (all_4_13 = e2) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (293), (359) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | (362) ~ (e3 = e2) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | (363) all_6_17 = e3 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (291), (363) are inconsistent by sub-proof % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | #100. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | (364) ~ (all_6_17 = e3) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | (365) all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | (366) all_6_17 = e2 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (361), (366) are inconsistent by sub-proof % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | #99. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | (367) ~ (all_6_17 = e2) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | (368) all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (369) all_6_17 = e1 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (283), (369) are inconsistent by sub-proof % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | #98. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (370) ~ (all_6_17 = e1) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (371) all_6_17 = e4 | all_6_17 = e0 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (372) all_6_17 = e4 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (372) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_4_13 = e4 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (373) implies: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (374) all_4_13 = e4 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (374) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (375) ~ (all_4_3 = e4) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (374) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (376) ~ (all_4_10 = e4) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (374) imply: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (377) op(e1, e2) = e4 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_6_2 = e3 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (227), (279), (378) are inconsistent by sub-proof % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | #77. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (379) ~ (all_6_2 = e3) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (380) all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e0 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_6_2 = e2 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (227), (360), (381) are inconsistent by sub-proof % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | #86. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) ~ (all_6_2 = e2) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) all_6_2 = e1 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (227), (278), (384) are inconsistent by sub-proof % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85. % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) ~ (all_6_2 = e1) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_6_2 = e4 | all_6_2 = e0 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) (all_8_12 = e4 & op(e1, e4) = e4) | (all_8_13 = e4 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4) % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) all_8_12 = e4 & op(e1, e4) = e4 % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.47/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies: % 86.47/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) op(e1, e4) = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (375), (389) are inconsistent by sub-proof % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #79. % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) all_8_13 = e4 & op(e1, e3) = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_8_13 = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_6_2 = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (227), (376), (392) are inconsistent by sub-proof % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84. % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) all_6_2 = e0 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (393) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_4_10 = e0 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (394) implies: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_4_10 = e0 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (395) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) ~ (all_4_5 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (395) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) ~ (all_4_15 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (395) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) ~ (all_4_20 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (398) implies: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) ~ (all_4_20 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (395) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) ~ (e4 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (395) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) ~ (e3 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (395) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) ~ (e2 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (395) imply: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) ~ (e1 = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) (all_8_0 = e0 & op(e4, e4) = e0) | (all_8_1 = e0 & % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e0) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_8_0 = e0 & op(e4, e4) = e0 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (405) implies: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_8_0 = e0 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e4) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (20), (169), (256), (267), (271), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326), (329), (340), (346), (355), (406), (407) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #21. % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) (all_8_6 = e4 & op(e2, e4) = e4) | (all_8_12 = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e4) | (all_8_20 = e4 & op(e0, e4) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (408) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_8_6 = e4 & op(e2, e4) = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13), (14), (15), (16), (17), (19), (20), (21), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22), (23), (27), (28), (29), (32), (34), (35), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (38), (40), (41), (44), (54), (55), (56), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (57), (60), (61), (62), (63), (65), (66), (67), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (69), (70), (75), (76), (77), (78), (79), (81), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (83), (84), (85), (86), (87), (88), (90), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (95), (99), (100), (103), (105), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (107), (108), (111), (114), (115), (142), (143), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (151), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (157), (160), (161), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (166), (167), (169), (170), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (175), (178), (179), (180), (181), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (182), (184), (185), (186), (187), (188), (189), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (193), (194), (195), (196), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (212), (213), (214), (215), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (240), (241), (242), (243), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (253), (254), (255), (256), (257), (258), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (265), (268), (270), (271), (273), (275), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (277), (278), (279), (281), (283), (285), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287), (289), (291), (293), (295), (298), (300), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305), (309), (312), (320), (326), (346), (409), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #20. % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) (all_8_12 = e4 & op(e1, e4) = e4) | (all_8_20 = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e4) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (410) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_8_12 = e4 & op(e1, e4) = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (411) implies: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) op(e1, e4) = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (375), (412) are inconsistent by sub-proof % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #79. % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_8_20 = e4 & op(e0, e4) = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (413) implies: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_8_20 = e4 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_2 = e1 & % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e1) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (18), (19), (20), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (170), (172), (173), (222), (247), (281), % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309), (406), (415), (function-axioms) are % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19. % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_12 = e1 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e1) | (all_8_20 = e1 & op(e0, e4) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (416) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_8_6 = e1 & op(e2, e4) = e1 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (312), (417) are inconsistent by sub-proof % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18. % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_20 = e1 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e1) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (418) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_8_12 = e1 & op(e1, e4) = e1 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (419) implies: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_8_12 = e1 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) (all_8_12 = e2 & op(e1, e4) = e2) | (all_8_13 = e2 % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e2) % 86.79/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_8_12 = e2 & op(e1, e4) = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (420), (422) are inconsistent by sub-proof % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_8_13 = e2 & op(e1, e3) = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (423) implies: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_8_13 = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (424) imply: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) e4 = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (425) imply: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) $false % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (426) is inconsistent. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_15 = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | (all_8_19 = e2 & op(e1, e0) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) op(e1, e2) = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (361), (429) are inconsistent by sub-proof % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #78. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) (all_8_15 = e2 & op(e1, e1) = e2) | (all_8_19 = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e2) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (430) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_8_15 = e2 & op(e1, e1) = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (431), (function-axioms) are % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_8_19 = e2 & op(e1, e0) = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (432) implies: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_8_19 = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e3) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_8_12 = e3 & op(e1, e4) = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (420), (435) are inconsistent by sub-proof % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_8_13 = e3 & op(e1, e3) = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (436) implies: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_8_13 = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (437) imply: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) e4 = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (438) imply: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_8_8 = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13), (14), (15), (16), (17), (19), (20), (21), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22), (23), (27), (28), (29), (32), (34), (35), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (38), (40), (41), (44), (54), (55), (56), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (57), (60), (61), (62), (63), (65), (66), (67), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (69), (70), (75), (76), (77), (78), (79), (81), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (83), (84), (85), (86), (87), (88), (90), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (95), (99), (100), (103), (105), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (107), (108), (111), (114), (115), (142), (143), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (151), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (157), (160), (161), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (166), (167), (169), (170), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (175), (178), (179), (180), (181), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (182), (184), (185), (186), (187), (188), (189), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (193), (194), (195), (196), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (212), (213), (214), (215), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (240), (241), (242), (243), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (253), (254), (255), (256), (257), (258), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (265), (268), (270), (271), (273), (275), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (277), (278), (279), (281), (283), (285), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287), (289), (291), (293), (295), (298), (300), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305), (309), (320), (326), (439), % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #27. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | (all_8_19 = e3 & op(e1, e0) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (440) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_8_14 = e3 & op(e1, e2) = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) op(e1, e2) = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (377), (442), (function-axioms) are % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #56. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) (all_8_15 = e3 & op(e1, e1) = e3) | (all_8_19 = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e3) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_8_15 = e3 & op(e1, e1) = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (320), (444) are inconsistent by sub-proof % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_8_19 = e3 & op(e1, e0) = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_8_19 = e3 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (446) imply: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) e3 = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (447) implies: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) e3 = e2 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (448) imply: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) $false % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (449) is inconsistent. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_8_20 = e1 & op(e0, e4) = e1 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (414), (450) are inconsistent by sub-proof % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #14. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_8_1 = e0 & op(e4, e3) = e0 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (115), (396), (451), (function-axioms) are % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_9 = e0 & % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e0) | (all_8_16 = e0 & op(e4, e0) = % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_8_4 = e0 & op(e4, e2) = e0 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (329), (453) are inconsistent by sub-proof % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103. % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) (all_8_9 = e0 & op(e4, e1) = e0) | (all_8_16 = e0 % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e0) % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_8_9 = e0 & op(e4, e1) = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (299), (455), (function-axioms) are % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_8_16 = e0 & op(e4, e0) = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) op(e4, e0) = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (237), (399), (457) are inconsistent by sub-proof % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_15 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_8_19 = e4 & op(e1, e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_8_14 = e4 & op(e1, e2) = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (459) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_8_14 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (460) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) e4 = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (20), (169), (271), (326), (329), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340), (346), (355), (461) are inconsistent by % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) (all_8_15 = e4 & op(e1, e1) = e4) | (all_8_19 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e4) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (462) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_8_15 = e4 & op(e1, e1) = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (463), (function-axioms) are % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #32. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_8_19 = e4 & op(e1, e0) = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (464) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_8_19 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_6_2 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (227), (376), (466) are inconsistent by sub-proof % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_6_2 = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (467) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_4_10 = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (468) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_4_10 = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (469) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) ~ (all_4_5 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (469) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) ~ (all_4_15 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (469) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) ~ (all_4_20 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (472) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) ~ (all_4_20 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (469) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) ~ (e4 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (469) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) ~ (e3 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (469) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) ~ (e2 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (469) imply: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) ~ (e1 = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) (all_8_0 = e0 & op(e4, e4) = e0) | (all_8_1 = e0 & % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e0) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_8_0 = e0 & op(e4, e4) = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (479) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_8_0 = e0 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e4) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (20), (169), (256), (267), (271), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326), (329), (340), (346), (355), (480), (481) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #21. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) (all_8_6 = e4 & op(e2, e4) = e4) | (all_8_12 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e4) | (all_8_20 = e4 & op(e0, e4) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_8_6 = e4 & op(e2, e4) = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13), (14), (15), (16), (17), (19), (20), (21), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22), (23), (27), (28), (29), (32), (34), (35), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (38), (40), (41), (44), (54), (55), (56), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (57), (60), (61), (62), (63), (65), (66), (67), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (69), (70), (75), (76), (77), (78), (79), (81), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (83), (84), (85), (86), (87), (88), (90), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (95), (99), (100), (103), (105), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (107), (108), (111), (114), (115), (142), (143), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (151), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (157), (160), (161), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (166), (167), (169), (170), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (175), (178), (179), (180), (181), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (182), (184), (185), (186), (187), (188), (189), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (193), (194), (195), (196), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (212), (213), (214), (215), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (240), (241), (242), (243), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (253), (254), (255), (256), (257), (258), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (265), (268), (270), (271), (273), (275), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (277), (278), (279), (281), (283), (285), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287), (289), (291), (293), (295), (298), (300), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305), (309), (312), (320), (326), (346), (483), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #20. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) (all_8_12 = e4 & op(e1, e4) = e4) | (all_8_20 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e4) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_8_12 = e4 & op(e1, e4) = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (485) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) op(e1, e4) = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (375), (486) are inconsistent by sub-proof % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #79. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_8_20 = e4 & op(e0, e4) = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_8_20 = e4 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_2 = e1 & % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e1) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (18), (19), (20), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (170), (172), (173), (222), (247), (281), % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309), (480), (489), (function-axioms) are % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_12 = e1 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e1) | (all_8_20 = e1 & op(e0, e4) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (490) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_8_6 = e1 & op(e2, e4) = e1 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (312), (491) are inconsistent by sub-proof % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18. % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_20 = e1 % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e1) % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_8_12 = e1 & op(e1, e4) = e1 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_8_12 = e1 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e3) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_8_12 = e3 & op(e1, e4) = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (494), (496) are inconsistent by sub-proof % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_8_13 = e3 & op(e1, e3) = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (497) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_8_13 = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) (all_8_12 = e2 & op(e1, e4) = e2) | (all_8_13 = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e2) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_8_12 = e2 & op(e1, e4) = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (494), (500) are inconsistent by sub-proof % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_8_13 = e2 & op(e1, e3) = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (501) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_8_13 = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (502) imply: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) e3 = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (503) imply: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) $false % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (504) is inconsistent. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_15 = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | (all_8_19 = e2 & op(e1, e0) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) op(e1, e2) = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (361), (507) are inconsistent by sub-proof % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #78. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) (all_8_15 = e2 & op(e1, e1) = e2) | (all_8_19 = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e2) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_8_15 = e2 & op(e1, e1) = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (509), (function-axioms) are % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_8_19 = e2 & op(e1, e0) = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_8_19 = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (511) imply: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) e4 = e2 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (512) imply: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) $false % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (513) is inconsistent. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | (all_8_19 = e3 & op(e1, e0) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_8_14 = e3 & op(e1, e2) = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (515) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) op(e1, e2) = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (377), (516), (function-axioms) are % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #56. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) (all_8_15 = e3 & op(e1, e1) = e3) | (all_8_19 = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e3) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_8_15 = e3 & op(e1, e1) = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (320), (518) are inconsistent by sub-proof % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_8_19 = e3 & op(e1, e0) = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_8_19 = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (520) imply: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) e4 = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (521) imply: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_8_8 = e3 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13), (14), (15), (16), (17), (19), (20), (21), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22), (23), (27), (28), (29), (32), (34), (35), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (38), (40), (41), (44), (54), (55), (56), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (57), (60), (61), (62), (63), (65), (66), (67), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (69), (70), (75), (76), (77), (78), (79), (81), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (83), (84), (85), (86), (87), (88), (90), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (94), (95), (99), (100), (103), (105), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (107), (108), (111), (114), (115), (142), (143), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (151), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (152), (153), (154), (155), (157), (160), (161), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (166), (167), (169), (170), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (172), (173), (175), (178), (179), (180), (181), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (182), (184), (185), (186), (187), (188), (189), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (193), (194), (195), (196), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (210), (211), (212), (213), (214), (215), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (240), (241), (242), (243), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (253), (254), (255), (256), (257), (258), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (265), (268), (270), (271), (273), (275), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (277), (278), (279), (281), (283), (285), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287), (289), (291), (293), (295), (298), (300), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305), (309), (320), (326), (522), % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #27. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_8_20 = e1 & op(e0, e4) = e1 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (488), (523) are inconsistent by sub-proof % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #14. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_8_1 = e0 & op(e4, e3) = e0 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (115), (470), (524), (function-axioms) are % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_9 = e0 & % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e0) | (all_8_16 = e0 & op(e4, e0) = % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (525) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_8_4 = e0 & op(e4, e2) = e0 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (329), (526) are inconsistent by sub-proof % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) (all_8_9 = e0 & op(e4, e1) = e0) | (all_8_16 = e0 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e0) % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_8_9 = e0 & op(e4, e1) = e0 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (299), (528), (function-axioms) are % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_8_16 = e0 & op(e4, e0) = e0 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies: % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) op(e4, e0) = e0 % 86.79/12.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (237), (473), (530) are inconsistent by sub-proof % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_6_17 = e0 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (298), (531) are inconsistent by sub-proof % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | #97. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | (532) (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_22 = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | & op(e0, e2) = e4) % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | BETA: splitting (532) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | (533) all_8_14 = e4 & op(e1, e2) = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (340), (533) are inconsistent by sub-proof % 86.79/12.33 | | | | | | | | | | | | | | | | | | #24. % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | (534) all_8_22 = e4 & op(e0, e2) = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | ALPHA: (534) implies: % 86.79/12.33 | | | | | | | | | | | | | | | | | | (535) all_8_22 = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | (536) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 86.79/12.33 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (247), (329), (536) are inconsistent % 86.79/12.33 | | | | | | | | | | | | | | | | | | | by sub-proof #94. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | (537) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (537) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (538) all_8_8 = e2 & op(e2, e2) = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (213), (265), (538) are inconsistent by % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (539) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | (540) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (340), (540) are inconsistent by sub-proof % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | #101. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | (541) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | (542) all_8_22 = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (535), (542) are inconsistent by sub-proof % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | #23. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | (543) all_8_22 = e0 & op(e0, e2) = e0 % 86.79/12.33 | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | ALPHA: (543) implies: % 86.79/12.33 | | | | | | | | | | | | | | | (544) all_8_22 = e0 % 86.79/12.33 | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 86.79/12.33 | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | (545) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & % 86.79/12.33 | | | | | | | | | | | | | | | | op(e3, e2) = e4) % 86.79/12.33 | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | REF_CLOSE: (20), (271), (326), (329), (545) are inconsistent % 86.79/12.33 | | | | | | | | | | | | | | | | by sub-proof #25. % 86.79/12.33 | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | (546) (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | & op(e1, e2) = e4) | (all_8_22 = e4 & op(e0, e2) % 86.79/12.33 | | | | | | | | | | | | | | | | = e4) % 86.79/12.33 | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | BETA: splitting (546) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | (547) all_8_8 = e4 & op(e2, e2) = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | ALPHA: (547) implies: % 86.79/12.33 | | | | | | | | | | | | | | | | | (548) all_8_8 = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | (549) op(e2, e2) = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | (550) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 86.79/12.33 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (247), (329), (550) are inconsistent % 86.79/12.33 | | | | | | | | | | | | | | | | | | by sub-proof #94. % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | (551) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | BETA: splitting (551) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | (552) all_8_8 = e2 & op(e2, e2) = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (213), (265), (552) are inconsistent by % 86.79/12.33 | | | | | | | | | | | | | | | | | | | sub-proof #102. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | (553) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (553) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (554) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | ALPHA: (554) implies: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (555) op(e1, e2) = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (13), (16), (19), (20), (21), (22), (23), (27), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (28), (29), (32), (34), (35), (37), (38), (40), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (41), (44), (54), (55), (56), (57), (60), (61), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (62), (63), (65), (66), (67), (69), (70), (75), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (76), (77), (78), (79), (81), (82), (83), (84), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (85), (86), (87), (88), (90), (91), (94), (95), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (99), (100), (103), (105), (107), (108), (111), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (114), (115), (142), (143), (144), (145), (146), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (151), (152), (153), (154), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (155), (157), (160), (161), (162), (163), (164), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (166), (167), (169), (170), (172), (173), (175), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (178), (179), (180), (181), (182), (184), (185), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (186), (187), (188), (189), (190), (191), (192), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (199), (200), (201), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (207), (210), (211), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (222), (223), (224), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (239), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (250), (251), (253), (254), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (255), (256), (257), (258), (259), (265), (268), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (270), (271), (273), (275), (276), (277), (278), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (279), (281), (283), (285), (287), (289), (291), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (293), (295), (298), (300), (305), (309), (320), % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (326), (548), (549), (555), (function-axioms) are % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | (556) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (544), (556) are inconsistent by sub-proof % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | #11. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | End of split % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | (557) (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_22 = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | & op(e0, e2) = e4) % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | BETA: splitting (557) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | (558) all_8_14 = e4 & op(e1, e2) = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | ALPHA: (558) implies: % 86.79/12.33 | | | | | | | | | | | | | | | | | | (559) all_8_14 = e4 % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 86.79/12.33 | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | (560) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 86.79/12.33 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2) % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (247), (329), (560) are inconsistent % 86.79/12.33 | | | | | | | | | | | | | | | | | | | by sub-proof #94. % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.33 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.33 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | (561) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 86.79/12.34 | | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (561) gives: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | (562) all_8_8 = e2 & op(e2, e2) = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (213), (265), (562) are inconsistent by % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | (563) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (563) gives: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | (564) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (559), (564) are inconsistent by sub-proof % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | #10. % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | (565) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (544), (565) are inconsistent by sub-proof % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | #11. % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | (566) all_8_22 = e4 & op(e0, e2) = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | ALPHA: (566) implies: % 86.79/12.34 | | | | | | | | | | | | | | | | | | (567) all_8_22 = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (567) imply: % 86.79/12.34 | | | | | | | | | | | | | | | | | | (568) e4 = e0 % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | REDUCE: (18), (568) imply: % 86.79/12.34 | | | | | | | | | | | | | | | | | | (569) $false % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | CLOSE: (569) is inconsistent. % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | (570) all_8_5 = e3 & op(e3, e2) = e3 % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | REF_CLOSE: (222), (281), (570) are inconsistent by sub-proof % 86.79/12.34 | | | | | | | | | | | | #112. % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | (571) (all_8_8 = e3 & op(e2, e2) = e3) | (all_8_14 = e3 % 86.79/12.34 | | | | | | | | | | | & op(e1, e2) = e3) | (all_8_22 = e3 & op(e0, e2) % 86.79/12.34 | | | | | | | | | | | = e3) % 86.79/12.34 | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | BETA: splitting (571) gives: % 86.79/12.34 | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | (572) all_8_8 = e3 & op(e2, e2) = e3 % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | ALPHA: (572) implies: % 86.79/12.34 | | | | | | | | | | | | (573) all_8_8 = e3 % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.34 | | | | | | | | | | | | (13), (14), (15), (16), (17), (19), (20), (21), % 86.79/12.34 | | | | | | | | | | | | (22), (23), (27), (28), (29), (32), (34), (35), % 86.79/12.34 | | | | | | | | | | | | (37), (38), (40), (41), (44), (54), (55), (56), % 86.79/12.34 | | | | | | | | | | | | (57), (60), (61), (62), (63), (65), (66), (67), % 86.79/12.34 | | | | | | | | | | | | (69), (70), (75), (76), (77), (78), (79), (81), % 86.79/12.34 | | | | | | | | | | | | (82), (83), (84), (85), (86), (87), (88), (90), % 86.79/12.34 | | | | | | | | | | | | (91), (94), (95), (99), (100), (103), (105), % 86.79/12.34 | | | | | | | | | | | | (107), (108), (111), (114), (115), (142), (143), % 86.79/12.34 | | | | | | | | | | | | (144), (145), (146), (147), (148), (149), (151), % 86.79/12.34 | | | | | | | | | | | | (152), (153), (154), (155), (157), (160), (161), % 86.79/12.34 | | | | | | | | | | | | (162), (163), (164), (166), (167), (169), (170), % 86.79/12.34 | | | | | | | | | | | | (172), (173), (175), (178), (179), (180), (181), % 86.79/12.34 | | | | | | | | | | | | (182), (184), (185), (186), (187), (188), (189), % 86.79/12.34 | | | | | | | | | | | | (190), (191), (192), (193), (194), (195), (196), % 86.79/12.34 | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205), % 86.79/12.34 | | | | | | | | | | | | (207), (210), (211), (212), (213), (214), (215), % 86.79/12.34 | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228), % 86.79/12.34 | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235), % 86.79/12.34 | | | | | | | | | | | | (236), (238), (239), (240), (241), (242), (243), % 86.79/12.34 | | | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250), % 86.79/12.34 | | | | | | | | | | | | (251), (253), (254), (255), (256), (257), (258), % 86.79/12.34 | | | | | | | | | | | | (259), (265), (268), (270), (271), (273), (275), % 86.79/12.34 | | | | | | | | | | | | (276), (277), (278), (279), (281), (283), (285), % 86.79/12.34 | | | | | | | | | | | | (287), (289), (291), (293), (295), (298), (300), % 86.79/12.34 | | | | | | | | | | | | (305), (309), (320), (326), (573), % 86.79/12.34 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.34 | | | | | | | | | | | | #27. % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | (574) (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_22 = e3 % 86.79/12.34 | | | | | | | | | | | | & op(e0, e2) = e3) % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | BETA: splitting (574) gives: % 86.79/12.34 | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | (575) all_8_14 = e3 & op(e1, e2) = e3 % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | ALPHA: (575) implies: % 86.79/12.34 | | | | | | | | | | | | | (576) op(e1, e2) = e3 % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, e3, % 86.79/12.34 | | | | | | | | | | | | | e2, e1, simplifying with (99), (576) gives: % 86.79/12.34 | | | | | | | | | | | | | (577) all_4_13 = e3 % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | REDUCE: (291), (577) imply: % 86.79/12.34 | | | | | | | | | | | | | (578) $false % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | CLOSE: (578) is inconsistent. % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | (579) all_8_22 = e3 & op(e0, e2) = e3 % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | ALPHA: (579) implies: % 86.79/12.34 | | | | | | | | | | | | | (580) all_8_22 = e3 % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | BETA: splitting (166) gives: % 86.79/12.34 | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | (581) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & % 86.79/12.34 | | | | | | | | | | | | | | op(e3, e2) = e0) % 86.79/12.34 | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | BETA: splitting (581) gives: % 86.79/12.34 | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | (582) all_8_4 = e0 & op(e4, e2) = e0 % 86.79/12.34 | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | ALPHA: (582) implies: % 86.79/12.34 | | | | | | | | | | | | | | | (583) all_8_4 = e0 % 86.79/12.34 | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 86.79/12.34 | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | (584) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & % 86.79/12.34 | | | | | | | | | | | | | | | | op(e3, e2) = e4) % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | BETA: splitting (584) gives: % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | (585) all_8_4 = e4 & op(e4, e2) = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (583), (585) are inconsistent by sub-proof % 86.79/12.34 | | | | | | | | | | | | | | | | | #66. % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | (586) all_8_5 = e4 & op(e3, e2) = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (326), (586) are inconsistent by sub-proof % 86.79/12.34 | | | | | | | | | | | | | | | | | #95. % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | End of split % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | (587) (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | & op(e1, e2) = e4) | (all_8_22 = e4 & op(e0, e2) % 86.79/12.34 | | | | | | | | | | | | | | | | = e4) % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | BETA: splitting (587) gives: % 86.79/12.34 | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | (588) all_8_8 = e4 & op(e2, e2) = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | ALPHA: (588) implies: % 86.79/12.34 | | | | | | | | | | | | | | | | | (589) all_8_8 = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | | (590) op(e2, e2) = e4 % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 86.79/12.34 | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | (591) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 86.79/12.34 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2) % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (247), (583), (591) are inconsistent % 86.79/12.34 | | | | | | | | | | | | | | | | | | by sub-proof #9. % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | (592) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 86.79/12.34 | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | BETA: splitting (592) gives: % 86.79/12.34 | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | (593) all_8_8 = e2 & op(e2, e2) = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (213), (265), (593) are inconsistent by % 86.79/12.34 | | | | | | | | | | | | | | | | | | | sub-proof #102. % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | (594) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (594) gives: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | (595) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies: % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | (596) op(e1, e2) = e2 % 86.79/12.34 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (13), (16), (19), (20), (21), (22), (23), (27), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (28), (29), (32), (34), (35), (37), (38), (40), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (41), (44), (54), (55), (56), (57), (60), (61), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (62), (63), (65), (66), (67), (69), (70), (75), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (76), (77), (78), (79), (81), (82), (83), (84), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (85), (86), (87), (88), (90), (91), (94), (95), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (99), (100), (103), (105), (107), (108), (111), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (114), (115), (142), (143), (144), (145), (146), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (151), (152), (153), (154), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (155), (157), (160), (161), (162), (163), (164), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (166), (167), (169), (170), (172), (173), (175), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (178), (179), (180), (181), (182), (184), (185), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (186), (187), (188), (189), (190), (191), (192), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (199), (200), (201), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (207), (210), (211), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (222), (223), (224), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (239), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (250), (251), (253), (254), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (255), (256), (257), (258), (259), (265), (268), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (270), (271), (273), (275), (276), (277), (278), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (279), (281), (283), (285), (287), (289), (291), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (293), (295), (298), (300), (305), (309), (320), % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (326), (589), (590), (596), (function-axioms) are % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (597) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (580), (597) are inconsistent by sub-proof % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | #8. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | (598) (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_22 = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | & op(e0, e2) = e4) % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | BETA: splitting (598) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | (599) all_8_14 = e4 & op(e1, e2) = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | ALPHA: (599) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | (600) all_8_14 = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | (601) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 86.79/12.35 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (247), (583), (601) are inconsistent % 86.79/12.35 | | | | | | | | | | | | | | | | | | | by sub-proof #9. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | (602) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (602) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (603) all_8_8 = e2 & op(e2, e2) = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (213), (265), (603) are inconsistent by % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (604) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (604) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (605) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (600), (605) are inconsistent by sub-proof % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | #10. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (606) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (580), (606) are inconsistent by sub-proof % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | #8. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | (607) all_8_22 = e4 & op(e0, e2) = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (580), (607) are inconsistent by sub-proof % 86.79/12.35 | | | | | | | | | | | | | | | | | | #7. % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | (608) all_8_5 = e0 & op(e3, e2) = e0 % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | REF_CLOSE: (13), (23), (608), (function-axioms) are % 86.79/12.35 | | | | | | | | | | | | | | | inconsistent by sub-proof #115. % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | (609) (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 % 86.79/12.35 | | | | | | | | | | | | | | & op(e1, e2) = e0) | (all_8_22 = e0 & op(e0, e2) % 86.79/12.35 | | | | | | | | | | | | | | = e0) % 86.79/12.35 | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | BETA: splitting (609) gives: % 86.79/12.35 | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | (610) all_8_8 = e0 & op(e2, e2) = e0 % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | ALPHA: (610) implies: % 86.79/12.35 | | | | | | | | | | | | | | | (611) op(e2, e2) = e0 % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e2, % 86.79/12.35 | | | | | | | | | | | | | | | e2, simplifying with (22), (611) gives: % 86.79/12.35 | | | | | | | | | | | | | | | (612) e3 = e0 % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | REDUCE: (16), (612) imply: % 86.79/12.35 | | | | | | | | | | | | | | | (613) $false % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | CLOSE: (613) is inconsistent. % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | (614) (all_8_14 = e0 & op(e1, e2) = e0) | (all_8_22 = e0 % 86.79/12.35 | | | | | | | | | | | | | | | & op(e0, e2) = e0) % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | BETA: splitting (614) gives: % 86.79/12.35 | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | (615) all_8_14 = e0 & op(e1, e2) = e0 % 86.79/12.35 | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | ALPHA: (615) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | (616) all_8_14 = e0 % 86.79/12.35 | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | (617) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & % 86.79/12.35 | | | | | | | | | | | | | | | | | op(e3, e2) = e4) % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | BETA: splitting (617) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | (618) all_8_4 = e4 & op(e4, e2) = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (17), (19), (44), (57), (143), (167), % 86.79/12.35 | | | | | | | | | | | | | | | | | | (188), (199), (213), (227), (232), (247), (249), % 86.79/12.35 | | | | | | | | | | | | | | | | | | (265), (283), (291), (298), (616), (618) are % 86.79/12.35 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96. % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | (619) all_8_5 = e4 & op(e3, e2) = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | ALPHA: (619) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | (620) all_8_5 = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (620) imply: % 86.79/12.35 | | | | | | | | | | | | | | | | | | (621) e4 = e1 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | SIMP: (621) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | (622) e4 = e1 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | REDUCE: (271), (622) imply: % 86.79/12.35 | | | | | | | | | | | | | | | | | | (623) $false % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | CLOSE: (623) is inconsistent. % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | End of split % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | (624) (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | & op(e1, e2) = e4) | (all_8_22 = e4 & op(e0, e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | = e4) % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | BETA: splitting (624) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | (625) all_8_8 = e4 & op(e2, e2) = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | ALPHA: (625) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | (626) all_8_8 = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | (627) op(e2, e2) = e4 % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | (628) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 86.79/12.35 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (629) all_8_4 = e2 & op(e4, e2) = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (629) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | (630) op(e4, e2) = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (631) ~ (op(e4, e2) = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (630), (631) imply: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (632) $false % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | CLOSE: (632) is inconsistent. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (633) all_6_2 = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (633) imply: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (634) all_4_10 = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (634) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (635) all_4_10 = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (635) imply: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (636) ~ (all_4_13 = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (636) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (637) ~ (all_4_13 = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (635) imply: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (638) ~ (all_4_14 = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (638) implies: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | (639) ~ (all_4_14 = e2) % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | (640) all_6_17 = e3 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (291), (640) are inconsistent by sub-proof % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | #100. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | (641) all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (641) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | (642) all_6_17 = e2 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (637), (642) are inconsistent by sub-proof % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | #99. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | (643) all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (643) gives: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (644) all_6_17 = e1 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (283), (644) are inconsistent by sub-proof % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | #98. % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | (645) all_6_17 = e4 | all_6_17 = e0 % 86.79/12.35 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (645) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (646) all_6_17 = e4 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (646) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_4_13 = e4 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (647) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_4_13 = e4 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (648) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (649) ~ (all_4_14 = e4) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (649) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (650) ~ (all_4_14 = e4) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_6_22 = e3 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (651) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_4_14 = e3 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (293), (652) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (653) $false % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (653) is inconsistent. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (654) ~ (all_6_22 = e3) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (655) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_6_22 = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (656) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_4_14 = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (657) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) $false % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (658) is inconsistent. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (659) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_6_22 = e1 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (660) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_4_14 = e1 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (661) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) $false % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (662) is inconsistent. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) all_6_22 = e4 | all_6_22 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (663) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) all_6_22 = e4 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (664) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_4_14 = e4 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (650), (665) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) $false % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (666) is inconsistent. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) all_6_22 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (667) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_4_14 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (668) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) ~ (all_4_4 = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (668) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) ~ (all_4_9 = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (668) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) ~ (all_4_24 = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (671) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) ~ (all_4_24 = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (293), (668) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) ~ (e3 = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_8_24 = e0 & op(e0, e0) = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) op(e0, e0) = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) ~ (op(e0, e0) = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (675), (676) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) $false % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (677) is inconsistent. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) all_6_24 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (678) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) all_4_24 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (679) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) all_4_24 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (680) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) $false % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (681) is inconsistent. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) ((all_8_16 = e0 & op(e4, e0) = e0) | (all_8_17 = % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e0) = e0) | (all_8_18 = e0 & % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e0) | (all_8_19 = e0 & op(e1, e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)) & ((all_8_20 = e0 & op(e0, e4) = e0) | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_21 = e0 & op(e0, e3) = e0) | (all_8_22 = % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_8_23 = e0 & % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0)) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (682) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) (all_8_20 = e0 & op(e0, e4) = e0) | (all_8_21 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0) | (all_8_22 = e0 & op(e0, e2) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | (all_8_23 = e0 & op(e0, e1) = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (683) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) (all_8_20 = e0 & op(e0, e4) = e0) | (all_8_21 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) all_8_20 = e0 & op(e0, e4) = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) op(e0, e4) = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (191), (669), (686) are inconsistent by % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) all_8_21 = e0 & op(e0, e3) = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (189), (192), (670), (687) are inconsistent by % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) (all_8_22 = e0 & op(e0, e2) = e0) | (all_8_23 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) all_8_22 = e0 & op(e0, e2) = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (689) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) all_8_22 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (690) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) e3 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (691) imply: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) $false % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (692) is inconsistent. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) all_8_23 = e0 & op(e0, e1) = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (303), (693) are inconsistent by sub-proof % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | (694) all_6_17 = e0 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (298), (694) are inconsistent by sub-proof % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | #97. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | (695) all_8_5 = e2 & op(e3, e2) = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | (696) op(e3, e2) = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (247), (696) are inconsistent by sub-proof % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | #108. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.36 | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | (697) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | = e2) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (697) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | (698) all_8_8 = e2 & op(e2, e2) = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (213), (265), (698) are inconsistent by % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | (699) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (699) gives: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | (700) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies: % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | (701) op(e1, e2) = e2 % 86.79/12.36 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (13), (16), (19), (20), (21), (22), (23), (27), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (28), (29), (32), (34), (35), (37), (38), (40), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (41), (44), (54), (55), (56), (57), (60), (61), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (62), (63), (65), (66), (67), (69), (70), (75), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (76), (77), (78), (79), (81), (82), (83), (84), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (85), (86), (87), (88), (90), (91), (94), (95), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (99), (100), (103), (105), (107), (108), (111), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (114), (115), (142), (143), (144), (145), (146), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (147), (148), (149), (151), (152), (153), (154), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (155), (157), (160), (161), (162), (163), (164), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (166), (167), (169), (170), (172), (173), (175), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (178), (179), (180), (181), (182), (184), (185), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (186), (187), (188), (189), (190), (191), (192), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (199), (200), (201), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (207), (210), (211), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (222), (223), (224), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (238), (239), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (243), (244), (245), (246), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (250), (251), (253), (254), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (255), (256), (257), (258), (259), (265), (268), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (270), (271), (273), (275), (276), (277), (278), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (279), (281), (283), (285), (287), (289), (291), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (293), (295), (298), (300), (305), (309), (320), % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (326), (626), (627), (701), (function-axioms) are % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | (702) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (580), (702) are inconsistent by sub-proof % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | #8. % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | (703) (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_22 = e4 % 86.79/12.37 | | | | | | | | | | | | | | | | | | & op(e0, e2) = e4) % 86.79/12.37 | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives: % 86.79/12.37 | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.37 | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | (704) all_8_14 = e4 & op(e1, e2) = e4 % 86.79/12.37 | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (616), (704) are inconsistent by sub-proof % 86.79/12.37 | | | | | | | | | | | | | | | | | | | #29. % 86.79/12.37 | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | (705) all_8_22 = e4 & op(e0, e2) = e4 % 86.79/12.37 | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (580), (705) are inconsistent by sub-proof % 86.79/12.37 | | | | | | | | | | | | | | | | | | | #7. % 86.79/12.37 | | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | (706) all_8_22 = e0 & op(e0, e2) = e0 % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | ALPHA: (706) implies: % 86.79/12.37 | | | | | | | | | | | | | | | | (707) all_8_22 = e0 % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (707) imply: % 86.79/12.37 | | | | | | | | | | | | | | | | (708) e3 = e0 % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | SIMP: (708) implies: % 86.79/12.37 | | | | | | | | | | | | | | | | (709) e3 = e0 % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | REDUCE: (16), (709) imply: % 86.79/12.37 | | | | | | | | | | | | | | | | (710) $false % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | | CLOSE: (710) is inconsistent. % 86.79/12.37 | | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | (711) (all_8_10 = e1 & op(e3, e1) = e1) | (all_8_17 = e1 % 86.79/12.37 | | | | | | | | | | & op(e3, e0) = e1) % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (18), (19), (20), % 86.79/12.37 | | | | | | | | | | (23), (170), (172), (173), (215), (222), (242), % 86.79/12.37 | | | | | | | | | | (247), (281), (287), (309), (711), % 86.79/12.37 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.37 | | | | | | | | | | #5. % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | End of split % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | | (712) all_8_23 = e0 & op(e0, e1) = e0 % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | | REF_CLOSE: (194), (303), (712) are inconsistent by sub-proof % 86.79/12.37 | | | | | | | | #28. % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | End of split % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | End of split % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | End of split % 86.79/12.37 | | | | | % 86.79/12.37 | | | | Case 2: % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | (713) all_8_7 = e3 & op(e2, e3) = e3 % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | ALPHA: (713) implies: % 86.79/12.37 | | | | | (714) op(e2, e3) = e3 % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | BETA: splitting (252) gives: % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | Case 1: % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | (715) ~ (op(e2, e3) = e3) % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | PRED_UNIFY: (714), (715) imply: % 86.79/12.37 | | | | | | (716) $false % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | CLOSE: (716) is inconsistent. % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | Case 2: % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | (717) all_4_7 = e3 % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | REDUCE: (276), (717) imply: % 86.79/12.37 | | | | | | (718) $false % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | CLOSE: (718) is inconsistent. % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | End of split % 86.79/12.37 | | | | | % 86.79/12.37 | | | | End of split % 86.79/12.37 | | | | % 86.79/12.37 | | | Case 2: % 86.79/12.37 | | | | % 86.79/12.37 | | | | (719) (all_8_8 = e3 & op(e2, e2) = e3) | (all_8_11 = e3 & op(e2, e1) % 86.79/12.37 | | | | = e3) | (all_8_18 = e3 & op(e2, e0) = e3) % 86.79/12.37 | | | | % 86.79/12.37 | | | | BETA: splitting (719) gives: % 86.79/12.37 | | | | % 86.79/12.37 | | | | Case 1: % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | (720) all_8_8 = e3 & op(e2, e2) = e3 % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | ALPHA: (720) implies: % 86.79/12.37 | | | | | (721) all_8_8 = e3 % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | BETA: splitting (159) gives: % 86.79/12.37 | | | | | % 86.79/12.37 | | | | | Case 1: % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | (722) (all_8_9 = e0 & op(e4, e1) = e0) | (all_8_10 = e0 & op(e3, % 86.79/12.37 | | | | | | e1) = e0) % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | BETA: splitting (722) gives: % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | Case 1: % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | (723) all_8_9 = e0 & op(e4, e1) = e0 % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | REF_CLOSE: (113), (299), (723), (function-axioms) are inconsistent % 86.79/12.37 | | | | | | | by sub-proof #120. % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | Case 2: % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | (724) all_8_10 = e0 & op(e3, e1) = e0 % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | REF_CLOSE: (108), (300), (724), (function-axioms) are inconsistent % 86.79/12.37 | | | | | | | by sub-proof #119. % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | End of split % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | Case 2: % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | (725) (all_8_11 = e0 & op(e2, e1) = e0) | (all_8_15 = e0 & op(e1, % 86.79/12.37 | | | | | | e1) = e0) | (all_8_23 = e0 & op(e0, e1) = e0) % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | BETA: splitting (725) gives: % 86.79/12.37 | | | | | | % 86.79/12.37 | | | | | | Case 1: % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | (726) all_8_11 = e0 & op(e2, e1) = e0 % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | REF_CLOSE: (103), (301), (726), (function-axioms) are inconsistent % 86.79/12.37 | | | | | | | by sub-proof #118. % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | Case 2: % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | (727) (all_8_15 = e0 & op(e1, e1) = e0) | (all_8_23 = e0 & % 86.79/12.37 | | | | | | | op(e0, e1) = e0) % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | BETA: splitting (727) gives: % 86.79/12.37 | | | | | | | % 86.79/12.37 | | | | | | | Case 1: % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | | (728) all_8_15 = e0 & op(e1, e1) = e0 % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | | ALPHA: (728) implies: % 86.79/12.37 | | | | | | | | (729) all_8_15 = e0 % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | | BETA: splitting (171) gives: % 86.79/12.37 | | | | | | | | % 86.79/12.37 | | | | | | | | Case 1: % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | | (730) (all_8_2 = e1 & op(e3, e4) = e1) | (all_8_3 = e1 & % 86.79/12.37 | | | | | | | | | op(e3, e3) = e1) % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | | BETA: splitting (730) gives: % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | | Case 1: % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | (731) all_8_2 = e1 & op(e3, e4) = e1 % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (18), (19), (20), % 86.79/12.37 | | | | | | | | | | (23), (170), (172), (173), (222), (247), (281), % 86.79/12.37 | | | | | | | | | | (309), (731), (function-axioms) are inconsistent % 86.79/12.37 | | | | | | | | | | by sub-proof #105. % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | (732) all_8_3 = e1 & op(e3, e3) = e1 % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | REF_CLOSE: (24), (271), (732), (function-axioms) are % 86.79/12.37 | | | | | | | | | | inconsistent by sub-proof #104. % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | End of split % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | Case 2: % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | | (733) (all_8_5 = e1 & op(e3, e2) = e1) | (all_8_10 = e1 & % 86.79/12.37 | | | | | | | | | op(e3, e1) = e1) | (all_8_17 = e1 & op(e3, e0) = % 86.79/12.37 | | | | | | | | | e1) % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | | BETA: splitting (733) gives: % 86.79/12.37 | | | | | | | | | % 86.79/12.37 | | | | | | | | | Case 1: % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | (734) all_8_5 = e1 & op(e3, e2) = e1 % 86.79/12.37 | | | | | | | | | | % 86.79/12.37 | | | | | | | | | | ALPHA: (734) implies: % 86.79/12.37 | | | | | | | | | | (735) all_8_5 = e1 % 86.79/12.37 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), % 86.79/12.38 | | | | | | | | | | (13), (14), (15), (16), (17), (19), (20), (21), % 86.79/12.38 | | | | | | | | | | (22), (23), (27), (28), (29), (32), (34), (35), % 86.79/12.38 | | | | | | | | | | (37), (38), (40), (41), (44), (54), (55), (56), % 86.79/12.38 | | | | | | | | | | (57), (60), (61), (62), (63), (65), (66), (67), % 86.79/12.38 | | | | | | | | | | (69), (70), (75), (76), (77), (78), (79), (81), % 86.79/12.38 | | | | | | | | | | (82), (83), (84), (85), (86), (87), (88), (90), % 86.79/12.38 | | | | | | | | | | (91), (94), (95), (99), (100), (103), (105), % 86.79/12.38 | | | | | | | | | | (107), (108), (111), (114), (115), (142), (143), % 86.79/12.38 | | | | | | | | | | (144), (145), (146), (147), (148), (149), (151), % 86.79/12.38 | | | | | | | | | | (152), (153), (154), (155), (157), (160), (161), % 86.79/12.38 | | | | | | | | | | (162), (163), (164), (166), (167), (169), (170), % 86.79/12.38 | | | | | | | | | | (172), (173), (175), (178), (179), (180), (181), % 86.79/12.38 | | | | | | | | | | (182), (184), (185), (186), (187), (188), (189), % 86.79/12.38 | | | | | | | | | | (190), (191), (192), (193), (194), (195), (196), % 86.79/12.38 | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205), % 86.79/12.38 | | | | | | | | | | (207), (210), (211), (212), (213), (214), (215), % 86.79/12.38 | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228), % 86.79/12.38 | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235), % 86.79/12.38 | | | | | | | | | | (236), (238), (239), (240), (241), (242), (243), % 86.79/12.38 | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250), % 86.79/12.38 | | | | | | | | | | (251), (253), (254), (255), (256), (257), (258), % 86.79/12.38 | | | | | | | | | | (259), (265), (268), (270), (271), (273), (275), % 86.79/12.38 | | | | | | | | | | (276), (277), (278), (279), (281), (283), (285), % 86.79/12.38 | | | | | | | | | | (287), (289), (291), (293), (295), (298), (300), % 86.79/12.38 | | | | | | | | | | (305), (309), (721), (729), (735), % 86.79/12.38 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | | | #27. % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | (736) (all_8_10 = e1 & op(e3, e1) = e1) | (all_8_17 = e1 % 86.79/12.38 | | | | | | | | | | & op(e3, e0) = e1) % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (18), (19), (20), % 86.79/12.38 | | | | | | | | | | (23), (170), (172), (173), (215), (222), (242), % 86.79/12.38 | | | | | | | | | | (247), (281), (287), (309), (736), % 86.79/12.38 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | | | #5. % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | End of split % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | End of split % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | (737) all_8_23 = e0 & op(e0, e1) = e0 % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | REF_CLOSE: (194), (303), (737) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | #28. % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | End of split % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | End of split % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | End of split % 86.79/12.38 | | | | | % 86.79/12.38 | | | | Case 2: % 86.79/12.38 | | | | | % 86.79/12.38 | | | | | (738) (all_8_11 = e3 & op(e2, e1) = e3) | (all_8_18 = e3 & op(e2, % 86.79/12.38 | | | | | e0) = e3) % 86.79/12.38 | | | | | % 86.79/12.38 | | | | | BETA: splitting (738) gives: % 86.79/12.38 | | | | | % 86.79/12.38 | | | | | Case 1: % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | (739) all_8_11 = e3 & op(e2, e1) = e3 % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | REF_CLOSE: (103), (295), (739), (function-axioms) are inconsistent % 86.79/12.38 | | | | | | by sub-proof #34. % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | Case 2: % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | (740) all_8_18 = e3 & op(e2, e0) = e3 % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | ALPHA: (740) implies: % 86.79/12.38 | | | | | | (741) op(e2, e0) = e3 % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22, e3, e0, % 86.79/12.38 | | | | | | e2, simplifying with (102), (741) gives: % 86.79/12.38 | | | | | | (742) all_4_22 = e3 % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | REDUCE: (297), (742) imply: % 86.79/12.38 | | | | | | (743) $false % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | CLOSE: (743) is inconsistent. % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | End of split % 86.79/12.38 | | | | | % 86.79/12.38 | | | | End of split % 86.79/12.38 | | | | % 86.79/12.38 | | | End of split % 86.79/12.38 | | | % 86.79/12.38 | | End of split % 86.79/12.38 | | % 86.79/12.38 | Case 2: % 86.79/12.38 | | % 86.79/12.38 | | (744) (all_8_5 = e4 & op(e3, e2) = e4) | (all_8_10 = e4 & op(e3, e1) = % 86.79/12.38 | | e4) | (all_8_17 = e4 & op(e3, e0) = e4) % 86.79/12.38 | | % 86.79/12.38 | | BETA: splitting (744) gives: % 86.79/12.38 | | % 86.79/12.38 | | Case 1: % 86.79/12.38 | | | % 86.79/12.38 | | | (745) all_8_5 = e4 & op(e3, e2) = e4 % 86.79/12.38 | | | % 86.79/12.38 | | | ALPHA: (745) implies: % 86.79/12.38 | | | (746) all_8_5 = e4 % 86.79/12.38 | | | % 86.79/12.38 | | | BETA: splitting (171) gives: % 86.79/12.38 | | | % 86.79/12.38 | | | Case 1: % 86.79/12.38 | | | | % 86.79/12.38 | | | | (747) (all_8_2 = e1 & op(e3, e4) = e1) | (all_8_3 = e1 & op(e3, e3) = % 86.79/12.38 | | | | e1) % 86.79/12.38 | | | | % 86.79/12.38 | | | | BETA: splitting (747) gives: % 86.79/12.38 | | | | % 86.79/12.38 | | | | Case 1: % 86.79/12.38 | | | | | % 86.79/12.38 | | | | | (748) all_8_2 = e1 & op(e3, e4) = e1 % 86.79/12.38 | | | | | % 86.79/12.38 | | | | | ALPHA: (748) implies: % 86.79/12.38 | | | | | (749) all_8_2 = e1 % 86.79/12.38 | | | | | % 86.79/12.38 | | | | | BETA: splitting (170) gives: % 86.79/12.38 | | | | | % 86.79/12.38 | | | | | Case 1: % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | (750) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, % 86.79/12.38 | | | | | | e3) = e0) % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | BETA: splitting (750) gives: % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | Case 1: % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | (751) all_8_2 = e0 & op(e3, e4) = e0 % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | REF_CLOSE: (13), (749), (751) are inconsistent by sub-proof #117. % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | Case 2: % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | (752) all_8_3 = e0 & op(e3, e3) = e0 % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | REF_CLOSE: (18), (24), (752), (function-axioms) are inconsistent % 86.79/12.38 | | | | | | | by sub-proof #4. % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | End of split % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | Case 2: % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | (753) (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, % 86.79/12.38 | | | | | | e1) = e0) | (all_8_17 = e0 & op(e3, e0) = e0) % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | BETA: splitting (753) gives: % 86.79/12.38 | | | | | | % 86.79/12.38 | | | | | | Case 1: % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | (754) all_8_5 = e0 & op(e3, e2) = e0 % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | REF_CLOSE: (13), (23), (754), (function-axioms) are inconsistent % 86.79/12.38 | | | | | | | by sub-proof #115. % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | Case 2: % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | (755) (all_8_10 = e0 & op(e3, e1) = e0) | (all_8_17 = e0 & % 86.79/12.38 | | | | | | | op(e3, e0) = e0) % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | BETA: splitting (755) gives: % 86.79/12.38 | | | | | | | % 86.79/12.38 | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | (756) all_8_10 = e0 & op(e3, e1) = e0 % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | REF_CLOSE: (108), (300), (756), (function-axioms) are % 86.79/12.38 | | | | | | | | inconsistent by sub-proof #119. % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | (757) all_8_17 = e0 & op(e3, e0) = e0 % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | ALPHA: (757) implies: % 86.79/12.38 | | | | | | | | (758) all_8_17 = e0 % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | BETA: splitting (173) gives: % 86.79/12.38 | | | | | | | | % 86.79/12.38 | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | | (759) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & % 86.79/12.38 | | | | | | | | | op(e3, e3) = e3) % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | | BETA: splitting (759) gives: % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | (760) all_8_2 = e3 & op(e3, e4) = e3 % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | REF_CLOSE: (281), (749), (760) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | | | #114. % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | (761) all_8_3 = e3 & op(e3, e3) = e3 % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | ALPHA: (761) implies: % 86.79/12.38 | | | | | | | | | | (762) op(e3, e3) = e3 % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | REF_CLOSE: (20), (221), (261), (762) are inconsistent by % 86.79/12.38 | | | | | | | | | | sub-proof #3. % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | End of split % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | | (763) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & % 86.79/12.38 | | | | | | | | | op(e3, e1) = e3) | (all_8_17 = e3 & op(e3, e0) = % 86.79/12.38 | | | | | | | | | e3) % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | | BETA: splitting (763) gives: % 86.79/12.38 | | | | | | | | | % 86.79/12.38 | | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | (764) all_8_5 = e3 & op(e3, e2) = e3 % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | REF_CLOSE: (222), (281), (764) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | | | #112. % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | (765) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 % 86.79/12.38 | | | | | | | | | | & op(e3, e0) = e3) % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | BETA: splitting (765) gives: % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | (766) all_8_10 = e3 & op(e3, e1) = e3 % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | ALPHA: (766) implies: % 86.79/12.38 | | | | | | | | | | | (767) all_8_10 = e3 % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | BETA: splitting (172) gives: % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | (768) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & % 86.79/12.38 | | | | | | | | | | | | op(e3, e3) = e2) % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | BETA: splitting (768) gives: % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | (769) all_8_2 = e2 & op(e3, e4) = e2 % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | REF_CLOSE: (15), (749), (769) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | | | | | | #110. % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | (770) all_8_3 = e2 & op(e3, e3) = e2 % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | REF_CLOSE: (19), (24), (770), (function-axioms) are % 86.79/12.38 | | | | | | | | | | | | | inconsistent by sub-proof #2. % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | End of split % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | (771) (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 % 86.79/12.38 | | | | | | | | | | | | & op(e3, e1) = e2) | (all_8_17 = e2 & op(e3, e0) % 86.79/12.38 | | | | | | | | | | | | = e2) % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | BETA: splitting (771) gives: % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | (772) all_8_5 = e2 & op(e3, e2) = e2 % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | ALPHA: (772) implies: % 86.79/12.38 | | | | | | | | | | | | | (773) op(e3, e2) = e2 % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | REF_CLOSE: (15), (247), (773) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | | | | | | #108. % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | (774) (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 % 86.79/12.38 | | | | | | | | | | | | | & op(e3, e0) = e2) % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | BETA: splitting (774) gives: % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | Case 1: % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | | (775) all_8_10 = e2 & op(e3, e1) = e2 % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | | REF_CLOSE: (17), (767), (775) are inconsistent by sub-proof % 86.79/12.38 | | | | | | | | | | | | | | #106. % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | | (776) all_8_17 = e2 & op(e3, e0) = e2 % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | | ALPHA: (776) implies: % 86.79/12.38 | | | | | | | | | | | | | | (777) all_8_17 = e2 % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | | COMBINE_EQS: (758), (777) imply: % 86.79/12.38 | | | | | | | | | | | | | | (778) e2 = e0 % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | | REDUCE: (14), (778) imply: % 86.79/12.38 | | | | | | | | | | | | | | (779) $false % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | | CLOSE: (779) is inconsistent. % 86.79/12.38 | | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | | End of split % 86.79/12.38 | | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | | End of split % 86.79/12.38 | | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | End of split % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | Case 2: % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | (780) all_8_17 = e3 & op(e3, e0) = e3 % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | ALPHA: (780) implies: % 86.79/12.38 | | | | | | | | | | | (781) all_8_17 = e3 % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | COMBINE_EQS: (758), (781) imply: % 86.79/12.38 | | | | | | | | | | | (782) e3 = e0 % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | SIMP: (782) implies: % 86.79/12.38 | | | | | | | | | | | (783) e3 = e0 % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | REDUCE: (16), (783) imply: % 86.79/12.38 | | | | | | | | | | | (784) $false % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | | CLOSE: (784) is inconsistent. % 86.79/12.38 | | | | | | | | | | | % 86.79/12.38 | | | | | | | | | | End of split % 86.79/12.38 | | | | | | | | | | % 86.79/12.38 | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | End of split % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | End of split % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | End of split % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | End of split % 86.79/12.39 | | | | | % 86.79/12.39 | | | | Case 2: % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | (785) all_8_3 = e1 & op(e3, e3) = e1 % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | REF_CLOSE: (24), (271), (785), (function-axioms) are inconsistent by % 86.79/12.39 | | | | | sub-proof #104. % 86.79/12.39 | | | | | % 86.79/12.39 | | | | End of split % 86.79/12.39 | | | | % 86.79/12.39 | | | Case 2: % 86.79/12.39 | | | | % 86.79/12.39 | | | | (786) (all_8_5 = e1 & op(e3, e2) = e1) | (all_8_10 = e1 & op(e3, e1) % 86.79/12.39 | | | | = e1) | (all_8_17 = e1 & op(e3, e0) = e1) % 86.79/12.39 | | | | % 86.79/12.39 | | | | BETA: splitting (786) gives: % 86.79/12.39 | | | | % 86.79/12.39 | | | | Case 1: % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | (787) all_8_5 = e1 & op(e3, e2) = e1 % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | ALPHA: (787) implies: % 86.79/12.39 | | | | | (788) all_8_5 = e1 % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | COMBINE_EQS: (746), (788) imply: % 86.79/12.39 | | | | | (789) e4 = e1 % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | REDUCE: (271), (789) imply: % 86.79/12.39 | | | | | (790) $false % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | CLOSE: (790) is inconsistent. % 86.79/12.39 | | | | | % 86.79/12.39 | | | | Case 2: % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | (791) (all_8_10 = e1 & op(e3, e1) = e1) | (all_8_17 = e1 & op(e3, % 86.79/12.39 | | | | | e0) = e1) % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | BETA: splitting (791) gives: % 86.79/12.39 | | | | | % 86.79/12.39 | | | | | Case 1: % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | | (792) all_8_10 = e1 & op(e3, e1) = e1 % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | | REF_CLOSE: (215), (242), (287), (792) are inconsistent by sub-proof % 86.79/12.39 | | | | | | #73. % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | Case 2: % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | | (793) all_8_17 = e1 & op(e3, e0) = e1 % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | | ALPHA: (793) implies: % 86.79/12.39 | | | | | | (794) all_8_17 = e1 % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | | BETA: splitting (170) gives: % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | | Case 1: % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | | (795) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, % 86.79/12.39 | | | | | | | e3) = e0) % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | | BETA: splitting (795) gives: % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | (796) all_8_2 = e0 & op(e3, e4) = e0 % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | ALPHA: (796) implies: % 86.79/12.39 | | | | | | | | (797) all_8_2 = e0 % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | BETA: splitting (173) gives: % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | (798) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & % 86.79/12.39 | | | | | | | | | op(e3, e3) = e3) % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | REF_CLOSE: (16), (20), (221), (261), (797), (798) are % 86.79/12.39 | | | | | | | | | inconsistent by sub-proof #1. % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | (799) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & % 86.79/12.39 | | | | | | | | | op(e3, e1) = e3) | (all_8_17 = e3 & op(e3, e0) = % 86.79/12.39 | | | | | | | | | e3) % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | BETA: splitting (799) gives: % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | (800) all_8_5 = e3 & op(e3, e2) = e3 % 86.79/12.39 | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | REF_CLOSE: (222), (281), (800) are inconsistent by sub-proof % 86.79/12.39 | | | | | | | | | | #112. % 86.79/12.39 | | | | | | | | | | % 86.79/12.39 | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | (801) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 % 86.79/12.39 | | | | | | | | | | & op(e3, e0) = e3) % 86.79/12.39 | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | BETA: splitting (801) gives: % 86.79/12.39 | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | (802) all_8_10 = e3 & op(e3, e1) = e3 % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | ALPHA: (802) implies: % 86.79/12.39 | | | | | | | | | | | (803) op(e3, e1) = e3 % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | BETA: splitting (223) gives: % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | (804) ~ (op(e3, e1) = e3) % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | PRED_UNIFY: (803), (804) imply: % 86.79/12.39 | | | | | | | | | | | | (805) $false % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | CLOSE: (805) is inconsistent. % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | (806) all_4_16 = e3 % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | REDUCE: (34), (806) imply: % 86.79/12.39 | | | | | | | | | | | | (807) ~ (all_4_21 = e3) % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | SIMP: (807) implies: % 86.79/12.39 | | | | | | | | | | | | (808) ~ (all_4_21 = e3) % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | REDUCE: (273), (806) imply: % 86.79/12.39 | | | | | | | | | | | | (809) ~ (e4 = e3) % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | BETA: splitting (172) gives: % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | (810) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & % 86.79/12.39 | | | | | | | | | | | | | op(e3, e3) = e2) % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | BETA: splitting (810) gives: % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | (811) all_8_2 = e2 & op(e3, e4) = e2 % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | REF_CLOSE: (14), (797), (811) are inconsistent by sub-proof % 86.79/12.39 | | | | | | | | | | | | | | #65. % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | (812) all_8_3 = e2 & op(e3, e3) = e2 % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | REF_CLOSE: (19), (24), (812), (function-axioms) are % 86.79/12.39 | | | | | | | | | | | | | | inconsistent by sub-proof #2. % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | (813) (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 % 86.79/12.39 | | | | | | | | | | | | | & op(e3, e1) = e2) | (all_8_17 = e2 & op(e3, e0) % 86.79/12.39 | | | | | | | | | | | | | = e2) % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | BETA: splitting (813) gives: % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | (814) all_8_5 = e2 & op(e3, e2) = e2 % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | ALPHA: (814) implies: % 86.79/12.39 | | | | | | | | | | | | | | (815) op(e3, e2) = e2 % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | REF_CLOSE: (15), (247), (815) are inconsistent by sub-proof % 86.79/12.39 | | | | | | | | | | | | | | #108. % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | (816) (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 % 86.79/12.39 | | | | | | | | | | | | | | & op(e3, e0) = e2) % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | BETA: splitting (816) gives: % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | (817) all_8_10 = e2 & op(e3, e1) = e2 % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | ALPHA: (817) implies: % 86.79/12.39 | | | | | | | | | | | | | | | (818) all_8_10 = e2 % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | BETA: splitting (173) gives: % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | (819) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & % 86.79/12.39 | | | | | | | | | | | | | | | | op(e3, e3) = e3) % 86.79/12.39 | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (221), (261), (797), (819) are % 86.79/12.39 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1. % 86.79/12.39 | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | BETA: splitting (799) gives: % 86.79/12.39 | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | (820) all_8_5 = e3 & op(e3, e2) = e3 % 86.79/12.39 | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | REF_CLOSE: (222), (281), (820) are inconsistent by sub-proof % 86.79/12.39 | | | | | | | | | | | | | | | | | #112. % 86.79/12.39 | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | BETA: splitting (801) gives: % 86.79/12.39 | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | ALPHA: (802) implies: % 86.79/12.39 | | | | | | | | | | | | | | | | | | (821) all_8_10 = e3 % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (818), (821) are inconsistent by sub-proof % 86.79/12.39 | | | | | | | | | | | | | | | | | | #64. % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | (822) all_8_17 = e3 & op(e3, e0) = e3 % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | ALPHA: (822) implies: % 86.79/12.39 | | | | | | | | | | | | | | | | | | (823) op(e3, e0) = e3 % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | | (824) ~ (op(e3, e0) = e3) % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (823), (824) imply: % 86.79/12.39 | | | | | | | | | | | | | | | | | | | (825) $false % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | | CLOSE: (825) is inconsistent. % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | | (826) all_4_21 = e3 % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | | REDUCE: (808), (826) imply: % 86.79/12.39 | | | | | | | | | | | | | | | | | | | (827) $false % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | | CLOSE: (827) is inconsistent. % 86.79/12.39 | | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | (828) all_8_17 = e2 & op(e3, e0) = e2 % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | | REF_CLOSE: (15), (794), (828) are inconsistent by sub-proof % 86.79/12.39 | | | | | | | | | | | | | | | #6. % 86.79/12.39 | | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | (829) all_8_17 = e3 & op(e3, e0) = e3 % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | ALPHA: (829) implies: % 86.79/12.39 | | | | | | | | | | | (830) all_8_17 = e3 % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | COMBINE_EQS: (794), (830) imply: % 86.79/12.39 | | | | | | | | | | | (831) e3 = e1 % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | SIMP: (831) implies: % 86.79/12.39 | | | | | | | | | | | (832) e3 = e1 % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | REDUCE: (281), (832) imply: % 86.79/12.39 | | | | | | | | | | | (833) $false % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | | CLOSE: (833) is inconsistent. % 86.79/12.39 | | | | | | | | | | | % 86.79/12.39 | | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | | % 86.79/12.39 | | | | | | | | | End of split % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | End of split % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | (834) all_8_3 = e0 & op(e3, e3) = e0 % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | REF_CLOSE: (18), (24), (834), (function-axioms) are inconsistent % 86.79/12.39 | | | | | | | | by sub-proof #4. % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | End of split % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | Case 2: % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | | (835) (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & % 86.79/12.39 | | | | | | | op(e3, e1) = e0) | (all_8_17 = e0 & op(e3, e0) = e0) % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | | BETA: splitting (835) gives: % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | (836) all_8_5 = e0 & op(e3, e2) = e0 % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | REF_CLOSE: (13), (23), (836), (function-axioms) are inconsistent % 86.79/12.39 | | | | | | | | by sub-proof #115. % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | (837) (all_8_10 = e0 & op(e3, e1) = e0) | (all_8_17 = e0 & % 86.79/12.39 | | | | | | | | op(e3, e0) = e0) % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | BETA: splitting (837) gives: % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | | Case 1: % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | (838) all_8_10 = e0 & op(e3, e1) = e0 % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | REF_CLOSE: (108), (300), (838), (function-axioms) are % 86.79/12.39 | | | | | | | | | inconsistent by sub-proof #119. % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | Case 2: % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | (839) all_8_17 = e0 & op(e3, e0) = e0 % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | ALPHA: (839) implies: % 86.79/12.39 | | | | | | | | | (840) all_8_17 = e0 % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | COMBINE_EQS: (794), (840) imply: % 86.79/12.39 | | | | | | | | | (841) e1 = e0 % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | SIMP: (841) implies: % 86.79/12.39 | | | | | | | | | (842) e1 = e0 % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | REDUCE: (13), (842) imply: % 86.79/12.39 | | | | | | | | | (843) $false % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | | CLOSE: (843) is inconsistent. % 86.79/12.39 | | | | | | | | | % 86.79/12.39 | | | | | | | | End of split % 86.79/12.39 | | | | | | | | % 86.79/12.39 | | | | | | | End of split % 86.79/12.39 | | | | | | | % 86.79/12.39 | | | | | | End of split % 86.79/12.39 | | | | | | % 86.79/12.39 | | | | | End of split % 86.79/12.39 | | | | | % 86.79/12.39 | | | | End of split % 86.79/12.39 | | | | % 86.79/12.39 | | | End of split % 86.79/12.39 | | | % 86.79/12.39 | | Case 2: % 86.79/12.39 | | | % 86.79/12.39 | | | (844) (all_8_10 = e4 & op(e3, e1) = e4) | (all_8_17 = e4 & op(e3, e0) = % 86.79/12.39 | | | e4) % 86.79/12.39 | | | % 86.79/12.39 | | | BETA: splitting (844) gives: % 86.79/12.39 | | | % 86.79/12.39 | | | Case 1: % 86.79/12.39 | | | | % 86.79/12.40 | | | | (845) all_8_10 = e4 & op(e3, e1) = e4 % 86.79/12.40 | | | | % 86.79/12.40 | | | | ALPHA: (845) implies: % 86.79/12.40 | | | | (846) op(e3, e1) = e4 % 86.79/12.40 | | | | % 86.79/12.40 | | | | GROUND_INST: instantiating (function-axioms) with all_4_16, e4, e1, e3, % 86.79/12.40 | | | | simplifying with (108), (846) gives: % 86.79/12.40 | | | | (847) all_4_16 = e4 % 86.79/12.40 | | | | % 86.79/12.40 | | | | REDUCE: (273), (847) imply: % 86.79/12.40 | | | | (848) $false % 86.79/12.40 | | | | % 86.79/12.40 | | | | CLOSE: (848) is inconsistent. % 86.79/12.40 | | | | % 86.79/12.40 | | | Case 2: % 86.79/12.40 | | | | % 86.79/12.40 | | | | (849) all_8_17 = e4 & op(e3, e0) = e4 % 86.79/12.40 | | | | % 86.79/12.40 | | | | ALPHA: (849) implies: % 86.79/12.40 | | | | (850) all_8_17 = e4 % 86.79/12.40 | | | | % 86.79/12.40 | | | | BETA: splitting (170) gives: % 86.79/12.40 | | | | % 86.79/12.40 | | | | Case 1: % 86.79/12.40 | | | | | % 86.79/12.40 | | | | | (851) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) % 86.79/12.40 | | | | | = e0) % 86.79/12.40 | | | | | % 86.79/12.40 | | | | | BETA: splitting (851) gives: % 86.79/12.40 | | | | | % 86.79/12.40 | | | | | Case 1: % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | (852) all_8_2 = e0 & op(e3, e4) = e0 % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | ALPHA: (852) implies: % 86.79/12.40 | | | | | | (853) all_8_2 = e0 % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | BETA: splitting (172) gives: % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | Case 1: % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | (854) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, % 86.79/12.40 | | | | | | | e3) = e2) % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | BETA: splitting (854) gives: % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | Case 1: % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | (855) all_8_2 = e2 & op(e3, e4) = e2 % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | REF_CLOSE: (14), (853), (855) are inconsistent by sub-proof #65. % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | Case 2: % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | (856) all_8_3 = e2 & op(e3, e3) = e2 % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | REF_CLOSE: (19), (24), (856), (function-axioms) are inconsistent % 86.79/12.40 | | | | | | | | by sub-proof #2. % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | End of split % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | Case 2: % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | (857) (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & % 86.79/12.40 | | | | | | | op(e3, e1) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | BETA: splitting (857) gives: % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | Case 1: % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | (858) all_8_5 = e2 & op(e3, e2) = e2 % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | ALPHA: (858) implies: % 86.79/12.40 | | | | | | | | (859) op(e3, e2) = e2 % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | REF_CLOSE: (15), (247), (859) are inconsistent by sub-proof % 86.79/12.40 | | | | | | | | #108. % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | Case 2: % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | (860) (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 & % 86.79/12.40 | | | | | | | | op(e3, e0) = e2) % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | BETA: splitting (860) gives: % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | | Case 1: % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | (861) all_8_10 = e2 & op(e3, e1) = e2 % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | ALPHA: (861) implies: % 86.79/12.40 | | | | | | | | | (862) all_8_10 = e2 % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | BETA: splitting (173) gives: % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | Case 1: % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | (863) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & % 86.79/12.40 | | | | | | | | | | op(e3, e3) = e3) % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | BETA: splitting (863) gives: % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | Case 1: % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | (864) all_8_2 = e3 & op(e3, e4) = e3 % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | REF_CLOSE: (16), (853), (864) are inconsistent by sub-proof % 86.79/12.40 | | | | | | | | | | | #76. % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | Case 2: % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | (865) all_8_3 = e3 & op(e3, e3) = e3 % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | ALPHA: (865) implies: % 86.79/12.40 | | | | | | | | | | | (866) op(e3, e3) = e3 % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | REF_CLOSE: (20), (221), (261), (866) are inconsistent by % 86.79/12.40 | | | | | | | | | | | sub-proof #3. % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | End of split % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | Case 2: % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | (867) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & % 86.79/12.40 | | | | | | | | | | op(e3, e1) = e3) | (all_8_17 = e3 & op(e3, e0) = % 86.79/12.40 | | | | | | | | | | e3) % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | BETA: splitting (867) gives: % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | Case 1: % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | (868) all_8_5 = e3 & op(e3, e2) = e3 % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | REF_CLOSE: (222), (281), (868) are inconsistent by sub-proof % 86.79/12.40 | | | | | | | | | | | #112. % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | Case 2: % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | (869) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 % 86.79/12.40 | | | | | | | | | | | & op(e3, e0) = e3) % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | BETA: splitting (869) gives: % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | Case 1: % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | (870) all_8_10 = e3 & op(e3, e1) = e3 % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | ALPHA: (870) implies: % 86.79/12.40 | | | | | | | | | | | | (871) all_8_10 = e3 % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | COMBINE_EQS: (862), (871) imply: % 86.79/12.40 | | | | | | | | | | | | (872) e3 = e2 % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | REDUCE: (17), (872) imply: % 86.79/12.40 | | | | | | | | | | | | (873) $false % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | CLOSE: (873) is inconsistent. % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | Case 2: % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | (874) all_8_17 = e3 & op(e3, e0) = e3 % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | ALPHA: (874) implies: % 86.79/12.40 | | | | | | | | | | | | (875) all_8_17 = e3 % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | COMBINE_EQS: (850), (875) imply: % 86.79/12.40 | | | | | | | | | | | | (876) e4 = e3 % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | REDUCE: (20), (876) imply: % 86.79/12.40 | | | | | | | | | | | | (877) $false % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | | CLOSE: (877) is inconsistent. % 86.79/12.40 | | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | | End of split % 86.79/12.40 | | | | | | | | | | | % 86.79/12.40 | | | | | | | | | | End of split % 86.79/12.40 | | | | | | | | | | % 86.79/12.40 | | | | | | | | | End of split % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | Case 2: % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | (878) all_8_17 = e2 & op(e3, e0) = e2 % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | ALPHA: (878) implies: % 86.79/12.40 | | | | | | | | | (879) all_8_17 = e2 % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | COMBINE_EQS: (850), (879) imply: % 86.79/12.40 | | | | | | | | | (880) e4 = e2 % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | SIMP: (880) implies: % 86.79/12.40 | | | | | | | | | (881) e4 = e2 % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | REDUCE: (19), (881) imply: % 86.79/12.40 | | | | | | | | | (882) $false % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | | CLOSE: (882) is inconsistent. % 86.79/12.40 | | | | | | | | | % 86.79/12.40 | | | | | | | | End of split % 86.79/12.40 | | | | | | | | % 86.79/12.40 | | | | | | | End of split % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | End of split % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | Case 2: % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | (883) all_8_3 = e0 & op(e3, e3) = e0 % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | REF_CLOSE: (18), (24), (883), (function-axioms) are inconsistent by % 86.79/12.40 | | | | | | sub-proof #4. % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | End of split % 86.79/12.40 | | | | | % 86.79/12.40 | | | | Case 2: % 86.79/12.40 | | | | | % 86.79/12.40 | | | | | (884) (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, % 86.79/12.40 | | | | | e1) = e0) | (all_8_17 = e0 & op(e3, e0) = e0) % 86.79/12.40 | | | | | % 86.79/12.40 | | | | | BETA: splitting (884) gives: % 86.79/12.40 | | | | | % 86.79/12.40 | | | | | Case 1: % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | (885) all_8_5 = e0 & op(e3, e2) = e0 % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | REF_CLOSE: (13), (23), (885), (function-axioms) are inconsistent by % 86.79/12.40 | | | | | | sub-proof #115. % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | Case 2: % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | (886) (all_8_10 = e0 & op(e3, e1) = e0) | (all_8_17 = e0 & op(e3, % 86.79/12.40 | | | | | | e0) = e0) % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | BETA: splitting (886) gives: % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | | Case 1: % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | (887) all_8_10 = e0 & op(e3, e1) = e0 % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | REF_CLOSE: (108), (300), (887), (function-axioms) are inconsistent % 86.79/12.40 | | | | | | | by sub-proof #119. % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | Case 2: % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | (888) all_8_17 = e0 & op(e3, e0) = e0 % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | ALPHA: (888) implies: % 86.79/12.40 | | | | | | | (889) all_8_17 = e0 % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | COMBINE_EQS: (850), (889) imply: % 86.79/12.40 | | | | | | | (890) e4 = e0 % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | REDUCE: (18), (890) imply: % 86.79/12.40 | | | | | | | (891) $false % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | | CLOSE: (891) is inconsistent. % 86.79/12.40 | | | | | | | % 86.79/12.40 | | | | | | End of split % 86.79/12.40 | | | | | | % 86.79/12.40 | | | | | End of split % 86.79/12.40 | | | | | % 86.79/12.40 | | | | End of split % 86.79/12.40 | | | | % 86.79/12.40 | | | End of split % 86.79/12.40 | | | % 86.79/12.40 | | End of split % 86.79/12.40 | | % 86.79/12.40 | End of split % 86.79/12.40 | % 86.79/12.40 End of proof % 86.79/12.40 % 86.79/12.40 Sub-proof #1 shows that the following formulas are inconsistent: % 86.79/12.40 ---------------------------------------------------------------- % 86.79/12.40 (1) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) % 86.79/12.40 (2) ~ (e4 = e3) % 86.79/12.40 (3) all_4_6 = e3 | ~ (op(e3, e3) = e3) % 86.79/12.40 (4) ~ (e3 = e0) % 86.79/12.40 (5) all_4_6 = e4 % 86.79/12.40 (6) all_8_2 = e0 % 86.79/12.40 % 86.79/12.40 Begin of proof % 86.79/12.40 | % 86.79/12.40 | BETA: splitting (1) gives: % 86.79/12.40 | % 86.79/12.40 | Case 1: % 86.79/12.40 | | % 86.79/12.40 | | (7) all_8_2 = e3 & op(e3, e4) = e3 % 86.79/12.40 | | % 86.79/12.40 | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #76. % 86.79/12.40 | | % 86.79/12.40 | Case 2: % 86.79/12.40 | | % 86.79/12.40 | | (8) all_8_3 = e3 & op(e3, e3) = e3 % 86.79/12.40 | | % 86.79/12.40 | | ALPHA: (8) implies: % 86.79/12.40 | | (9) op(e3, e3) = e3 % 86.79/12.40 | | % 86.79/12.40 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #3. % 86.79/12.40 | | % 86.79/12.40 | End of split % 86.79/12.40 | % 86.79/12.40 End of proof % 86.79/12.40 % 86.79/12.40 Sub-proof #2 shows that the following formulas are inconsistent: % 86.79/12.40 ---------------------------------------------------------------- % 86.79/12.40 (1) all_8_3 = e2 & op(e3, e3) = e2 % 86.79/12.40 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 86.79/12.40 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 86.79/12.40 (3) op(e3, e3) = e4 % 86.79/12.40 (4) ~ (e4 = e2) % 86.79/12.40 % 86.79/12.40 Begin of proof % 86.79/12.40 | % 86.79/12.40 | ALPHA: (1) implies: % 86.79/12.40 | (5) op(e3, e3) = e2 % 86.79/12.40 | % 86.79/12.40 | GROUND_INST: instantiating (2) with e4, e2, e3, e3, simplifying with (3), (5) % 86.79/12.40 | gives: % 86.79/12.40 | (6) e4 = e2 % 86.79/12.40 | % 86.79/12.40 | REDUCE: (4), (6) imply: % 86.79/12.40 | (7) $false % 86.79/12.40 | % 86.79/12.40 | CLOSE: (7) is inconsistent. % 86.79/12.40 | % 86.79/12.40 End of proof % 86.79/12.40 % 86.79/12.40 Sub-proof #3 shows that the following formulas are inconsistent: % 86.79/12.40 ---------------------------------------------------------------- % 86.79/12.40 (1) all_4_6 = e3 | ~ (op(e3, e3) = e3) % 86.79/12.40 (2) op(e3, e3) = e3 % 86.79/12.40 (3) all_4_6 = e4 % 86.79/12.40 (4) ~ (e4 = e3) % 86.79/12.40 % 86.79/12.40 Begin of proof % 86.79/12.40 | % 86.79/12.40 | BETA: splitting (1) gives: % 86.79/12.40 | % 86.79/12.40 | Case 1: % 86.79/12.40 | | % 86.79/12.40 | | (5) ~ (op(e3, e3) = e3) % 86.79/12.41 | | % 86.79/12.41 | | PRED_UNIFY: (2), (5) imply: % 86.79/12.41 | | (6) $false % 86.79/12.41 | | % 86.79/12.41 | | CLOSE: (6) is inconsistent. % 86.79/12.41 | | % 86.79/12.41 | Case 2: % 86.79/12.41 | | % 86.79/12.41 | | (7) all_4_6 = e3 % 86.79/12.41 | | % 86.79/12.41 | | COMBINE_EQS: (3), (7) imply: % 86.79/12.41 | | (8) e4 = e3 % 86.79/12.41 | | % 86.79/12.41 | | SIMP: (8) implies: % 86.79/12.41 | | (9) e4 = e3 % 86.79/12.41 | | % 86.79/12.41 | | REDUCE: (4), (9) imply: % 86.79/12.41 | | (10) $false % 86.79/12.41 | | % 86.79/12.41 | | CLOSE: (10) is inconsistent. % 86.79/12.41 | | % 86.79/12.41 | End of split % 86.79/12.41 | % 86.79/12.41 End of proof % 86.79/12.41 % 86.79/12.41 Sub-proof #4 shows that the following formulas are inconsistent: % 86.79/12.41 ---------------------------------------------------------------- % 86.79/12.41 (1) all_8_3 = e0 & op(e3, e3) = e0 % 86.79/12.41 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 86.79/12.41 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 86.79/12.41 (3) op(e3, e3) = e4 % 86.79/12.41 (4) ~ (e4 = e0) % 86.79/12.41 % 86.79/12.41 Begin of proof % 86.79/12.41 | % 86.79/12.41 | ALPHA: (1) implies: % 86.79/12.41 | (5) op(e3, e3) = e0 % 86.79/12.41 | % 86.79/12.41 | GROUND_INST: instantiating (2) with e4, e0, e3, e3, simplifying with (3), (5) % 86.79/12.41 | gives: % 86.79/12.41 | (6) e4 = e0 % 86.79/12.41 | % 86.79/12.41 | REDUCE: (4), (6) imply: % 86.79/12.41 | (7) $false % 86.79/12.41 | % 86.79/12.41 | CLOSE: (7) is inconsistent. % 86.79/12.41 | % 86.79/12.41 End of proof % 86.79/12.41 % 86.79/12.41 Sub-proof #5 shows that the following formulas are inconsistent: % 86.79/12.41 ---------------------------------------------------------------- % 86.79/12.41 (1) ~ (e4 = e0) % 86.79/12.41 (2) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 86.79/12.41 (3) (all_8_10 = e1 & op(e3, e1) = e1) | (all_8_17 = e1 & op(e3, e0) = e1) % 86.79/12.41 (4) ~ (e3 = e1) % 86.79/12.41 (5) ~ (e2 = e0) % 86.79/12.41 (6) all_8_3 = e4 % 86.79/12.41 (7) ~ (e2 = e1) % 86.79/12.41 (8) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 86.79/12.41 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 86.79/12.41 (all_8_17 = e3 & op(e3, e0) = e3) % 86.79/12.41 (9) e2 = e1 | ~ (op(e3, e2) = e2) % 86.79/12.41 (10) op(e3, e2) = e1 % 86.79/12.41 (11) ~ (e4 = e3) % 86.79/12.41 (12) ~ (e1 = e0) % 86.79/12.41 (13) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 86.79/12.41 (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) | % 86.79/12.41 (all_8_17 = e0 & op(e3, e0) = e0) % 86.79/12.41 (14) ~ (e3 = e0) % 86.79/12.41 (15) all_6_8 = all_4_16 % 86.79/12.41 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 86.79/12.41 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 86.79/12.41 (17) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 86.79/12.41 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 86.79/12.41 (all_8_17 = e2 & op(e3, e0) = e2) % 86.79/12.41 (18) e3 = e1 | ~ (op(e3, e2) = e3) % 86.79/12.41 (19) ~ (all_4_16 = e1) % 86.79/12.41 (20) ~ (e3 = e2) % 86.79/12.41 (21) ~ (e4 = e2) % 86.79/12.41 % 86.79/12.41 Begin of proof % 86.79/12.41 | % 86.79/12.41 | BETA: splitting (3) gives: % 86.79/12.41 | % 86.79/12.41 | Case 1: % 86.79/12.41 | | % 86.79/12.41 | | (22) all_8_10 = e1 & op(e3, e1) = e1 % 86.79/12.41 | | % 86.79/12.41 | | REF_CLOSE: (2), (15), (19), (22) are inconsistent by sub-proof #73. % 86.79/12.41 | | % 86.79/12.41 | Case 2: % 86.79/12.41 | | % 86.79/12.41 | | (23) all_8_17 = e1 & op(e3, e0) = e1 % 86.79/12.41 | | % 86.79/12.41 | | ALPHA: (23) implies: % 86.79/12.41 | | (24) all_8_17 = e1 % 86.79/12.41 | | % 86.79/12.41 | | BETA: splitting (13) gives: % 86.79/12.41 | | % 86.79/12.41 | | Case 1: % 86.79/12.41 | | | % 86.79/12.41 | | | (25) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = % 86.79/12.41 | | | e0) % 86.79/12.41 | | | % 86.79/12.41 | | | BETA: splitting (25) gives: % 86.79/12.41 | | | % 86.79/12.41 | | | Case 1: % 86.79/12.41 | | | | % 86.79/12.41 | | | | (26) all_8_2 = e0 & op(e3, e4) = e0 % 86.79/12.41 | | | | % 86.79/12.41 | | | | ALPHA: (26) implies: % 86.79/12.41 | | | | (27) all_8_2 = e0 % 86.79/12.41 | | | | % 86.79/12.41 | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (11), (14), (17), (18), (20), % 86.79/12.41 | | | | (21), (24), (27) are inconsistent by sub-proof #62. % 86.79/12.41 | | | | % 86.79/12.41 | | | Case 2: % 86.79/12.41 | | | | % 86.79/12.41 | | | | (28) all_8_3 = e0 & op(e3, e3) = e0 % 86.79/12.41 | | | | % 86.79/12.41 | | | | REF_CLOSE: (1), (6), (28) are inconsistent by sub-proof #116. % 86.79/12.41 | | | | % 86.79/12.41 | | | End of split % 86.79/12.41 | | | % 86.79/12.41 | | Case 2: % 86.79/12.41 | | | % 86.79/12.41 | | | (29) (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = % 86.79/12.41 | | | e0) | (all_8_17 = e0 & op(e3, e0) = e0) % 86.79/12.41 | | | % 86.79/12.41 | | | BETA: splitting (29) gives: % 86.79/12.41 | | | % 86.79/12.41 | | | Case 1: % 86.79/12.41 | | | | % 86.79/12.41 | | | | (30) all_8_5 = e0 & op(e3, e2) = e0 % 86.79/12.41 | | | | % 86.79/12.41 | | | | REF_CLOSE: (10), (12), (16), (30) are inconsistent by sub-proof #115. % 86.79/12.41 | | | | % 86.79/12.41 | | | Case 2: % 86.79/12.41 | | | | % 86.79/12.41 | | | | (31) (all_8_10 = e0 & op(e3, e1) = e0) | (all_8_17 = e0 & op(e3, e0) % 86.79/12.41 | | | | = e0) % 86.79/12.41 | | | | % 86.79/12.41 | | | | BETA: splitting (31) gives: % 86.79/12.41 | | | | % 86.79/12.41 | | | | Case 1: % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | (32) all_8_10 = e0 & op(e3, e1) = e0 % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | ALPHA: (32) implies: % 86.79/12.41 | | | | | (33) all_8_10 = e0 % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | BETA: splitting (8) gives: % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | Case 1: % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | | (34) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, % 86.79/12.41 | | | | | | e3) = e3) % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | | BETA: splitting (34) gives: % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | | Case 1: % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | (35) all_8_2 = e3 & op(e3, e4) = e3 % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | ALPHA: (35) implies: % 86.79/12.41 | | | | | | | (36) all_8_2 = e3 % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | BETA: splitting (17) gives: % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | Case 1: % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | (37) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & % 86.79/12.41 | | | | | | | | op(e3, e3) = e2) % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | BETA: splitting (37) gives: % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | Case 1: % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | (38) all_8_2 = e2 & op(e3, e4) = e2 % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | ALPHA: (38) implies: % 86.79/12.41 | | | | | | | | | (39) all_8_2 = e2 % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | COMBINE_EQS: (36), (39) imply: % 86.79/12.41 | | | | | | | | | (40) e3 = e2 % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | REDUCE: (20), (40) imply: % 86.79/12.41 | | | | | | | | | (41) $false % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | CLOSE: (41) is inconsistent. % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | Case 2: % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | (42) all_8_3 = e2 & op(e3, e3) = e2 % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | REF_CLOSE: (6), (21), (42) are inconsistent by sub-proof #109. % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | End of split % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | Case 2: % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | (43) (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & % 86.79/12.41 | | | | | | | | op(e3, e1) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | BETA: splitting (43) gives: % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | Case 1: % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | (44) all_8_5 = e2 & op(e3, e2) = e2 % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | ALPHA: (44) implies: % 86.79/12.41 | | | | | | | | | (45) op(e3, e2) = e2 % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | REF_CLOSE: (7), (9), (45) are inconsistent by sub-proof #108. % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | Case 2: % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | (46) (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 & % 86.79/12.41 | | | | | | | | | op(e3, e0) = e2) % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | BETA: splitting (46) gives: % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | | Case 1: % 86.79/12.41 | | | | | | | | | | % 86.79/12.41 | | | | | | | | | | (47) all_8_10 = e2 & op(e3, e1) = e2 % 86.79/12.41 | | | | | | | | | | % 86.79/12.41 | | | | | | | | | | REF_CLOSE: (5), (33), (47) are inconsistent by sub-proof % 86.79/12.41 | | | | | | | | | | #107. % 86.79/12.41 | | | | | | | | | | % 86.79/12.41 | | | | | | | | | Case 2: % 86.79/12.41 | | | | | | | | | | % 86.79/12.41 | | | | | | | | | | (48) all_8_17 = e2 & op(e3, e0) = e2 % 86.79/12.41 | | | | | | | | | | % 86.79/12.41 | | | | | | | | | | REF_CLOSE: (7), (24), (48) are inconsistent by sub-proof #6. % 86.79/12.41 | | | | | | | | | | % 86.79/12.41 | | | | | | | | | End of split % 86.79/12.41 | | | | | | | | | % 86.79/12.41 | | | | | | | | End of split % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | End of split % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | Case 2: % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | (49) all_8_3 = e3 & op(e3, e3) = e3 % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | REF_CLOSE: (6), (11), (49) are inconsistent by sub-proof #113. % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | End of split % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | Case 2: % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | | (50) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, % 86.79/12.41 | | | | | | e1) = e3) | (all_8_17 = e3 & op(e3, e0) = e3) % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | | BETA: splitting (50) gives: % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | | Case 1: % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | (51) all_8_5 = e3 & op(e3, e2) = e3 % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | REF_CLOSE: (4), (18), (51) are inconsistent by sub-proof #112. % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | Case 2: % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | (52) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 & % 86.79/12.41 | | | | | | | op(e3, e0) = e3) % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | BETA: splitting (52) gives: % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | | Case 1: % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | (53) all_8_10 = e3 & op(e3, e1) = e3 % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | REF_CLOSE: (14), (33), (53) are inconsistent by sub-proof #111. % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | Case 2: % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | (54) all_8_17 = e3 & op(e3, e0) = e3 % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | | REF_CLOSE: (4), (24), (54) are inconsistent by sub-proof #63. % 86.79/12.41 | | | | | | | | % 86.79/12.41 | | | | | | | End of split % 86.79/12.41 | | | | | | | % 86.79/12.41 | | | | | | End of split % 86.79/12.41 | | | | | | % 86.79/12.41 | | | | | End of split % 86.79/12.41 | | | | | % 86.79/12.41 | | | | Case 2: % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | (55) all_8_17 = e0 & op(e3, e0) = e0 % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | ALPHA: (55) implies: % 86.79/12.41 | | | | | (56) all_8_17 = e0 % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | COMBINE_EQS: (24), (56) imply: % 86.79/12.41 | | | | | (57) e1 = e0 % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | REDUCE: (12), (57) imply: % 86.79/12.41 | | | | | (58) $false % 86.79/12.41 | | | | | % 86.79/12.41 | | | | | CLOSE: (58) is inconsistent. % 86.79/12.41 | | | | | % 86.79/12.41 | | | | End of split % 86.79/12.41 | | | | % 86.79/12.41 | | | End of split % 86.79/12.41 | | | % 86.79/12.41 | | End of split % 86.79/12.41 | | % 86.79/12.41 | End of split % 86.79/12.41 | % 86.79/12.41 End of proof % 86.79/12.41 % 86.79/12.41 Sub-proof #6 shows that the following formulas are inconsistent: % 86.79/12.41 ---------------------------------------------------------------- % 86.79/12.41 (1) all_8_17 = e2 & op(e3, e0) = e2 % 86.79/12.41 (2) all_8_17 = e1 % 86.79/12.41 (3) ~ (e2 = e1) % 86.79/12.41 % 86.79/12.41 Begin of proof % 86.79/12.41 | % 86.79/12.41 | ALPHA: (1) implies: % 86.79/12.41 | (4) all_8_17 = e2 % 86.79/12.41 | % 86.79/12.41 | COMBINE_EQS: (2), (4) imply: % 86.79/12.41 | (5) e2 = e1 % 86.79/12.41 | % 86.79/12.41 | REDUCE: (3), (5) imply: % 86.79/12.41 | (6) $false % 86.79/12.41 | % 86.79/12.41 | CLOSE: (6) is inconsistent. % 86.79/12.41 | % 86.79/12.41 End of proof % 86.79/12.41 % 86.79/12.41 Sub-proof #7 shows that the following formulas are inconsistent: % 86.79/12.41 ---------------------------------------------------------------- % 86.79/12.41 (1) all_8_22 = e4 & op(e0, e2) = e4 % 86.79/12.41 (2) all_8_22 = e3 % 86.79/12.41 (3) ~ (e4 = e3) % 86.79/12.41 % 86.79/12.41 Begin of proof % 86.79/12.41 | % 86.79/12.41 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_22 = e4 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e4 = e3 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (5) imply: % 86.79/12.42 | (6) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (6) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #8 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.42 (2) all_8_22 = e3 % 86.79/12.42 (3) ~ (e3 = e2) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_22 = e2 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e3 = e2 % 86.79/12.42 | % 86.79/12.42 | SIMP: (5) implies: % 86.79/12.42 | (6) e3 = e2 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (6) imply: % 86.79/12.42 | (7) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (7) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #9 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_4 = e0 % 86.79/12.42 (2) ~ (e2 = e0) % 86.79/12.42 (3) ~ (e2 = e1) % 86.79/12.42 (4) e2 = e1 | ~ (op(e3, e2) = e2) % 86.79/12.42 (5) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | BETA: splitting (5) gives: % 86.79/12.42 | % 86.79/12.42 | Case 1: % 86.79/12.42 | | % 86.79/12.42 | | (6) all_8_4 = e2 & op(e4, e2) = e2 % 86.79/12.42 | | % 86.79/12.42 | | ALPHA: (6) implies: % 86.79/12.42 | | (7) all_8_4 = e2 % 86.79/12.42 | | % 86.79/12.42 | | COMBINE_EQS: (1), (7) imply: % 86.79/12.42 | | (8) e2 = e0 % 86.79/12.42 | | % 86.79/12.42 | | SIMP: (8) implies: % 86.79/12.42 | | (9) e2 = e0 % 86.79/12.42 | | % 86.79/12.42 | | REDUCE: (2), (9) imply: % 86.79/12.42 | | (10) $false % 86.79/12.42 | | % 86.79/12.42 | | CLOSE: (10) is inconsistent. % 86.79/12.42 | | % 86.79/12.42 | Case 2: % 86.79/12.42 | | % 86.79/12.42 | | (11) all_8_5 = e2 & op(e3, e2) = e2 % 86.79/12.42 | | % 86.79/12.42 | | ALPHA: (11) implies: % 86.79/12.42 | | (12) op(e3, e2) = e2 % 86.79/12.42 | | % 86.79/12.42 | | REF_CLOSE: (3), (4), (12) are inconsistent by sub-proof #108. % 86.79/12.42 | | % 86.79/12.42 | End of split % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #10 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_14 = e2 & op(e1, e2) = e2 % 86.79/12.42 (2) all_8_14 = e4 % 86.79/12.42 (3) ~ (e4 = e2) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_14 = e2 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e4 = e2 % 86.79/12.42 | % 86.79/12.42 | SIMP: (5) implies: % 86.79/12.42 | (6) e4 = e2 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (6) imply: % 86.79/12.42 | (7) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (7) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #11 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_22 = e2 & op(e0, e2) = e2 % 86.79/12.42 (2) all_8_22 = e0 % 86.79/12.42 (3) ~ (e2 = e0) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_22 = e2 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e2 = e0 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (5) imply: % 86.79/12.42 | (6) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (6) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #12 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_4_20 = e0 | ~ (op(e4, e0) = e0) % 86.79/12.42 (2) op(e4, e0) = e0 % 86.79/12.42 (3) ~ (all_4_20 = e0) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | BETA: splitting (1) gives: % 86.79/12.42 | % 86.79/12.42 | Case 1: % 86.79/12.42 | | % 86.79/12.42 | | (4) ~ (op(e4, e0) = e0) % 86.79/12.42 | | % 86.79/12.42 | | PRED_UNIFY: (2), (4) imply: % 86.79/12.42 | | (5) $false % 86.79/12.42 | | % 86.79/12.42 | | CLOSE: (5) is inconsistent. % 86.79/12.42 | | % 86.79/12.42 | Case 2: % 86.79/12.42 | | % 86.79/12.42 | | (6) all_4_20 = e0 % 86.79/12.42 | | % 86.79/12.42 | | REDUCE: (3), (6) imply: % 86.79/12.42 | | (7) $false % 86.79/12.42 | | % 86.79/12.42 | | CLOSE: (7) is inconsistent. % 86.79/12.42 | | % 86.79/12.42 | End of split % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #13 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_1 = e0 & op(e4, e3) = e0 % 86.79/12.42 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 86.79/12.42 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 86.79/12.42 (3) op(e4, e3) = all_4_5 % 86.79/12.42 (4) ~ (all_4_5 = e0) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (5) op(e4, e3) = e0 % 86.79/12.42 | % 86.79/12.42 | GROUND_INST: instantiating (2) with all_4_5, e0, e3, e4, simplifying with (3), % 86.79/12.42 | (5) gives: % 86.79/12.42 | (6) all_4_5 = e0 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (4), (6) imply: % 86.79/12.42 | (7) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (7) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #14 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_20 = e1 & op(e0, e4) = e1 % 86.79/12.42 (2) all_8_20 = e4 % 86.79/12.42 (3) ~ (e4 = e1) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_20 = e1 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e4 = e1 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (5) imply: % 86.79/12.42 | (6) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (6) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #15 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_12 = e3 & op(e1, e4) = e3 % 86.79/12.42 (2) all_8_12 = e1 % 86.79/12.42 (3) ~ (e3 = e1) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_12 = e3 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e3 = e1 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (5) imply: % 86.79/12.42 | (6) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (6) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #16 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_15 = e2 & op(e1, e1) = e2 % 86.79/12.42 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 86.79/12.42 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 86.79/12.42 (3) op(e1, e1) = e0 % 86.79/12.42 (4) ~ (e2 = e0) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (5) op(e1, e1) = e2 % 86.79/12.42 | % 86.79/12.42 | GROUND_INST: instantiating (2) with e0, e2, e1, e1, simplifying with (3), (5) % 86.79/12.42 | gives: % 86.79/12.42 | (6) e2 = e0 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (4), (6) imply: % 86.79/12.42 | (7) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (7) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #17 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_12 = e2 & op(e1, e4) = e2 % 86.79/12.42 (2) all_8_12 = e1 % 86.79/12.42 (3) ~ (e2 = e1) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_12 = e2 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e2 = e1 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (5) imply: % 86.79/12.42 | (6) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (6) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #18 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_6 = e1 & op(e2, e4) = e1 % 86.79/12.42 (2) all_8_6 = e3 % 86.79/12.42 (3) ~ (e3 = e1) % 86.79/12.42 % 86.79/12.42 Begin of proof % 86.79/12.42 | % 86.79/12.42 | ALPHA: (1) implies: % 86.79/12.42 | (4) all_8_6 = e1 % 86.79/12.42 | % 86.79/12.42 | COMBINE_EQS: (2), (4) imply: % 86.79/12.42 | (5) e3 = e1 % 86.79/12.42 | % 86.79/12.42 | REDUCE: (3), (5) imply: % 86.79/12.42 | (6) $false % 86.79/12.42 | % 86.79/12.42 | CLOSE: (6) is inconsistent. % 86.79/12.42 | % 86.79/12.42 End of proof % 86.79/12.42 % 86.79/12.42 Sub-proof #19 shows that the following formulas are inconsistent: % 86.79/12.42 ---------------------------------------------------------------- % 86.79/12.42 (1) all_8_0 = e0 % 86.79/12.42 (2) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_2 = e1 & op(e3, e4) = e1) % 86.79/12.42 (3) ~ (e4 = e0) % 86.79/12.42 (4) ~ (e3 = e1) % 86.79/12.42 (5) ~ (e2 = e0) % 86.79/12.42 (6) all_8_3 = e4 % 86.79/12.42 (7) ~ (e2 = e1) % 86.79/12.42 (8) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 86.79/12.42 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 86.79/12.42 (all_8_17 = e3 & op(e3, e0) = e3) % 86.79/12.42 (9) e2 = e1 | ~ (op(e3, e2) = e2) % 86.79/12.42 (10) op(e3, e2) = e1 % 86.79/12.42 (11) ~ (e4 = e3) % 86.79/12.42 (12) ~ (e1 = e0) % 86.79/12.42 (13) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 86.79/12.42 (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) | % 86.79/12.42 (all_8_17 = e0 & op(e3, e0) = e0) % 86.79/12.42 (14) ~ (e3 = e0) % 86.79/12.42 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 86.79/12.42 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 86.79/12.42 (16) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 86.79/12.42 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 86.79/12.42 (all_8_17 = e2 & op(e3, e0) = e2) % 86.79/12.43 (17) e3 = e1 | ~ (op(e3, e2) = e3) % 86.79/12.43 (18) ~ (e3 = e2) % 86.79/12.43 (19) ~ (e4 = e2) % 86.79/12.43 % 86.79/12.43 Begin of proof % 86.79/12.43 | % 86.79/12.43 | BETA: splitting (2) gives: % 86.79/12.43 | % 86.79/12.43 | Case 1: % 86.79/12.43 | | % 86.79/12.43 | | (20) all_8_0 = e1 & op(e4, e4) = e1 % 86.79/12.43 | | % 86.79/12.43 | | ALPHA: (20) implies: % 86.79/12.43 | | (21) all_8_0 = e1 % 86.79/12.43 | | % 86.79/12.43 | | COMBINE_EQS: (1), (21) imply: % 86.79/12.43 | | (22) e1 = e0 % 86.79/12.43 | | % 86.79/12.43 | | SIMP: (22) implies: % 86.79/12.43 | | (23) e1 = e0 % 86.79/12.43 | | % 86.79/12.43 | | REDUCE: (12), (23) imply: % 86.79/12.43 | | (24) $false % 86.79/12.43 | | % 86.79/12.43 | | CLOSE: (24) is inconsistent. % 86.79/12.43 | | % 86.79/12.43 | Case 2: % 86.79/12.43 | | % 86.79/12.43 | | (25) all_8_2 = e1 & op(e3, e4) = e1 % 86.79/12.43 | | % 86.79/12.43 | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14), % 86.79/12.43 | | (15), (16), (17), (18), (19), (25) are inconsistent by sub-proof % 86.79/12.43 | | #105. % 86.79/12.43 | | % 86.79/12.43 | End of split % 86.79/12.43 | % 86.79/12.43 End of proof % 86.79/12.43 % 86.79/12.43 Sub-proof #20 shows that the following formulas are inconsistent: % 86.79/12.43 ---------------------------------------------------------------- % 86.79/12.43 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 86.79/12.43 (2) op(unit, e4) = e4 % 86.79/12.43 (3) all_8_6 = e4 & op(e2, e4) = e4 % 86.79/12.43 (4) ~ (all_4_9 = all_4_24) % 86.79/12.43 (5) all_6_3 = e4 | ~ (op(e4, e1) = e4) % 86.79/12.43 (6) op(e4, e2) = all_4_10 % 86.79/12.43 (7) all_6_19 = all_4_23 % 86.79/12.43 (8) ~ (all_4_1 = all_4_16) % 86.79/12.43 (9) all_4_1 = e4 | ~ (op(e3, e4) = e4) % 86.79/12.43 (10) ~ (all_4_7 = all_4_8) % 86.79/12.43 (11) op(e4, unit) = e4 % 86.79/12.43 (12) all_4_21 = e3 | ~ (op(e3, e0) = e3) % 86.79/12.43 (13) all_4_15 = e4 | ~ (op(e4, e1) = e4) % 86.79/12.43 (14) all_6_4 = e0 | ~ (op(e4, e0) = e0) % 86.79/12.43 (15) (all_8_16 = e2 & op(e4, e0) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) | % 86.79/12.43 (all_8_18 = e2 & op(e2, e0) = e2) | (all_8_19 = e2 & op(e1, e0) = e2) | % 86.79/12.43 (all_8_24 = e2 & op(e0, e0) = e2) % 86.79/12.43 (16) ~ (all_4_7 = e3) % 86.79/12.43 (17) all_6_9 = all_4_21 % 86.79/12.43 (18) all_6_1 = all_4_5 % 86.79/12.43 (19) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_1 = e4 & op(e4, e3) = e4) | % 86.79/12.43 (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_9 = e4 & op(e4, e1) = e4) | % 86.79/12.43 (all_8_16 = e4 & op(e4, e0) = e4) % 86.79/12.43 (20) all_6_23 = all_4_19 % 86.79/12.43 (21) ~ (all_4_17 = all_4_19) % 86.79/12.43 (22) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 % 86.79/12.43 = e0 % 86.79/12.43 (23) all_6_17 = all_4_13 % 86.79/12.43 (24) op(e3, e4) = all_4_1 % 86.79/12.43 (25) ~ (all_4_14 = e3) % 86.79/12.43 (26) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) | % 86.79/12.43 (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 & op(e1, e2) = e2) | % 86.79/12.43 (all_8_22 = e2 & op(e0, e2) = e2) % 86.79/12.43 (27) ~ (all_4_8 = all_4_13) % 86.79/12.43 (28) ~ (all_4_13 = e3) % 86.79/12.43 (29) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 86.79/12.43 (30) all_6_2 = all_4_10 % 86.79/12.43 (31) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = all_9_45) & % 86.79/12.43 op(all_9_41, e4) = all_9_0 & op(all_9_41, e3) = e4 & op(e4, e3) = % 86.79/12.43 all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_0) & $i(all_9_41) & % 86.79/12.43 $i(all_9_45)) | (all_9_3 = e4 & ~ (all_9_2 = e2) & ~ (all_9_42 = % 86.79/12.43 all_9_50) & op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = e4 & % 86.79/12.43 op(e4, e2) = all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_2) & % 86.79/12.43 $i(all_9_42) & $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = e1) & ~ % 86.79/12.43 (all_9_43 = all_9_55) & op(all_9_43, e4) = all_9_4 & op(all_9_43, e1) % 86.79/12.43 = e4 & op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & $i(all_9_4) & % 86.79/12.43 $i(all_9_43) & $i(all_9_55)) | (all_9_7 = e4 & ~ (all_9_6 = e0) & ~ % 86.79/12.43 (all_9_44 = all_9_60) & op(all_9_44, e4) = all_9_6 & op(all_9_44, e0) % 86.79/12.43 = e4 & op(e4, e0) = all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_6) & % 86.79/12.43 $i(all_9_44) & $i(all_9_60)) | (all_9_9 = e3 & ~ (all_9_8 = e4) & ~ % 86.79/12.43 (all_9_41 = all_9_45) & op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 86.79/12.43 all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_8) % 86.79/12.43 & $i(all_9_41) & $i(all_9_45)) | (all_9_11 = e3 & ~ (all_9_10 = e2) & % 86.79/12.43 ~ (all_9_47 = all_9_51) & op(all_9_47, e3) = all_9_10 & op(all_9_47, % 86.79/12.43 e2) = e3 & op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & % 86.79/12.43 $i(all_9_10) & $i(all_9_47) & $i(all_9_51)) | (all_9_13 = e3 & ~ % 86.79/12.43 (all_9_12 = e1) & ~ (all_9_48 = all_9_56) & op(all_9_48, e3) = % 86.79/12.43 all_9_12 & op(all_9_48, e1) = e3 & op(e3, e1) = all_9_48 & op(e1, e3) % 86.79/12.43 = all_9_56 & $i(all_9_12) & $i(all_9_48) & $i(all_9_56)) | (all_9_15 = % 86.79/12.43 e3 & ~ (all_9_14 = e0) & ~ (all_9_49 = all_9_61) & op(all_9_49, e3) % 86.79/12.43 = all_9_14 & op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & op(e0, % 86.79/12.43 e3) = all_9_61 & $i(all_9_14) & $i(all_9_49) & $i(all_9_61)) | % 86.79/12.43 (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 = all_9_50) & % 86.79/12.43 op(all_9_50, e4) = e2 & op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 86.79/12.43 all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) & $i(all_9_42) & % 86.79/12.43 $i(all_9_50)) | (all_9_19 = e2 & ~ (all_9_18 = e3) & ~ (all_9_47 = % 86.79/12.43 all_9_51) & op(all_9_51, e3) = e2 & op(all_9_51, e2) = all_9_18 & % 86.79/12.43 op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_18) & % 86.79/12.43 $i(all_9_47) & $i(all_9_51)) | (all_9_21 = e2 & ~ (all_9_20 = e1) & % 86.79/12.43 ~ (all_9_53 = all_9_57) & op(all_9_53, e2) = all_9_20 & op(all_9_53, % 86.79/12.43 e1) = e2 & op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & % 86.79/12.43 $i(all_9_20) & $i(all_9_53) & $i(all_9_57)) | (all_9_23 = e2 & ~ % 86.79/12.43 (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & op(all_9_54, e2) = % 86.79/12.43 all_9_22 & op(all_9_54, e0) = e2 & op(e2, e0) = all_9_54 & op(e0, e2) % 86.79/12.43 = all_9_62 & $i(all_9_22) & $i(all_9_54) & $i(all_9_62)) | (all_9_25 = % 86.79/12.43 e1 & ~ (all_9_24 = e4) & ~ (all_9_43 = all_9_55) & op(all_9_55, e4) % 86.79/12.43 = e1 & op(all_9_55, e1) = all_9_24 & op(e4, e1) = all_9_43 & op(e1, % 86.79/12.43 e4) = all_9_55 & $i(all_9_24) & $i(all_9_43) & $i(all_9_55)) | % 86.79/12.43 (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 = all_9_56) & % 86.79/12.43 op(all_9_56, e3) = e1 & op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 86.79/12.43 all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) & $i(all_9_48) & % 86.79/12.43 $i(all_9_56)) | (all_9_29 = e1 & ~ (all_9_28 = e2) & ~ (all_9_53 = % 86.79/12.43 all_9_57) & op(all_9_57, e2) = e1 & op(all_9_57, e1) = all_9_28 & % 86.79/12.43 op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & $i(all_9_28) & % 86.79/12.43 $i(all_9_53) & $i(all_9_57)) | (all_9_31 = e1 & ~ (all_9_30 = e0) & % 86.79/12.43 ~ (all_9_59 = all_9_63) & op(all_9_59, e1) = all_9_30 & op(all_9_59, % 86.79/12.43 e0) = e1 & op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & % 86.79/12.43 $i(all_9_30) & $i(all_9_59) & $i(all_9_63)) | (all_9_33 = e0 & ~ % 86.79/12.43 (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & op(all_9_60, e4) = e0 & % 86.79/12.43 op(all_9_60, e0) = all_9_32 & op(e4, e0) = all_9_44 & op(e0, e4) = % 86.79/12.43 all_9_60 & $i(all_9_32) & $i(all_9_44) & $i(all_9_60)) | (all_9_35 = % 86.79/12.43 e0 & ~ (all_9_34 = e3) & ~ (all_9_49 = all_9_61) & op(all_9_61, e3) % 86.79/12.43 = e0 & op(all_9_61, e0) = all_9_34 & op(e3, e0) = all_9_49 & op(e0, % 86.79/12.43 e3) = all_9_61 & $i(all_9_34) & $i(all_9_49) & $i(all_9_61)) | % 86.79/12.43 (all_9_37 = e0 & ~ (all_9_36 = e2) & ~ (all_9_54 = all_9_62) & % 86.79/12.43 op(all_9_62, e2) = e0 & op(all_9_62, e0) = all_9_36 & op(e2, e0) = % 86.79/12.43 all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_36) & $i(all_9_54) & % 86.79/12.43 $i(all_9_62)) | (all_9_39 = e0 & ~ (all_9_38 = e1) & ~ (all_9_59 = % 86.79/12.43 all_9_63) & op(all_9_63, e1) = e0 & op(all_9_63, e0) = all_9_38 & % 86.79/12.43 op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & $i(all_9_38) & % 86.79/12.43 $i(all_9_59) & $i(all_9_63)) % 86.79/12.43 (32) (all_8_0 = e3 & op(e4, e4) = e3) | (all_8_2 = e3 & op(e3, e4) = e3) | % 86.79/12.43 (all_8_6 = e3 & op(e2, e4) = e3) | (all_8_12 = e3 & op(e1, e4) = e3) | % 86.79/12.43 (all_8_20 = e3 & op(e0, e4) = e3) % 86.79/12.43 (33) all_4_13 = e2 | ~ (op(e1, e2) = e2) % 86.79/12.43 (34) all_6_22 = e2 | ~ (op(e0, e2) = e2) % 86.79/12.43 (35) (all_8_6 = e2 & op(e2, e4) = e2) | (all_8_7 = e2 & op(e2, e3) = e2) | % 86.79/12.43 (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_11 = e2 & op(e2, e1) = e2) | % 86.79/12.43 (all_8_18 = e2 & op(e2, e0) = e2) % 86.79/12.43 (36) (all_8_24 = e0 & op(e0, e0) = e0) | (((all_8_16 = e0 & op(e4, e0) = e0) % 86.79/12.43 | (all_8_17 = e0 & op(e3, e0) = e0) | (all_8_18 = e0 & op(e2, e0) = % 86.79/12.43 e0) | (all_8_19 = e0 & op(e1, e0) = e0)) & ((all_8_20 = e0 & % 86.79/12.43 op(e0, e4) = e0) | (all_8_21 = e0 & op(e0, e3) = e0) | (all_8_22 = % 86.79/12.43 e0 & op(e0, e2) = e0) | (all_8_23 = e0 & op(e0, e1) = e0))) % 86.79/12.43 (37) ~ (all_4_15 = all_4_17) % 86.79/12.43 (38) ~ (e3 = e1) % 86.79/12.43 (39) op(unit, e2) = e2 % 86.79/12.43 (40) ~ (all_4_19 = all_4_24) % 86.79/12.43 (41) all_6_20 = e0 | ~ (op(e0, e4) = e0) % 86.79/12.43 (42) ~ (all_4_21 = e1) % 86.79/12.43 (43) all_6_22 = all_4_14 % 86.79/12.44 (44) ~ (all_4_14 = all_4_24) % 86.79/12.44 (45) ~ (all_4_4 = all_4_14) % 86.79/12.44 (46) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 & op(e1, e3) = e3) | % 86.79/12.44 (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 & op(e1, e1) = e3) | % 86.79/12.44 (all_8_19 = e3 & op(e1, e0) = e3) % 86.79/12.44 (47) all_6_2 = e2 | ~ (op(e4, e2) = e2) % 86.79/12.44 (48) ~ (all_4_4 = all_4_9) % 86.79/12.44 (49) all_6_24 = all_4_24 % 86.79/12.44 (50) ~ (e4 = e1) % 86.79/12.44 (51) all_4_4 = e4 | ~ (op(e0, e4) = e4) % 86.79/12.44 (52) e1 = e0 | ~ (op(e1, e1) = e1) % 86.79/12.44 (53) op(unit, e0) = e0 % 86.79/12.44 (54) op(e1, e1) = e0 % 86.79/12.44 (55) ~ (all_4_7 = all_4_9) % 86.79/12.44 (56) ~ (e2 = e0) % 86.79/12.44 (57) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) | % 86.79/12.44 (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 86.79/12.44 (all_8_23 = e1 & op(e0, e1) = e1) % 86.79/12.44 (58) all_6_20 = all_4_4 % 86.79/12.44 (59) (all_8_16 = e1 & op(e4, e0) = e1) | (all_8_17 = e1 & op(e3, e0) = e1) | % 86.79/12.44 (all_8_18 = e1 & op(e2, e0) = e1) | (all_8_19 = e1 & op(e1, e0) = e1) | % 86.79/12.44 (all_8_24 = e1 & op(e0, e0) = e1) % 86.79/12.44 (60) ~ (all_4_10 = all_4_13) % 86.79/12.44 (61) ~ (all_4_23 = all_4_24) % 86.79/12.44 (62) all_8_3 = e4 % 86.79/12.44 (63) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 86.79/12.44 (64) all_6_21 = all_4_9 % 86.79/12.44 (65) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 % 86.79/12.44 = e0 % 86.79/12.44 (66) ~ (e2 = e1) % 86.79/12.44 (67) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 86.79/12.44 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 86.79/12.44 (all_8_17 = e3 & op(e3, e0) = e3) % 86.79/12.44 (68) all_6_0 = all_4_0 % 86.79/12.44 (69) ~ (all_4_3 = all_4_13) % 86.79/12.44 (70) all_4_8 = e3 | ~ (op(e1, e3) = e3) % 86.79/12.44 (71) op(e3, e1) = all_4_16 % 86.79/12.44 (72) op(e0, e2) = all_4_14 % 86.79/12.44 (73) op(e3, e0) = all_4_21 % 86.79/12.44 (74) ~ (all_4_16 = all_4_21) % 86.79/12.44 (75) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | all_6_22 % 86.79/12.44 = e0 % 86.79/12.44 (76) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 86.79/12.44 (77) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 86.79/12.44 (78) ~ (all_4_1 = all_4_21) % 86.79/12.44 (79) all_6_21 = e0 | ~ (op(e0, e3) = e0) % 86.79/12.44 (80) ~ (all_4_9 = all_4_19) % 86.79/12.44 (81) op(e1, unit) = e1 % 86.79/12.44 (82) ~ (all_4_10 = all_4_14) % 86.79/12.44 (83) all_6_22 = e0 | ~ (op(e0, e2) = e0) % 86.79/12.44 (84) e2 = e1 | ~ (op(e3, e2) = e2) % 86.79/12.44 (85) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 86.79/12.44 (86) all_4_14 = e2 | ~ (op(e0, e2) = e2) % 86.79/12.44 (87) all_6_4 = all_4_20 % 86.79/12.44 (88) ~ (all_4_16 = e0) % 86.79/12.44 (89) op(e3, e2) = e1 % 86.79/12.44 (90) all_6_18 = e1 | ~ (op(e1, e1) = e1) % 86.79/12.44 (91) ~ (all_4_23 = e0) % 86.79/12.44 (92) all_8_15 = e0 % 86.79/12.44 (93) ~ (all_4_7 = all_4_17) % 86.79/12.44 (94) ~ (e4 = e3) % 86.79/12.44 (95) all_6_16 = e3 | ~ (op(e1, e3) = e3) % 86.79/12.44 (96) op(e1, e3) = all_4_8 % 86.79/12.44 (97) all_6_19 = e0 | ~ (op(e1, e0) = e0) % 86.79/12.44 (98) all_6_23 = e1 | ~ (op(e0, e1) = e1) % 86.79/12.44 (99) (all_8_9 = e3 & op(e4, e1) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 86.79/12.44 (all_8_11 = e3 & op(e2, e1) = e3) | (all_8_15 = e3 & op(e1, e1) = e3) | % 86.79/12.44 (all_8_23 = e3 & op(e0, e1) = e3) % 86.79/12.44 (100) all_6_0 = e4 | ~ (op(e4, e4) = e4) % 86.79/12.44 (101) all_6_11 = all_4_7 % 86.79/12.44 (102) ~ (all_4_16 = all_4_17) % 86.79/12.44 (103) op(e2, e2) = e3 % 86.79/12.44 (104) op(e2, e3) = all_4_7 % 86.79/12.44 (105) all_6_2 = e4 | ~ (op(e4, e2) = e4) % 86.79/12.44 (106) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & op(e3, e4) = e4) | % 86.79/12.44 (all_8_6 = e4 & op(e2, e4) = e4) | (all_8_12 = e4 & op(e1, e4) = e4) | % 86.79/12.44 (all_8_20 = e4 & op(e0, e4) = e4) % 86.79/12.44 (107) ~ (all_4_13 = all_4_14) % 86.79/12.44 (108) (all_8_1 = e0 & op(e4, e3) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 86.79/12.44 (all_8_7 = e0 & op(e2, e3) = e0) | (all_8_13 = e0 & op(e1, e3) = e0) | % 86.79/12.44 (all_8_21 = e0 & op(e0, e3) = e0) % 86.79/12.44 (109) all_4_12 = e2 | ~ (op(e2, e2) = e2) % 86.79/12.44 (110) all_4_8 = e1 | ~ (op(e1, e3) = e1) % 86.79/12.44 (111) ~ (all_4_7 = e4) % 86.79/12.44 (112) ~ (all_4_21 = all_4_24) % 86.79/12.44 (113) ~ (e1 = e0) % 86.79/12.44 (114) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 86.79/12.44 (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) | % 86.79/12.44 (all_8_17 = e0 & op(e3, e0) = e0) % 86.79/12.44 (115) all_6_24 = e0 | ~ (op(e0, e0) = e0) % 86.79/12.44 (116) ~ (all_4_10 = all_4_15) % 86.79/12.44 (117) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & op(e3, e2) = e0) | % 86.79/12.44 (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 & op(e1, e2) = e0) | % 86.79/12.44 (all_8_22 = e0 & op(e0, e2) = e0) % 86.79/12.44 (118) all_4_10 = e2 | ~ (op(e4, e2) = e2) % 86.79/12.44 (119) all_4_21 = e0 | ~ (op(e3, e0) = e0) % 86.79/12.44 (120) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 86.79/12.44 (121) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 86.79/12.44 (122) all_4_12 = e3 % 87.40/12.44 (123) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_7 = e1 & op(e2, e3) = e1) | % 87.40/12.44 (all_8_8 = e1 & op(e2, e2) = e1) | (all_8_11 = e1 & op(e2, e1) = e1) | % 87.40/12.44 (all_8_18 = e1 & op(e2, e0) = e1) % 87.40/12.44 (124) ~ (all_4_1 = all_4_4) % 87.40/12.44 (125) all_4_10 = e4 | ~ (op(e4, e2) = e4) % 87.40/12.44 (126) ~ (e3 = e0) % 87.40/12.44 (127) all_6_10 = e4 | ~ (op(e2, e4) = e4) % 87.40/12.44 (128) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 87.40/12.44 (129) ~ (all_4_16 = all_4_19) % 87.40/12.44 (130) ~ (all_4_5 = all_4_7) % 87.40/12.44 (131) ~ (all_4_5 = all_4_9) % 87.40/12.44 (132) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = % 87.40/12.44 e0 % 87.40/12.44 (133) all_4_3 = e4 | ~ (op(e1, e4) = e4) % 87.40/12.44 (134) ~ (all_4_0 = all_4_4) % 87.40/12.44 (135) all_6_16 = all_4_8 % 87.40/12.44 (136) ~ (all_4_5 = e4) % 87.40/12.44 (137) all_6_10 = all_4_2 % 87.40/12.44 (138) ~ (all_4_3 = all_4_4) % 87.40/12.44 (139) ~ (all_4_8 = all_4_23) % 87.40/12.45 (140) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_1 = e1 & op(e4, e3) = e1) | % 87.40/12.45 (all_8_4 = e1 & op(e4, e2) = e1) | (all_8_9 = e1 & op(e4, e1) = e1) | % 87.40/12.45 (all_8_16 = e1 & op(e4, e0) = e1) % 87.40/12.45 (141) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = % 87.40/12.45 e0 % 87.40/12.45 (142) all_4_5 = e3 | ~ (op(e4, e3) = e3) % 87.40/12.45 (143) ~ (all_4_13 = e1) % 87.40/12.45 (144) op(e1, e2) = all_4_13 % 87.40/12.45 (145) ~ (all_4_21 = e4) % 87.40/12.45 (146) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = % 87.40/12.45 e0 % 87.40/12.45 (147) ~ (all_4_10 = e1) % 87.40/12.45 (148) all_6_8 = all_4_16 % 87.40/12.45 (149) ~ (all_4_5 = all_4_8) % 87.40/12.45 (150) ~ (all_4_16 = e4) % 87.40/12.45 (151) ~ (all_4_5 = all_4_10) % 87.40/12.45 (152) ~ (all_4_2 = all_4_4) % 87.40/12.45 (153) ~ (all_4_14 = e1) % 87.40/12.45 (154) op(e0, unit) = e0 % 87.40/12.45 (155) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) | % 87.40/12.45 (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) | % 87.40/12.45 (all_8_22 = e4 & op(e0, e2) = e4) % 87.40/12.45 (156) ~ (all_4_9 = all_4_14) % 87.40/12.45 (157) op(e2, e1) = all_4_17 % 87.40/12.45 (158) ~ (all_4_15 = all_4_19) % 87.40/12.45 (159) ~ (all_4_8 = all_4_9) % 87.40/12.45 (160) (all_8_9 = e4 & op(e4, e1) = e4) | (all_8_10 = e4 & op(e3, e1) = e4) | % 87.40/12.45 (all_8_11 = e4 & op(e2, e1) = e4) | (all_8_15 = e4 & op(e1, e1) = e4) | % 87.40/12.45 (all_8_23 = e4 & op(e0, e1) = e4) % 87.40/12.45 (161) ~ (all_4_5 = all_4_15) % 87.40/12.45 (162) ~ (all_4_13 = e0) % 87.40/12.45 (163) op(e4, e3) = all_4_5 % 87.40/12.45 (164) all_8_5 = e1 % 87.40/12.45 (165) all_6_19 = e1 | ~ (op(e1, e0) = e1) % 87.40/12.45 (166) op(unit, e1) = e1 % 87.40/12.45 (167) all_4_9 = e3 | ~ (op(e0, e3) = e3) % 87.40/12.45 (168) all_6_13 = all_4_17 % 87.40/12.45 (169) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 87.40/12.45 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 87.40/12.45 (170) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 87.40/12.45 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 87.40/12.45 (all_8_17 = e2 & op(e3, e0) = e2) % 87.40/12.45 (171) all_4_19 = e0 | ~ (op(e0, e1) = e0) % 87.40/12.45 (172) all_8_6 = e3 % 87.40/12.45 (173) ~ (all_4_4 = all_4_24) % 87.52/12.46 (174) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 % 87.52/12.46 & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 87.52/12.46 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 87.52/12.46 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit % 87.52/12.46 = e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = % 87.52/12.46 e4) | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 87.52/12.46 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) % 87.52/12.46 = all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 87.52/12.46 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 87.52/12.46 = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.52/12.46 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) % 87.52/12.46 = all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 87.52/12.46 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) % 87.52/12.46 = all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.52/12.46 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 87.52/12.46 = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 87.52/12.46 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) % 87.52/12.46 = all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.52/12.46 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) % 87.52/12.46 = all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 87.52/12.46 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 87.52/12.46 = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.52/12.46 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) % 87.52/12.46 = all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 87.52/12.46 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) % 87.52/12.46 = all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | % 87.52/12.46 ( ~ (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.52/12.46 (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 % 87.52/12.46 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 87.52/12.46 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 87.52/12.46 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit % 87.52/12.46 = e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = % 87.52/12.46 e3) | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 87.52/12.46 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) % 87.52/12.46 = all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 87.52/12.46 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) % 87.52/12.46 = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.52/12.46 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 87.52/12.46 = all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 87.52/12.46 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) % 87.52/12.46 = all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.52/12.46 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) % 87.52/12.46 = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 87.52/12.46 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 87.52/12.46 = all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.52/12.46 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) % 87.52/12.46 = all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 87.52/12.46 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) % 87.52/12.46 = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.52/12.46 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 87.52/12.46 = all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 87.52/12.46 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) % 87.52/12.46 = all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | % 87.52/12.46 ( ~ (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.52/12.46 (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = all_9_52 % 87.52/12.46 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & $i(all_9_42) & % 87.52/12.46 $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & $i(all_9_62) & ( ~ % 87.52/12.46 (all_9_42 = e2) | ~ (unit = e2)) & ( ~ (all_9_47 = e2) | ~ (unit % 87.52/12.46 = e2)) & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ (all_9_57 = % 87.52/12.46 e2) | ~ (unit = e2)) & ( ~ (all_9_62 = e2) | ~ (unit = e2)) & % 87.52/12.46 ((all_9_42 = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) % 87.52/12.46 = all_9_40 & $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.52/12.46 ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 87.52/12.46 = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.52/12.46 ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & op(e3, e4) % 87.52/12.46 = all_9_45 & $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_46 = e2) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.52/12.46 ((all_9_47 = e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) % 87.52/12.46 = all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.52/12.46 ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 87.52/12.46 = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.52/12.46 ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) % 87.52/12.46 = all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_54 = e2) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.52/12.46 ((all_9_57 = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) % 87.52/12.46 = all_9_55 & $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.52/12.46 ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 87.52/12.46 = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.52/12.46 ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & op(e0, e4) % 87.52/12.46 = all_9_60 & $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_61 = e2) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.52/12.46 ((all_9_62 = e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) % 87.52/12.46 = all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | % 87.52/12.46 ( ~ (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.52/12.46 (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 % 87.52/12.46 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & $i(all_9_43) & % 87.52/12.46 $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & $i(all_9_63) & ( ~ % 87.52/12.46 (all_9_43 = e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) | ~ (unit % 87.52/12.46 = e1)) & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ (all_9_58 = % 87.52/12.46 e1) | ~ (unit = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = e1)) & % 87.52/12.46 ((all_9_43 = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) % 87.52/12.46 = all_9_40 & $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.52/12.46 ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 87.52/12.46 = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.52/12.46 ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 87.52/12.46 = all_9_45 & $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_46 = e1) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.52/12.46 ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) % 87.52/12.46 = all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.52/12.46 ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 87.52/12.46 = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.52/12.46 ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 87.52/12.46 = all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_54 = e1) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.52/12.46 ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) % 87.52/12.46 = all_9_55 & $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.52/12.46 ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 87.52/12.46 = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.52/12.46 ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 87.52/12.46 = all_9_60 & $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_61 = e1) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.52/12.46 ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) % 87.52/12.46 = all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | % 87.52/12.46 ( ~ (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.52/12.46 (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 % 87.52/12.46 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & $i(all_9_44) & % 87.52/12.46 $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 87.52/12.46 (all_9_44 = e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) | ~ (unit % 87.52/12.46 = e0)) & ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ (all_9_59 = % 87.52/12.46 e0) | ~ (unit = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = e0)) & % 87.52/12.46 ((all_9_44 = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) % 87.52/12.46 = all_9_40 & $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.52/12.46 ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 87.52/12.46 = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 87.52/12.46 ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 87.52/12.46 = all_9_45 & $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_46 = e0) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.52/12.46 ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) % 87.52/12.46 = all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 87.52/12.46 ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 87.52/12.46 = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.52/12.46 ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 87.52/12.46 = all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_53 = e0) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 87.52/12.46 ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) % 87.52/12.46 = all_9_55 & $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.52/12.46 ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 87.52/12.46 = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 87.52/12.46 ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 87.52/12.46 = all_9_60 & $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_61 = e0) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.52/12.46 ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) % 87.52/12.46 = all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | % 87.52/12.46 ( ~ (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 87.52/12.46 (175) ~ (all_4_10 = all_4_20) % 87.52/12.46 (176) all_6_3 = all_4_15 % 87.52/12.46 (177) ~ (all_4_17 = e3) % 87.52/12.46 (178) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 87.52/12.46 all_6_17 = e0 % 87.52/12.46 (179) all_8_8 = e4 % 87.52/12.46 (180) e3 = e1 | ~ (op(e3, e2) = e3) % 87.52/12.46 (181) ~ (all_4_16 = e1) % 87.52/12.46 (182) op(e3, unit) = e3 % 87.52/12.46 (183) ~ (all_4_8 = e0) % 87.52/12.46 (184) all_4_16 = e3 | ~ (op(e3, e1) = e3) % 87.52/12.46 (185) ~ (e3 = e2) % 87.52/12.46 (186) ~ (all_4_10 = e3) % 87.52/12.46 (187) ~ (e4 = e2) % 87.52/12.46 (188) (all_8_20 = e3 & op(e0, e4) = e3) | (all_8_21 = e3 & op(e0, e3) = e3) | % 87.52/12.46 (all_8_22 = e3 & op(e0, e2) = e3) | (all_8_23 = e3 & op(e0, e1) = e3) | % 87.52/12.46 (all_8_24 = e3 & op(e0, e0) = e3) % 87.52/12.46 (189) op(e0, e3) = all_4_9 % 87.52/12.46 (190) (all_8_0 = e2 & op(e4, e4) = e2) | (all_8_1 = e2 & op(e4, e3) = e2) | % 87.52/12.46 (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_9 = e2 & op(e4, e1) = e2) | % 87.52/12.46 (all_8_16 = e2 & op(e4, e0) = e2) % 87.52/12.46 (191) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_13 = e1 & op(e1, e3) = e1) | % 87.52/12.46 (all_8_14 = e1 & op(e1, e2) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 87.52/12.46 (all_8_19 = e1 & op(e1, e0) = e1) % 87.52/12.46 % 87.52/12.46 Begin of proof % 87.52/12.46 | % 87.52/12.46 | ALPHA: (3) implies: % 87.52/12.46 | (192) all_8_6 = e4 % 87.52/12.46 | % 87.52/12.46 | COMBINE_EQS: (172), (192) imply: % 87.52/12.46 | (193) e4 = e3 % 87.52/12.46 | % 87.52/12.46 | SIMP: (193) implies: % 87.52/12.46 | (194) e4 = e3 % 87.52/12.46 | % 87.52/12.46 | COMBINE_EQS: (179), (194) imply: % 87.52/12.46 | (195) all_8_8 = e3 % 87.52/12.46 | % 87.52/12.46 | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), % 87.52/12.46 | (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), % 87.52/12.46 | (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), % 87.52/12.46 | (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), % 87.52/12.46 | (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), % 87.52/12.46 | (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), % 87.52/12.46 | (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), % 87.52/12.46 | (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), % 87.52/12.46 | (91), (92), (93), (94), (95), (96), (97), (98), (99), (100), (101), % 87.52/12.46 | (102), (103), (104), (105), (106), (107), (108), (109), (110), % 87.52/12.46 | (111), (112), (113), (114), (115), (116), (117), (118), (119), % 87.52/12.46 | (120), (121), (122), (123), (124), (125), (126), (127), (128), % 87.52/12.46 | (129), (130), (131), (132), (133), (134), (135), (136), (137), % 87.52/12.46 | (138), (139), (140), (141), (142), (143), (144), (145), (146), % 87.52/12.46 | (147), (148), (149), (150), (151), (152), (153), (154), (155), % 87.52/12.46 | (156), (157), (158), (159), (160), (161), (162), (163), (164), % 87.52/12.46 | (165), (166), (167), (168), (169), (170), (171), (173), (174), % 87.52/12.46 | (175), (176), (177), (178), (180), (181), (182), (183), (184), % 87.52/12.46 | (185), (186), (187), (188), (189), (190), (191), (195) are % 87.52/12.46 | inconsistent by sub-proof #27. % 87.52/12.46 | % 87.52/12.46 End of proof % 87.52/12.46 % 87.52/12.46 Sub-proof #21 shows that the following formulas are inconsistent: % 87.52/12.46 ---------------------------------------------------------------- % 87.52/12.46 (1) all_4_1 = e4 | ~ (op(e3, e4) = e4) % 87.52/12.46 (2) all_8_0 = e0 % 87.52/12.46 (3) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & op(e3, e4) = e4) % 87.52/12.46 (4) ~ (e4 = e0) % 87.52/12.46 (5) ~ (all_4_1 = e4) % 87.52/12.46 (6) all_8_22 = e2 % 87.52/12.46 (7) all_8_4 = e3 % 87.52/12.46 (8) ~ (e4 = e1) % 87.52/12.46 (9) ~ (e4 = e3) % 87.52/12.46 (10) all_8_14 = e0 % 87.52/12.46 (11) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) | % 87.52/12.46 (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) | % 87.52/12.46 (all_8_22 = e4 & op(e0, e2) = e4) % 87.52/12.46 (12) all_8_5 = e1 % 87.52/12.46 (13) all_8_8 = e4 % 87.52/12.46 (14) ~ (e4 = e2) % 87.52/12.46 % 87.52/12.46 Begin of proof % 87.52/12.46 | % 87.52/12.46 | BETA: splitting (3) gives: % 87.52/12.46 | % 87.52/12.46 | Case 1: % 87.52/12.46 | | % 87.52/12.46 | | (15) all_8_0 = e4 & op(e4, e4) = e4 % 87.52/12.46 | | % 87.52/12.46 | | ALPHA: (15) implies: % 87.52/12.46 | | (16) all_8_0 = e4 % 87.52/12.46 | | % 87.52/12.46 | | COMBINE_EQS: (2), (16) imply: % 87.52/12.46 | | (17) e4 = e0 % 87.52/12.46 | | % 87.52/12.46 | | SIMP: (17) implies: % 87.52/12.46 | | (18) e4 = e0 % 87.52/12.46 | | % 87.52/12.46 | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (12), (13), (14), (18) are % 87.52/12.46 | | inconsistent by sub-proof #22. % 87.52/12.46 | | % 87.52/12.46 | Case 2: % 87.52/12.46 | | % 87.52/12.46 | | (19) all_8_2 = e4 & op(e3, e4) = e4 % 87.52/12.46 | | % 87.52/12.46 | | REF_CLOSE: (1), (5), (19) are inconsistent by sub-proof #121. % 87.52/12.46 | | % 87.52/12.46 | End of split % 87.52/12.46 | % 87.52/12.46 End of proof % 87.52/12.46 % 87.52/12.46 Sub-proof #22 shows that the following formulas are inconsistent: % 87.52/12.46 ---------------------------------------------------------------- % 87.52/12.46 (1) ~ (e4 = e0) % 87.52/12.46 (2) e4 = e0 % 87.52/12.46 (3) all_8_22 = e2 % 87.52/12.46 (4) all_8_4 = e3 % 87.52/12.46 (5) ~ (e4 = e1) % 87.52/12.46 (6) ~ (e4 = e3) % 87.52/12.46 (7) all_8_14 = e0 % 87.52/12.46 (8) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) | % 87.52/12.47 (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) | % 87.52/12.47 (all_8_22 = e4 & op(e0, e2) = e4) % 87.52/12.47 (9) all_8_5 = e1 % 87.52/12.47 (10) all_8_8 = e4 % 87.52/12.47 (11) ~ (e4 = e2) % 87.52/12.47 % 87.52/12.47 Begin of proof % 87.52/12.47 | % 87.52/12.47 | COMBINE_EQS: (2), (10) imply: % 87.52/12.47 | (12) all_8_8 = e0 % 87.52/12.47 | % 87.52/12.47 | BETA: splitting (8) gives: % 87.52/12.47 | % 87.52/12.47 | Case 1: % 87.52/12.47 | | % 87.52/12.47 | | (13) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) % 87.52/12.47 | | % 87.52/12.47 | | REF_CLOSE: (4), (5), (6), (9), (13) are inconsistent by sub-proof #25. % 87.52/12.47 | | % 87.52/12.47 | Case 2: % 87.52/12.47 | | % 87.52/12.47 | | (14) (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) % 87.52/12.47 | | | (all_8_22 = e4 & op(e0, e2) = e4) % 87.52/12.47 | | % 87.52/12.47 | | BETA: splitting (14) gives: % 87.52/12.47 | | % 87.52/12.47 | | Case 1: % 87.52/12.47 | | | % 87.52/12.47 | | | (15) all_8_8 = e4 & op(e2, e2) = e4 % 87.52/12.47 | | | % 87.52/12.47 | | | COMBINE_EQS: (10), (12) imply: % 87.52/12.47 | | | (16) e4 = e0 % 87.52/12.47 | | | % 87.52/12.47 | | | REDUCE: (1), (2) imply: % 87.52/12.47 | | | (17) $false % 87.52/12.47 | | | % 87.52/12.47 | | | CLOSE: (17) is inconsistent. % 87.52/12.47 | | | % 87.52/12.47 | | Case 2: % 87.52/12.47 | | | % 87.52/12.47 | | | (18) (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_22 = e4 & op(e0, e2) = % 87.52/12.47 | | | e4) % 87.52/12.47 | | | % 87.52/12.47 | | | BETA: splitting (18) gives: % 87.52/12.47 | | | % 87.52/12.47 | | | Case 1: % 87.52/12.47 | | | | % 87.52/12.47 | | | | (19) all_8_14 = e4 & op(e1, e2) = e4 % 87.52/12.47 | | | | % 87.52/12.47 | | | | REF_CLOSE: (1), (7), (19) are inconsistent by sub-proof #24. % 87.52/12.47 | | | | % 87.52/12.47 | | | Case 2: % 87.52/12.47 | | | | % 87.52/12.47 | | | | (20) all_8_22 = e4 & op(e0, e2) = e4 % 87.52/12.47 | | | | % 87.52/12.47 | | | | ALPHA: (20) implies: % 87.52/12.47 | | | | (21) all_8_22 = e4 % 87.52/12.47 | | | | % 87.52/12.47 | | | | REF_CLOSE: (3), (11), (21) are inconsistent by sub-proof #23. % 87.52/12.47 | | | | % 87.52/12.47 | | | End of split % 87.52/12.47 | | | % 87.52/12.47 | | End of split % 87.52/12.47 | | % 87.52/12.47 | End of split % 87.52/12.47 | % 87.52/12.47 End of proof % 87.52/12.47 % 87.52/12.47 Sub-proof #23 shows that the following formulas are inconsistent: % 87.52/12.47 ---------------------------------------------------------------- % 87.52/12.47 (1) all_8_22 = e4 % 87.52/12.47 (2) all_8_22 = e2 % 87.52/12.47 (3) ~ (e4 = e2) % 87.52/12.47 % 87.52/12.47 Begin of proof % 87.52/12.47 | % 87.52/12.47 | COMBINE_EQS: (1), (2) imply: % 87.52/12.47 | (4) e4 = e2 % 87.52/12.47 | % 87.52/12.47 | SIMP: (4) implies: % 87.52/12.47 | (5) e4 = e2 % 87.52/12.47 | % 87.52/12.47 | REDUCE: (3), (5) imply: % 87.52/12.47 | (6) $false % 87.52/12.47 | % 87.52/12.47 | CLOSE: (6) is inconsistent. % 87.52/12.47 | % 87.52/12.47 End of proof % 87.52/12.47 % 87.52/12.47 Sub-proof #24 shows that the following formulas are inconsistent: % 87.52/12.47 ---------------------------------------------------------------- % 87.52/12.47 (1) all_8_14 = e4 & op(e1, e2) = e4 % 87.52/12.47 (2) all_8_14 = e0 % 87.52/12.47 (3) ~ (e4 = e0) % 87.52/12.47 % 87.52/12.47 Begin of proof % 87.52/12.47 | % 87.52/12.47 | ALPHA: (1) implies: % 87.52/12.47 | (4) all_8_14 = e4 % 87.52/12.47 | % 87.52/12.47 | COMBINE_EQS: (2), (4) imply: % 87.52/12.47 | (5) e4 = e0 % 87.52/12.47 | % 87.52/12.47 | REDUCE: (3), (5) imply: % 87.52/12.47 | (6) $false % 87.52/12.47 | % 87.52/12.47 | CLOSE: (6) is inconsistent. % 87.52/12.47 | % 87.52/12.47 End of proof % 87.52/12.47 % 87.52/12.47 Sub-proof #25 shows that the following formulas are inconsistent: % 87.52/12.47 ---------------------------------------------------------------- % 87.52/12.47 (1) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) % 87.52/12.47 (2) all_8_4 = e3 % 87.52/12.47 (3) ~ (e4 = e1) % 87.52/12.47 (4) ~ (e4 = e3) % 87.52/12.47 (5) all_8_5 = e1 % 87.52/12.47 % 87.52/12.47 Begin of proof % 87.52/12.47 | % 87.52/12.47 | BETA: splitting (1) gives: % 87.52/12.47 | % 87.52/12.47 | Case 1: % 87.52/12.47 | | % 87.52/12.47 | | (6) all_8_4 = e4 & op(e4, e2) = e4 % 87.52/12.47 | | % 87.52/12.47 | | ALPHA: (6) implies: % 87.52/12.47 | | (7) all_8_4 = e4 % 87.52/12.47 | | % 87.52/12.47 | | COMBINE_EQS: (2), (7) imply: % 87.52/12.47 | | (8) e4 = e3 % 87.52/12.47 | | % 87.52/12.47 | | SIMP: (8) implies: % 87.52/12.47 | | (9) e4 = e3 % 87.52/12.47 | | % 87.52/12.47 | | REDUCE: (4), (9) imply: % 87.52/12.47 | | (10) $false % 87.52/12.47 | | % 87.52/12.47 | | CLOSE: (10) is inconsistent. % 87.52/12.47 | | % 87.52/12.47 | Case 2: % 87.52/12.47 | | % 87.52/12.47 | | (11) all_8_5 = e4 & op(e3, e2) = e4 % 87.52/12.47 | | % 87.52/12.47 | | REF_CLOSE: (3), (5), (11) are inconsistent by sub-proof #95. % 87.52/12.47 | | % 87.52/12.47 | End of split % 87.52/12.47 | % 87.52/12.47 End of proof % 87.52/12.47 % 87.52/12.47 Sub-proof #26 shows that the following formulas are inconsistent: % 87.52/12.47 ---------------------------------------------------------------- % 87.52/12.47 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 87.52/12.47 (2) op(unit, e4) = e4 % 87.52/12.47 (3) ~ (all_4_9 = all_4_24) % 87.52/12.47 (4) op(e2, e2) = e4 % 87.52/12.47 (5) all_6_3 = e4 | ~ (op(e4, e1) = e4) % 87.52/12.47 (6) op(e4, e2) = all_4_10 % 87.52/12.47 (7) all_6_19 = all_4_23 % 87.52/12.47 (8) ~ (all_4_1 = all_4_16) % 87.52/12.47 (9) all_4_1 = e4 | ~ (op(e3, e4) = e4) % 87.52/12.47 (10) ~ (all_4_7 = all_4_8) % 87.52/12.47 (11) op(e4, unit) = e4 % 87.52/12.47 (12) all_4_21 = e3 | ~ (op(e3, e0) = e3) % 87.52/12.47 (13) op(e1, e2) = e2 % 87.52/12.47 (14) all_4_15 = e4 | ~ (op(e4, e1) = e4) % 87.52/12.47 (15) all_6_4 = e0 | ~ (op(e4, e0) = e0) % 87.52/12.47 (16) (all_8_16 = e2 & op(e4, e0) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) | % 87.52/12.47 (all_8_18 = e2 & op(e2, e0) = e2) | (all_8_19 = e2 & op(e1, e0) = e2) | % 87.52/12.47 (all_8_24 = e2 & op(e0, e0) = e2) % 87.52/12.47 (17) ~ (all_4_7 = e3) % 87.52/12.47 (18) all_6_9 = all_4_21 % 87.52/12.47 (19) all_6_1 = all_4_5 % 87.52/12.47 (20) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_1 = e4 & op(e4, e3) = e4) | % 87.52/12.47 (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_9 = e4 & op(e4, e1) = e4) | % 87.52/12.47 (all_8_16 = e4 & op(e4, e0) = e4) % 87.52/12.47 (21) all_6_23 = all_4_19 % 87.52/12.47 (22) ~ (all_4_17 = all_4_19) % 87.52/12.47 (23) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 % 87.52/12.47 = e0 % 87.52/12.47 (24) all_6_17 = all_4_13 % 87.52/12.47 (25) op(e3, e4) = all_4_1 % 87.52/12.47 (26) ~ (all_4_14 = e3) % 87.52/12.47 (27) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) | % 87.52/12.47 (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 & op(e1, e2) = e2) | % 87.52/12.47 (all_8_22 = e2 & op(e0, e2) = e2) % 87.52/12.47 (28) ~ (all_4_8 = all_4_13) % 87.52/12.47 (29) ~ (all_4_13 = e3) % 87.52/12.47 (30) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 87.52/12.47 (31) all_6_2 = all_4_10 % 87.52/12.47 (32) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = all_9_45) & % 87.52/12.47 op(all_9_41, e4) = all_9_0 & op(all_9_41, e3) = e4 & op(e4, e3) = % 87.52/12.47 all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_0) & $i(all_9_41) & % 87.52/12.47 $i(all_9_45)) | (all_9_3 = e4 & ~ (all_9_2 = e2) & ~ (all_9_42 = % 87.52/12.47 all_9_50) & op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = e4 & % 87.52/12.47 op(e4, e2) = all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_2) & % 87.52/12.47 $i(all_9_42) & $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = e1) & ~ % 87.52/12.47 (all_9_43 = all_9_55) & op(all_9_43, e4) = all_9_4 & op(all_9_43, e1) % 87.52/12.47 = e4 & op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & $i(all_9_4) & % 87.52/12.47 $i(all_9_43) & $i(all_9_55)) | (all_9_7 = e4 & ~ (all_9_6 = e0) & ~ % 87.52/12.47 (all_9_44 = all_9_60) & op(all_9_44, e4) = all_9_6 & op(all_9_44, e0) % 87.52/12.47 = e4 & op(e4, e0) = all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_6) & % 87.52/12.47 $i(all_9_44) & $i(all_9_60)) | (all_9_9 = e3 & ~ (all_9_8 = e4) & ~ % 87.52/12.47 (all_9_41 = all_9_45) & op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 87.52/12.47 all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_8) % 87.52/12.47 & $i(all_9_41) & $i(all_9_45)) | (all_9_11 = e3 & ~ (all_9_10 = e2) & % 87.52/12.47 ~ (all_9_47 = all_9_51) & op(all_9_47, e3) = all_9_10 & op(all_9_47, % 87.52/12.47 e2) = e3 & op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & % 87.52/12.47 $i(all_9_10) & $i(all_9_47) & $i(all_9_51)) | (all_9_13 = e3 & ~ % 87.52/12.47 (all_9_12 = e1) & ~ (all_9_48 = all_9_56) & op(all_9_48, e3) = % 87.52/12.47 all_9_12 & op(all_9_48, e1) = e3 & op(e3, e1) = all_9_48 & op(e1, e3) % 87.52/12.47 = all_9_56 & $i(all_9_12) & $i(all_9_48) & $i(all_9_56)) | (all_9_15 = % 87.52/12.47 e3 & ~ (all_9_14 = e0) & ~ (all_9_49 = all_9_61) & op(all_9_49, e3) % 87.52/12.47 = all_9_14 & op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & op(e0, % 87.52/12.47 e3) = all_9_61 & $i(all_9_14) & $i(all_9_49) & $i(all_9_61)) | % 87.52/12.47 (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 = all_9_50) & % 87.52/12.47 op(all_9_50, e4) = e2 & op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 87.52/12.47 all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) & $i(all_9_42) & % 87.52/12.47 $i(all_9_50)) | (all_9_19 = e2 & ~ (all_9_18 = e3) & ~ (all_9_47 = % 87.52/12.47 all_9_51) & op(all_9_51, e3) = e2 & op(all_9_51, e2) = all_9_18 & % 87.52/12.47 op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_18) & % 87.52/12.47 $i(all_9_47) & $i(all_9_51)) | (all_9_21 = e2 & ~ (all_9_20 = e1) & % 87.52/12.47 ~ (all_9_53 = all_9_57) & op(all_9_53, e2) = all_9_20 & op(all_9_53, % 87.52/12.47 e1) = e2 & op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & % 87.52/12.47 $i(all_9_20) & $i(all_9_53) & $i(all_9_57)) | (all_9_23 = e2 & ~ % 87.52/12.47 (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & op(all_9_54, e2) = % 87.52/12.47 all_9_22 & op(all_9_54, e0) = e2 & op(e2, e0) = all_9_54 & op(e0, e2) % 87.52/12.47 = all_9_62 & $i(all_9_22) & $i(all_9_54) & $i(all_9_62)) | (all_9_25 = % 87.52/12.47 e1 & ~ (all_9_24 = e4) & ~ (all_9_43 = all_9_55) & op(all_9_55, e4) % 87.52/12.47 = e1 & op(all_9_55, e1) = all_9_24 & op(e4, e1) = all_9_43 & op(e1, % 87.52/12.47 e4) = all_9_55 & $i(all_9_24) & $i(all_9_43) & $i(all_9_55)) | % 87.52/12.47 (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 = all_9_56) & % 87.52/12.47 op(all_9_56, e3) = e1 & op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 87.52/12.48 all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) & $i(all_9_48) & % 87.52/12.48 $i(all_9_56)) | (all_9_29 = e1 & ~ (all_9_28 = e2) & ~ (all_9_53 = % 87.52/12.48 all_9_57) & op(all_9_57, e2) = e1 & op(all_9_57, e1) = all_9_28 & % 87.52/12.48 op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & $i(all_9_28) & % 87.52/12.48 $i(all_9_53) & $i(all_9_57)) | (all_9_31 = e1 & ~ (all_9_30 = e0) & % 87.52/12.48 ~ (all_9_59 = all_9_63) & op(all_9_59, e1) = all_9_30 & op(all_9_59, % 87.52/12.48 e0) = e1 & op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & % 87.52/12.48 $i(all_9_30) & $i(all_9_59) & $i(all_9_63)) | (all_9_33 = e0 & ~ % 87.52/12.48 (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & op(all_9_60, e4) = e0 & % 87.52/12.48 op(all_9_60, e0) = all_9_32 & op(e4, e0) = all_9_44 & op(e0, e4) = % 87.52/12.48 all_9_60 & $i(all_9_32) & $i(all_9_44) & $i(all_9_60)) | (all_9_35 = % 87.52/12.48 e0 & ~ (all_9_34 = e3) & ~ (all_9_49 = all_9_61) & op(all_9_61, e3) % 87.52/12.48 = e0 & op(all_9_61, e0) = all_9_34 & op(e3, e0) = all_9_49 & op(e0, % 87.52/12.48 e3) = all_9_61 & $i(all_9_34) & $i(all_9_49) & $i(all_9_61)) | % 87.52/12.48 (all_9_37 = e0 & ~ (all_9_36 = e2) & ~ (all_9_54 = all_9_62) & % 87.52/12.48 op(all_9_62, e2) = e0 & op(all_9_62, e0) = all_9_36 & op(e2, e0) = % 87.52/12.48 all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_36) & $i(all_9_54) & % 87.52/12.48 $i(all_9_62)) | (all_9_39 = e0 & ~ (all_9_38 = e1) & ~ (all_9_59 = % 87.52/12.48 all_9_63) & op(all_9_63, e1) = e0 & op(all_9_63, e0) = all_9_38 & % 87.52/12.48 op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & $i(all_9_38) & % 87.52/12.48 $i(all_9_59) & $i(all_9_63)) % 87.52/12.48 (33) (all_8_0 = e3 & op(e4, e4) = e3) | (all_8_2 = e3 & op(e3, e4) = e3) | % 87.52/12.48 (all_8_6 = e3 & op(e2, e4) = e3) | (all_8_12 = e3 & op(e1, e4) = e3) | % 87.52/12.48 (all_8_20 = e3 & op(e0, e4) = e3) % 87.52/12.48 (34) all_4_13 = e2 | ~ (op(e1, e2) = e2) % 87.52/12.48 (35) all_6_22 = e2 | ~ (op(e0, e2) = e2) % 87.52/12.48 (36) (all_8_6 = e2 & op(e2, e4) = e2) | (all_8_7 = e2 & op(e2, e3) = e2) | % 87.52/12.48 (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_11 = e2 & op(e2, e1) = e2) | % 87.52/12.48 (all_8_18 = e2 & op(e2, e0) = e2) % 87.52/12.48 (37) (all_8_24 = e0 & op(e0, e0) = e0) | (((all_8_16 = e0 & op(e4, e0) = e0) % 87.52/12.48 | (all_8_17 = e0 & op(e3, e0) = e0) | (all_8_18 = e0 & op(e2, e0) = % 87.52/12.48 e0) | (all_8_19 = e0 & op(e1, e0) = e0)) & ((all_8_20 = e0 & % 87.52/12.48 op(e0, e4) = e0) | (all_8_21 = e0 & op(e0, e3) = e0) | (all_8_22 = % 87.52/12.48 e0 & op(e0, e2) = e0) | (all_8_23 = e0 & op(e0, e1) = e0))) % 87.52/12.48 (38) ~ (all_4_15 = all_4_17) % 87.52/12.48 (39) ~ (e3 = e1) % 87.52/12.48 (40) op(unit, e2) = e2 % 87.52/12.48 (41) ~ (all_4_19 = all_4_24) % 87.52/12.48 (42) all_6_20 = e0 | ~ (op(e0, e4) = e0) % 87.52/12.48 (43) ~ (all_4_21 = e1) % 87.52/12.48 (44) all_6_22 = all_4_14 % 87.52/12.48 (45) ~ (all_4_14 = all_4_24) % 87.52/12.48 (46) ~ (all_4_4 = all_4_14) % 87.52/12.48 (47) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 & op(e1, e3) = e3) | % 87.52/12.48 (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 & op(e1, e1) = e3) | % 87.52/12.48 (all_8_19 = e3 & op(e1, e0) = e3) % 87.52/12.48 (48) all_6_2 = e2 | ~ (op(e4, e2) = e2) % 87.52/12.48 (49) ~ (all_4_4 = all_4_9) % 87.52/12.48 (50) all_6_24 = all_4_24 % 87.52/12.48 (51) ~ (e4 = e1) % 87.52/12.48 (52) all_4_4 = e4 | ~ (op(e0, e4) = e4) % 87.52/12.48 (53) e1 = e0 | ~ (op(e1, e1) = e1) % 87.52/12.48 (54) op(unit, e0) = e0 % 87.52/12.48 (55) op(e1, e1) = e0 % 87.52/12.48 (56) ~ (all_4_7 = all_4_9) % 87.52/12.48 (57) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) | % 87.52/12.48 (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 87.52/12.48 (all_8_23 = e1 & op(e0, e1) = e1) % 87.52/12.48 (58) all_6_20 = all_4_4 % 87.52/12.48 (59) (all_8_16 = e1 & op(e4, e0) = e1) | (all_8_17 = e1 & op(e3, e0) = e1) | % 87.52/12.48 (all_8_18 = e1 & op(e2, e0) = e1) | (all_8_19 = e1 & op(e1, e0) = e1) | % 87.52/12.48 (all_8_24 = e1 & op(e0, e0) = e1) % 87.52/12.48 (60) ~ (all_4_10 = all_4_13) % 87.52/12.48 (61) ~ (all_4_23 = all_4_24) % 87.52/12.48 (62) all_8_3 = e4 % 87.52/12.48 (63) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 87.52/12.48 (64) all_6_21 = all_4_9 % 87.52/12.48 (65) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 % 87.52/12.48 = e0 % 87.52/12.48 (66) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 87.52/12.48 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 87.52/12.48 (all_8_17 = e3 & op(e3, e0) = e3) % 87.52/12.48 (67) all_6_0 = all_4_0 % 87.52/12.48 (68) ~ (all_4_3 = all_4_13) % 87.52/12.48 (69) all_4_8 = e3 | ~ (op(e1, e3) = e3) % 87.52/12.48 (70) op(e3, e1) = all_4_16 % 87.52/12.48 (71) op(e0, e2) = all_4_14 % 87.52/12.48 (72) op(e3, e0) = all_4_21 % 87.52/12.48 (73) ~ (all_4_16 = all_4_21) % 87.52/12.48 (74) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | all_6_22 % 87.52/12.48 = e0 % 87.52/12.48 (75) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 87.52/12.48 (76) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 87.52/12.48 (77) ~ (all_4_1 = all_4_21) % 87.52/12.48 (78) all_6_21 = e0 | ~ (op(e0, e3) = e0) % 87.52/12.48 (79) ~ (all_4_9 = all_4_19) % 87.52/12.48 (80) op(e1, unit) = e1 % 87.52/12.48 (81) ~ (all_4_10 = all_4_14) % 87.52/12.48 (82) all_6_22 = e0 | ~ (op(e0, e2) = e0) % 87.52/12.48 (83) e2 = e1 | ~ (op(e3, e2) = e2) % 87.52/12.48 (84) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 87.52/12.48 (85) all_4_14 = e2 | ~ (op(e0, e2) = e2) % 87.52/12.48 (86) all_6_4 = all_4_20 % 87.52/12.48 (87) ~ (all_4_16 = e0) % 87.52/12.48 (88) op(e3, e2) = e1 % 87.63/12.48 (89) all_6_18 = e1 | ~ (op(e1, e1) = e1) % 87.63/12.48 (90) ~ (all_4_23 = e0) % 87.63/12.48 (91) all_8_15 = e0 % 87.63/12.48 (92) ~ (all_4_7 = all_4_17) % 87.63/12.48 (93) ~ (e4 = e3) % 87.63/12.48 (94) all_6_16 = e3 | ~ (op(e1, e3) = e3) % 87.63/12.48 (95) op(e1, e3) = all_4_8 % 87.63/12.48 (96) all_6_19 = e0 | ~ (op(e1, e0) = e0) % 87.63/12.48 (97) all_6_23 = e1 | ~ (op(e0, e1) = e1) % 87.63/12.48 (98) (all_8_9 = e3 & op(e4, e1) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 87.63/12.48 (all_8_11 = e3 & op(e2, e1) = e3) | (all_8_15 = e3 & op(e1, e1) = e3) | % 87.63/12.48 (all_8_23 = e3 & op(e0, e1) = e3) % 87.63/12.48 (99) all_6_0 = e4 | ~ (op(e4, e4) = e4) % 87.63/12.48 (100) all_6_11 = all_4_7 % 87.63/12.48 (101) ~ (all_4_16 = all_4_17) % 87.63/12.48 (102) op(e2, e2) = e3 % 87.63/12.48 (103) op(e2, e3) = all_4_7 % 87.63/12.48 (104) all_6_2 = e4 | ~ (op(e4, e2) = e4) % 87.63/12.48 (105) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & op(e3, e4) = e4) | % 87.63/12.48 (all_8_6 = e4 & op(e2, e4) = e4) | (all_8_12 = e4 & op(e1, e4) = e4) | % 87.63/12.48 (all_8_20 = e4 & op(e0, e4) = e4) % 87.63/12.48 (106) ~ (all_4_13 = all_4_14) % 87.63/12.48 (107) (all_8_1 = e0 & op(e4, e3) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 87.63/12.48 (all_8_7 = e0 & op(e2, e3) = e0) | (all_8_13 = e0 & op(e1, e3) = e0) | % 87.63/12.48 (all_8_21 = e0 & op(e0, e3) = e0) % 87.63/12.48 (108) all_4_12 = e2 | ~ (op(e2, e2) = e2) % 87.63/12.48 (109) all_4_8 = e1 | ~ (op(e1, e3) = e1) % 87.63/12.48 (110) ~ (all_4_7 = e4) % 87.63/12.48 (111) ~ (all_4_21 = all_4_24) % 87.63/12.48 (112) ~ (e1 = e0) % 87.63/12.48 (113) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 87.63/12.48 (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) | % 87.63/12.48 (all_8_17 = e0 & op(e3, e0) = e0) % 87.63/12.48 (114) all_6_24 = e0 | ~ (op(e0, e0) = e0) % 87.63/12.48 (115) ~ (all_4_10 = all_4_15) % 87.63/12.48 (116) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & op(e3, e2) = e0) | % 87.63/12.48 (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 & op(e1, e2) = e0) | % 87.63/12.48 (all_8_22 = e0 & op(e0, e2) = e0) % 87.63/12.48 (117) all_4_10 = e2 | ~ (op(e4, e2) = e2) % 87.63/12.48 (118) all_4_21 = e0 | ~ (op(e3, e0) = e0) % 87.63/12.48 (119) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 87.63/12.48 (120) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 87.63/12.48 (121) all_4_12 = e3 % 87.63/12.49 (122) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_7 = e1 & op(e2, e3) = e1) | % 87.63/12.49 (all_8_8 = e1 & op(e2, e2) = e1) | (all_8_11 = e1 & op(e2, e1) = e1) | % 87.63/12.49 (all_8_18 = e1 & op(e2, e0) = e1) % 87.63/12.49 (123) ~ (all_4_1 = all_4_4) % 87.63/12.49 (124) all_4_10 = e4 | ~ (op(e4, e2) = e4) % 87.63/12.49 (125) ~ (e3 = e0) % 87.63/12.49 (126) all_6_10 = e4 | ~ (op(e2, e4) = e4) % 87.63/12.49 (127) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 87.63/12.49 (128) ~ (all_4_16 = all_4_19) % 87.63/12.49 (129) ~ (all_4_5 = all_4_7) % 87.63/12.49 (130) ~ (all_4_5 = all_4_9) % 87.63/12.49 (131) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = % 87.63/12.49 e0 % 87.63/12.49 (132) all_4_3 = e4 | ~ (op(e1, e4) = e4) % 87.63/12.49 (133) ~ (all_4_0 = all_4_4) % 87.63/12.49 (134) all_6_16 = all_4_8 % 87.63/12.49 (135) ~ (all_4_5 = e4) % 87.63/12.49 (136) all_6_10 = all_4_2 % 87.63/12.49 (137) ~ (all_4_3 = all_4_4) % 87.63/12.49 (138) ~ (all_4_8 = all_4_23) % 87.63/12.49 (139) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_1 = e1 & op(e4, e3) = e1) | % 87.63/12.49 (all_8_4 = e1 & op(e4, e2) = e1) | (all_8_9 = e1 & op(e4, e1) = e1) | % 87.63/12.49 (all_8_16 = e1 & op(e4, e0) = e1) % 87.63/12.49 (140) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = % 87.63/12.49 e0 % 87.63/12.49 (141) all_4_5 = e3 | ~ (op(e4, e3) = e3) % 87.63/12.49 (142) ~ (all_4_13 = e1) % 87.63/12.49 (143) op(e1, e2) = all_4_13 % 87.63/12.49 (144) ~ (all_4_21 = e4) % 87.63/12.49 (145) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = % 87.63/12.49 e0 % 87.63/12.49 (146) ~ (all_4_10 = e1) % 87.63/12.49 (147) all_6_8 = all_4_16 % 87.63/12.49 (148) ~ (all_4_5 = all_4_8) % 87.63/12.49 (149) ~ (all_4_16 = e4) % 87.63/12.49 (150) ~ (all_4_5 = all_4_10) % 87.63/12.49 (151) ~ (all_4_2 = all_4_4) % 87.63/12.49 (152) ~ (all_4_14 = e1) % 87.63/12.49 (153) op(e0, unit) = e0 % 87.63/12.49 (154) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) | % 87.63/12.49 (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) | % 87.63/12.49 (all_8_22 = e4 & op(e0, e2) = e4) % 87.63/12.49 (155) ~ (all_4_9 = all_4_14) % 87.63/12.49 (156) op(e2, e1) = all_4_17 % 87.63/12.49 (157) ~ (all_4_15 = all_4_19) % 87.63/12.49 (158) ~ (all_4_8 = all_4_9) % 87.63/12.49 (159) (all_8_9 = e4 & op(e4, e1) = e4) | (all_8_10 = e4 & op(e3, e1) = e4) | % 87.63/12.49 (all_8_11 = e4 & op(e2, e1) = e4) | (all_8_15 = e4 & op(e1, e1) = e4) | % 87.63/12.49 (all_8_23 = e4 & op(e0, e1) = e4) % 87.63/12.49 (160) ~ (all_4_5 = all_4_15) % 87.63/12.49 (161) ~ (all_4_13 = e0) % 87.63/12.49 (162) op(e4, e3) = all_4_5 % 87.63/12.49 (163) all_8_5 = e1 % 87.63/12.49 (164) all_6_19 = e1 | ~ (op(e1, e0) = e1) % 87.63/12.49 (165) op(unit, e1) = e1 % 87.63/12.49 (166) all_4_9 = e3 | ~ (op(e0, e3) = e3) % 87.63/12.49 (167) all_6_13 = all_4_17 % 87.63/12.49 (168) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 87.63/12.49 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 87.63/12.49 (169) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 87.63/12.49 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 87.63/12.49 (all_8_17 = e2 & op(e3, e0) = e2) % 87.63/12.49 (170) all_4_19 = e0 | ~ (op(e0, e1) = e0) % 87.63/12.49 (171) ~ (all_4_4 = all_4_24) % 87.63/12.50 (172) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 % 87.63/12.50 & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 87.63/12.50 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 87.63/12.50 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit % 87.63/12.50 = e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = % 87.63/12.50 e4) | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 87.63/12.50 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) % 87.63/12.50 = all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 87.63/12.50 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 87.63/12.50 = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.63/12.50 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) % 87.63/12.50 = all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 87.63/12.50 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) % 87.63/12.50 = all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.63/12.50 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 87.63/12.50 = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 87.63/12.50 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) % 87.63/12.50 = all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.63/12.50 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) % 87.63/12.50 = all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 87.63/12.50 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 87.63/12.50 = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.63/12.50 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) % 87.63/12.50 = all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 87.63/12.50 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) % 87.63/12.50 = all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | % 87.63/12.50 ( ~ (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.63/12.50 (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 % 87.63/12.50 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 87.63/12.50 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 87.63/12.50 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit % 87.63/12.50 = e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = % 87.63/12.50 e3) | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 87.63/12.50 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) % 87.63/12.50 = all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 87.63/12.50 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) % 87.63/12.50 = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.63/12.50 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 87.63/12.50 = all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 87.63/12.50 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) % 87.63/12.50 = all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.63/12.50 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) % 87.63/12.50 = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 87.63/12.50 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 87.63/12.50 = all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.63/12.50 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) % 87.63/12.50 = all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 87.63/12.50 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) % 87.63/12.50 = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.63/12.50 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 87.63/12.50 = all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 87.63/12.50 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) % 87.63/12.50 = all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | % 87.63/12.50 ( ~ (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.63/12.50 (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = all_9_52 % 87.63/12.50 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & $i(all_9_42) & % 87.63/12.50 $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & $i(all_9_62) & ( ~ % 87.63/12.50 (all_9_42 = e2) | ~ (unit = e2)) & ( ~ (all_9_47 = e2) | ~ (unit % 87.63/12.50 = e2)) & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ (all_9_57 = % 87.63/12.50 e2) | ~ (unit = e2)) & ( ~ (all_9_62 = e2) | ~ (unit = e2)) & % 87.63/12.50 ((all_9_42 = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) % 87.63/12.50 = all_9_40 & $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.63/12.50 ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 87.63/12.50 = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.63/12.50 ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & op(e3, e4) % 87.63/12.50 = all_9_45 & $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_46 = e2) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.63/12.50 ((all_9_47 = e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) % 87.63/12.50 = all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.63/12.50 ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 87.63/12.50 = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.63/12.50 ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) % 87.63/12.50 = all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_54 = e2) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.63/12.50 ((all_9_57 = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) % 87.63/12.50 = all_9_55 & $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.63/12.50 ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 87.63/12.50 = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.63/12.50 ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & op(e0, e4) % 87.63/12.50 = all_9_60 & $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_61 = e2) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.63/12.50 ((all_9_62 = e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) % 87.63/12.50 = all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | % 87.63/12.50 ( ~ (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.63/12.50 (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 % 87.63/12.50 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & $i(all_9_43) & % 87.63/12.50 $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & $i(all_9_63) & ( ~ % 87.63/12.50 (all_9_43 = e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) | ~ (unit % 87.63/12.50 = e1)) & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ (all_9_58 = % 87.63/12.50 e1) | ~ (unit = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = e1)) & % 87.63/12.50 ((all_9_43 = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) % 87.63/12.50 = all_9_40 & $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.63/12.50 ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 87.63/12.50 = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.63/12.50 ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 87.63/12.50 = all_9_45 & $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_46 = e1) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.63/12.50 ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) % 87.63/12.50 = all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.63/12.50 ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 87.63/12.50 = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.63/12.50 ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 87.63/12.50 = all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_54 = e1) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.63/12.50 ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) % 87.63/12.50 = all_9_55 & $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.63/12.50 ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 87.63/12.50 = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.63/12.50 ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 87.63/12.50 = all_9_60 & $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_61 = e1) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.63/12.50 ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) % 87.63/12.50 = all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | % 87.63/12.50 ( ~ (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.63/12.50 (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 % 87.63/12.50 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & $i(all_9_44) & % 87.63/12.50 $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 87.63/12.50 (all_9_44 = e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) | ~ (unit % 87.63/12.50 = e0)) & ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ (all_9_59 = % 87.63/12.50 e0) | ~ (unit = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = e0)) & % 87.63/12.50 ((all_9_44 = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) % 87.63/12.50 = all_9_40 & $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.63/12.50 ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 87.63/12.50 = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 87.63/12.50 ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 87.63/12.50 = all_9_45 & $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_46 = e0) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.63/12.50 ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) % 87.63/12.50 = all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 87.63/12.50 ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 87.63/12.50 = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.63/12.50 ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 87.63/12.50 = all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_53 = e0) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 87.63/12.50 ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) % 87.63/12.50 = all_9_55 & $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.63/12.50 ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 87.63/12.50 = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 87.63/12.50 ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 87.63/12.50 = all_9_60 & $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_61 = e0) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.63/12.50 ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) % 87.63/12.50 = all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | % 87.63/12.50 ( ~ (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 87.63/12.50 (173) ~ (all_4_10 = all_4_20) % 87.63/12.50 (174) all_6_3 = all_4_15 % 87.63/12.50 (175) ~ (all_4_17 = e3) % 87.63/12.50 (176) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 87.63/12.50 all_6_17 = e0 % 87.63/12.50 (177) all_8_8 = e4 % 87.63/12.50 (178) e3 = e1 | ~ (op(e3, e2) = e3) % 87.63/12.50 (179) ~ (all_4_16 = e1) % 87.63/12.50 (180) op(e3, unit) = e3 % 87.63/12.50 (181) ~ (all_4_8 = e0) % 87.63/12.50 (182) all_4_16 = e3 | ~ (op(e3, e1) = e3) % 87.63/12.50 (183) ~ (all_4_10 = e3) % 87.63/12.50 (184) ~ (e4 = e2) % 87.63/12.50 (185) (all_8_20 = e3 & op(e0, e4) = e3) | (all_8_21 = e3 & op(e0, e3) = e3) | % 87.63/12.50 (all_8_22 = e3 & op(e0, e2) = e3) | (all_8_23 = e3 & op(e0, e1) = e3) | % 87.63/12.50 (all_8_24 = e3 & op(e0, e0) = e3) % 87.63/12.50 (186) op(e0, e3) = all_4_9 % 87.63/12.50 (187) (all_8_0 = e2 & op(e4, e4) = e2) | (all_8_1 = e2 & op(e4, e3) = e2) | % 87.63/12.50 (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_9 = e2 & op(e4, e1) = e2) | % 87.63/12.50 (all_8_16 = e2 & op(e4, e0) = e2) % 87.63/12.50 (188) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_13 = e1 & op(e1, e3) = e1) | % 87.63/12.50 (all_8_14 = e1 & op(e1, e2) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 87.63/12.50 (all_8_19 = e1 & op(e1, e0) = e1) % 87.63/12.50 % 87.63/12.50 Begin of proof % 87.63/12.50 | % 87.63/12.50 | BETA: splitting (34) gives: % 87.63/12.50 | % 87.63/12.50 | Case 1: % 87.63/12.50 | | % 87.63/12.50 | | (189) ~ (op(e1, e2) = e2) % 87.63/12.50 | | % 87.63/12.50 | | PRED_UNIFY: (13), (189) imply: % 87.63/12.50 | | (190) $false % 87.63/12.50 | | % 87.63/12.50 | | CLOSE: (190) is inconsistent. % 87.63/12.50 | | % 87.63/12.50 | Case 2: % 87.63/12.50 | | % 87.63/12.50 | | (191) all_4_13 = e2 % 87.63/12.50 | | % 87.63/12.50 | | REDUCE: (29), (191) imply: % 87.63/12.50 | | (192) ~ (e3 = e2) % 87.63/12.50 | | % 87.63/12.50 | | SIMP: (192) implies: % 87.63/12.50 | | (193) ~ (e3 = e2) % 87.63/12.50 | | % 87.63/12.50 | | REDUCE: (142), (191) imply: % 87.63/12.50 | | (194) ~ (e2 = e1) % 87.63/12.50 | | % 87.63/12.50 | | REDUCE: (161), (191) imply: % 87.63/12.50 | | (195) ~ (e2 = e0) % 87.63/12.50 | | % 87.63/12.50 | | GROUND_INST: instantiating (168) with e3, e4, e2, e2, simplifying with (4), % 87.63/12.50 | | (102) gives: % 87.63/12.50 | | (196) e4 = e3 % 87.63/12.50 | | % 87.63/12.50 | | COMBINE_EQS: (177), (196) imply: % 87.63/12.50 | | (197) all_8_8 = e3 % 87.63/12.50 | | % 87.63/12.50 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (14), % 87.63/12.50 | | (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), % 87.63/12.50 | | (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), % 87.63/12.50 | | (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), % 87.63/12.50 | | (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58), % 87.63/12.50 | | (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69), % 87.63/12.50 | | (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (80), % 87.63/12.50 | | (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91), % 87.63/12.50 | | (92), (93), (94), (95), (96), (97), (98), (99), (100), (101), % 87.63/12.50 | | (102), (103), (104), (105), (106), (107), (108), (109), (110), % 87.63/12.50 | | (111), (112), (113), (114), (115), (116), (117), (118), (119), % 87.63/12.50 | | (120), (121), (122), (123), (124), (125), (126), (127), (128), % 87.63/12.50 | | (129), (130), (131), (132), (133), (134), (135), (136), (137), % 87.63/12.50 | | (138), (139), (140), (141), (142), (143), (144), (145), (146), % 87.63/12.50 | | (147), (148), (149), (150), (151), (152), (153), (154), (155), % 87.63/12.50 | | (156), (157), (158), (159), (160), (161), (162), (163), (164), % 87.63/12.50 | | (165), (166), (167), (168), (169), (170), (171), (172), (173), % 87.63/12.50 | | (174), (175), (176), (178), (179), (180), (181), (182), (183), % 87.63/12.50 | | (184), (185), (186), (187), (188), (193), (194), (195), (197) are % 87.63/12.50 | | inconsistent by sub-proof #27. % 87.63/12.50 | | % 87.63/12.50 | End of split % 87.63/12.50 | % 87.63/12.50 End of proof % 87.63/12.50 % 87.63/12.50 Sub-proof #27 shows that the following formulas are inconsistent: % 87.63/12.50 ---------------------------------------------------------------- % 87.63/12.50 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 87.63/12.50 (2) op(unit, e4) = e4 % 87.63/12.50 (3) ~ (all_4_9 = all_4_24) % 87.63/12.50 (4) all_6_3 = e4 | ~ (op(e4, e1) = e4) % 87.63/12.50 (5) op(e4, e2) = all_4_10 % 87.63/12.50 (6) all_6_19 = all_4_23 % 87.63/12.50 (7) ~ (all_4_1 = all_4_16) % 87.63/12.50 (8) all_4_1 = e4 | ~ (op(e3, e4) = e4) % 87.63/12.50 (9) ~ (all_4_7 = all_4_8) % 87.63/12.50 (10) op(e4, unit) = e4 % 87.63/12.50 (11) all_4_21 = e3 | ~ (op(e3, e0) = e3) % 87.63/12.50 (12) all_4_15 = e4 | ~ (op(e4, e1) = e4) % 87.63/12.50 (13) all_6_4 = e0 | ~ (op(e4, e0) = e0) % 87.63/12.50 (14) (all_8_16 = e2 & op(e4, e0) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) | % 87.63/12.50 (all_8_18 = e2 & op(e2, e0) = e2) | (all_8_19 = e2 & op(e1, e0) = e2) | % 87.63/12.50 (all_8_24 = e2 & op(e0, e0) = e2) % 87.63/12.50 (15) ~ (all_4_7 = e3) % 87.63/12.50 (16) all_6_9 = all_4_21 % 87.63/12.50 (17) all_6_1 = all_4_5 % 87.63/12.51 (18) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_1 = e4 & op(e4, e3) = e4) | % 87.63/12.51 (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_9 = e4 & op(e4, e1) = e4) | % 87.63/12.51 (all_8_16 = e4 & op(e4, e0) = e4) % 87.63/12.51 (19) all_6_23 = all_4_19 % 87.63/12.51 (20) ~ (all_4_17 = all_4_19) % 87.63/12.51 (21) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 % 87.63/12.51 = e0 % 87.63/12.51 (22) all_6_17 = all_4_13 % 87.63/12.51 (23) op(e3, e4) = all_4_1 % 87.63/12.51 (24) ~ (all_4_14 = e3) % 87.63/12.51 (25) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) | % 87.63/12.51 (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 & op(e1, e2) = e2) | % 87.63/12.51 (all_8_22 = e2 & op(e0, e2) = e2) % 87.63/12.51 (26) ~ (all_4_8 = all_4_13) % 87.63/12.51 (27) ~ (all_4_13 = e3) % 87.63/12.51 (28) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 87.63/12.51 (29) all_6_2 = all_4_10 % 87.63/12.51 (30) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = all_9_45) & % 87.63/12.51 op(all_9_41, e4) = all_9_0 & op(all_9_41, e3) = e4 & op(e4, e3) = % 87.63/12.51 all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_0) & $i(all_9_41) & % 87.63/12.51 $i(all_9_45)) | (all_9_3 = e4 & ~ (all_9_2 = e2) & ~ (all_9_42 = % 87.63/12.51 all_9_50) & op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = e4 & % 87.63/12.51 op(e4, e2) = all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_2) & % 87.63/12.51 $i(all_9_42) & $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = e1) & ~ % 87.63/12.51 (all_9_43 = all_9_55) & op(all_9_43, e4) = all_9_4 & op(all_9_43, e1) % 87.63/12.51 = e4 & op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & $i(all_9_4) & % 87.63/12.51 $i(all_9_43) & $i(all_9_55)) | (all_9_7 = e4 & ~ (all_9_6 = e0) & ~ % 87.63/12.51 (all_9_44 = all_9_60) & op(all_9_44, e4) = all_9_6 & op(all_9_44, e0) % 87.63/12.51 = e4 & op(e4, e0) = all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_6) & % 87.63/12.51 $i(all_9_44) & $i(all_9_60)) | (all_9_9 = e3 & ~ (all_9_8 = e4) & ~ % 87.63/12.51 (all_9_41 = all_9_45) & op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 87.63/12.51 all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_8) % 87.63/12.51 & $i(all_9_41) & $i(all_9_45)) | (all_9_11 = e3 & ~ (all_9_10 = e2) & % 87.63/12.51 ~ (all_9_47 = all_9_51) & op(all_9_47, e3) = all_9_10 & op(all_9_47, % 87.63/12.51 e2) = e3 & op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & % 87.63/12.51 $i(all_9_10) & $i(all_9_47) & $i(all_9_51)) | (all_9_13 = e3 & ~ % 87.63/12.51 (all_9_12 = e1) & ~ (all_9_48 = all_9_56) & op(all_9_48, e3) = % 87.63/12.51 all_9_12 & op(all_9_48, e1) = e3 & op(e3, e1) = all_9_48 & op(e1, e3) % 87.63/12.51 = all_9_56 & $i(all_9_12) & $i(all_9_48) & $i(all_9_56)) | (all_9_15 = % 87.63/12.51 e3 & ~ (all_9_14 = e0) & ~ (all_9_49 = all_9_61) & op(all_9_49, e3) % 87.63/12.51 = all_9_14 & op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & op(e0, % 87.63/12.51 e3) = all_9_61 & $i(all_9_14) & $i(all_9_49) & $i(all_9_61)) | % 87.63/12.51 (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 = all_9_50) & % 87.63/12.51 op(all_9_50, e4) = e2 & op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 87.63/12.51 all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) & $i(all_9_42) & % 87.63/12.51 $i(all_9_50)) | (all_9_19 = e2 & ~ (all_9_18 = e3) & ~ (all_9_47 = % 87.63/12.51 all_9_51) & op(all_9_51, e3) = e2 & op(all_9_51, e2) = all_9_18 & % 87.63/12.51 op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_18) & % 87.63/12.51 $i(all_9_47) & $i(all_9_51)) | (all_9_21 = e2 & ~ (all_9_20 = e1) & % 87.63/12.51 ~ (all_9_53 = all_9_57) & op(all_9_53, e2) = all_9_20 & op(all_9_53, % 87.63/12.51 e1) = e2 & op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & % 87.63/12.51 $i(all_9_20) & $i(all_9_53) & $i(all_9_57)) | (all_9_23 = e2 & ~ % 87.63/12.51 (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & op(all_9_54, e2) = % 87.63/12.51 all_9_22 & op(all_9_54, e0) = e2 & op(e2, e0) = all_9_54 & op(e0, e2) % 87.63/12.51 = all_9_62 & $i(all_9_22) & $i(all_9_54) & $i(all_9_62)) | (all_9_25 = % 87.63/12.51 e1 & ~ (all_9_24 = e4) & ~ (all_9_43 = all_9_55) & op(all_9_55, e4) % 87.63/12.51 = e1 & op(all_9_55, e1) = all_9_24 & op(e4, e1) = all_9_43 & op(e1, % 87.63/12.51 e4) = all_9_55 & $i(all_9_24) & $i(all_9_43) & $i(all_9_55)) | % 87.63/12.51 (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 = all_9_56) & % 87.63/12.51 op(all_9_56, e3) = e1 & op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 87.63/12.51 all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) & $i(all_9_48) & % 87.63/12.51 $i(all_9_56)) | (all_9_29 = e1 & ~ (all_9_28 = e2) & ~ (all_9_53 = % 87.63/12.51 all_9_57) & op(all_9_57, e2) = e1 & op(all_9_57, e1) = all_9_28 & % 87.63/12.51 op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & $i(all_9_28) & % 87.63/12.51 $i(all_9_53) & $i(all_9_57)) | (all_9_31 = e1 & ~ (all_9_30 = e0) & % 87.63/12.51 ~ (all_9_59 = all_9_63) & op(all_9_59, e1) = all_9_30 & op(all_9_59, % 87.63/12.51 e0) = e1 & op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & % 87.63/12.51 $i(all_9_30) & $i(all_9_59) & $i(all_9_63)) | (all_9_33 = e0 & ~ % 87.63/12.51 (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & op(all_9_60, e4) = e0 & % 87.63/12.51 op(all_9_60, e0) = all_9_32 & op(e4, e0) = all_9_44 & op(e0, e4) = % 87.63/12.51 all_9_60 & $i(all_9_32) & $i(all_9_44) & $i(all_9_60)) | (all_9_35 = % 87.63/12.51 e0 & ~ (all_9_34 = e3) & ~ (all_9_49 = all_9_61) & op(all_9_61, e3) % 87.63/12.51 = e0 & op(all_9_61, e0) = all_9_34 & op(e3, e0) = all_9_49 & op(e0, % 87.63/12.51 e3) = all_9_61 & $i(all_9_34) & $i(all_9_49) & $i(all_9_61)) | % 87.63/12.51 (all_9_37 = e0 & ~ (all_9_36 = e2) & ~ (all_9_54 = all_9_62) & % 87.63/12.51 op(all_9_62, e2) = e0 & op(all_9_62, e0) = all_9_36 & op(e2, e0) = % 87.63/12.51 all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_36) & $i(all_9_54) & % 87.63/12.51 $i(all_9_62)) | (all_9_39 = e0 & ~ (all_9_38 = e1) & ~ (all_9_59 = % 87.63/12.51 all_9_63) & op(all_9_63, e1) = e0 & op(all_9_63, e0) = all_9_38 & % 87.63/12.51 op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & $i(all_9_38) & % 87.63/12.51 $i(all_9_59) & $i(all_9_63)) % 87.63/12.51 (31) (all_8_0 = e3 & op(e4, e4) = e3) | (all_8_2 = e3 & op(e3, e4) = e3) | % 87.63/12.51 (all_8_6 = e3 & op(e2, e4) = e3) | (all_8_12 = e3 & op(e1, e4) = e3) | % 87.63/12.51 (all_8_20 = e3 & op(e0, e4) = e3) % 87.63/12.51 (32) all_4_13 = e2 | ~ (op(e1, e2) = e2) % 87.63/12.51 (33) all_6_22 = e2 | ~ (op(e0, e2) = e2) % 87.63/12.51 (34) (all_8_6 = e2 & op(e2, e4) = e2) | (all_8_7 = e2 & op(e2, e3) = e2) | % 87.63/12.51 (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_11 = e2 & op(e2, e1) = e2) | % 87.63/12.51 (all_8_18 = e2 & op(e2, e0) = e2) % 87.63/12.51 (35) (all_8_24 = e0 & op(e0, e0) = e0) | (((all_8_16 = e0 & op(e4, e0) = e0) % 87.63/12.51 | (all_8_17 = e0 & op(e3, e0) = e0) | (all_8_18 = e0 & op(e2, e0) = % 87.63/12.51 e0) | (all_8_19 = e0 & op(e1, e0) = e0)) & ((all_8_20 = e0 & % 87.63/12.51 op(e0, e4) = e0) | (all_8_21 = e0 & op(e0, e3) = e0) | (all_8_22 = % 87.63/12.51 e0 & op(e0, e2) = e0) | (all_8_23 = e0 & op(e0, e1) = e0))) % 87.63/12.51 (36) ~ (all_4_15 = all_4_17) % 87.63/12.51 (37) ~ (e3 = e1) % 87.63/12.51 (38) op(unit, e2) = e2 % 87.63/12.51 (39) ~ (all_4_19 = all_4_24) % 87.63/12.51 (40) all_6_20 = e0 | ~ (op(e0, e4) = e0) % 87.63/12.51 (41) ~ (all_4_21 = e1) % 87.63/12.51 (42) all_6_22 = all_4_14 % 87.63/12.51 (43) ~ (all_4_14 = all_4_24) % 87.63/12.51 (44) ~ (all_4_4 = all_4_14) % 87.63/12.51 (45) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 & op(e1, e3) = e3) | % 87.63/12.51 (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 & op(e1, e1) = e3) | % 87.63/12.51 (all_8_19 = e3 & op(e1, e0) = e3) % 87.63/12.51 (46) all_6_2 = e2 | ~ (op(e4, e2) = e2) % 87.63/12.51 (47) ~ (all_4_4 = all_4_9) % 87.63/12.51 (48) all_6_24 = all_4_24 % 87.63/12.51 (49) ~ (e4 = e1) % 87.63/12.51 (50) all_4_4 = e4 | ~ (op(e0, e4) = e4) % 87.63/12.51 (51) e1 = e0 | ~ (op(e1, e1) = e1) % 87.63/12.51 (52) op(unit, e0) = e0 % 87.63/12.51 (53) op(e1, e1) = e0 % 87.63/12.51 (54) ~ (all_4_7 = all_4_9) % 87.63/12.51 (55) ~ (e2 = e0) % 87.63/12.51 (56) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) | % 87.63/12.51 (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 87.63/12.51 (all_8_23 = e1 & op(e0, e1) = e1) % 87.63/12.51 (57) all_6_20 = all_4_4 % 87.63/12.51 (58) (all_8_16 = e1 & op(e4, e0) = e1) | (all_8_17 = e1 & op(e3, e0) = e1) | % 87.63/12.51 (all_8_18 = e1 & op(e2, e0) = e1) | (all_8_19 = e1 & op(e1, e0) = e1) | % 87.63/12.51 (all_8_24 = e1 & op(e0, e0) = e1) % 87.63/12.51 (59) ~ (all_4_10 = all_4_13) % 87.63/12.51 (60) ~ (all_4_23 = all_4_24) % 87.63/12.51 (61) all_8_3 = e4 % 87.63/12.52 (62) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 87.63/12.52 (63) all_6_21 = all_4_9 % 87.63/12.52 (64) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 % 87.63/12.52 = e0 % 87.63/12.52 (65) ~ (e2 = e1) % 87.63/12.52 (66) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 87.63/12.52 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 87.63/12.52 (all_8_17 = e3 & op(e3, e0) = e3) % 87.63/12.52 (67) all_6_0 = all_4_0 % 87.63/12.52 (68) ~ (all_4_3 = all_4_13) % 87.63/12.52 (69) all_4_8 = e3 | ~ (op(e1, e3) = e3) % 87.63/12.52 (70) op(e3, e1) = all_4_16 % 87.63/12.52 (71) op(e0, e2) = all_4_14 % 87.63/12.52 (72) op(e3, e0) = all_4_21 % 87.63/12.52 (73) ~ (all_4_16 = all_4_21) % 87.63/12.52 (74) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | all_6_22 % 87.63/12.52 = e0 % 87.63/12.52 (75) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 87.63/12.52 (76) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 87.63/12.52 (77) ~ (all_4_1 = all_4_21) % 87.63/12.52 (78) all_6_21 = e0 | ~ (op(e0, e3) = e0) % 87.63/12.52 (79) ~ (all_4_9 = all_4_19) % 87.63/12.52 (80) op(e1, unit) = e1 % 87.63/12.52 (81) ~ (all_4_10 = all_4_14) % 87.63/12.52 (82) all_6_22 = e0 | ~ (op(e0, e2) = e0) % 87.63/12.52 (83) e2 = e1 | ~ (op(e3, e2) = e2) % 87.63/12.52 (84) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 87.63/12.52 (85) all_4_14 = e2 | ~ (op(e0, e2) = e2) % 87.63/12.52 (86) all_6_4 = all_4_20 % 87.63/12.52 (87) ~ (all_4_16 = e0) % 87.63/12.52 (88) op(e3, e2) = e1 % 87.63/12.52 (89) all_6_18 = e1 | ~ (op(e1, e1) = e1) % 87.63/12.52 (90) ~ (all_4_23 = e0) % 87.63/12.52 (91) all_8_15 = e0 % 87.63/12.52 (92) ~ (all_4_7 = all_4_17) % 87.63/12.52 (93) ~ (e4 = e3) % 87.63/12.52 (94) all_6_16 = e3 | ~ (op(e1, e3) = e3) % 87.63/12.52 (95) op(e1, e3) = all_4_8 % 87.63/12.52 (96) all_6_19 = e0 | ~ (op(e1, e0) = e0) % 87.63/12.52 (97) all_6_23 = e1 | ~ (op(e0, e1) = e1) % 87.63/12.52 (98) (all_8_9 = e3 & op(e4, e1) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 87.63/12.52 (all_8_11 = e3 & op(e2, e1) = e3) | (all_8_15 = e3 & op(e1, e1) = e3) | % 87.63/12.52 (all_8_23 = e3 & op(e0, e1) = e3) % 87.63/12.52 (99) all_6_0 = e4 | ~ (op(e4, e4) = e4) % 87.63/12.52 (100) all_8_8 = e3 % 87.63/12.52 (101) all_6_11 = all_4_7 % 87.63/12.52 (102) ~ (all_4_16 = all_4_17) % 87.63/12.52 (103) op(e2, e2) = e3 % 87.63/12.52 (104) op(e2, e3) = all_4_7 % 87.63/12.52 (105) all_6_2 = e4 | ~ (op(e4, e2) = e4) % 87.63/12.52 (106) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & op(e3, e4) = e4) | % 87.63/12.52 (all_8_6 = e4 & op(e2, e4) = e4) | (all_8_12 = e4 & op(e1, e4) = e4) | % 87.63/12.52 (all_8_20 = e4 & op(e0, e4) = e4) % 87.63/12.52 (107) ~ (all_4_13 = all_4_14) % 87.63/12.52 (108) (all_8_1 = e0 & op(e4, e3) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 87.63/12.52 (all_8_7 = e0 & op(e2, e3) = e0) | (all_8_13 = e0 & op(e1, e3) = e0) | % 87.63/12.52 (all_8_21 = e0 & op(e0, e3) = e0) % 87.63/12.52 (109) all_4_12 = e2 | ~ (op(e2, e2) = e2) % 87.63/12.52 (110) all_4_8 = e1 | ~ (op(e1, e3) = e1) % 87.63/12.52 (111) ~ (all_4_7 = e4) % 87.63/12.52 (112) ~ (all_4_21 = all_4_24) % 87.63/12.52 (113) ~ (e1 = e0) % 87.63/12.52 (114) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 87.63/12.52 (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) | % 87.63/12.52 (all_8_17 = e0 & op(e3, e0) = e0) % 87.63/12.52 (115) all_6_24 = e0 | ~ (op(e0, e0) = e0) % 87.63/12.52 (116) ~ (all_4_10 = all_4_15) % 87.63/12.52 (117) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & op(e3, e2) = e0) | % 87.63/12.52 (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 & op(e1, e2) = e0) | % 87.63/12.52 (all_8_22 = e0 & op(e0, e2) = e0) % 87.63/12.52 (118) all_4_10 = e2 | ~ (op(e4, e2) = e2) % 87.63/12.52 (119) all_4_21 = e0 | ~ (op(e3, e0) = e0) % 87.63/12.52 (120) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 87.63/12.52 (121) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 87.63/12.52 (122) all_4_12 = e3 % 87.63/12.52 (123) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_7 = e1 & op(e2, e3) = e1) | % 87.63/12.52 (all_8_8 = e1 & op(e2, e2) = e1) | (all_8_11 = e1 & op(e2, e1) = e1) | % 87.63/12.52 (all_8_18 = e1 & op(e2, e0) = e1) % 87.63/12.52 (124) ~ (all_4_1 = all_4_4) % 87.63/12.52 (125) all_4_10 = e4 | ~ (op(e4, e2) = e4) % 87.63/12.52 (126) ~ (e3 = e0) % 87.63/12.52 (127) all_6_10 = e4 | ~ (op(e2, e4) = e4) % 87.63/12.52 (128) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 87.63/12.52 (129) ~ (all_4_16 = all_4_19) % 87.63/12.52 (130) ~ (all_4_5 = all_4_7) % 87.63/12.52 (131) ~ (all_4_5 = all_4_9) % 87.81/12.52 (132) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = % 87.81/12.52 e0 % 87.81/12.52 (133) all_4_3 = e4 | ~ (op(e1, e4) = e4) % 87.81/12.52 (134) ~ (all_4_0 = all_4_4) % 87.81/12.52 (135) all_6_16 = all_4_8 % 87.81/12.52 (136) ~ (all_4_5 = e4) % 87.81/12.52 (137) all_6_10 = all_4_2 % 87.81/12.52 (138) ~ (all_4_3 = all_4_4) % 87.81/12.52 (139) ~ (all_4_8 = all_4_23) % 87.81/12.52 (140) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_1 = e1 & op(e4, e3) = e1) | % 87.81/12.52 (all_8_4 = e1 & op(e4, e2) = e1) | (all_8_9 = e1 & op(e4, e1) = e1) | % 87.81/12.52 (all_8_16 = e1 & op(e4, e0) = e1) % 87.81/12.52 (141) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = % 87.81/12.52 e0 % 87.81/12.52 (142) all_4_5 = e3 | ~ (op(e4, e3) = e3) % 87.81/12.52 (143) ~ (all_4_13 = e1) % 87.81/12.52 (144) op(e1, e2) = all_4_13 % 87.81/12.52 (145) ~ (all_4_21 = e4) % 87.81/12.52 (146) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = % 87.81/12.52 e0 % 87.81/12.52 (147) ~ (all_4_10 = e1) % 87.81/12.52 (148) all_6_8 = all_4_16 % 87.81/12.52 (149) ~ (all_4_5 = all_4_8) % 87.81/12.52 (150) ~ (all_4_16 = e4) % 87.81/12.52 (151) ~ (all_4_5 = all_4_10) % 87.81/12.52 (152) ~ (all_4_2 = all_4_4) % 87.81/12.52 (153) ~ (all_4_14 = e1) % 87.81/12.52 (154) op(e0, unit) = e0 % 87.81/12.53 (155) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & op(e3, e2) = e4) | % 87.81/12.53 (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 & op(e1, e2) = e4) | % 87.81/12.53 (all_8_22 = e4 & op(e0, e2) = e4) % 87.81/12.53 (156) ~ (all_4_9 = all_4_14) % 87.81/12.53 (157) op(e2, e1) = all_4_17 % 87.81/12.53 (158) ~ (all_4_15 = all_4_19) % 87.81/12.53 (159) ~ (all_4_8 = all_4_9) % 87.81/12.53 (160) (all_8_9 = e4 & op(e4, e1) = e4) | (all_8_10 = e4 & op(e3, e1) = e4) | % 87.81/12.53 (all_8_11 = e4 & op(e2, e1) = e4) | (all_8_15 = e4 & op(e1, e1) = e4) | % 87.81/12.53 (all_8_23 = e4 & op(e0, e1) = e4) % 87.81/12.53 (161) ~ (all_4_5 = all_4_15) % 87.81/12.53 (162) ~ (all_4_13 = e0) % 87.81/12.53 (163) op(e4, e3) = all_4_5 % 87.81/12.53 (164) all_8_5 = e1 % 87.81/12.53 (165) all_6_19 = e1 | ~ (op(e1, e0) = e1) % 87.81/12.53 (166) op(unit, e1) = e1 % 87.81/12.53 (167) all_4_9 = e3 | ~ (op(e0, e3) = e3) % 87.81/12.53 (168) all_6_13 = all_4_17 % 87.81/12.53 (169) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 87.81/12.53 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 87.81/12.53 (170) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 87.81/12.53 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 87.81/12.53 (all_8_17 = e2 & op(e3, e0) = e2) % 87.81/12.53 (171) all_4_19 = e0 | ~ (op(e0, e1) = e0) % 87.81/12.53 (172) ~ (all_4_4 = all_4_24) % 87.89/12.54 (173) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 % 87.89/12.54 & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 87.89/12.54 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 87.89/12.54 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit % 87.89/12.54 = e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = % 87.89/12.54 e4) | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 87.89/12.54 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) % 87.89/12.54 = all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 87.89/12.54 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 87.89/12.54 = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.89/12.54 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) % 87.89/12.54 = all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 87.89/12.54 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) % 87.89/12.54 = all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.89/12.54 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 87.89/12.54 = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 87.89/12.54 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) % 87.89/12.54 = all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.89/12.54 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) % 87.89/12.54 = all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 87.89/12.54 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 87.89/12.54 = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.89/12.54 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) % 87.89/12.54 = all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 87.89/12.54 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) % 87.89/12.54 = all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | % 87.89/12.54 ( ~ (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.89/12.54 (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 % 87.89/12.54 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 87.89/12.54 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 87.89/12.54 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit % 87.89/12.54 = e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = % 87.89/12.54 e3) | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 87.89/12.54 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) % 87.89/12.54 = all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 87.89/12.54 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) % 87.89/12.54 = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.89/12.54 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 87.89/12.54 = all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 87.89/12.54 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) % 87.89/12.54 = all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.89/12.54 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) % 87.89/12.54 = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 87.89/12.54 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 87.89/12.54 = all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.89/12.54 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) % 87.89/12.54 = all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 87.89/12.54 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) % 87.89/12.54 = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.89/12.54 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 87.89/12.54 = all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 87.89/12.54 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) % 87.89/12.54 = all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | % 87.89/12.54 ( ~ (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.89/12.54 (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = all_9_52 % 87.89/12.54 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & $i(all_9_42) & % 87.89/12.54 $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & $i(all_9_62) & ( ~ % 87.89/12.54 (all_9_42 = e2) | ~ (unit = e2)) & ( ~ (all_9_47 = e2) | ~ (unit % 87.89/12.54 = e2)) & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ (all_9_57 = % 87.89/12.54 e2) | ~ (unit = e2)) & ( ~ (all_9_62 = e2) | ~ (unit = e2)) & % 87.89/12.54 ((all_9_42 = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) % 87.89/12.54 = all_9_40 & $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.89/12.54 ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 87.89/12.54 = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.89/12.54 ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & op(e3, e4) % 87.89/12.54 = all_9_45 & $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_46 = e2) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.89/12.54 ((all_9_47 = e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) % 87.89/12.54 = all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.89/12.54 ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 87.89/12.54 = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.89/12.54 ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) % 87.89/12.54 = all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_54 = e2) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.89/12.54 ((all_9_57 = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) % 87.89/12.54 = all_9_55 & $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.89/12.54 ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 87.89/12.54 = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.89/12.54 ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & op(e0, e4) % 87.89/12.54 = all_9_60 & $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_61 = e2) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.89/12.54 ((all_9_62 = e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) % 87.89/12.54 = all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | % 87.89/12.54 ( ~ (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.89/12.54 (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 % 87.89/12.54 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & $i(all_9_43) & % 87.89/12.54 $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & $i(all_9_63) & ( ~ % 87.89/12.54 (all_9_43 = e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) | ~ (unit % 87.89/12.54 = e1)) & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ (all_9_58 = % 87.89/12.54 e1) | ~ (unit = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = e1)) & % 87.89/12.54 ((all_9_43 = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) % 87.89/12.54 = all_9_40 & $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.89/12.54 ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 87.89/12.54 = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 87.89/12.54 ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 87.89/12.54 = all_9_45 & $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_46 = e1) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.89/12.54 ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) % 87.89/12.54 = all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 87.89/12.54 ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 87.89/12.54 = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.89/12.54 ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 87.89/12.54 = all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_54 = e1) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 87.89/12.54 ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) % 87.89/12.54 = all_9_55 & $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.89/12.54 ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 87.89/12.54 = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 87.89/12.54 ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 87.89/12.54 = all_9_60 & $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_61 = e1) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.89/12.54 ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) % 87.89/12.54 = all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | % 87.89/12.54 ( ~ (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 87.89/12.54 (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 % 87.89/12.54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & $i(all_9_44) & % 87.89/12.54 $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 87.89/12.54 (all_9_44 = e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) | ~ (unit % 87.89/12.54 = e0)) & ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ (all_9_59 = % 87.89/12.54 e0) | ~ (unit = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = e0)) & % 87.89/12.54 ((all_9_44 = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) % 87.89/12.54 = all_9_40 & $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 87.89/12.54 ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 87.89/12.54 = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 87.89/12.54 ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 87.89/12.54 = all_9_45 & $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_46 = e0) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 87.89/12.54 ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) % 87.89/12.54 = all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 87.89/12.54 ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 87.89/12.54 = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 87.89/12.54 ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 87.89/12.54 = all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_53 = e0) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 87.89/12.54 ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) % 87.89/12.54 = all_9_55 & $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 87.89/12.54 ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 87.89/12.54 = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 87.89/12.54 ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 87.89/12.54 = all_9_60 & $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_61 = e0) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 87.89/12.54 ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) % 87.89/12.54 = all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | % 87.89/12.54 ( ~ (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 87.89/12.54 (174) ~ (all_4_10 = all_4_20) % 87.89/12.54 (175) all_6_3 = all_4_15 % 87.89/12.54 (176) ~ (all_4_17 = e3) % 87.89/12.54 (177) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 87.89/12.54 all_6_17 = e0 % 87.89/12.54 (178) e3 = e1 | ~ (op(e3, e2) = e3) % 87.89/12.54 (179) ~ (all_4_16 = e1) % 87.89/12.54 (180) op(e3, unit) = e3 % 87.89/12.54 (181) ~ (all_4_8 = e0) % 87.89/12.54 (182) all_4_16 = e3 | ~ (op(e3, e1) = e3) % 87.89/12.54 (183) ~ (e3 = e2) % 87.89/12.54 (184) ~ (all_4_10 = e3) % 87.89/12.54 (185) ~ (e4 = e2) % 87.89/12.54 (186) (all_8_20 = e3 & op(e0, e4) = e3) | (all_8_21 = e3 & op(e0, e3) = e3) | % 87.89/12.54 (all_8_22 = e3 & op(e0, e2) = e3) | (all_8_23 = e3 & op(e0, e1) = e3) | % 87.89/12.54 (all_8_24 = e3 & op(e0, e0) = e3) % 87.89/12.54 (187) op(e0, e3) = all_4_9 % 87.89/12.54 (188) (all_8_0 = e2 & op(e4, e4) = e2) | (all_8_1 = e2 & op(e4, e3) = e2) | % 87.89/12.54 (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_9 = e2 & op(e4, e1) = e2) | % 87.89/12.54 (all_8_16 = e2 & op(e4, e0) = e2) % 87.89/12.54 (189) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_13 = e1 & op(e1, e3) = e1) | % 87.89/12.54 (all_8_14 = e1 & op(e1, e2) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 87.89/12.54 (all_8_19 = e1 & op(e1, e0) = e1) % 87.89/12.54 % 87.89/12.54 Begin of proof % 87.89/12.54 | % 87.89/12.54 | BETA: splitting (50) gives: % 87.89/12.54 | % 87.89/12.54 | Case 1: % 87.89/12.54 | | % 87.89/12.54 | | (190) ~ (op(e0, e4) = e4) % 87.89/12.54 | | % 87.89/12.54 | | PRED_UNIFY: (2), (190) imply: % 87.89/12.54 | | (191) ~ (unit = e0) % 87.89/12.54 | | % 87.89/12.54 | | REF_CLOSE: (1), (4), (6), (10), (13), (17), (22), (24), (27), (29), (32), % 87.89/12.54 | | (36), (38), (40), (42), (44), (52), (57), (59), (62), (65), (71), % 87.89/12.54 | | (74), (75), (76), (80), (81), (82), (83), (84), (85), (86), (90), % 87.89/12.54 | | (96), (107), (116), (118), (120), (121), (136), (143), (144), % 87.89/12.54 | | (147), (153), (154), (161), (162), (166), (168), (174), (175), % 87.89/12.54 | | (177), (184), (191) are inconsistent by sub-proof #81. % 87.89/12.54 | | % 87.89/12.54 | Case 2: % 87.89/12.54 | | % 87.89/12.54 | | (192) all_4_4 = e4 % 87.89/12.54 | | % 87.89/12.54 | | REDUCE: (134), (192) imply: % 87.89/12.54 | | (193) ~ (all_4_0 = e4) % 87.89/12.54 | | % 87.89/12.54 | | REDUCE: (124), (192) imply: % 87.89/12.54 | | (194) ~ (all_4_1 = e4) % 87.89/12.54 | | % 87.89/12.54 | | REDUCE: (152), (192) imply: % 87.89/12.54 | | (195) ~ (all_4_2 = e4) % 87.89/12.54 | | % 87.89/12.54 | | REDUCE: (138), (192) imply: % 87.89/12.54 | | (196) ~ (all_4_3 = e4) % 87.89/12.54 | | % 87.89/12.54 | | REDUCE: (47), (192) imply: % 87.89/12.54 | | (197) ~ (all_4_9 = e4) % 87.89/12.54 | | % 87.89/12.54 | | SIMP: (197) implies: % 87.89/12.54 | | (198) ~ (all_4_9 = e4) % 87.89/12.54 | | % 87.89/12.54 | | REDUCE: (44), (192) imply: % 87.89/12.54 | | (199) ~ (all_4_14 = e4) % 87.89/12.54 | | % 87.89/12.54 | | SIMP: (199) implies: % 87.89/12.54 | | (200) ~ (all_4_14 = e4) % 87.89/12.54 | | % 87.89/12.54 | | REDUCE: (172), (192) imply: % 87.89/12.54 | | (201) ~ (all_4_24 = e4) % 87.89/12.54 | | % 87.89/12.54 | | SIMP: (201) implies: % 87.89/12.54 | | (202) ~ (all_4_24 = e4) % 87.89/12.54 | | % 87.89/12.54 | | BETA: splitting (106) gives: % 87.89/12.54 | | % 87.89/12.54 | | Case 1: % 87.89/12.54 | | | % 87.89/12.54 | | | (203) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_2 = e4 & op(e3, e4) = % 87.89/12.54 | | | e4) % 87.89/12.54 | | | % 87.89/12.54 | | | BETA: splitting (203) gives: % 87.89/12.54 | | | % 87.89/12.54 | | | Case 1: % 87.89/12.54 | | | | % 87.89/12.54 | | | | (204) all_8_0 = e4 & op(e4, e4) = e4 % 87.89/12.54 | | | | % 87.89/12.54 | | | | ALPHA: (204) implies: % 87.89/12.54 | | | | (205) op(e4, e4) = e4 % 87.89/12.54 | | | | % 87.89/12.54 | | | | REF_CLOSE: (67), (99), (193), (205) are inconsistent by sub-proof #80. % 87.89/12.54 | | | | % 87.89/12.54 | | | Case 2: % 87.89/12.54 | | | | % 87.89/12.54 | | | | (206) all_8_2 = e4 & op(e3, e4) = e4 % 87.89/12.54 | | | | % 87.89/12.54 | | | | REF_CLOSE: (8), (194), (206) are inconsistent by sub-proof #121. % 87.89/12.54 | | | | % 87.89/12.54 | | | End of split % 87.89/12.54 | | | % 87.89/12.54 | | Case 2: % 87.89/12.54 | | | % 87.89/12.54 | | | (207) (all_8_6 = e4 & op(e2, e4) = e4) | (all_8_12 = e4 & op(e1, e4) = % 87.89/12.54 | | | e4) | (all_8_20 = e4 & op(e0, e4) = e4) % 87.89/12.54 | | | % 87.89/12.54 | | | BETA: splitting (207) gives: % 87.89/12.54 | | | % 87.89/12.54 | | | Case 1: % 87.89/12.54 | | | | % 87.89/12.54 | | | | (208) all_8_6 = e4 & op(e2, e4) = e4 % 87.89/12.54 | | | | % 87.89/12.54 | | | | ALPHA: (208) implies: % 87.89/12.54 | | | | (209) op(e2, e4) = e4 % 87.89/12.54 | | | | % 87.89/12.54 | | | | BETA: splitting (127) gives: % 87.89/12.54 | | | | % 87.89/12.54 | | | | Case 1: % 87.89/12.54 | | | | | % 87.89/12.54 | | | | | (210) ~ (op(e2, e4) = e4) % 87.89/12.54 | | | | | % 87.89/12.54 | | | | | PRED_UNIFY: (209), (210) imply: % 87.89/12.54 | | | | | (211) $false % 87.89/12.54 | | | | | % 87.89/12.54 | | | | | CLOSE: (211) is inconsistent. % 87.89/12.54 | | | | | % 87.89/12.54 | | | | Case 2: % 87.89/12.54 | | | | | % 87.89/12.54 | | | | | (212) all_6_10 = e4 % 87.89/12.54 | | | | | % 87.89/12.54 | | | | | COMBINE_EQS: (137), (212) imply: % 87.89/12.54 | | | | | (213) all_4_2 = e4 % 87.89/12.54 | | | | | % 87.89/12.54 | | | | | REDUCE: (195), (213) imply: % 87.89/12.54 | | | | | (214) $false % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | CLOSE: (214) is inconsistent. % 87.89/12.55 | | | | | % 87.89/12.55 | | | | End of split % 87.89/12.55 | | | | % 87.89/12.55 | | | Case 2: % 87.89/12.55 | | | | % 87.89/12.55 | | | | (215) (all_8_12 = e4 & op(e1, e4) = e4) | (all_8_20 = e4 & op(e0, e4) % 87.89/12.55 | | | | = e4) % 87.89/12.55 | | | | % 87.89/12.55 | | | | BETA: splitting (215) gives: % 87.89/12.55 | | | | % 87.89/12.55 | | | | Case 1: % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | (216) all_8_12 = e4 & op(e1, e4) = e4 % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | ALPHA: (216) implies: % 87.89/12.55 | | | | | (217) op(e1, e4) = e4 % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | REF_CLOSE: (133), (196), (217) are inconsistent by sub-proof #79. % 87.89/12.55 | | | | | % 87.89/12.55 | | | | Case 2: % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | (218) all_8_20 = e4 & op(e0, e4) = e4 % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | ALPHA: (218) implies: % 87.89/12.55 | | | | | (219) all_8_20 = e4 % 87.89/12.55 | | | | | (220) op(e0, e4) = e4 % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | BETA: splitting (115) gives: % 87.89/12.55 | | | | | % 87.89/12.55 | | | | | Case 1: % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | (221) ~ (op(e0, e0) = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | PRED_UNIFY: (52), (221) imply: % 87.89/12.55 | | | | | | (222) ~ (unit = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | REF_CLOSE: (1), (4), (6), (10), (13), (17), (22), (24), (27), (29), % 87.89/12.55 | | | | | | (32), (36), (38), (40), (42), (44), (52), (57), (59), % 87.89/12.55 | | | | | | (62), (65), (71), (74), (75), (76), (80), (81), (82), % 87.89/12.55 | | | | | | (83), (84), (85), (86), (90), (96), (107), (116), (118), % 87.89/12.55 | | | | | | (120), (121), (136), (143), (144), (147), (153), (154), % 87.89/12.55 | | | | | | (161), (162), (166), (168), (174), (175), (177), (184), % 87.89/12.55 | | | | | | (222) are inconsistent by sub-proof #81. % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | Case 2: % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | (223) all_6_24 = e0 % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | COMBINE_EQS: (48), (223) imply: % 87.89/12.55 | | | | | | (224) all_4_24 = e0 % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | SIMP: (224) implies: % 87.89/12.55 | | | | | | (225) all_4_24 = e0 % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | REDUCE: (3), (225) imply: % 87.89/12.55 | | | | | | (226) ~ (all_4_9 = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | REDUCE: (43), (225) imply: % 87.89/12.55 | | | | | | (227) ~ (all_4_14 = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | REDUCE: (39), (225) imply: % 87.89/12.55 | | | | | | (228) ~ (all_4_19 = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | REDUCE: (112), (225) imply: % 87.89/12.55 | | | | | | (229) ~ (all_4_21 = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | REDUCE: (202), (225) imply: % 87.89/12.55 | | | | | | (230) ~ (e4 = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | SIMP: (230) implies: % 87.89/12.55 | | | | | | (231) ~ (e4 = e0) % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | BETA: splitting (35) gives: % 87.89/12.55 | | | | | | % 87.89/12.55 | | | | | | Case 1: % 87.89/12.55 | | | | | | | % 87.89/12.55 | | | | | | | (232) all_8_24 = e0 & op(e0, e0) = e0 % 87.89/12.55 | | | | | | | % 87.89/12.55 | | | | | | | ALPHA: (232) implies: % 87.89/12.55 | | | | | | | (233) all_8_24 = e0 % 87.89/12.55 | | | | | | | % 87.89/12.55 | | | | | | | BETA: splitting (117) gives: % 87.89/12.55 | | | | | | | % 87.89/12.55 | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | % 87.89/12.55 | | | | | | | | (234) (all_8_4 = e0 & op(e4, e2) = e0) | (all_8_5 = e0 & % 87.89/12.55 | | | | | | | | op(e3, e2) = e0) % 87.89/12.55 | | | | | | | | % 87.89/12.55 | | | | | | | | BETA: splitting (234) gives: % 87.89/12.55 | | | | | | | | % 87.89/12.55 | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | % 87.89/12.55 | | | | | | | | | (235) all_8_4 = e0 & op(e4, e2) = e0 % 87.89/12.55 | | | | | | | | | % 87.89/12.55 | | | | | | | | | ALPHA: (235) implies: % 87.89/12.55 | | | | | | | | | (236) all_8_4 = e0 % 87.89/12.55 | | | | | | | | | % 87.89/12.55 | | | | | | | | | BETA: splitting (114) gives: % 87.89/12.55 | | | | | | | | | % 87.89/12.55 | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | (237) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & % 87.89/12.55 | | | | | | | | | | op(e3, e3) = e0) % 87.89/12.55 | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | BETA: splitting (237) gives: % 87.89/12.55 | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | (238) all_8_2 = e0 & op(e3, e4) = e0 % 87.89/12.55 | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | ALPHA: (238) implies: % 87.89/12.55 | | | | | | | | | | | (239) all_8_2 = e0 % 87.89/12.55 | | | | | | | | | | | (240) op(e3, e4) = e0 % 87.89/12.55 | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | BETA: splitting (74) gives: % 87.89/12.55 | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | (241) all_6_22 = e3 % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | COMBINE_EQS: (42), (241) imply: % 87.89/12.55 | | | | | | | | | | | | (242) all_4_14 = e3 % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | REDUCE: (24), (242) imply: % 87.89/12.55 | | | | | | | | | | | | (243) $false % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | CLOSE: (243) is inconsistent. % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | (244) ~ (all_6_22 = e3) % 87.89/12.55 | | | | | | | | | | | | (245) all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 | % 87.89/12.55 | | | | | | | | | | | | all_6_22 = e0 % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | BETA: splitting (245) gives: % 87.89/12.55 | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | (246) all_6_22 = e2 % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | COMBINE_EQS: (42), (246) imply: % 87.89/12.55 | | | | | | | | | | | | | (247) all_4_14 = e2 % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | REDUCE: (156), (247) imply: % 87.89/12.55 | | | | | | | | | | | | | (248) ~ (all_4_9 = e2) % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | REDUCE: (81), (247) imply: % 87.89/12.55 | | | | | | | | | | | | | (249) ~ (all_4_10 = e2) % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | REDUCE: (107), (247) imply: % 87.89/12.55 | | | | | | | | | | | | | (250) ~ (all_4_13 = e2) % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | REDUCE: (24), (247) imply: % 87.89/12.55 | | | | | | | | | | | | | (251) ~ (e3 = e2) % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | BETA: splitting (25) gives: % 87.89/12.55 | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | (252) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 87.89/12.55 | | | | | | | | | | | | | | op(e3, e2) = e2) % 87.89/12.55 | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | BETA: splitting (252) gives: % 87.89/12.55 | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | (253) all_8_4 = e2 & op(e4, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | ALPHA: (253) implies: % 87.89/12.55 | | | | | | | | | | | | | | | (254) all_8_4 = e2 % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | COMBINE_EQS: (236), (254) imply: % 87.89/12.55 | | | | | | | | | | | | | | | (255) e2 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | REDUCE: (55), (255) imply: % 87.89/12.55 | | | | | | | | | | | | | | | (256) $false % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | CLOSE: (256) is inconsistent. % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | (257) all_8_5 = e2 & op(e3, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | ALPHA: (257) implies: % 87.89/12.55 | | | | | | | | | | | | | | | (258) op(e3, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | REF_CLOSE: (65), (83), (258) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | #108. % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | End of split % 87.89/12.55 | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | (259) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 87.89/12.55 | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 87.89/12.55 | | | | | | | | | | | | | | = e2) % 87.89/12.55 | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | BETA: splitting (259) gives: % 87.89/12.55 | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | (260) all_8_8 = e2 & op(e2, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | REF_CLOSE: (109), (122), (183), (260) are inconsistent by % 87.89/12.55 | | | | | | | | | | | | | | | sub-proof #102. % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | (261) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 87.89/12.55 | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | BETA: splitting (261) gives: % 87.89/12.55 | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | (262) all_8_14 = e2 & op(e1, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | ALPHA: (262) implies: % 87.89/12.55 | | | | | | | | | | | | | | | | (263) op(e1, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | REF_CLOSE: (32), (250), (263) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | #78. % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | (264) all_8_22 = e2 & op(e0, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | ALPHA: (264) implies: % 87.89/12.55 | | | | | | | | | | | | | | | | (265) all_8_22 = e2 % 87.89/12.55 | | | | | | | | | | | | | | | | (266) op(e0, e2) = e2 % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | (267) all_6_17 = e3 % 87.89/12.55 | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (27), (267) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | | #100. % 87.89/12.55 | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | (268) ~ (all_6_17 = e3) % 87.89/12.55 | | | | | | | | | | | | | | | | | (269) all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | % 87.89/12.55 | | | | | | | | | | | | | | | | | all_6_17 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | BETA: splitting (269) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | (270) all_6_17 = e2 % 87.89/12.55 | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (250), (270) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | | | #99. % 87.89/12.55 | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | (271) ~ (all_6_17 = e2) % 87.89/12.55 | | | | | | | | | | | | | | | | | | (272) all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | (273) all_6_17 = e1 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (143), (273) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | | | | #98. % 87.89/12.55 | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | (274) ~ (all_6_17 = e1) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | (275) all_6_17 = e4 | all_6_17 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | (276) all_6_17 = e4 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (276) imply: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | (277) all_4_13 = e4 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | (278) all_4_13 = e4 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (278) imply: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | (279) ~ (all_4_8 = e4) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (278) imply: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | (280) ~ (all_4_10 = e4) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (278) imply: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | (281) op(e1, e2) = e4 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | (282) all_6_2 = e3 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (184), (282) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | #77. % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | (283) ~ (all_6_2 = e3) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | (284) all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | all_6_2 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | (285) all_6_2 = e2 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (249), (285) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | #86. % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | (286) ~ (all_6_2 = e2) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | (287) all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | (288) all_6_2 = e1 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (147), (288) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | #85. % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | (289) ~ (all_6_2 = e1) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | (290) all_6_2 = e4 | all_6_2 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (291) all_6_2 = e4 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (280), (291) are inconsistent by sub-proof % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | #84. % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (292) all_6_2 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (292) imply: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (293) all_4_10 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (293) implies: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (294) all_4_10 = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (294) imply: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (295) ~ (all_4_5 = e0) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (294) imply: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | (296) op(e4, e2) = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | (297) (all_8_1 = e0 & op(e4, e3) = e0) | (all_8_3 = e0 & % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0) % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (298) all_8_1 = e0 & op(e4, e3) = e0 % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (298) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (299) op(e4, e3) = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (169) with all_4_5, e0, e3, e4, % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (163), (299) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (300) all_4_5 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (295), (300) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (301) $false % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (301) is inconsistent. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_8_3 = e0 & op(e3, e3) = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (231), (302) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | #116. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | (303) (all_8_7 = e0 & op(e2, e3) = e0) | (all_8_13 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e0) | (all_8_21 = e0 & op(e0, e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_8_7 = e0 & op(e2, e3) = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (304) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_8_7 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (306) op(e2, e3) = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (169) with all_4_7, e0, e3, e2, % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (104), (306) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_4_7 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (169) with all_4_1, e0, e4, e3, % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (240) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_4_1 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (101), (307) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_6_11 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (308) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (310) ~ (all_4_16 = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (308) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (311) ~ (all_4_21 = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (307) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (312) ~ (all_4_8 = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (307) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (313) ~ (all_4_9 = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (307) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (314) ~ (all_4_17 = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (314) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (315) ~ (all_4_17 = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (307) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (316) ~ (e3 = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) ~ (op(e4, e4) = e4) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (2), (317) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) ~ (unit = e4) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) ~ (op(e3, e1) = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (180), (319) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) ~ (unit = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (70), (319) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) ~ (all_4_16 = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) all_8_2 = e3 & op(e3, e4) = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (239), (323) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_8_3 = e3 & op(e3, e3) = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (93), (324) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | (all_8_17 = e3 & op(e3, e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_8_5 = e3 & op(e3, e2) = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (178), (326) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) all_8_10 = e3 & op(e3, e1) = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (182), (321), (328) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_8_17 = e3 & op(e3, e0) = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) all_8_17 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) op(e3, e0) = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) ~ (op(e3, e0) = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (331), (332) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) $false % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (333) is inconsistent. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) all_4_21 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) all_6_8 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (335) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_4_16 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (321), (336) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) $false % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) ~ (all_6_8 = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_6_8 = e4 | all_6_8 = e2 | all_6_8 = e1 | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) all_6_8 = e2 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (340) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) all_4_16 = e2 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (341) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) ~ (all_4_17 = e2) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (342) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) ~ (all_4_17 = e2) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (341) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) ~ (all_4_19 = e2) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (344) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) ~ (all_4_19 = e2) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (341) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) op(e3, e1) = e2 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) ~ (op(e1, e2) = e2) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (46) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) ~ (op(e4, e2) = e2) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) ~ (op(e0, e1) = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (166), (349) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) ~ (unit = e0) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (10), (17), (62), (80), (120), (136), (143), % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318), (320), (350) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #89. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) all_6_23 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (351) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) all_4_19 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (352) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) all_4_19 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (353) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) ~ (all_4_9 = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (353) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) ~ (all_4_15 = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (353) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) ~ (all_4_17 = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (353) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) ~ (e2 = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (56) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (121), (148), (175), (179), (355), (358) are % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_15 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e1) | (all_8_23 = e1 & op(e0, e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) all_8_11 = e1 & op(e2, e1) = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (168), (356), (360) are inconsistent by % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) (all_8_15 = e1 & op(e1, e1) = e1) | (all_8_23 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) all_8_15 = e1 & op(e1, e1) = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (362) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) op(e1, e1) = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (113), (363) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #69. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) all_8_23 = e1 & op(e0, e1) = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) all_8_23 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) op(e0, e1) = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) all_6_13 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (367) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) all_4_17 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (368) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) all_4_17 = e3 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (369) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) $false % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) ~ (all_6_13 = e3) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) all_6_13 = e4 | all_6_13 = e2 | all_6_13 = e1 | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_6_13 = e2 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (373) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) all_4_17 = e2 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (374) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) all_4_17 = e2 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (375) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) $false % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (376) is inconsistent. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) ~ (all_6_13 = e2) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_6_13 = e4 | all_6_13 = e1 | all_6_13 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_6_13 = e1 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (356), (379) are inconsistent by sub-proof % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71. % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) ~ (all_6_13 = e1) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_6_13 = e4 | all_6_13 = e0 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) all_6_13 = e4 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (382) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) all_4_17 = e4 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (383) implies: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) all_4_17 = e4 % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (384) imply: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) ~ (all_4_15 = e4) % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) (all_8_9 = e4 & op(e4, e1) = e4) | (all_8_10 = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_8_9 = e4 & op(e4, e1) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (387) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) op(e4, e1) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (385), (388) are inconsistent by sub-proof % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) all_8_10 = e4 & op(e3, e1) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (389) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) op(e3, e1) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (169) with e2, e4, e1, e3, % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (346), (390) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) e4 = e2 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (391) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) $false % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) (all_8_11 = e4 & op(e2, e1) = e4) | (all_8_15 = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_8_23 = e4 & op(e0, e1) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_8_11 = e4 & op(e2, e1) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_8_11 = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) (all_8_20 = e3 & op(e0, e4) = e3) | (all_8_21 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_8_20 = e3 & op(e0, e4) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (219), (397) are inconsistent by sub-proof % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_8_21 = e3 & op(e0, e3) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) op(e0, e3) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) ~ (op(e0, e3) = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (399), (400) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) $false % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (401) is inconsistent. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_4_9 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (402) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) ~ (all_4_5 = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (402) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) ~ (all_4_8 = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (402) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) ~ (e4 = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) (all_8_0 = e4 & op(e4, e4) = e4) | (all_8_1 = e4 & % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e4) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_8_0 = e4 & op(e4, e4) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) op(e4, e4) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (317), (408) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) $false % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (409) is inconsistent. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_8_1 = e4 & op(e4, e3) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (410) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) op(e4, e3) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (17), (136), (411) are inconsistent by % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_9 = e4 & % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e4) | (all_8_16 = e4 & op(e4, e0) = % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (412) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_8_4 = e4 & op(e4, e2) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (231), (236), (413) are inconsistent by sub-proof % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #66. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) (all_8_9 = e4 & op(e4, e1) = e4) | (all_8_16 = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e4) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (414) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_8_9 = e4 & op(e4, e1) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (415) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) op(e4, e1) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (385), (416) are inconsistent by sub-proof % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_8_16 = e4 & op(e4, e0) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (417) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) all_8_16 = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) op(e4, e0) = e4 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) (all_8_9 = e3 & op(e4, e1) = e3) | (all_8_10 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_8_9 = e3 & op(e4, e1) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_8_9 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) op(e4, e1) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_13 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) all_8_12 = e3 & op(e1, e4) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (10), (14), (17), (30), (51), (53), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (62), (64), (66), (69), (76), (80), (83), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (84), (88), (89), (93), (94), (95), (100), (103), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (113), (120), (121), (123), (126), (128), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (135), (136), (139), (142), (143), (146), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (163), (165), (166), (168), (169), (170), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (173), (175), (178), (181), (189), (196), (220), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (239), (240), (266), (279), (281), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295), (296), (305), (306), (309), (320), (330), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331), (347), (355), (356), (366), (399), (403), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404), (418), (419), (423), (425) are inconsistent % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #38. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) all_8_13 = e3 & op(e1, e3) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (426) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) op(e1, e3) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) ~ (op(e1, e3) = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (427), (428) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) $false % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (429) is inconsistent. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_4_8 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (404), (430) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) $false % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (431) is inconsistent. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) (all_8_14 = e3 & op(e1, e2) = e3) | (all_8_15 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | (all_8_19 = e3 & op(e1, e0) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_8_14 = e3 & op(e1, e2) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) op(e1, e2) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (169), (281), (434) are inconsistent by % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) (all_8_15 = e3 & op(e1, e1) = e3) | (all_8_19 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_8_15 = e3 & op(e1, e1) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (91), (126), (436) are inconsistent by sub-proof % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_8_19 = e3 & op(e1, e0) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (437) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_8_19 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) (all_8_0 = e3 & op(e4, e4) = e3) | (all_8_2 = e3 & % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e3) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (439) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_8_0 = e3 & op(e4, e4) = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_8_0 = e3 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) (all_8_0 = e2 & op(e4, e4) = e2) | (all_8_1 = e2 & % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e2) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_8_0 = e2 & op(e4, e4) = e2 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (443) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_8_0 = e2 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (444) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) e3 = e2 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (445) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_4_21 = e2 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (183), (331), (446) are inconsistent by % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_8_1 = e2 & op(e4, e3) = e2 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (447) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_8_1 = e2 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) (all_8_0 = e1 & op(e4, e4) = e1) | (all_8_1 = e1 & % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e1) % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_8_0 = e1 & op(e4, e4) = e1 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (450) implies: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_8_0 = e1 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (451) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) e3 = e1 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (452) imply: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_8_17 = e1 % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (55), (61), (65), (66), (83), (93), (126), % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (178), (183), (185), (239), (453) are % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_8_1 = e1 & op(e4, e3) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (454) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_8_1 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (455) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) e2 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (456) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) $false % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (457) is inconsistent. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) (all_8_4 = e1 & op(e4, e2) = e1) | (all_8_9 = e1 & % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e1) | (all_8_16 = e1 & op(e4, e0) = % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_8_4 = e1 & op(e4, e2) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (459) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_8_4 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (460) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) e1 = e0 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) e1 = e0 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (462) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) $false % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (463) is inconsistent. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_16 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e1) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_8_9 = e1 & op(e4, e1) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) op(e4, e1) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (175), (355), (466) are inconsistent by % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #88. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_8_16 = e1 & op(e4, e0) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (418), (467) are inconsistent by sub-proof % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #35. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_9 = e2 & % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e2) | (all_8_16 = e2 & op(e4, e0) = % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_8_4 = e2 & op(e4, e2) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (469) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) op(e4, e2) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (348), (470) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) $false % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (471) is inconsistent. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) (all_8_9 = e2 & op(e4, e1) = e2) | (all_8_16 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e2) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_8_9 = e2 & op(e4, e1) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (473) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_8_9 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (474) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) e3 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (475) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_4_21 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (183), (331), (476) are inconsistent by % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_8_16 = e2 & op(e4, e0) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (185), (418), (477) are inconsistent by sub-proof % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #61. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_8_2 = e3 & op(e3, e4) = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (239), (478) are inconsistent by sub-proof % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) (all_8_6 = e3 & op(e2, e4) = e3) | (all_8_12 = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e3) | (all_8_20 = e3 & op(e0, e4) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (479) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_8_6 = e3 & op(e2, e4) = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_8_6 = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) (all_8_16 = e1 & op(e4, e0) = e1) | (all_8_17 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_8_16 = e1 & op(e4, e0) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (418), (483) are inconsistent by sub-proof % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #35. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_8_17 = e1 & op(e3, e0) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (484) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_8_17 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (55), (61), (65), (66), (83), (93), (126), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (178), (183), (185), (239), (485) are % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) (all_8_18 = e1 & op(e2, e0) = e1) | (all_8_19 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | (all_8_24 = e1 & op(e0, e0) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_8_18 = e1 & op(e2, e0) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_8_18 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) (all_8_6 = e2 & op(e2, e4) = e2) | (all_8_7 = e2 & % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_8_6 = e2 & op(e2, e4) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_8_6 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (491) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) e3 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (492) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_4_21 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (183), (331), (493) are inconsistent by % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_8_7 = e2 & op(e2, e3) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (494) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_8_7 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (495) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) e2 = e0 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (496) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) e2 = e0 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (497) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) $false % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (498) is inconsistent. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_11 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2) | (all_8_18 = e2 & op(e2, e0) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_8_8 = e2 & op(e2, e2) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (109), (122), (183), (500) are inconsistent by % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) (all_8_11 = e2 & op(e2, e1) = e2) | (all_8_18 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (501) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_8_11 = e2 & op(e2, e1) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (502) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_8_11 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (503) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) e4 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (504) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) $false % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (505) is inconsistent. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_8_18 = e2 & op(e2, e0) = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_8_18 = e2 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (488), (507) are inconsistent by sub-proof % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #39. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) (all_8_19 = e1 & op(e1, e0) = e1) | (all_8_24 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e1) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_8_19 = e1 & op(e1, e0) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_8_19 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (510) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) e3 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (511) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_8_17 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (55), (61), (65), (66), (83), (93), (126), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (178), (183), (185), (239), (512) are % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_8_24 = e1 & op(e0, e0) = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_8_24 = e1 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (514) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) e1 = e0 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (515) implies: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) e1 = e0 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (516) imply: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) $false % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (517) is inconsistent. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) (all_8_12 = e3 & op(e1, e4) = e3) | (all_8_20 = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e3) % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_8_12 = e3 & op(e1, e4) = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (10), (14), (17), (30), (51), (53), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (62), (64), (66), (69), (76), (80), (83), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (84), (88), (89), (93), (94), (95), (100), (103), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (113), (120), (121), (123), (126), (128), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (135), (136), (139), (142), (143), (146), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (163), (165), (166), (168), (169), (170), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (173), (175), (178), (181), (189), (196), (220), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (239), (240), (266), (279), (281), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295), (296), (305), (306), (309), (320), (330), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331), (347), (355), (356), (366), (399), (403), % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404), (418), (419), (423), (519) are inconsistent % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #38. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_8_20 = e3 & op(e0, e4) = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (219), (520) are inconsistent by sub-proof % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_8_10 = e3 & op(e3, e1) = e3 % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (182), (321), (521) are inconsistent by sub-proof % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75. % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) (all_8_11 = e3 & op(e2, e1) = e3) | (all_8_15 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | (all_8_23 = e3 & op(e0, e1) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_8_11 = e3 & op(e2, e1) = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (169), (176), (523) are inconsistent by % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) (all_8_15 = e3 & op(e1, e1) = e3) | (all_8_23 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_8_15 = e3 & op(e1, e1) = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (91), (126), (525) are inconsistent by sub-proof % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_8_23 = e3 & op(e0, e1) = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (37), (51), (56), (76), (113), (121), (148), % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (175), (179), (355), (356), (526) are % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) (all_8_22 = e3 & op(e0, e2) = e3) | (all_8_23 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e3) | (all_8_24 = e3 & op(e0, e0) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_8_22 = e3 & op(e0, e2) = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_8_22 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (529) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) e3 = e2 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (530) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) e3 = e2 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (531) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_4_21 = e2 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (183), (331), (532) are inconsistent by % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) (all_8_23 = e3 & op(e0, e1) = e3) | (all_8_24 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (533) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_8_23 = e3 & op(e0, e1) = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (37), (51), (56), (76), (113), (121), (148), % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (175), (179), (355), (356), (534) are % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_8_24 = e3 & op(e0, e0) = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (535) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_8_24 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (536) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) e3 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (537) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (538) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) (all_8_15 = e4 & op(e1, e1) = e4) | (all_8_23 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e4) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_8_15 = e4 & op(e1, e1) = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (169), (231), (540) are inconsistent by % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) all_8_23 = e4 & op(e0, e1) = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) all_8_23 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (542) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) e4 = e1 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (543) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) e4 = e1 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (544) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (545) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_6_13 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (546) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_4_17 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (547) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_4_17 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (548) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (549) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_6_2 = e2 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (550) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) e2 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (551) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) op(e1, e2) = e2 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (250), (553) are inconsistent by sub-proof % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #78. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_6_8 = e4 | all_6_8 = e1 | all_6_8 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_6_8 = e1 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (148), (179), (555) are inconsistent by sub-proof % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #74. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_6_8 = e4 | all_6_8 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (556) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) all_6_8 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (557) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) all_4_16 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (558) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) all_4_16 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (559) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (560) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) all_6_8 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (561) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_4_16 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (562) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) all_4_16 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (563) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (564) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) all_4_16 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (565) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) ~ (all_4_21 = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (566) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) ~ (all_4_21 = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) all_6_9 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (568) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_4_21 = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (569) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (570) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) ~ (all_6_9 = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_6_9 = e4 | all_6_9 = e2 | all_6_9 = e1 | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (572) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_6_9 = e2 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (573) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_4_21 = e2 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) ~ (op(e3, e0) = e3) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (180), (575) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) ~ (unit = e0) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (10), (13), (17), (29), (52), (62), % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (75), (80), (86), (90), (96), (116), (120), (136), % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (147), (161), (174), (175), (184), (249), % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318), (576) are inconsistent by sub-proof #82. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_4_10 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (577) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) e4 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (578) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) e4 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (579) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (580) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) op(e3, e0) = e3 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (183), (574), (581) are inconsistent by % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_6_9 = e4 | all_6_9 = e1 | all_6_9 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) all_6_9 = e1 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (583) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) all_4_21 = e1 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (584) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (585) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) all_6_9 = e4 | all_6_9 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (586) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) all_6_9 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (587) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_4_21 = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (588) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (589) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_6_9 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (590) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) all_4_21 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (229), (591) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (592) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) op(e4, e4) = e4 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (99), (193), (593) are inconsistent by % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (594) (all_8_13 = e0 & op(e1, e3) = e0) | (all_8_21 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0) % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (594) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) all_8_13 = e0 & op(e1, e3) = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) op(e1, e3) = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (169) with all_4_8, e0, e3, e1, % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (596) gives: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) all_4_8 = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (597) imply: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) $false % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (598) is inconsistent. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_8_21 = e0 & op(e0, e3) = e0 % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (78), (226), (599) are inconsistent by % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31. % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | % 87.89/12.59 | | | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.59 | | | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | | | (600) all_6_17 = e0 % 87.89/12.60 | | | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (162), (600) are inconsistent by sub-proof % 87.89/12.60 | | | | | | | | | | | | | | | | | | | | #97. % 87.89/12.60 | | | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | (601) all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0 % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | REF_CLOSE: (42), (153), (200), (227), (601) are inconsistent % 87.89/12.60 | | | | | | | | | | | | | by sub-proof #30. % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | (602) all_8_3 = e0 & op(e3, e3) = e0 % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | REF_CLOSE: (61), (231), (602) are inconsistent by sub-proof % 87.89/12.60 | | | | | | | | | | | #116. % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | (603) (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & % 87.89/12.60 | | | | | | | | | | op(e3, e1) = e0) | (all_8_17 = e0 & op(e3, e0) = % 87.89/12.60 | | | | | | | | | | e0) % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | BETA: splitting (603) gives: % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | (604) all_8_5 = e0 & op(e3, e2) = e0 % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | REF_CLOSE: (88), (113), (169), (604) are inconsistent by % 87.89/12.60 | | | | | | | | | | | sub-proof #115. % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | (605) (all_8_10 = e0 & op(e3, e1) = e0) | (all_8_17 = e0 % 87.89/12.60 | | | | | | | | | | | & op(e3, e0) = e0) % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | BETA: splitting (605) gives: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | (606) all_8_10 = e0 & op(e3, e1) = e0 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | REF_CLOSE: (70), (87), (169), (606) are inconsistent by % 87.89/12.60 | | | | | | | | | | | | sub-proof #119. % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | (607) all_8_17 = e0 & op(e3, e0) = e0 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | ALPHA: (607) implies: % 87.89/12.60 | | | | | | | | | | | | (608) op(e3, e0) = e0 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | BETA: splitting (119) gives: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | (609) ~ (op(e3, e0) = e0) % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | PRED_UNIFY: (608), (609) imply: % 87.89/12.60 | | | | | | | | | | | | | (610) $false % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | CLOSE: (610) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | (611) all_4_21 = e0 % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | REDUCE: (229), (611) imply: % 87.89/12.60 | | | | | | | | | | | | | (612) $false % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | CLOSE: (612) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | (613) all_8_5 = e0 & op(e3, e2) = e0 % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | REF_CLOSE: (88), (113), (169), (613) are inconsistent by % 87.89/12.60 | | | | | | | | | sub-proof #115. % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | End of split % 87.89/12.60 | | | | | | | | % 87.89/12.60 | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | % 87.89/12.60 | | | | | | | | (614) (all_8_8 = e0 & op(e2, e2) = e0) | (all_8_14 = e0 & % 87.89/12.60 | | | | | | | | op(e1, e2) = e0) | (all_8_22 = e0 & op(e0, e2) = e0) % 87.89/12.60 | | | | | | | | % 87.89/12.60 | | | | | | | | BETA: splitting (614) gives: % 87.89/12.60 | | | | | | | | % 87.89/12.60 | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | (615) all_8_8 = e0 & op(e2, e2) = e0 % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | ALPHA: (615) implies: % 87.89/12.60 | | | | | | | | | (616) all_8_8 = e0 % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | COMBINE_EQS: (100), (616) imply: % 87.89/12.60 | | | | | | | | | (617) e3 = e0 % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | SIMP: (617) implies: % 87.89/12.60 | | | | | | | | | (618) e3 = e0 % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | REDUCE: (126), (618) imply: % 87.89/12.60 | | | | | | | | | (619) $false % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | CLOSE: (619) is inconsistent. % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | (620) (all_8_14 = e0 & op(e1, e2) = e0) | (all_8_22 = e0 & % 87.89/12.60 | | | | | | | | | op(e0, e2) = e0) % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | BETA: splitting (620) gives: % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | (621) all_8_14 = e0 & op(e1, e2) = e0 % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | ALPHA: (621) implies: % 87.89/12.60 | | | | | | | | | | (622) all_8_14 = e0 % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | BETA: splitting (155) gives: % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | (623) (all_8_4 = e4 & op(e4, e2) = e4) | (all_8_5 = e4 & % 87.89/12.60 | | | | | | | | | | | op(e3, e2) = e4) % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | BETA: splitting (623) gives: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | (624) all_8_4 = e4 & op(e4, e2) = e4 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | REF_CLOSE: (22), (25), (27), (29), (33), (42), (55), (59), % 87.89/12.60 | | | | | | | | | | | | (65), (83), (105), (107), (109), (122), (143), % 87.89/12.60 | | | | | | | | | | | | (162), (177), (183), (185), (622), (624) are % 87.89/12.60 | | | | | | | | | | | | inconsistent by sub-proof #96. % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | (625) all_8_5 = e4 & op(e3, e2) = e4 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | REF_CLOSE: (49), (164), (625) are inconsistent by sub-proof % 87.89/12.60 | | | | | | | | | | | | #95. % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | (626) (all_8_8 = e4 & op(e2, e2) = e4) | (all_8_14 = e4 % 87.89/12.60 | | | | | | | | | | | & op(e1, e2) = e4) | (all_8_22 = e4 & op(e0, e2) % 87.89/12.60 | | | | | | | | | | | = e4) % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | BETA: splitting (626) gives: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | (627) all_8_8 = e4 & op(e2, e2) = e4 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | ALPHA: (627) implies: % 87.89/12.60 | | | | | | | | | | | | (628) all_8_8 = e4 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | COMBINE_EQS: (100), (628) imply: % 87.89/12.60 | | | | | | | | | | | | (629) e4 = e3 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | SIMP: (629) implies: % 87.89/12.60 | | | | | | | | | | | | (630) e4 = e3 % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | REDUCE: (93), (630) imply: % 87.89/12.60 | | | | | | | | | | | | (631) $false % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | CLOSE: (631) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | (632) (all_8_14 = e4 & op(e1, e2) = e4) | (all_8_22 = e4 % 87.89/12.60 | | | | | | | | | | | | & op(e0, e2) = e4) % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | BETA: splitting (632) gives: % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | (633) all_8_14 = e4 & op(e1, e2) = e4 % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | REF_CLOSE: (231), (622), (633) are inconsistent by sub-proof % 87.89/12.60 | | | | | | | | | | | | | #29. % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | (634) all_8_22 = e4 & op(e0, e2) = e4 % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | ALPHA: (634) implies: % 87.89/12.60 | | | | | | | | | | | | | (635) all_8_22 = e4 % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | BETA: splitting (25) gives: % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | (636) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & % 87.89/12.60 | | | | | | | | | | | | | | op(e3, e2) = e2) % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | BETA: splitting (636) gives: % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | (637) all_8_4 = e2 & op(e4, e2) = e2 % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | ALPHA: (637) implies: % 87.89/12.60 | | | | | | | | | | | | | | | (638) op(e4, e2) = e2 % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | BETA: splitting (46) gives: % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | (639) ~ (op(e4, e2) = e2) % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | PRED_UNIFY: (638), (639) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | (640) $false % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | CLOSE: (640) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | (641) all_6_2 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (641) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | (642) all_4_10 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | SIMP: (642) implies: % 87.89/12.60 | | | | | | | | | | | | | | | | (643) all_4_10 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | REDUCE: (81), (643) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | (644) ~ (all_4_14 = e2) % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | SIMP: (644) implies: % 87.89/12.60 | | | | | | | | | | | | | | | | (645) ~ (all_4_14 = e2) % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | (646) all_6_22 = e3 % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (646) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | | (647) all_4_14 = e3 % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | REDUCE: (24), (647) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | | (648) $false % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | CLOSE: (648) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | (649) all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 | % 87.89/12.60 | | | | | | | | | | | | | | | | | all_6_22 = e0 % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | BETA: splitting (649) gives: % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | (650) all_6_22 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (650) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | | | (651) all_4_14 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | REDUCE: (645), (651) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | | | (652) $false % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | CLOSE: (652) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | (653) all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0 % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (153), (200), (227), (653) are inconsistent % 87.89/12.60 | | | | | | | | | | | | | | | | | | by sub-proof #30. % 87.89/12.60 | | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | (654) all_8_5 = e2 & op(e3, e2) = e2 % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | ALPHA: (654) implies: % 87.89/12.60 | | | | | | | | | | | | | | | (655) op(e3, e2) = e2 % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | REF_CLOSE: (65), (83), (655) are inconsistent by sub-proof % 87.89/12.60 | | | | | | | | | | | | | | | #108. % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | (656) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 % 87.89/12.60 | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) % 87.89/12.60 | | | | | | | | | | | | | | = e2) % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | BETA: splitting (656) gives: % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | (657) all_8_8 = e2 & op(e2, e2) = e2 % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | REF_CLOSE: (109), (122), (183), (657) are inconsistent by % 87.89/12.60 | | | | | | | | | | | | | | | sub-proof #102. % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | (658) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | & op(e0, e2) = e2) % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | BETA: splitting (658) gives: % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | (659) all_8_14 = e2 & op(e1, e2) = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | ALPHA: (659) implies: % 87.89/12.60 | | | | | | | | | | | | | | | | (660) all_8_14 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (660) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | (661) e2 = e0 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | SIMP: (661) implies: % 87.89/12.60 | | | | | | | | | | | | | | | | (662) e2 = e0 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | REDUCE: (55), (662) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | (663) $false % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | CLOSE: (663) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | (664) all_8_22 = e2 & op(e0, e2) = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | ALPHA: (664) implies: % 87.89/12.60 | | | | | | | | | | | | | | | | (665) all_8_22 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (665) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | (666) e4 = e2 % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | REDUCE: (185), (666) imply: % 87.89/12.60 | | | | | | | | | | | | | | | | (667) $false % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | | CLOSE: (667) is inconsistent. % 87.89/12.60 | | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | (668) all_8_22 = e0 & op(e0, e2) = e0 % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | ALPHA: (668) implies: % 87.89/12.60 | | | | | | | | | | (669) op(e0, e2) = e0 % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | BETA: splitting (82) gives: % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | Case 1: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | (670) ~ (op(e0, e2) = e0) % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | PRED_UNIFY: (669), (670) imply: % 87.89/12.60 | | | | | | | | | | | (671) $false % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | CLOSE: (671) is inconsistent. % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | Case 2: % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | (672) all_6_22 = e0 % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | COMBINE_EQS: (42), (672) imply: % 87.89/12.60 | | | | | | | | | | | (673) all_4_14 = e0 % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | REDUCE: (227), (673) imply: % 87.89/12.60 | | | | | | | | | | | (674) $false % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | | CLOSE: (674) is inconsistent. % 87.89/12.60 | | | | | | | | | | | % 87.89/12.60 | | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | | % 87.89/12.60 | | | | | | | | | End of split % 87.89/12.60 | | | | | | | | | % 87.89/12.60 | | | | | | | | End of split % 87.89/12.60 | | | | | | | | % 87.89/12.60 | | | | | | | End of split % 87.89/12.60 | | | | | | | % 87.89/12.60 | | | | | | Case 2: % 87.89/12.60 | | | | | | | % 87.89/12.61 | | | | | | | (675) ((all_8_16 = e0 & op(e4, e0) = e0) | (all_8_17 = e0 & % 87.89/12.61 | | | | | | | op(e3, e0) = e0) | (all_8_18 = e0 & op(e2, e0) = e0) % 87.89/12.61 | | | | | | | | (all_8_19 = e0 & op(e1, e0) = e0)) & ((all_8_20 = e0 % 87.89/12.61 | | | | | | | & op(e0, e4) = e0) | (all_8_21 = e0 & op(e0, e3) = % 87.89/12.61 | | | | | | | e0) | (all_8_22 = e0 & op(e0, e2) = e0) | (all_8_23 = % 87.89/12.61 | | | | | | | e0 & op(e0, e1) = e0)) % 87.89/12.61 | | | | | | | % 87.89/12.61 | | | | | | | ALPHA: (675) implies: % 87.89/12.61 | | | | | | | (676) (all_8_20 = e0 & op(e0, e4) = e0) | (all_8_21 = e0 & % 87.89/12.61 | | | | | | | op(e0, e3) = e0) | (all_8_22 = e0 & op(e0, e2) = e0) | % 87.89/12.61 | | | | | | | (all_8_23 = e0 & op(e0, e1) = e0) % 87.89/12.61 | | | | | | | % 87.89/12.61 | | | | | | | BETA: splitting (74) gives: % 87.89/12.61 | | | | | | | % 87.89/12.61 | | | | | | | Case 1: % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | | (677) all_6_22 = e3 % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | | COMBINE_EQS: (42), (677) imply: % 87.89/12.61 | | | | | | | | (678) all_4_14 = e3 % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | | REDUCE: (24), (678) imply: % 87.89/12.61 | | | | | | | | (679) $false % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | | CLOSE: (679) is inconsistent. % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | Case 2: % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | | (680) all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 | % 87.89/12.61 | | | | | | | | all_6_22 = e0 % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | | BETA: splitting (680) gives: % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | | Case 1: % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | | (681) all_6_22 = e2 % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | | COMBINE_EQS: (42), (681) imply: % 87.89/12.61 | | | | | | | | | (682) all_4_14 = e2 % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | | BETA: splitting (676) gives: % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | | Case 1: % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | (683) (all_8_20 = e0 & op(e0, e4) = e0) | (all_8_21 = e0 % 87.89/12.61 | | | | | | | | | | & op(e0, e3) = e0) % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | BETA: splitting (683) gives: % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | Case 1: % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | (684) all_8_20 = e0 & op(e0, e4) = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | ALPHA: (684) implies: % 87.89/12.61 | | | | | | | | | | | (685) all_8_20 = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | COMBINE_EQS: (219), (685) imply: % 87.89/12.61 | | | | | | | | | | | (686) e4 = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | SIMP: (686) implies: % 87.89/12.61 | | | | | | | | | | | (687) e4 = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | REDUCE: (231), (687) imply: % 87.89/12.61 | | | | | | | | | | | (688) $false % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | CLOSE: (688) is inconsistent. % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | Case 2: % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | (689) all_8_21 = e0 & op(e0, e3) = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | REF_CLOSE: (63), (78), (226), (689) are inconsistent by % 87.89/12.61 | | | | | | | | | | | sub-proof #31. % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | End of split % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | Case 2: % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | (690) (all_8_22 = e0 & op(e0, e2) = e0) | (all_8_23 = e0 % 87.89/12.61 | | | | | | | | | | & op(e0, e1) = e0) % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | BETA: splitting (690) gives: % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | Case 1: % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | (691) all_8_22 = e0 & op(e0, e2) = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | ALPHA: (691) implies: % 87.89/12.61 | | | | | | | | | | | (692) op(e0, e2) = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | BETA: splitting (82) gives: % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | Case 1: % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | (693) ~ (op(e0, e2) = e0) % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | PRED_UNIFY: (692), (693) imply: % 87.89/12.61 | | | | | | | | | | | | (694) $false % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | CLOSE: (694) is inconsistent. % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | Case 2: % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | (695) all_6_22 = e0 % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | COMBINE_EQS: (681), (695) imply: % 87.89/12.61 | | | | | | | | | | | | (696) e2 = e0 % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | SIMP: (696) implies: % 87.89/12.61 | | | | | | | | | | | | (697) e2 = e0 % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | REDUCE: (55), (697) imply: % 87.89/12.61 | | | | | | | | | | | | (698) $false % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | | CLOSE: (698) is inconsistent. % 87.89/12.61 | | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | End of split % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | Case 2: % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | (699) all_8_23 = e0 & op(e0, e1) = e0 % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | | REF_CLOSE: (171), (228), (699) are inconsistent by sub-proof % 87.89/12.61 | | | | | | | | | | | #28. % 87.89/12.61 | | | | | | | | | | | % 87.89/12.61 | | | | | | | | | | End of split % 87.89/12.61 | | | | | | | | | | % 87.89/12.61 | | | | | | | | | End of split % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | Case 2: % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | | (700) all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0 % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | | REF_CLOSE: (42), (153), (200), (227), (700) are inconsistent % 87.89/12.61 | | | | | | | | | by sub-proof #30. % 87.89/12.61 | | | | | | | | | % 87.89/12.61 | | | | | | | | End of split % 87.89/12.61 | | | | | | | | % 87.89/12.61 | | | | | | | End of split % 87.89/12.61 | | | | | | | % 87.89/12.61 | | | | | | End of split % 87.89/12.61 | | | | | | % 87.89/12.61 | | | | | End of split % 87.89/12.61 | | | | | % 87.89/12.61 | | | | End of split % 87.89/12.61 | | | | % 87.89/12.61 | | | End of split % 87.89/12.61 | | | % 87.89/12.61 | | End of split % 87.89/12.61 | | % 87.89/12.61 | End of split % 87.89/12.61 | % 87.89/12.61 End of proof % 87.89/12.61 % 87.89/12.61 Sub-proof #28 shows that the following formulas are inconsistent: % 87.89/12.61 ---------------------------------------------------------------- % 87.89/12.61 (1) all_8_23 = e0 & op(e0, e1) = e0 % 87.89/12.61 (2) all_4_19 = e0 | ~ (op(e0, e1) = e0) % 87.89/12.61 (3) ~ (all_4_19 = e0) % 87.89/12.61 % 87.89/12.61 Begin of proof % 87.89/12.61 | % 87.89/12.61 | ALPHA: (1) implies: % 87.89/12.61 | (4) op(e0, e1) = e0 % 87.89/12.61 | % 87.89/12.61 | BETA: splitting (2) gives: % 87.89/12.61 | % 87.89/12.61 | Case 1: % 87.89/12.61 | | % 87.89/12.61 | | (5) ~ (op(e0, e1) = e0) % 87.89/12.61 | | % 87.89/12.61 | | PRED_UNIFY: (4), (5) imply: % 87.89/12.61 | | (6) $false % 87.89/12.61 | | % 87.89/12.61 | | CLOSE: (6) is inconsistent. % 87.89/12.61 | | % 87.89/12.61 | Case 2: % 87.89/12.61 | | % 87.89/12.61 | | (7) all_4_19 = e0 % 87.89/12.61 | | % 87.89/12.61 | | REDUCE: (3), (7) imply: % 87.89/12.61 | | (8) $false % 87.89/12.61 | | % 87.89/12.61 | | CLOSE: (8) is inconsistent. % 87.89/12.61 | | % 87.89/12.61 | End of split % 87.89/12.61 | % 87.89/12.61 End of proof % 87.89/12.61 % 87.89/12.61 Sub-proof #29 shows that the following formulas are inconsistent: % 87.89/12.61 ---------------------------------------------------------------- % 87.89/12.61 (1) all_8_14 = e4 & op(e1, e2) = e4 % 87.89/12.61 (2) all_8_14 = e0 % 87.89/12.61 (3) ~ (e4 = e0) % 87.89/12.61 % 87.89/12.61 Begin of proof % 87.89/12.61 | % 87.89/12.61 | ALPHA: (1) implies: % 87.89/12.61 | (4) all_8_14 = e4 % 87.89/12.61 | % 87.89/12.61 | COMBINE_EQS: (2), (4) imply: % 87.89/12.61 | (5) e4 = e0 % 87.89/12.61 | % 87.89/12.61 | SIMP: (5) implies: % 87.89/12.61 | (6) e4 = e0 % 87.89/12.61 | % 87.89/12.61 | REDUCE: (3), (6) imply: % 87.89/12.61 | (7) $false % 87.89/12.61 | % 87.89/12.61 | CLOSE: (7) is inconsistent. % 87.89/12.61 | % 87.89/12.61 End of proof % 87.89/12.61 % 87.89/12.61 Sub-proof #30 shows that the following formulas are inconsistent: % 87.89/12.61 ---------------------------------------------------------------- % 87.89/12.61 (1) all_6_22 = all_4_14 % 87.89/12.61 (2) ~ (all_4_14 = e4) % 87.89/12.61 (3) all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0 % 87.89/12.61 (4) ~ (all_4_14 = e1) % 87.89/12.61 (5) ~ (all_4_14 = e0) % 87.89/12.61 % 87.89/12.61 Begin of proof % 87.89/12.61 | % 87.89/12.61 | BETA: splitting (3) gives: % 87.89/12.61 | % 87.89/12.61 | Case 1: % 87.89/12.61 | | % 87.89/12.61 | | (6) all_6_22 = e1 % 87.89/12.61 | | % 87.89/12.61 | | COMBINE_EQS: (1), (6) imply: % 87.89/12.61 | | (7) all_4_14 = e1 % 87.89/12.61 | | % 87.89/12.61 | | REDUCE: (4), (7) imply: % 87.89/12.61 | | (8) $false % 87.89/12.61 | | % 87.89/12.61 | | CLOSE: (8) is inconsistent. % 87.89/12.61 | | % 87.89/12.61 | Case 2: % 87.89/12.61 | | % 87.89/12.61 | | (9) all_6_22 = e4 | all_6_22 = e0 % 87.89/12.61 | | % 87.89/12.61 | | BETA: splitting (9) gives: % 87.89/12.61 | | % 87.89/12.61 | | Case 1: % 87.89/12.61 | | | % 87.89/12.61 | | | (10) all_6_22 = e4 % 87.89/12.61 | | | % 87.89/12.61 | | | COMBINE_EQS: (1), (10) imply: % 87.89/12.61 | | | (11) all_4_14 = e4 % 87.89/12.61 | | | % 87.89/12.61 | | | REDUCE: (2), (11) imply: % 87.89/12.61 | | | (12) $false % 87.89/12.61 | | | % 87.89/12.61 | | | CLOSE: (12) is inconsistent. % 87.89/12.61 | | | % 87.89/12.61 | | Case 2: % 87.89/12.61 | | | % 87.89/12.61 | | | (13) all_6_22 = e0 % 87.89/12.61 | | | % 87.89/12.61 | | | COMBINE_EQS: (1), (13) imply: % 87.89/12.61 | | | (14) all_4_14 = e0 % 87.89/12.61 | | | % 88.24/12.61 | | | REDUCE: (5), (14) imply: % 88.24/12.61 | | | (15) $false % 88.24/12.61 | | | % 88.24/12.61 | | | CLOSE: (15) is inconsistent. % 88.24/12.61 | | | % 88.24/12.61 | | End of split % 88.24/12.61 | | % 88.24/12.61 | End of split % 88.24/12.61 | % 88.24/12.61 End of proof % 88.24/12.61 % 88.24/12.61 Sub-proof #31 shows that the following formulas are inconsistent: % 88.24/12.61 ---------------------------------------------------------------- % 88.24/12.61 (1) all_8_21 = e0 & op(e0, e3) = e0 % 88.24/12.61 (2) all_6_21 = e0 | ~ (op(e0, e3) = e0) % 88.24/12.61 (3) all_6_21 = all_4_9 % 88.24/12.61 (4) ~ (all_4_9 = e0) % 88.24/12.61 % 88.24/12.61 Begin of proof % 88.24/12.61 | % 88.24/12.61 | ALPHA: (1) implies: % 88.24/12.61 | (5) op(e0, e3) = e0 % 88.24/12.61 | % 88.24/12.61 | BETA: splitting (2) gives: % 88.24/12.61 | % 88.24/12.61 | Case 1: % 88.24/12.61 | | % 88.24/12.61 | | (6) ~ (op(e0, e3) = e0) % 88.24/12.61 | | % 88.24/12.61 | | PRED_UNIFY: (5), (6) imply: % 88.24/12.61 | | (7) $false % 88.24/12.61 | | % 88.24/12.61 | | CLOSE: (7) is inconsistent. % 88.24/12.61 | | % 88.24/12.61 | Case 2: % 88.24/12.61 | | % 88.24/12.61 | | (8) all_6_21 = e0 % 88.24/12.61 | | % 88.24/12.61 | | COMBINE_EQS: (3), (8) imply: % 88.24/12.61 | | (9) all_4_9 = e0 % 88.24/12.61 | | % 88.24/12.61 | | SIMP: (9) implies: % 88.24/12.61 | | (10) all_4_9 = e0 % 88.24/12.61 | | % 88.24/12.61 | | REDUCE: (4), (10) imply: % 88.24/12.61 | | (11) $false % 88.24/12.61 | | % 88.24/12.61 | | CLOSE: (11) is inconsistent. % 88.24/12.61 | | % 88.24/12.61 | End of split % 88.24/12.61 | % 88.24/12.61 End of proof % 88.24/12.61 % 88.24/12.61 Sub-proof #32 shows that the following formulas are inconsistent: % 88.24/12.61 ---------------------------------------------------------------- % 88.24/12.61 (1) all_8_15 = e4 & op(e1, e1) = e4 % 88.24/12.61 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 88.24/12.61 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 88.24/12.61 (3) op(e1, e1) = e0 % 88.24/12.61 (4) ~ (e4 = e0) % 88.24/12.61 % 88.24/12.61 Begin of proof % 88.24/12.61 | % 88.24/12.61 | ALPHA: (1) implies: % 88.24/12.61 | (5) op(e1, e1) = e4 % 88.24/12.61 | % 88.24/12.61 | GROUND_INST: instantiating (2) with e0, e4, e1, e1, simplifying with (3), (5) % 88.24/12.61 | gives: % 88.24/12.61 | (6) e4 = e0 % 88.24/12.61 | % 88.24/12.61 | REDUCE: (4), (6) imply: % 88.24/12.61 | (7) $false % 88.24/12.61 | % 88.24/12.61 | CLOSE: (7) is inconsistent. % 88.24/12.61 | % 88.24/12.61 End of proof % 88.24/12.61 % 88.24/12.61 Sub-proof #33 shows that the following formulas are inconsistent: % 88.24/12.61 ---------------------------------------------------------------- % 88.24/12.61 (1) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 88.24/12.61 (2) ~ (e3 = e1) % 88.24/12.61 (3) e1 = e0 | ~ (op(e1, e1) = e1) % 88.24/12.61 (4) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) | % 88.24/12.61 (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 88.24/12.61 (all_8_23 = e1 & op(e0, e1) = e1) % 88.24/12.61 (5) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 88.24/12.61 (6) ~ (e1 = e0) % 88.24/12.61 (7) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 88.24/12.61 (8) ~ (all_4_15 = e1) % 88.24/12.61 (9) all_6_8 = all_4_16 % 88.24/12.61 (10) all_6_13 = all_4_17 % 88.24/12.61 (11) all_8_23 = e3 & op(e0, e1) = e3 % 88.24/12.61 (12) ~ (all_4_17 = e1) % 88.24/12.61 (13) all_6_3 = all_4_15 % 88.24/12.61 (14) ~ (all_4_16 = e1) % 88.24/12.61 % 88.24/12.61 Begin of proof % 88.24/12.61 | % 88.24/12.61 | ALPHA: (11) implies: % 88.24/12.61 | (15) all_8_23 = e3 % 88.24/12.61 | % 88.24/12.61 | BETA: splitting (4) gives: % 88.24/12.61 | % 88.24/12.61 | Case 1: % 88.24/12.61 | | % 88.24/12.61 | | (16) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) % 88.24/12.61 | | % 88.24/12.61 | | REF_CLOSE: (1), (7), (8), (9), (13), (14), (16) are inconsistent by % 88.24/12.61 | | sub-proof #72. % 88.24/12.61 | | % 88.24/12.61 | Case 2: % 88.24/12.61 | | % 88.24/12.62 | | (17) (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_15 = e1 & op(e1, e1) = % 88.24/12.62 | | e1) | (all_8_23 = e1 & op(e0, e1) = e1) % 88.24/12.62 | | % 88.24/12.62 | | BETA: splitting (17) gives: % 88.24/12.62 | | % 88.24/12.62 | | Case 1: % 88.24/12.62 | | | % 88.24/12.62 | | | (18) all_8_11 = e1 & op(e2, e1) = e1 % 88.24/12.62 | | | % 88.24/12.62 | | | REF_CLOSE: (5), (10), (12), (18) are inconsistent by sub-proof #70. % 88.24/12.62 | | | % 88.24/12.62 | | Case 2: % 88.24/12.62 | | | % 88.24/12.62 | | | (19) (all_8_15 = e1 & op(e1, e1) = e1) | (all_8_23 = e1 & op(e0, e1) = % 88.24/12.62 | | | e1) % 88.24/12.62 | | | % 88.24/12.62 | | | BETA: splitting (19) gives: % 88.24/12.62 | | | % 88.24/12.62 | | | Case 1: % 88.24/12.62 | | | | % 88.24/12.62 | | | | (20) all_8_15 = e1 & op(e1, e1) = e1 % 88.24/12.62 | | | | % 88.24/12.62 | | | | ALPHA: (20) implies: % 88.24/12.62 | | | | (21) op(e1, e1) = e1 % 88.24/12.62 | | | | % 88.24/12.62 | | | | REF_CLOSE: (3), (6), (21) are inconsistent by sub-proof #69. % 88.24/12.62 | | | | % 88.24/12.62 | | | Case 2: % 88.24/12.62 | | | | % 88.24/12.62 | | | | (22) all_8_23 = e1 & op(e0, e1) = e1 % 88.24/12.62 | | | | % 88.24/12.62 | | | | ALPHA: (22) implies: % 88.24/12.62 | | | | (23) all_8_23 = e1 % 88.24/12.62 | | | | % 88.24/12.62 | | | | COMBINE_EQS: (15), (23) imply: % 88.24/12.62 | | | | (24) e3 = e1 % 88.24/12.62 | | | | % 88.24/12.62 | | | | SIMP: (24) implies: % 88.24/12.62 | | | | (25) e3 = e1 % 88.24/12.62 | | | | % 88.24/12.62 | | | | REDUCE: (2), (25) imply: % 88.24/12.62 | | | | (26) $false % 88.24/12.62 | | | | % 88.24/12.62 | | | | CLOSE: (26) is inconsistent. % 88.24/12.62 | | | | % 88.24/12.62 | | | End of split % 88.24/12.62 | | | % 88.24/12.62 | | End of split % 88.24/12.62 | | % 88.24/12.62 | End of split % 88.24/12.62 | % 88.24/12.62 End of proof % 88.24/12.62 % 88.24/12.62 Sub-proof #34 shows that the following formulas are inconsistent: % 88.24/12.62 ---------------------------------------------------------------- % 88.24/12.62 (1) all_8_11 = e3 & op(e2, e1) = e3 % 88.24/12.62 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 88.24/12.62 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 88.24/12.62 (3) op(e2, e1) = all_4_17 % 88.24/12.62 (4) ~ (all_4_17 = e3) % 88.24/12.62 % 88.24/12.62 Begin of proof % 88.24/12.62 | % 88.24/12.62 | ALPHA: (1) implies: % 88.24/12.62 | (5) op(e2, e1) = e3 % 88.24/12.62 | % 88.24/12.62 | GROUND_INST: instantiating (2) with all_4_17, e3, e1, e2, simplifying with % 88.24/12.62 | (3), (5) gives: % 88.24/12.62 | (6) all_4_17 = e3 % 88.24/12.62 | % 88.24/12.62 | REDUCE: (4), (6) imply: % 88.24/12.62 | (7) $false % 88.24/12.62 | % 88.24/12.62 | CLOSE: (7) is inconsistent. % 88.24/12.62 | % 88.24/12.62 End of proof % 88.24/12.62 % 88.24/12.62 Sub-proof #35 shows that the following formulas are inconsistent: % 88.24/12.62 ---------------------------------------------------------------- % 88.24/12.62 (1) all_8_16 = e1 & op(e4, e0) = e1 % 88.24/12.62 (2) all_8_16 = e4 % 88.24/12.62 (3) ~ (e4 = e1) % 88.24/12.62 % 88.24/12.62 Begin of proof % 88.24/12.62 | % 88.24/12.62 | ALPHA: (1) implies: % 88.24/12.62 | (4) all_8_16 = e1 % 88.24/12.62 | % 88.24/12.62 | COMBINE_EQS: (2), (4) imply: % 88.24/12.62 | (5) e4 = e1 % 88.24/12.62 | % 88.24/12.62 | REDUCE: (3), (5) imply: % 88.24/12.62 | (6) $false % 88.24/12.62 | % 88.24/12.62 | CLOSE: (6) is inconsistent. % 88.24/12.62 | % 88.24/12.62 End of proof % 88.24/12.62 % 88.24/12.62 Sub-proof #36 shows that the following formulas are inconsistent: % 88.24/12.62 ---------------------------------------------------------------- % 88.24/12.62 (1) all_4_21 = e3 | ~ (op(e3, e0) = e3) % 88.24/12.62 (2) op(e3, e0) = e3 % 88.24/12.62 (3) all_4_21 = e2 % 88.24/12.62 (4) ~ (e3 = e2) % 88.24/12.62 % 88.24/12.62 Begin of proof % 88.24/12.62 | % 88.24/12.62 | BETA: splitting (1) gives: % 88.24/12.62 | % 88.24/12.62 | Case 1: % 88.24/12.62 | | % 88.24/12.62 | | (5) ~ (op(e3, e0) = e3) % 88.24/12.62 | | % 88.24/12.62 | | PRED_UNIFY: (2), (5) imply: % 88.24/12.62 | | (6) $false % 88.24/12.62 | | % 88.24/12.62 | | CLOSE: (6) is inconsistent. % 88.24/12.62 | | % 88.24/12.62 | Case 2: % 88.24/12.62 | | % 88.24/12.62 | | (7) all_4_21 = e3 % 88.24/12.62 | | % 88.24/12.62 | | COMBINE_EQS: (3), (7) imply: % 88.24/12.62 | | (8) e3 = e2 % 88.24/12.62 | | % 88.24/12.62 | | SIMP: (8) implies: % 88.24/12.62 | | (9) e3 = e2 % 88.24/12.62 | | % 88.24/12.62 | | REDUCE: (4), (9) imply: % 88.24/12.62 | | (10) $false % 88.24/12.62 | | % 88.24/12.62 | | CLOSE: (10) is inconsistent. % 88.24/12.62 | | % 88.24/12.62 | End of split % 88.24/12.62 | % 88.24/12.62 End of proof % 88.24/12.62 % 88.24/12.62 Sub-proof #37 shows that the following formulas are inconsistent: % 88.24/12.62 ---------------------------------------------------------------- % 88.24/12.62 (1) all_8_15 = e3 & op(e1, e1) = e3 % 88.24/12.62 (2) all_8_15 = e0 % 88.24/12.62 (3) ~ (e3 = e0) % 88.24/12.62 % 88.24/12.62 Begin of proof % 88.24/12.62 | % 88.24/12.62 | ALPHA: (1) implies: % 88.24/12.62 | (4) all_8_15 = e3 % 88.24/12.62 | % 88.24/12.62 | COMBINE_EQS: (2), (4) imply: % 88.24/12.62 | (5) e3 = e0 % 88.24/12.62 | % 88.24/12.62 | SIMP: (5) implies: % 88.24/12.62 | (6) e3 = e0 % 88.24/12.62 | % 88.24/12.62 | REDUCE: (3), (6) imply: % 88.24/12.62 | (7) $false % 88.24/12.62 | % 88.24/12.62 | CLOSE: (7) is inconsistent. % 88.24/12.62 | % 88.24/12.62 End of proof % 88.24/12.62 % 88.24/12.62 Sub-proof #38 shows that the following formulas are inconsistent: % 88.24/12.62 ---------------------------------------------------------------- % 88.24/12.62 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 88.24/12.62 (2) op(e4, e2) = e0 % 88.24/12.62 (3) op(e0, e3) = e3 % 88.24/12.62 (4) op(e0, e2) = e2 % 88.24/12.62 (5) all_6_19 = all_4_23 % 88.24/12.62 (6) op(e1, e2) = e4 % 88.24/12.62 (7) op(e4, unit) = e4 % 88.24/12.62 (8) ~ (all_4_5 = e0) % 88.24/12.62 (9) (all_8_16 = e2 & op(e4, e0) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) | % 88.24/12.62 (all_8_18 = e2 & op(e2, e0) = e2) | (all_8_19 = e2 & op(e1, e0) = e2) | % 88.24/12.62 (all_8_24 = e2 & op(e0, e0) = e2) % 88.24/12.62 (10) all_6_1 = all_4_5 % 88.24/12.62 (11) ~ (e4 = e0) % 88.24/12.62 (12) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = all_9_45) & % 88.24/12.62 op(all_9_41, e4) = all_9_0 & op(all_9_41, e3) = e4 & op(e4, e3) = % 88.24/12.62 all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_0) & $i(all_9_41) & % 88.24/12.62 $i(all_9_45)) | (all_9_3 = e4 & ~ (all_9_2 = e2) & ~ (all_9_42 = % 88.24/12.62 all_9_50) & op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = e4 & % 88.24/12.62 op(e4, e2) = all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_2) & % 88.24/12.62 $i(all_9_42) & $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = e1) & ~ % 88.24/12.62 (all_9_43 = all_9_55) & op(all_9_43, e4) = all_9_4 & op(all_9_43, e1) % 88.24/12.62 = e4 & op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & $i(all_9_4) & % 88.24/12.62 $i(all_9_43) & $i(all_9_55)) | (all_9_7 = e4 & ~ (all_9_6 = e0) & ~ % 88.24/12.62 (all_9_44 = all_9_60) & op(all_9_44, e4) = all_9_6 & op(all_9_44, e0) % 88.24/12.62 = e4 & op(e4, e0) = all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_6) & % 88.24/12.62 $i(all_9_44) & $i(all_9_60)) | (all_9_9 = e3 & ~ (all_9_8 = e4) & ~ % 88.24/12.62 (all_9_41 = all_9_45) & op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 88.24/12.62 all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = all_9_45 & $i(all_9_8) % 88.24/12.62 & $i(all_9_41) & $i(all_9_45)) | (all_9_11 = e3 & ~ (all_9_10 = e2) & % 88.24/12.62 ~ (all_9_47 = all_9_51) & op(all_9_47, e3) = all_9_10 & op(all_9_47, % 88.24/12.62 e2) = e3 & op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & % 88.24/12.62 $i(all_9_10) & $i(all_9_47) & $i(all_9_51)) | (all_9_13 = e3 & ~ % 88.24/12.62 (all_9_12 = e1) & ~ (all_9_48 = all_9_56) & op(all_9_48, e3) = % 88.24/12.62 all_9_12 & op(all_9_48, e1) = e3 & op(e3, e1) = all_9_48 & op(e1, e3) % 88.24/12.62 = all_9_56 & $i(all_9_12) & $i(all_9_48) & $i(all_9_56)) | (all_9_15 = % 88.24/12.62 e3 & ~ (all_9_14 = e0) & ~ (all_9_49 = all_9_61) & op(all_9_49, e3) % 88.24/12.62 = all_9_14 & op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & op(e0, % 88.24/12.62 e3) = all_9_61 & $i(all_9_14) & $i(all_9_49) & $i(all_9_61)) | % 88.24/12.62 (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 = all_9_50) & % 88.24/12.62 op(all_9_50, e4) = e2 & op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 88.24/12.62 all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) & $i(all_9_42) & % 88.24/12.62 $i(all_9_50)) | (all_9_19 = e2 & ~ (all_9_18 = e3) & ~ (all_9_47 = % 88.24/12.62 all_9_51) & op(all_9_51, e3) = e2 & op(all_9_51, e2) = all_9_18 & % 88.24/12.62 op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_18) & % 88.24/12.62 $i(all_9_47) & $i(all_9_51)) | (all_9_21 = e2 & ~ (all_9_20 = e1) & % 88.24/12.62 ~ (all_9_53 = all_9_57) & op(all_9_53, e2) = all_9_20 & op(all_9_53, % 88.24/12.62 e1) = e2 & op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & % 88.24/12.62 $i(all_9_20) & $i(all_9_53) & $i(all_9_57)) | (all_9_23 = e2 & ~ % 88.24/12.62 (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & op(all_9_54, e2) = % 88.24/12.62 all_9_22 & op(all_9_54, e0) = e2 & op(e2, e0) = all_9_54 & op(e0, e2) % 88.24/12.62 = all_9_62 & $i(all_9_22) & $i(all_9_54) & $i(all_9_62)) | (all_9_25 = % 88.24/12.62 e1 & ~ (all_9_24 = e4) & ~ (all_9_43 = all_9_55) & op(all_9_55, e4) % 88.24/12.62 = e1 & op(all_9_55, e1) = all_9_24 & op(e4, e1) = all_9_43 & op(e1, % 88.24/12.62 e4) = all_9_55 & $i(all_9_24) & $i(all_9_43) & $i(all_9_55)) | % 88.24/12.62 (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 = all_9_56) & % 88.24/12.62 op(all_9_56, e3) = e1 & op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 88.24/12.62 all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) & $i(all_9_48) & % 88.24/12.62 $i(all_9_56)) | (all_9_29 = e1 & ~ (all_9_28 = e2) & ~ (all_9_53 = % 88.24/12.62 all_9_57) & op(all_9_57, e2) = e1 & op(all_9_57, e1) = all_9_28 & % 88.24/12.62 op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & $i(all_9_28) & % 88.24/12.62 $i(all_9_53) & $i(all_9_57)) | (all_9_31 = e1 & ~ (all_9_30 = e0) & % 88.24/12.62 ~ (all_9_59 = all_9_63) & op(all_9_59, e1) = all_9_30 & op(all_9_59, % 88.24/12.62 e0) = e1 & op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & % 88.24/12.62 $i(all_9_30) & $i(all_9_59) & $i(all_9_63)) | (all_9_33 = e0 & ~ % 88.24/12.62 (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & op(all_9_60, e4) = e0 & % 88.24/12.62 op(all_9_60, e0) = all_9_32 & op(e4, e0) = all_9_44 & op(e0, e4) = % 88.24/12.62 all_9_60 & $i(all_9_32) & $i(all_9_44) & $i(all_9_60)) | (all_9_35 = % 88.24/12.62 e0 & ~ (all_9_34 = e3) & ~ (all_9_49 = all_9_61) & op(all_9_61, e3) % 88.24/12.62 = e0 & op(all_9_61, e0) = all_9_34 & op(e3, e0) = all_9_49 & op(e0, % 88.24/12.62 e3) = all_9_61 & $i(all_9_34) & $i(all_9_49) & $i(all_9_61)) | % 88.24/12.62 (all_9_37 = e0 & ~ (all_9_36 = e2) & ~ (all_9_54 = all_9_62) & % 88.24/12.62 op(all_9_62, e2) = e0 & op(all_9_62, e0) = all_9_36 & op(e2, e0) = % 88.24/12.62 all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_36) & $i(all_9_54) & % 88.24/12.62 $i(all_9_62)) | (all_9_39 = e0 & ~ (all_9_38 = e1) & ~ (all_9_59 = % 88.24/12.62 all_9_63) & op(all_9_63, e1) = e0 & op(all_9_63, e0) = all_9_38 & % 88.24/12.62 op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & $i(all_9_38) & % 88.24/12.62 $i(all_9_59) & $i(all_9_63)) % 88.24/12.62 (13) ~ (unit = e1) % 88.24/12.62 (14) op(e4, e1) = e3 % 88.24/12.62 (15) e1 = e0 | ~ (op(e1, e1) = e1) % 88.24/12.62 (16) op(e1, e1) = e0 % 88.24/12.62 (17) all_8_17 = e3 % 88.24/12.62 (18) all_8_3 = e4 % 88.24/12.62 (19) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 88.24/12.62 (20) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 % 88.24/12.62 = e0 % 88.24/12.62 (21) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 88.24/12.62 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 88.24/12.62 (all_8_17 = e3 & op(e3, e0) = e3) % 88.24/12.63 (22) all_4_8 = e3 | ~ (op(e1, e3) = e3) % 88.24/12.63 (23) op(e3, e0) = e3 % 88.24/12.63 (24) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 88.24/12.63 (25) op(e1, unit) = e1 % 88.24/12.63 (26) e2 = e1 | ~ (op(e3, e2) = e2) % 88.24/12.63 (27) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 88.24/12.63 (28) op(e3, e2) = e1 % 88.24/12.63 (29) all_6_18 = e1 | ~ (op(e1, e1) = e1) % 88.24/12.63 (30) op(e0, e4) = e4 % 88.24/12.63 (31) ~ (e4 = e3) % 88.24/12.63 (32) all_6_16 = e3 | ~ (op(e1, e3) = e3) % 88.24/12.63 (33) op(e1, e3) = all_4_8 % 88.24/12.63 (34) all_8_24 = e0 % 88.24/12.63 (35) all_8_8 = e3 % 88.24/12.63 (36) op(e2, e2) = e3 % 88.24/12.63 (37) op(e2, e3) = e0 % 88.24/12.63 (38) all_4_8 = e1 | ~ (op(e1, e3) = e1) % 88.24/12.63 (39) all_8_12 = e3 & op(e1, e4) = e3 % 88.24/12.63 (40) ~ (e1 = e0) % 88.24/12.63 (41) ~ (all_4_8 = e4) % 88.24/12.63 (42) ~ (all_4_5 = e3) % 88.24/12.63 (43) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 88.24/12.63 (44) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 88.24/12.63 (45) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_7 = e1 & op(e2, e3) = e1) | % 88.24/12.63 (all_8_8 = e1 & op(e2, e2) = e1) | (all_8_11 = e1 & op(e2, e1) = e1) | % 88.24/12.63 (all_8_18 = e1 & op(e2, e0) = e1) % 88.24/12.63 (46) ~ (all_4_15 = e1) % 88.24/12.63 (47) ~ (all_4_8 = e3) % 88.24/12.63 (48) ~ (e3 = e0) % 88.24/12.63 (49) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 88.24/12.63 (50) op(e4, e0) = e4 % 88.24/12.63 (51) all_8_16 = e4 % 88.24/12.63 (52) all_4_3 = e4 | ~ (op(e1, e4) = e4) % 88.24/12.63 (53) all_6_16 = all_4_8 % 88.24/12.63 (54) all_6_11 = e0 % 88.24/12.63 (55) ~ (all_4_5 = e4) % 88.24/12.63 (56) ~ (all_4_8 = all_4_23) % 88.24/12.63 (57) all_4_5 = e3 | ~ (op(e4, e3) = e3) % 88.24/12.63 (58) ~ (all_4_13 = e1) % 88.24/12.63 (59) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0 % 88.24/12.63 (60) ~ (op(e1, e2) = e2) % 88.24/12.63 (61) ~ (all_4_5 = all_4_8) % 88.24/12.63 (62) all_8_7 = e0 % 88.24/12.63 (63) op(e3, e4) = e0 % 88.24/12.63 (64) op(e0, e1) = e1 % 88.24/12.63 (65) op(e4, e3) = all_4_5 % 88.24/12.63 (66) all_6_19 = e1 | ~ (op(e1, e0) = e1) % 88.24/12.63 (67) ~ (all_4_3 = e4) % 88.24/12.63 (68) op(unit, e1) = e1 % 88.24/12.63 (69) all_6_13 = all_4_17 % 88.24/12.63 (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 88.24/12.63 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 88.24/12.63 (71) all_8_2 = e0 % 88.24/12.63 (72) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 88.24/12.63 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 88.24/12.63 (all_8_17 = e2 & op(e3, e0) = e2) % 88.24/12.63 (73) ~ (all_4_17 = e1) % 88.24/12.64 (74) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 & % 88.24/12.64 op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 88.24/12.64 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 88.24/12.64 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit = % 88.24/12.64 e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = e4) % 88.24/12.64 | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 88.24/12.64 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = % 88.24/12.64 all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.24/12.64 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) = % 88.24/12.64 all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.24/12.64 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) = % 88.24/12.64 all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.24/12.64 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = % 88.24/12.64 all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 88.24/12.64 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) = % 88.24/12.64 all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.24/12.64 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) = % 88.24/12.64 all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.24/12.64 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = % 88.24/12.64 all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.24/12.64 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) = % 88.24/12.64 all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.24/12.64 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) = % 88.24/12.64 all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.24/12.64 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = % 88.24/12.64 all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( % 88.24/12.64 ~ (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 88.24/12.64 (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 88.24/12.64 op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 88.24/12.64 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 88.24/12.64 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit = % 88.24/12.64 e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = e3) % 88.24/12.64 | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 88.24/12.64 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = % 88.24/12.64 all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.24/12.64 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) = % 88.24/12.64 all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.24/12.64 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) = % 88.24/12.64 all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.24/12.64 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = % 88.24/12.64 all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 88.24/12.64 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) = % 88.24/12.64 all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.24/12.64 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) = % 88.24/12.64 all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.24/12.64 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = % 88.24/12.64 all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.24/12.64 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) = % 88.24/12.64 all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.24/12.64 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) = % 88.24/12.64 all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.24/12.64 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = % 88.24/12.64 all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( % 88.24/12.64 ~ (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 88.24/12.64 (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = all_9_52 & % 88.24/12.64 op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.24/12.64 $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & $i(all_9_62) & ( ~ % 88.24/12.64 (all_9_42 = e2) | ~ (unit = e2)) & ( ~ (all_9_47 = e2) | ~ (unit = % 88.24/12.64 e2)) & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ (all_9_57 = e2) % 88.24/12.64 | ~ (unit = e2)) & ( ~ (all_9_62 = e2) | ~ (unit = e2)) & % 88.24/12.64 ((all_9_42 = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = % 88.24/12.64 all_9_40 & $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.24/12.64 ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 88.24/12.64 all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.24/12.64 ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & op(e3, e4) = % 88.24/12.64 all_9_45 & $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_46 = e2) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.24/12.64 ((all_9_47 = e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 88.24/12.64 all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 88.24/12.64 ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) = % 88.24/12.64 all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.24/12.64 ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 88.24/12.64 all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_54 = e2) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.24/12.64 ((all_9_57 = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = % 88.24/12.64 all_9_55 & $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.24/12.64 ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 88.24/12.64 all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.24/12.64 ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & op(e0, e4) = % 88.24/12.64 all_9_60 & $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_61 = e2) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.24/12.64 ((all_9_62 = e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 88.24/12.64 all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( % 88.24/12.64 ~ (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 88.24/12.64 (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 88.24/12.64 op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.24/12.64 $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & $i(all_9_63) & ( ~ % 88.24/12.64 (all_9_43 = e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) | ~ (unit = % 88.24/12.64 e1)) & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ (all_9_58 = e1) % 88.24/12.64 | ~ (unit = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = e1)) & % 88.24/12.64 ((all_9_43 = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = % 88.24/12.64 all_9_40 & $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.24/12.64 ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 88.24/12.64 all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.24/12.64 ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) = % 88.24/12.64 all_9_45 & $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_46 = e1) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.24/12.64 ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 88.24/12.64 all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 88.24/12.64 ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) = % 88.24/12.64 all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.24/12.64 ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 88.24/12.64 all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_54 = e1) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.24/12.64 ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = % 88.24/12.64 all_9_55 & $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.24/12.64 ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 88.24/12.64 all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.24/12.64 ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) = % 88.24/12.64 all_9_60 & $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_61 = e1) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.24/12.64 ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 88.24/12.64 all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( % 88.24/12.64 ~ (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 88.24/12.64 (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 88.24/12.64 op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & $i(all_9_44) & % 88.24/12.64 $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 88.24/12.64 (all_9_44 = e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) | ~ (unit = % 88.24/12.64 e0)) & ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ (all_9_59 = e0) % 88.24/12.64 | ~ (unit = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = e0)) & % 88.24/12.64 ((all_9_44 = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = % 88.24/12.64 all_9_40 & $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.24/12.64 ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 88.24/12.64 all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.24/12.64 ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) = % 88.24/12.64 all_9_45 & $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_46 = e0) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.24/12.64 ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 88.24/12.64 all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.24/12.64 ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) = % 88.24/12.64 all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.24/12.64 ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 88.24/12.64 all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_53 = e0) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 88.24/12.64 ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = % 88.24/12.64 all_9_55 & $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.24/12.64 ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 88.24/12.64 all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.24/12.64 ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) = % 88.24/12.64 all_9_60 & $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_61 = e0) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.24/12.64 ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 88.24/12.64 all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( % 88.24/12.64 ~ (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 88.24/12.64 (75) all_6_3 = all_4_15 % 88.24/12.64 (76) e3 = e1 | ~ (op(e3, e2) = e3) % 88.24/12.64 (77) ~ (all_4_8 = e0) % 88.24/12.64 (78) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_13 = e1 & op(e1, e3) = e1) | % 88.24/12.64 (all_8_14 = e1 & op(e1, e2) = e1) | (all_8_15 = e1 & op(e1, e1) = e1) | % 88.24/12.64 (all_8_19 = e1 & op(e1, e0) = e1) % 88.24/12.64 % 88.24/12.64 Begin of proof % 88.24/12.64 | % 88.24/12.64 | ALPHA: (39) implies: % 88.24/12.64 | (79) all_8_12 = e3 % 88.24/12.64 | (80) op(e1, e4) = e3 % 88.24/12.64 | % 88.24/12.64 | BETA: splitting (29) gives: % 88.24/12.64 | % 88.24/12.64 | Case 1: % 88.24/12.64 | | % 88.24/12.64 | | (81) ~ (op(e1, e1) = e1) % 88.24/12.64 | | % 88.24/12.64 | | BETA: splitting (66) gives: % 88.24/12.64 | | % 88.24/12.64 | | Case 1: % 88.24/12.64 | | | % 88.24/12.64 | | | (82) ~ (op(e1, e0) = e1) % 88.24/12.64 | | | % 88.24/12.64 | | | PRED_UNIFY: (25), (82) imply: % 88.24/12.64 | | | (83) ~ (unit = e0) % 88.24/12.64 | | | % 88.24/12.64 | | | REF_CLOSE: (1), (7), (10), (13), (19), (25), (27), (43), (44), (46), (55), % 88.24/12.64 | | | (58), (68), (75), (83) are inconsistent by sub-proof #87. % 88.24/12.64 | | | % 88.24/12.64 | | Case 2: % 88.24/12.64 | | | % 88.24/12.64 | | | (84) all_6_19 = e1 % 88.24/12.64 | | | % 88.24/12.64 | | | COMBINE_EQS: (5), (84) imply: % 88.24/12.64 | | | (85) all_4_23 = e1 % 88.24/12.64 | | | % 88.24/12.64 | | | SIMP: (85) implies: % 88.24/12.64 | | | (86) all_4_23 = e1 % 88.24/12.64 | | | % 88.24/12.64 | | | REDUCE: (56), (86) imply: % 88.24/12.64 | | | (87) ~ (all_4_8 = e1) % 88.24/12.64 | | | % 88.24/12.64 | | | BETA: splitting (20) gives: % 88.24/12.64 | | | % 88.24/12.64 | | | Case 1: % 88.24/12.64 | | | | % 88.24/12.64 | | | | (88) all_6_16 = e3 % 88.24/12.64 | | | | % 88.24/12.64 | | | | COMBINE_EQS: (53), (88) imply: % 88.24/12.64 | | | | (89) all_4_8 = e3 % 88.24/12.64 | | | | % 88.24/12.64 | | | | SIMP: (89) implies: % 88.24/12.64 | | | | (90) all_4_8 = e3 % 88.24/12.64 | | | | % 88.24/12.64 | | | | REDUCE: (47), (90) imply: % 88.24/12.64 | | | | (91) $false % 88.24/12.64 | | | | % 88.24/12.64 | | | | CLOSE: (91) is inconsistent. % 88.24/12.64 | | | | % 88.24/12.64 | | | Case 2: % 88.24/12.64 | | | | % 88.24/12.64 | | | | (92) ~ (all_6_16 = e3) % 88.24/12.64 | | | | (93) all_6_16 = e4 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0 % 88.24/12.64 | | | | % 88.24/12.64 | | | | BETA: splitting (93) gives: % 88.24/12.64 | | | | % 88.24/12.64 | | | | Case 1: % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | (94) all_6_16 = e2 % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | COMBINE_EQS: (53), (94) imply: % 88.24/12.64 | | | | | (95) all_4_8 = e2 % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | SIMP: (95) implies: % 88.24/12.64 | | | | | (96) all_4_8 = e2 % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | REDUCE: (61), (96) imply: % 88.24/12.64 | | | | | (97) ~ (all_4_5 = e2) % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | REDUCE: (41), (96) imply: % 88.24/12.64 | | | | | (98) ~ (e4 = e2) % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | SIMP: (98) implies: % 88.24/12.64 | | | | | (99) ~ (e4 = e2) % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | REDUCE: (47), (96) imply: % 88.24/12.64 | | | | | (100) ~ (e3 = e2) % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | SIMP: (100) implies: % 88.24/12.64 | | | | | (101) ~ (e3 = e2) % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | REDUCE: (77), (96) imply: % 88.24/12.64 | | | | | (102) ~ (e2 = e0) % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | REDUCE: (33), (96) imply: % 88.24/12.64 | | | | | (103) op(e1, e3) = e2 % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | BETA: splitting (59) gives: % 88.24/12.64 | | | | | % 88.24/12.64 | | | | | Case 1: % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | | (104) all_6_1 = e3 % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | | COMBINE_EQS: (10), (104) imply: % 88.24/12.64 | | | | | | (105) all_4_5 = e3 % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | | REDUCE: (42), (105) imply: % 88.24/12.64 | | | | | | (106) $false % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | | CLOSE: (106) is inconsistent. % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | Case 2: % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | | (107) ~ (all_6_1 = e3) % 88.24/12.64 | | | | | | (108) all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0 % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | | BETA: splitting (108) gives: % 88.24/12.64 | | | | | | % 88.24/12.64 | | | | | | Case 1: % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | | (109) all_6_1 = e2 % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | | COMBINE_EQS: (10), (109) imply: % 88.24/12.64 | | | | | | | (110) all_4_5 = e2 % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | | REDUCE: (97), (110) imply: % 88.24/12.64 | | | | | | | (111) $false % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | | CLOSE: (111) is inconsistent. % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | Case 2: % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | | (112) ~ (all_6_1 = e2) % 88.24/12.64 | | | | | | | (113) all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0 % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | | BETA: splitting (113) gives: % 88.24/12.64 | | | | | | | % 88.24/12.64 | | | | | | | Case 1: % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | (114) all_6_1 = e1 % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | COMBINE_EQS: (10), (114) imply: % 88.24/12.64 | | | | | | | | (115) all_4_5 = e1 % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | REDUCE: (42), (115) imply: % 88.24/12.64 | | | | | | | | (116) ~ (e3 = e1) % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | SIMP: (116) implies: % 88.24/12.64 | | | | | | | | (117) ~ (e3 = e1) % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | REDUCE: (97), (115) imply: % 88.24/12.64 | | | | | | | | (118) ~ (e2 = e1) % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | SIMP: (118) implies: % 88.24/12.64 | | | | | | | | (119) ~ (e2 = e1) % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | REDUCE: (65), (115) imply: % 88.24/12.64 | | | | | | | | (120) op(e4, e3) = e1 % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | BETA: splitting (78) gives: % 88.24/12.64 | | | | | | | | % 88.24/12.64 | | | | | | | | Case 1: % 88.24/12.64 | | | | | | | | | % 88.24/12.64 | | | | | | | | | (121) (all_8_12 = e1 & op(e1, e4) = e1) | (all_8_13 = e1 & % 88.24/12.64 | | | | | | | | | op(e1, e3) = e1) % 88.24/12.64 | | | | | | | | | % 88.24/12.64 | | | | | | | | | BETA: splitting (121) gives: % 88.24/12.64 | | | | | | | | | % 88.24/12.64 | | | | | | | | | Case 1: % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | (122) all_8_12 = e1 & op(e1, e4) = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | ALPHA: (122) implies: % 88.24/12.64 | | | | | | | | | | (123) all_8_12 = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | COMBINE_EQS: (79), (123) imply: % 88.24/12.64 | | | | | | | | | | (124) e3 = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | COMBINE_EQS: (17), (124) imply: % 88.24/12.64 | | | | | | | | | | (125) all_8_17 = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | REF_CLOSE: (18), (21), (26), (31), (48), (71), (72), (76), % 88.24/12.64 | | | | | | | | | | (99), (101), (102), (117), (119), (125) are % 88.24/12.64 | | | | | | | | | | inconsistent by sub-proof #62. % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | Case 2: % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | (126) all_8_13 = e1 & op(e1, e3) = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | ALPHA: (126) implies: % 88.24/12.64 | | | | | | | | | | (127) op(e1, e3) = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | BETA: splitting (38) gives: % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | Case 1: % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | (128) ~ (op(e1, e3) = e1) % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | PRED_UNIFY: (127), (128) imply: % 88.24/12.64 | | | | | | | | | | | (129) $false % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | CLOSE: (129) is inconsistent. % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | Case 2: % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | (130) all_4_8 = e1 % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | COMBINE_EQS: (96), (130) imply: % 88.24/12.64 | | | | | | | | | | | (131) e2 = e1 % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | SIMP: (131) implies: % 88.24/12.64 | | | | | | | | | | | (132) e2 = e1 % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | REDUCE: (119), (132) imply: % 88.24/12.64 | | | | | | | | | | | (133) $false % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | | CLOSE: (133) is inconsistent. % 88.24/12.64 | | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | End of split % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | End of split % 88.24/12.64 | | | | | | | | | % 88.24/12.64 | | | | | | | | Case 2: % 88.24/12.64 | | | | | | | | | % 88.24/12.64 | | | | | | | | | (134) (all_8_14 = e1 & op(e1, e2) = e1) | (all_8_15 = e1 & % 88.24/12.64 | | | | | | | | | op(e1, e1) = e1) | (all_8_19 = e1 & op(e1, e0) = % 88.24/12.64 | | | | | | | | | e1) % 88.24/12.64 | | | | | | | | | % 88.24/12.64 | | | | | | | | | BETA: splitting (134) gives: % 88.24/12.64 | | | | | | | | | % 88.24/12.64 | | | | | | | | | Case 1: % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | (135) all_8_14 = e1 & op(e1, e2) = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | ALPHA: (135) implies: % 88.24/12.64 | | | | | | | | | | (136) op(e1, e2) = e1 % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | REF_CLOSE: (19), (58), (136) are inconsistent by sub-proof % 88.24/12.64 | | | | | | | | | | #91. % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | Case 2: % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | (137) (all_8_15 = e1 & op(e1, e1) = e1) | (all_8_19 = e1 % 88.24/12.64 | | | | | | | | | | & op(e1, e0) = e1) % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | BETA: splitting (137) gives: % 88.24/12.64 | | | | | | | | | | % 88.24/12.64 | | | | | | | | | | Case 1: % 88.24/12.64 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | (138) all_8_15 = e1 & op(e1, e1) = e1 % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | ALPHA: (138) implies: % 88.24/12.65 | | | | | | | | | | | (139) op(e1, e1) = e1 % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | PRED_UNIFY: (81), (139) imply: % 88.24/12.65 | | | | | | | | | | | (140) $false % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | CLOSE: (140) is inconsistent. % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | Case 2: % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | (141) all_8_19 = e1 & op(e1, e0) = e1 % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | ALPHA: (141) implies: % 88.24/12.65 | | | | | | | | | | | (142) all_8_19 = e1 % 88.24/12.65 | | | | | | | | | | | (143) op(e1, e0) = e1 % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | BETA: splitting (9) gives: % 88.24/12.65 | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | (144) (all_8_16 = e2 & op(e4, e0) = e2) | (all_8_17 = e2 % 88.24/12.65 | | | | | | | | | | | | & op(e3, e0) = e2) % 88.24/12.65 | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | BETA: splitting (144) gives: % 88.24/12.65 | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | (145) all_8_16 = e2 & op(e4, e0) = e2 % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | REF_CLOSE: (51), (99), (145) are inconsistent by sub-proof % 88.24/12.65 | | | | | | | | | | | | | #61. % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | Case 2: % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | (146) all_8_17 = e2 & op(e3, e0) = e2 % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | ALPHA: (146) implies: % 88.24/12.65 | | | | | | | | | | | | | (147) all_8_17 = e2 % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | COMBINE_EQS: (17), (147) imply: % 88.24/12.65 | | | | | | | | | | | | | (148) e3 = e2 % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | REDUCE: (101), (148) imply: % 88.24/12.65 | | | | | | | | | | | | | (149) $false % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | CLOSE: (149) is inconsistent. % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | End of split % 88.24/12.65 | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | Case 2: % 88.24/12.65 | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | (150) (all_8_18 = e2 & op(e2, e0) = e2) | (all_8_19 = e2 % 88.24/12.65 | | | | | | | | | | | | & op(e1, e0) = e2) | (all_8_24 = e2 & op(e0, e0) % 88.24/12.65 | | | | | | | | | | | | = e2) % 88.24/12.65 | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | BETA: splitting (150) gives: % 88.24/12.65 | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | (151) all_8_18 = e2 & op(e2, e0) = e2 % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | ALPHA: (151) implies: % 88.24/12.65 | | | | | | | | | | | | | (152) all_8_18 = e2 % 88.24/12.65 | | | | | | | | | | | | | (153) op(e2, e0) = e2 % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | BETA: splitting (45) gives: % 88.24/12.65 | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | (154) (all_8_6 = e1 & op(e2, e4) = e1) | (all_8_7 = e1 & % 88.24/12.65 | | | | | | | | | | | | | | op(e2, e3) = e1) % 88.24/12.65 | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | BETA: splitting (154) gives: % 88.24/12.65 | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | (155) all_8_6 = e1 & op(e2, e4) = e1 % 88.24/12.65 | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | ALPHA: (155) implies: % 88.24/12.65 | | | | | | | | | | | | | | | (156) op(e2, e4) = e1 % 88.24/12.65 | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | BETA: splitting (12) gives: % 88.24/12.65 | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | (157) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = % 88.24/12.65 | | | | | | | | | | | | | | | | all_9_45) & op(all_9_41, e4) = all_9_0 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(all_9_41, e3) = e4 & op(e4, e3) = all_9_41 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_0) & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_45)) | (all_9_3 = e4 & % 88.24/12.65 | | | | | | | | | | | | | | | | ~ (all_9_2 = e2) & ~ (all_9_42 = all_9_50) & % 88.24/12.65 | | | | | | | | | | | | | | | | op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = % 88.24/12.65 | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_9_42 & op(e2, e4) = % 88.24/12.65 | | | | | | | | | | | | | | | | all_9_50 & $i(all_9_2) & $i(all_9_42) & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = % 88.24/12.65 | | | | | | | | | | | | | | | | e1) & ~ (all_9_43 = all_9_55) & op(all_9_43, % 88.24/12.65 | | | | | | | | | | | | | | | | e4) = all_9_4 & op(all_9_43, e1) = e4 & op(e4, % 88.24/12.65 | | | | | | | | | | | | | | | | e1) = all_9_43 & op(e1, e4) = all_9_55 & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_4) & $i(all_9_43) & $i(all_9_55)) | % 88.24/12.65 | | | | | | | | | | | | | | | | (all_9_7 = e4 & ~ (all_9_6 = e0) & ~ (all_9_44 = % 88.24/12.65 | | | | | | | | | | | | | | | | all_9_60) & op(all_9_44, e4) = all_9_6 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(all_9_44, e0) = e4 & op(e4, e0) = all_9_44 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_6) & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_60)) | (all_9_9 = e3 & % 88.24/12.65 | | | | | | | | | | | | | | | | ~ (all_9_8 = e4) & ~ (all_9_41 = all_9_45) & % 88.24/12.65 | | | | | | | | | | | | | | | | op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 88.24/12.65 | | | | | | | | | | | | | | | | all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = % 88.24/12.65 | | | | | | | | | | | | | | | | all_9_45 & $i(all_9_8) & $i(all_9_41) & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_45)) | (all_9_11 = e3 & ~ (all_9_10 = % 88.24/12.65 | | | | | | | | | | | | | | | | e2) & ~ (all_9_47 = all_9_51) & op(all_9_47, % 88.24/12.65 | | | | | | | | | | | | | | | | e3) = all_9_10 & op(all_9_47, e2) = e3 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_10) & $i(all_9_47) & $i(all_9_51)) | % 88.24/12.65 | | | | | | | | | | | | | | | | (all_9_13 = e3 & ~ (all_9_12 = e1) & ~ (all_9_48 % 88.24/12.65 | | | | | | | | | | | | | | | | = all_9_56) & op(all_9_48, e3) = all_9_12 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(all_9_48, e1) = e3 & op(e3, e1) = all_9_48 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_12) & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_56)) | (all_9_15 = e3 & % 88.24/12.65 | | | | | | | | | | | | | | | | ~ (all_9_14 = e0) & ~ (all_9_49 = all_9_61) & % 88.24/12.65 | | | | | | | | | | | | | | | | op(all_9_49, e3) = all_9_14 & op(all_9_49, e0) = % 88.24/12.65 | | | | | | | | | | | | | | | | e3 & op(e3, e0) = all_9_49 & op(e0, e3) = % 88.24/12.65 | | | | | | | | | | | | | | | | all_9_61 & $i(all_9_14) & $i(all_9_49) & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_61)) | (all_9_17 = e2 & ~ (all_9_16 = % 88.24/12.65 | | | | | | | | | | | | | | | | e4) & ~ (all_9_42 = all_9_50) & op(all_9_50, % 88.24/12.65 | | | | | | | | | | | | | | | | e4) = e2 & op(all_9_50, e2) = all_9_16 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & op(e2, e4) = all_9_50 & % 88.24/12.65 | | | | | | | | | | | | | | | | $i(all_9_16) & $i(all_9_42) & $i(all_9_50)) | % 88.24/12.65 | | | | | | | | | | | | | | | | (all_9_19 = e2 & ~ (all_9_18 = e3) & ~ (all_9_47 % 88.24/12.65 | | | | | | | | | | | | | | | | = all_9_51) & op(all_9_51, e3) = e2 & % 88.24/12.65 | | | | | | | | | | | | | | | | op(all_9_51, e2) = all_9_18 & op(e3, e2) = % 88.24/12.65 | | | | | | | | | | | | | | | | all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_18) % 88.24/12.65 | | | | | | | | | | | | | | | | & $i(all_9_47) & $i(all_9_51)) % 88.24/12.65 | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | BETA: splitting (157) gives: % 88.24/12.65 | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | (158) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = % 88.24/12.65 | | | | | | | | | | | | | | | | | all_9_45) & op(all_9_41, e4) = all_9_0 & % 88.24/12.65 | | | | | | | | | | | | | | | | | op(all_9_41, e3) = e4 & op(e4, e3) = all_9_41 & % 88.24/12.65 | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_0) & % 88.24/12.65 | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_45)) | (all_9_3 = e4 & % 88.24/12.65 | | | | | | | | | | | | | | | | | ~ (all_9_2 = e2) & ~ (all_9_42 = all_9_50) & % 88.24/12.65 | | | | | | | | | | | | | | | | | op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = % 88.24/12.65 | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_9_42 & op(e2, e4) = % 88.24/12.65 | | | | | | | | | | | | | | | | | all_9_50 & $i(all_9_2) & $i(all_9_42) & % 88.24/12.65 | | | | | | | | | | | | | | | | | $i(all_9_50)) | (all_9_5 = e4 & ~ (all_9_4 = % 88.24/12.65 | | | | | | | | | | | | | | | | | e1) & ~ (all_9_43 = all_9_55) & op(all_9_43, % 88.24/12.65 | | | | | | | | | | | | | | | | | e4) = all_9_4 & op(all_9_43, e1) = e4 & op(e4, % 88.24/12.65 | | | | | | | | | | | | | | | | | e1) = all_9_43 & op(e1, e4) = all_9_55 & % 88.24/12.65 | | | | | | | | | | | | | | | | | $i(all_9_4) & $i(all_9_43) & $i(all_9_55)) | % 88.24/12.65 | | | | | | | | | | | | | | | | | (all_9_7 = e4 & ~ (all_9_6 = e0) & ~ (all_9_44 = % 88.24/12.65 | | | | | | | | | | | | | | | | | all_9_60) & op(all_9_44, e4) = all_9_6 & % 88.24/12.65 | | | | | | | | | | | | | | | | | op(all_9_44, e0) = e4 & op(e4, e0) = all_9_44 & % 88.24/12.65 | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_6) & % 88.24/12.65 | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_60)) | (all_9_9 = e3 & % 88.24/12.65 | | | | | | | | | | | | | | | | | ~ (all_9_8 = e4) & ~ (all_9_41 = all_9_45) & % 88.24/12.65 | | | | | | | | | | | | | | | | | op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 88.24/12.65 | | | | | | | | | | | | | | | | | all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = % 88.24/12.65 | | | | | | | | | | | | | | | | | all_9_45 & $i(all_9_8) & $i(all_9_41) & % 88.24/12.65 | | | | | | | | | | | | | | | | | $i(all_9_45)) % 88.24/12.65 | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives: % 88.24/12.65 | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | | (159) (all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = % 88.24/12.65 | | | | | | | | | | | | | | | | | | all_9_45) & op(all_9_41, e4) = all_9_0 & % 88.24/12.65 | | | | | | | | | | | | | | | | | | op(all_9_41, e3) = e4 & op(e4, e3) = all_9_41 & % 88.24/12.65 | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_0) & % 88.24/12.65 | | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_45)) | (all_9_3 = e4 & % 88.24/12.65 | | | | | | | | | | | | | | | | | | ~ (all_9_2 = e2) & ~ (all_9_42 = all_9_50) & % 88.24/12.65 | | | | | | | | | | | | | | | | | | op(all_9_42, e4) = all_9_2 & op(all_9_42, e2) = % 88.24/12.65 | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_9_42 & op(e2, e4) = % 88.24/12.65 | | | | | | | | | | | | | | | | | | all_9_50 & $i(all_9_2) & $i(all_9_42) & % 88.24/12.65 | | | | | | | | | | | | | | | | | | $i(all_9_50)) % 88.24/12.65 | | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives: % 88.24/12.65 | | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | | | (160) all_9_1 = e4 & ~ (all_9_0 = e3) & ~ (all_9_41 = % 88.24/12.65 | | | | | | | | | | | | | | | | | | | all_9_45) & op(all_9_41, e4) = all_9_0 & % 88.24/12.65 | | | | | | | | | | | | | | | | | | | op(all_9_41, e3) = e4 & op(e4, e3) = all_9_41 & % 88.24/12.65 | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_0) & $i(all_9_41) % 88.24/12.65 | | | | | | | | | | | | | | | | | | | & $i(all_9_45) % 88.24/12.65 | | | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies: % 88.24/12.65 | | | | | | | | | | | | | | | | | | | (161) ~ (all_9_0 = e3) % 88.24/12.65 | | | | | | | | | | | | | | | | | | | (162) op(e4, e3) = all_9_41 % 88.24/12.65 | | | | | | | | | | | | | | | | | | | (163) op(all_9_41, e4) = all_9_0 % 88.24/12.65 | | | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 88.24/12.65 | | | | | | | | | | | | | | | | | | | % 88.24/12.65 | | | | | | | | | | | | | | | | | | | Case 1: % 88.24/12.65 | | | | | | | | | | | | | | | | | | | | % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (164) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & op(e1, e4) = all_9_55 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_40) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_42))) & ((all_9_40 = e1 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_40 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_44 = e4) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_47 = e4) & op(e3, e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_47 & $i(all_9_47))) & ((all_9_45 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_50 = e3 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_51 & $i(all_9_51))) & ((all_9_50 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4)) | ( ~ (all_9_52 = e4) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_54 = e4) & op(e2, e0) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_55 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_57))) & ((all_9_55 = e1 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_55 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_59 = e4) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_62 = e4) & op(e0, e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_62 & $i(all_9_62))) & ((all_9_60 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e3) = all_9_41 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_56) & $i(all_9_61) & ( ~ (all_9_41 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e3)) & ((all_9_41 = e4 & ~ (unit = e3)) | ( % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_42 = e3) & op(e4, e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_41 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_46 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_49 = e3) & op(e3, e0) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_51 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_51 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_57 = e3) & op(e1, e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_56 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_61 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_64 = e3) & op(e0, e0) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (49), (54), (70), (80), (101), (102), % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (164) are inconsistent by sub-proof #57. % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | % 88.24/12.66 | | | | | | | | | | | | | | | | | | | Case 2: % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (165) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_42 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_44 = e2) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_46 = e2) & op(e3, e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_47 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_52 = e4 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_52 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2)) | ( ~ (all_9_51 = e2) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_54 = e2) & op(e2, e0) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_57 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_57 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_59 = e2) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_61 = e2) & op(e0, e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_62 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e1) = all_9_43 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_58) & $i(all_9_63) & ( ~ (all_9_43 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1)) & ((all_9_43 = e4 & ~ (unit = e1)) | ( % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_41 = e1) & op(e4, e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_43 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e0 & ~ (unit = e1)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_48 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_49 = e1) & op(e3, e0) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_53 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_53 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_56 = e1) & op(e1, e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_58 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e0 & ~ (unit = e1)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_63 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_64 = e1) & op(e0, e0) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) | (op(e4, e0) = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | all_9_64 & $i(all_9_44) & $i(all_9_49) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_44 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_43 = e0) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_46 = e0) & op(e3, e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_49 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_54 = e4 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_54 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_51 = e0) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_53 = e0) & op(e2, e1) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_59 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_59 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_61 = e0) & op(e0, e3) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_64 = % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | $i(all_9_63)))) % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives: % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | Case 1: % 88.24/12.66 | | | | | | | | | | | | | | | | | | | | | % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | (166) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ (all_9_41 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e4, e3) = all_9_41 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_44 = e2) & op(e4, % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_47 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_9_46 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_49 = e2) & op(e3, % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_52 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e3 & ~ (unit = e2)) | ( ~ (all_9_51 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_9_51 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e3) = all_9_56 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_59 = e2) & op(e1, % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_62 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e3) = all_9_61 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_64 = e2) & op(e0, % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (70), (103), (166) are inconsistent by % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | Case 2: % 88.24/12.67 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (167) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_43 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_44 = e1) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_46 = e1) & op(e3, e3) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_48 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_53 = e4 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_53 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_51 = e1) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_54 = e1) & op(e2, e0) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_58 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_58 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_59 = e1) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_61 = e1) & op(e0, e3) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_63 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e0) = all_9_44 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_64) & ( ~ (all_9_44 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e0)) & ((all_9_44 = e4 & ~ (unit = e0)) | ( % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_41 = e0) & op(e4, e3) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_44 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_49 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_48 = e0) & op(e3, e1) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_48 & $i(all_9_48))) & ((all_9_54 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_54 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & $i(all_9_53))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_56 = e0) & op(e1, e3) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_59 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_64 = % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_63 = e0) & op(e0, e1) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | = all_9_63 & $i(all_9_63)))) % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.67 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (168) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e4, e3) = all_9_41 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_48 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_9_46 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_49 = e1) & op(e3, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_53 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ (all_9_51 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e3) = all_9_51 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_9_56 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_63 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e3) = all_9_61 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_64 = e1) & op(e0, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (169) (all_9_58 = e0 & ~ (unit = e1)) | ( ~ (all_9_59 = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e0) = all_9_59 & $i(all_9_59)) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (170) (all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e4) = all_9_55 & $i(all_9_55)) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | (171) all_9_58 = e0 & ~ (unit = e1) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (171) implies: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | (172) all_9_58 = e0 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (173) all_9_58 = e4 & ~ (unit = e1) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (172), (173) are inconsistent by sub-proof % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | #53. % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (174) ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (175) op(e1, e4) = all_9_55 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e3, all_9_55, e4, e1, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (175) gives: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (176) all_9_55 = e3 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e1, all_9_41, e3, e4, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (162) gives: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (177) all_9_41 = e1 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with all_9_55, all_9_0, e4, e1, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (175) gives: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (178) all_9_0 = all_9_55 | ~ (op(e1, e4) = all_9_0) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (177) imply: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | (179) op(e1, e4) = all_9_0 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | (180) ~ (op(e1, e4) = all_9_0) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (179), (180) imply: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | (181) $false % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent. % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | (182) all_9_0 = all_9_55 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (182) imply: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | (183) all_9_0 = e3 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (183) imply: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | (184) $false % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent. % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | (185) ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (143), (185) are inconsistent by sub-proof % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | #52. % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (186) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & op(e1, e0) = all_9_59 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_9_64 & $i(all_9_44) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_9_49 = e0) | ~ (unit = e0)) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ (all_9_41 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e4, e3) = all_9_41 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_49 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_9_46 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_48 = e0) & op(e3, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_48 & $i(all_9_48))) & ((all_9_54 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ (all_9_51 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e3) = all_9_51 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ (all_9_56 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e3) = all_9_56 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_64 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_9_61 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_63 = e0) & op(e0, % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_63 & $i(all_9_63))) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (187) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e1) = all_9_58 & $i(all_9_58)) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (13), (16), (19), (25), (27), % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (43), (44), (46), (55), (58), (68), (70), (75), % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | (187) are inconsistent by sub-proof #51. % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.68 | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | (188) all_9_3 = e4 & ~ (all_9_2 = e2) & ~ (all_9_42 = % 88.49/12.68 | | | | | | | | | | | | | | | | | | | all_9_50) & op(all_9_42, e4) = all_9_2 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | op(all_9_42, e2) = e4 & op(e4, e2) = all_9_42 & % 88.49/12.68 | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_2) & $i(all_9_42) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | & $i(all_9_50) % 88.49/12.68 | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | (189) op(all_9_42, e2) = e4 % 88.49/12.68 | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | % 88.49/12.68 | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.68 | | | | | | | | | | | | | | | | | | | | % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (190) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & op(e1, e4) = all_9_55 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_40) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_42))) & ((all_9_40 = e1 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_40 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_44 = e4) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_47 = e4) & op(e3, e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_47 & $i(all_9_47))) & ((all_9_45 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_50 = e3 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_51 & $i(all_9_51))) & ((all_9_50 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4)) | ( ~ (all_9_52 = e4) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_54 = e4) & op(e2, e0) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_55 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_57))) & ((all_9_55 = e1 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_55 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_59 = e4) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_62 = e4) & op(e0, e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_62 & $i(all_9_62))) & ((all_9_60 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e3) = all_9_41 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_56) & $i(all_9_61) & ( ~ (all_9_41 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e3)) & ((all_9_41 = e4 & ~ (unit = e3)) | ( % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_42 = e3) & op(e4, e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_41 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_46 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_49 = e3) & op(e3, e0) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_51 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_51 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_57 = e3) & op(e1, e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_56 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_61 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_64 = e3) & op(e0, e0) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (49), (54), (70), (80), (101), (102), % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (190) are inconsistent by sub-proof #57. % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | % 88.49/12.69 | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (191) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_42 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_44 = e2) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_46 = e2) & op(e3, e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_47 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_52 = e4 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_52 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2)) | ( ~ (all_9_51 = e2) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_54 = e2) & op(e2, e0) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_57 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_57 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_59 = e2) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_61 = e2) & op(e0, e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_62 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e1) = all_9_43 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_58) & $i(all_9_63) & ( ~ (all_9_43 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1)) & ((all_9_43 = e4 & ~ (unit = e1)) | ( % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_41 = e1) & op(e4, e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_43 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_48 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_49 = e1) & op(e3, e0) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_53 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_53 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_56 = e1) & op(e1, e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_58 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_63 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_64 = e1) & op(e0, e0) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) | (op(e4, e0) = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | all_9_64 & $i(all_9_44) & $i(all_9_49) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_44 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_43 = e0) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_46 = e0) & op(e3, e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_49 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_54 = e4 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_54 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_51 = e0) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_53 = e0) & op(e2, e1) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_59 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_59 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_61 = e0) & op(e0, e3) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_64 = % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | $i(all_9_63)))) % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives: % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.69 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (192) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ (all_9_41 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e4, e3) = all_9_41 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_44 = e2) & op(e4, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_47 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_9_46 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_49 = e2) & op(e3, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_52 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e3 & ~ (unit = e2)) | ( ~ (all_9_51 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_9_51 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e3) = all_9_56 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_59 = e2) & op(e1, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_62 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e3) = all_9_61 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_64 = e2) & op(e0, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (70), (103), (192) are inconsistent by % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (193) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_43 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_44 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_46 = e1) & op(e3, e3) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_48 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_53 = e4 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_53 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_51 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_54 = e1) & op(e2, e0) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_58 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_58 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_59 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_61 = e1) & op(e0, e3) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_63 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e0) = all_9_44 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_64) & ( ~ (all_9_44 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e0)) & ((all_9_44 = e4 & ~ (unit = e0)) | ( % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_41 = e0) & op(e4, e3) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_44 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_49 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_48 = e0) & op(e3, e1) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_48 & $i(all_9_48))) & ((all_9_54 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_54 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & $i(all_9_53))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_56 = e0) & op(e1, e3) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_59 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_64 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_63 = e0) & op(e0, e1) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | = all_9_63 & $i(all_9_63)))) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | (194) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e4, e3) = all_9_41 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_48 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_9_46 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_49 = e1) & op(e3, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_53 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ (all_9_51 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e3) = all_9_51 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_9_56 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_63 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e3) = all_9_61 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_64 = e1) & op(e0, % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies: % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | (195) (all_9_58 = e0 & ~ (unit = e1)) | ( ~ (all_9_59 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e0) = all_9_59 & $i(all_9_59)) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | (196) (all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e2) = all_9_57 & $i(all_9_57)) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | (197) (all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e4, e2) = all_9_42 & $i(all_9_42)) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | (198) (all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 = % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e4, e3) = all_9_41 & $i(all_9_41)) % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives: % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.70 | | | | | | | | | | | | | | | | | | | | | | | (199) all_9_43 = e3 & ~ (unit = e1) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | (200) all_9_43 = e3 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | (201) all_9_58 = e0 & ~ (unit = e1) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | (202) all_9_58 = e0 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | (203) all_9_58 = e2 & ~ (unit = e1) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | (204) all_9_58 = e2 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (202), (204) imply: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | (205) e2 = e0 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (205) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | (206) e2 = e0 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (206) imply: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | (207) $false % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | (208) ~ (all_9_57 = e1) & op(e1, e2) = all_9_57 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_57) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | (209) op(e1, e2) = all_9_57 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (210) all_9_43 = e2 & ~ (unit = e1) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (200), (210) are inconsistent by sub-proof % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | #50. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (211) ~ (all_9_42 = e1) & op(e4, e2) = all_9_42 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_42) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (212) op(e4, e2) = all_9_42 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e4, all_9_57, e2, e1, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6), (209) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (213) all_9_57 = e4 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (60), (209) imply: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (214) ~ (all_9_57 = e2) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e0, all_9_42, e2, e4, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2), (212) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (215) all_9_42 = e0 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e2, e4, e2, e0, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (216) e4 = e2 | ~ (op(e0, e2) = e4) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (215) imply: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (217) op(e0, e2) = e4 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (218) ~ (op(e0, e2) = e4) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (217), (218) imply: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219) $false % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220) e4 = e2 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (220) imply: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221) $false % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (221) is inconsistent. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | (222) ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (143), (222) are inconsistent by sub-proof % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | #52. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | (223) ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (120), (223) are inconsistent by sub-proof % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | #49. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | (224) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & op(e1, e0) = all_9_59 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_9_64 & $i(all_9_44) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_9_49 = e0) | ~ (unit = e0)) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ (all_9_41 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e4, e3) = all_9_41 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_49 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_9_46 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_48 = e0) & op(e3, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_48 & $i(all_9_48))) & ((all_9_54 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ (all_9_51 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e3) = all_9_51 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ (all_9_56 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e3) = all_9_56 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_64 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_9_61 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_63 = e0) & op(e0, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_63 & $i(all_9_63))) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | (225) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e1) = all_9_58 & $i(all_9_58)) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (13), (16), (19), (25), (27), % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | (43), (44), (46), (55), (58), (68), (70), (75), % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | (225) are inconsistent by sub-proof #51. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | End of split % 88.49/12.71 | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | (226) (all_9_5 = e4 & ~ (all_9_4 = e1) & ~ (all_9_43 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | all_9_55) & op(all_9_43, e4) = all_9_4 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | op(all_9_43, e1) = e4 & op(e4, e1) = all_9_43 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_4) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_55)) | (all_9_7 = e4 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | ~ (all_9_6 = e0) & ~ (all_9_44 = all_9_60) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | op(all_9_44, e4) = all_9_6 & op(all_9_44, e0) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | e4 & op(e4, e0) = all_9_44 & op(e0, e4) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | all_9_60 & $i(all_9_6) & $i(all_9_44) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | $i(all_9_60)) | (all_9_9 = e3 & ~ (all_9_8 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | e4) & ~ (all_9_41 = all_9_45) & op(all_9_45, % 88.49/12.71 | | | | | | | | | | | | | | | | | | e4) = e3 & op(all_9_45, e3) = all_9_8 & op(e4, % 88.49/12.71 | | | | | | | | | | | | | | | | | | e3) = all_9_41 & op(e3, e4) = all_9_45 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | $i(all_9_8) & $i(all_9_41) & $i(all_9_45)) % 88.49/12.71 | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | (227) all_9_5 = e4 & ~ (all_9_4 = e1) & ~ (all_9_43 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | all_9_55) & op(all_9_43, e4) = all_9_4 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | op(all_9_43, e1) = e4 & op(e4, e1) = all_9_43 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_4) & $i(all_9_43) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | & $i(all_9_55) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | (228) ~ (all_9_43 = all_9_55) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | (229) op(e1, e4) = all_9_55 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | (230) op(e4, e1) = all_9_43 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (70), (80), (228), (229), (230) are % 88.49/12.71 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | (231) (all_9_7 = e4 & ~ (all_9_6 = e0) & ~ (all_9_44 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | all_9_60) & op(all_9_44, e4) = all_9_6 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | op(all_9_44, e0) = e4 & op(e4, e0) = all_9_44 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_6) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_60)) | (all_9_9 = e3 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | ~ (all_9_8 = e4) & ~ (all_9_41 = all_9_45) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | op(all_9_45, e4) = e3 & op(all_9_45, e3) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | all_9_8 & op(e4, e3) = all_9_41 & op(e3, e4) = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | all_9_45 & $i(all_9_8) & $i(all_9_41) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | $i(all_9_45)) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | (232) all_9_7 = e4 & ~ (all_9_6 = e0) & ~ (all_9_44 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | all_9_60) & op(all_9_44, e4) = all_9_6 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | op(all_9_44, e0) = e4 & op(e4, e0) = all_9_44 & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_6) & $i(all_9_44) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | & $i(all_9_60) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | (233) ~ (all_9_44 = all_9_60) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | (234) op(e0, e4) = all_9_60 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | (235) op(e4, e0) = all_9_44 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (50), (70), (233), (234), (235) are % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47. % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | (236) all_9_9 = e3 & ~ (all_9_8 = e4) & ~ (all_9_41 = % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | all_9_45) & op(all_9_45, e4) = e3 & op(all_9_45, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | e3) = all_9_8 & op(e4, e3) = all_9_41 & op(e3, % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | e4) = all_9_45 & $i(all_9_8) & $i(all_9_41) & % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | $i(all_9_45) % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | (237) op(e3, e4) = all_9_45 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | (238) op(all_9_45, e4) = e3 % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.71 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (239) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & op(e1, e4) = all_9_55 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_40) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_42))) & ((all_9_40 = e1 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_40 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_44 = e4) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_47 = e4) & op(e3, e2) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_47 & $i(all_9_47))) & ((all_9_45 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_50 = e3 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_51 & $i(all_9_51))) & ((all_9_50 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4)) | ( ~ (all_9_52 = e4) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_54 = e4) & op(e2, e0) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_55 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_57))) & ((all_9_55 = e1 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_55 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_59 = e4) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_62 = e4) & op(e0, e2) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_62 & $i(all_9_62))) & ((all_9_60 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e3) = all_9_41 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56) & $i(all_9_61) & ( ~ (all_9_41 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e3)) & ((all_9_41 = e4 & ~ (unit = e3)) | ( % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_42 = e3) & op(e4, e2) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_41 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_46 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_49 = e3) & op(e3, e0) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_51 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_51 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_57 = e3) & op(e1, e2) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_56 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_61 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_64 = e3) & op(e0, e0) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (49), (54), (70), (80), (101), (102), % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (239) are inconsistent by sub-proof #57. % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (240) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_42 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_44 = e2) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_46 = e2) & op(e3, e3) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_47 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_52 = e4 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_52 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2)) | ( ~ (all_9_51 = e2) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_54 = e2) & op(e2, e0) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_57 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_57 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_59 = e2) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_61 = e2) & op(e0, e3) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_62 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e1) = all_9_43 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_58) & $i(all_9_63) & ( ~ (all_9_43 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1)) & ((all_9_43 = e4 & ~ (unit = e1)) | ( % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_41 = e1) & op(e4, e3) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_43 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_48 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_49 = e1) & op(e3, e0) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_53 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_53 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_56 = e1) & op(e1, e3) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_58 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_63 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_64 = e1) & op(e0, e0) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) | (op(e4, e0) = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | all_9_64 & $i(all_9_44) & $i(all_9_49) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_44 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_43 = e0) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_46 = e0) & op(e3, e3) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_49 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_54 = e4 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_54 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_51 = e0) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_53 = e0) & op(e2, e1) % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_59 = % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit % 88.49/12.72 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_59 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_61 = e0) & op(e0, e3) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_64 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63)))) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives: % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (241) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ (all_9_41 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e4, e3) = all_9_41 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_44 = e2) & op(e4, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_47 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_9_46 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_49 = e2) & op(e3, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_52 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e3 & ~ (unit = e2)) | ( ~ (all_9_51 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_9_51 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e3) = all_9_56 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_59 = e2) & op(e1, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_62 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e3) = all_9_61 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_64 = e2) & op(e0, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (70), (103), (241) are inconsistent by % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (242) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_43 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_44 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_46 = e1) & op(e3, e3) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_48 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_53 = e4 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_53 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_51 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_54 = e1) & op(e2, e0) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_58 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_58 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_59 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_61 = e1) & op(e0, e3) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_63 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e0) = all_9_44 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_64) & ( ~ (all_9_44 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e0)) & ((all_9_44 = e4 & ~ (unit = e0)) | ( % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_41 = e0) & op(e4, e3) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_44 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_49 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_48 = e0) & op(e3, e1) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_48 & $i(all_9_48))) & ((all_9_54 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_54 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & $i(all_9_53))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_56 = e0) & op(e1, e3) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_59 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e1 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_64 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_63 = e0) & op(e0, e1) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | = all_9_63 & $i(all_9_63)))) % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives: % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | (243) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e4, e3) = all_9_41 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_48 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_9_46 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_49 = e1) & op(e3, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_53 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ (all_9_51 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e3) = all_9_51 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_9_56 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_63 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e3) = all_9_61 & % 88.49/12.73 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_64 = e1) & op(e0, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (244) (all_9_58 = e0 & ~ (unit = e1)) | ( ~ (all_9_59 = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e0) = all_9_59 & $i(all_9_59)) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (245) (all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e4) = all_9_55 & $i(all_9_55)) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (246) all_9_58 = e0 & ~ (unit = e1) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (247) all_9_58 = e0 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (248) all_9_58 = e4 & ~ (unit = e1) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (247), (248) are inconsistent by sub-proof % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | #53. % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (249) ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | (250) op(e1, e4) = all_9_55 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (251) ~ (op(e1, e4) = e4) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e3, all_9_55, e4, e1, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (250) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (252) all_9_55 = e3 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e0, all_9_45, e4, e3, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (237) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (253) all_9_45 = e0 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e4, e3, e4, e0, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (254) e4 = e3 | ~ (op(e0, e4) = e3) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (250), (251) imply: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (255) ~ (all_9_55 = e4) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (252), (255) imply: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (256) ~ (e4 = e3) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (253) imply: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (257) op(e0, e4) = e3 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) ~ (op(e0, e4) = e3) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (257), (258) imply: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259) $false % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (259) is inconsistent. % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260) e4 = e3 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (260) imply: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261) $false % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent. % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) all_4_8 = e3 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (262) imply: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (263) e3 = e2 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (263) imply: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (264) $false % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (264) is inconsistent. % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (265) op(e1, e4) = e4 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (67), (265) are inconsistent by sub-proof % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | #79. % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | (266) ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (143), (266) are inconsistent by sub-proof % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | #52. % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (267) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & op(e1, e0) = all_9_59 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_9_64 & $i(all_9_44) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_9_49 = e0) | ~ (unit = e0)) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ (all_9_41 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e4, e3) = all_9_41 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_49 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_9_46 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_48 = e0) & op(e3, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_48 & $i(all_9_48))) & ((all_9_54 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ (all_9_51 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e3) = all_9_51 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ (all_9_56 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e3) = all_9_56 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_64 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_9_61 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_63 = e0) & op(e0, % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_63 & $i(all_9_63))) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (268) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e1) = all_9_58 & $i(all_9_58)) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (13), (16), (19), (25), (27), % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (46), (55), (58), (68), (70), (75), % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | (268) are inconsistent by sub-proof #51. % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | End of split % 88.49/12.74 | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | Case 2: % 88.49/12.74 | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | (269) (all_9_11 = e3 & ~ (all_9_10 = e2) & ~ (all_9_47 % 88.49/12.74 | | | | | | | | | | | | | | | | | = all_9_51) & op(all_9_47, e3) = all_9_10 & % 88.49/12.74 | | | | | | | | | | | | | | | | | op(all_9_47, e2) = e3 & op(e3, e2) = all_9_47 & % 88.49/12.74 | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_10) & % 88.49/12.74 | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_51)) | (all_9_13 = e3 & % 88.49/12.74 | | | | | | | | | | | | | | | | | ~ (all_9_12 = e1) & ~ (all_9_48 = all_9_56) & % 88.49/12.74 | | | | | | | | | | | | | | | | | op(all_9_48, e3) = all_9_12 & op(all_9_48, e1) = % 88.49/12.74 | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_9_48 & op(e1, e3) = % 88.49/12.74 | | | | | | | | | | | | | | | | | all_9_56 & $i(all_9_12) & $i(all_9_48) & % 88.49/12.74 | | | | | | | | | | | | | | | | | $i(all_9_56)) | (all_9_15 = e3 & ~ (all_9_14 = % 88.49/12.74 | | | | | | | | | | | | | | | | | e0) & ~ (all_9_49 = all_9_61) & op(all_9_49, % 88.49/12.74 | | | | | | | | | | | | | | | | | e3) = all_9_14 & op(all_9_49, e0) = e3 & % 88.49/12.74 | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e0, e3) = all_9_61 & % 88.49/12.74 | | | | | | | | | | | | | | | | | $i(all_9_14) & $i(all_9_49) & $i(all_9_61)) | % 88.49/12.74 | | | | | | | | | | | | | | | | | (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 % 88.49/12.74 | | | | | | | | | | | | | | | | | = all_9_50) & op(all_9_50, e4) = e2 & % 88.49/12.74 | | | | | | | | | | | | | | | | | op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) % 88.49/12.74 | | | | | | | | | | | | | | | | | & $i(all_9_42) & $i(all_9_50)) | (all_9_19 = e2 % 88.49/12.74 | | | | | | | | | | | | | | | | | & ~ (all_9_18 = e3) & ~ (all_9_47 = all_9_51) % 88.49/12.74 | | | | | | | | | | | | | | | | | & op(all_9_51, e3) = e2 & op(all_9_51, e2) = % 88.49/12.74 | | | | | | | | | | | | | | | | | all_9_18 & op(e3, e2) = all_9_47 & op(e2, e3) = % 88.49/12.74 | | | | | | | | | | | | | | | | | all_9_51 & $i(all_9_18) & $i(all_9_47) & % 88.49/12.74 | | | | | | | | | | | | | | | | | $i(all_9_51)) % 88.49/12.74 | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | BETA: splitting (269) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | (270) (all_9_11 = e3 & ~ (all_9_10 = e2) & ~ (all_9_47 % 88.49/12.74 | | | | | | | | | | | | | | | | | | = all_9_51) & op(all_9_47, e3) = all_9_10 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | op(all_9_47, e2) = e3 & op(e3, e2) = all_9_47 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_10) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_51)) | (all_9_13 = e3 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | ~ (all_9_12 = e1) & ~ (all_9_48 = all_9_56) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | op(all_9_48, e3) = all_9_12 & op(all_9_48, e1) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_9_48 & op(e1, e3) = % 88.49/12.74 | | | | | | | | | | | | | | | | | | all_9_56 & $i(all_9_12) & $i(all_9_48) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | $i(all_9_56)) % 88.49/12.74 | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | (271) all_9_11 = e3 & ~ (all_9_10 = e2) & ~ (all_9_47 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | = all_9_51) & op(all_9_47, e3) = all_9_10 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | op(all_9_47, e2) = e3 & op(e3, e2) = all_9_47 & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_10) & % 88.49/12.74 | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_51) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | ALPHA: (271) implies: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | (272) op(e3, e2) = all_9_47 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | (273) op(all_9_47, e2) = e3 % 88.49/12.74 | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | (274) ~ (op(e2, e3) = e2) % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | Case 1: % 88.49/12.74 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (275) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & op(e1, e4) = all_9_55 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_40) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_42))) & ((all_9_40 = e1 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_40 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_44 = e4) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_47 = e4) & op(e3, e2) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_47 & $i(all_9_47))) & ((all_9_45 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_50 = e3 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_51 & $i(all_9_51))) & ((all_9_50 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4)) | ( ~ (all_9_52 = e4) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_54 = e4) & op(e2, e0) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_55 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_57))) & ((all_9_55 = e1 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_55 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_59 = e4) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_62 = e4) & op(e0, e2) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_62 & $i(all_9_62))) & ((all_9_60 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e3) = all_9_41 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56) & $i(all_9_61) & ( ~ (all_9_41 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e3)) & ((all_9_41 = e4 & ~ (unit = e3)) | ( % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_42 = e3) & op(e4, e2) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_41 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_46 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_49 = e3) & op(e3, e0) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_51 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_51 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_57 = e3) & op(e1, e2) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_56 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_61 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_64 = e3) & op(e0, e0) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (70), (80), (101), (274), (275) are % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #46. % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | Case 2: % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (276) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_42 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_44 = e2) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_46 = e2) & op(e3, e3) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_47 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_52 = e4 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_52 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2)) | ( ~ (all_9_51 = e2) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_54 = e2) & op(e2, e0) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_57 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_57 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_59 = e2) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_61 = e2) & op(e0, e3) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_62 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e1) = all_9_43 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_58) & $i(all_9_63) & ( ~ (all_9_43 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e1)) & ((all_9_43 = e4 & ~ (unit = e1)) | ( % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_41 = e1) & op(e4, e3) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_43 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e0 & ~ (unit = e1)) | ( ~ % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_48 = % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & % 88.49/12.75 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_49 = e1) & op(e3, e0) % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_53 = % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_53 = % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_56 = e1) & op(e1, e3) % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_58 = % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e0 & ~ (unit = e1)) | ( ~ % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_63 = % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 88.83/12.75 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_64 = e1) & op(e0, e0) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) | (op(e4, e0) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | all_9_64 & $i(all_9_44) & $i(all_9_49) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_44 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_43 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_46 = e0) & op(e3, e3) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_49 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_54 = e4 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_54 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_51 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_53 = e0) & op(e2, e1) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_59 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_59 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_61 = e0) & op(e0, e3) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_64 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63)))) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives: % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (277) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ (all_9_41 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e4, e3) = all_9_41 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_44 = e2) & op(e4, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_47 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_9_46 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_49 = e2) & op(e3, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_52 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e3 & ~ (unit = e2)) | ( ~ (all_9_51 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_9_51 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e3) = all_9_56 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_59 = e2) & op(e1, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_62 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e3) = all_9_61 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_64 = e2) & op(e0, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (70), (103), (277) are inconsistent by % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (278) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_43 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_44 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_46 = e1) & op(e3, e3) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_48 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_53 = e4 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_53 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_51 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_54 = e1) & op(e2, e0) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_58 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_58 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_59 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_61 = e1) & op(e0, e3) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_63 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e0) = all_9_44 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_64) & ( ~ (all_9_44 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e0)) & ((all_9_44 = e4 & ~ (unit = e0)) | ( % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_41 = e0) & op(e4, e3) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_44 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e1 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_49 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_48 = e0) & op(e3, e1) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_48 & $i(all_9_48))) & ((all_9_54 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_54 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & $i(all_9_53))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_56 = e0) & op(e1, e3) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_59 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e1 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_64 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_63 = e0) & op(e0, e1) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | = all_9_63 & $i(all_9_63)))) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives: % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | (279) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e4, e3) = all_9_41 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_48 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_9_46 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_49 = e1) & op(e3, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_53 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ (all_9_51 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e3) = all_9_51 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_9_56 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_63 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e3) = all_9_61 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_64 = e1) & op(e0, % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (280) op(e4, e1) = all_9_43 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (281) (all_9_58 = e0 & ~ (unit = e1)) | ( ~ (all_9_59 = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e0) = all_9_59 & $i(all_9_59)) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (282) (all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e4) = all_9_55 & $i(all_9_55)) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (283) (all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e4, e2) = all_9_42 & $i(all_9_42)) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | (284) all_9_58 = e0 & ~ (unit = e1) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | (285) all_9_58 = e0 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (286) all_9_58 = e4 & ~ (unit = e1) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (285), (286) are inconsistent by sub-proof % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | #53. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (287) ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | (288) op(e1, e4) = all_9_55 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (289) ~ (op(e1, e4) = e4) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e3, all_9_43, e1, e4, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (280) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) all_9_43 = e3 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) all_9_43 = e2 & ~ (unit = e1) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (290), (291) are inconsistent by sub-proof % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #50. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e3, all_9_55, e4, e1, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (288) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_9_55 = e3 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e1, all_9_47, e2, e3, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (272) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) all_9_47 = e1 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e4, e3, e2, e1, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) e4 = e3 | ~ (op(e1, e2) = e3) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (288), (289) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) ~ (all_9_55 = e4) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (292), (295) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) ~ (e4 = e3) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (293) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) op(e1, e2) = e3 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) ~ (op(e1, e2) = e3) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (297), (298) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) $false % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (299) is inconsistent. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) e4 = e3 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (300) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) $false % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (301) is inconsistent. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_4_5 = e3 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (302) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) e3 = e1 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (303) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_8_17 = e1 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (26), (31), (48), (71), (72), (76), % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (99), (101), (102), (117), (119), (304) are % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (305) op(e1, e4) = e4 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (67), (305) are inconsistent by sub-proof % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | #79. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | (306) ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (143), (306) are inconsistent by sub-proof % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | #52. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (307) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & op(e1, e0) = all_9_59 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_9_64 & $i(all_9_44) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_9_49 = e0) | ~ (unit = e0)) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ (all_9_41 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e4, e3) = all_9_41 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_49 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_9_46 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_48 = e0) & op(e3, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_48 & $i(all_9_48))) & ((all_9_54 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ (all_9_51 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e3) = all_9_51 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ (all_9_56 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e3) = all_9_56 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_64 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_9_61 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_63 = e0) & op(e0, % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_63 & $i(all_9_63))) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (308) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e1) = all_9_58 & $i(all_9_58)) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (13), (16), (19), (25), (27), % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (46), (55), (58), (68), (70), (75), % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | (308) are inconsistent by sub-proof #51. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | (309) all_6_11 = e2 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (309) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | (310) e2 = e0 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (310) imply: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | (311) $false % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | CLOSE: (311) is inconsistent. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (312) all_9_13 = e3 & ~ (all_9_12 = e1) & ~ (all_9_48 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | = all_9_56) & op(all_9_48, e3) = all_9_12 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | op(all_9_48, e1) = e3 & op(e3, e1) = all_9_48 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_12) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_56) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (313) ~ (all_9_48 = all_9_56) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (314) op(e1, e3) = all_9_56 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (10), (13), (16), (19), (25), (27), % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (28), (31), (36), (43), (44), (46), (49), (54), % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (55), (58), (68), (70), (74), (75), (80), (101), % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (102), (103), (313), (314) are inconsistent by % 88.83/12.77 | | | | | | | | | | | | | | | | | | | sub-proof #45. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | End of split % 88.83/12.77 | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | (315) (all_9_15 = e3 & ~ (all_9_14 = e0) & ~ (all_9_49 % 88.83/12.77 | | | | | | | | | | | | | | | | | | = all_9_61) & op(all_9_49, e3) = all_9_14 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_14) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_61)) | (all_9_17 = e2 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | ~ (all_9_16 = e4) & ~ (all_9_42 = all_9_50) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | op(all_9_50, e4) = e2 & op(all_9_50, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | all_9_16 & op(e4, e2) = all_9_42 & op(e2, e4) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | all_9_50 & $i(all_9_16) & $i(all_9_42) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | $i(all_9_50)) | (all_9_19 = e2 & ~ (all_9_18 = % 88.83/12.77 | | | | | | | | | | | | | | | | | | e3) & ~ (all_9_47 = all_9_51) & op(all_9_51, % 88.83/12.77 | | | | | | | | | | | | | | | | | | e3) = e2 & op(all_9_51, e2) = all_9_18 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & op(e2, e3) = all_9_51 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | $i(all_9_18) & $i(all_9_47) & $i(all_9_51)) % 88.83/12.77 | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (316) all_9_15 = e3 & ~ (all_9_14 = e0) & ~ (all_9_49 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | = all_9_61) & op(all_9_49, e3) = all_9_14 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | op(all_9_49, e0) = e3 & op(e3, e0) = all_9_49 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_14) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_61) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (317) ~ (all_9_49 = all_9_61) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (318) op(e0, e3) = all_9_61 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (319) op(e3, e0) = all_9_49 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (23), (70), (317), (318), (319) are % 88.83/12.77 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44. % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | (320) (all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | = all_9_50) & op(all_9_50, e4) = e2 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | & $i(all_9_42) & $i(all_9_50)) | (all_9_19 = e2 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | & ~ (all_9_18 = e3) & ~ (all_9_47 = all_9_51) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | & op(all_9_51, e3) = e2 & op(all_9_51, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | all_9_18 & op(e3, e2) = all_9_47 & op(e2, e3) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | all_9_51 & $i(all_9_18) & $i(all_9_47) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | $i(all_9_51)) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | (321) all_9_17 = e2 & ~ (all_9_16 = e4) & ~ (all_9_42 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | = all_9_50) & op(all_9_50, e4) = e2 & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | op(all_9_50, e2) = all_9_16 & op(e4, e2) = % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | all_9_42 & op(e2, e4) = all_9_50 & $i(all_9_16) & % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | $i(all_9_42) & $i(all_9_50) % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (321) implies: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | (322) op(e2, e4) = all_9_50 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | (323) op(all_9_50, e4) = e2 % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | Case 1: % 88.83/12.77 | | | | | | | | | | | | | | | | | | | | | % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (324) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & op(e1, e4) = all_9_55 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_40) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_42))) & ((all_9_40 = e1 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_40 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_44 = e4) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_47 = e4) & op(e3, e2) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_47 & $i(all_9_47))) & ((all_9_45 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_50 = e3 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_51 & $i(all_9_51))) & ((all_9_50 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4)) | ( ~ (all_9_52 = e4) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_54 = e4) & op(e2, e0) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_55 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_57))) & ((all_9_55 = e1 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_55 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_59 = e4) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_62 = e4) & op(e0, e2) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_62 & $i(all_9_62))) & ((all_9_60 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e3) = all_9_41 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56) & $i(all_9_61) & ( ~ (all_9_41 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e3)) & ((all_9_41 = e4 & ~ (unit = e3)) | ( % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_42 = e3) & op(e4, e2) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_41 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_46 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_49 = e3) & op(e3, e0) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_51 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_51 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_57 = e3) & op(e1, e2) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_56 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_61 = % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_64 = e3) & op(e0, e0) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (49), (54), (70), (80), (101), (102), % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | (324) are inconsistent by sub-proof #57. % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | Case 2: % 88.83/12.78 | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (325) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_42 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_44 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_46 = e2) & op(e3, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_47 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_52 = e4 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_52 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2)) | ( ~ (all_9_51 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_54 = e2) & op(e2, e0) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_57 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_57 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_59 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_61 = e2) & op(e0, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_62 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e1) = all_9_43 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_58) & $i(all_9_63) & ( ~ (all_9_43 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e1)) & ((all_9_43 = e4 & ~ (unit = e1)) | ( % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_41 = e1) & op(e4, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_43 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_48 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_49 = e1) & op(e3, e0) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_53 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_53 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_56 = e1) & op(e1, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_58 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_63 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_64 = e1) & op(e0, e0) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) | (op(e4, e0) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | all_9_64 & $i(all_9_44) & $i(all_9_49) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_44 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_43 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_46 = e0) & op(e3, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_49 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_54 = e4 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_54 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_51 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_53 = e0) & op(e2, e1) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_59 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_59 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_61 = e0) & op(e0, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_64 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | $i(all_9_63)))) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives: % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (326) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ (all_9_41 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e4, e3) = all_9_41 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_44 = e2) & op(e4, % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_47 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_9_46 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_49 = e2) & op(e3, % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_52 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e3 & ~ (unit = e2)) | ( ~ (all_9_51 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_9_51 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e3) = all_9_56 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_59 = e2) & op(e1, % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_62 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e3) = all_9_61 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_64 = e2) & op(e0, % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (70), (103), (326) are inconsistent by % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (327) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_43 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_44 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_46 = e1) & op(e3, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_48 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_53 = e4 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_53 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_51 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_54 = e1) & op(e2, e0) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_58 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_58 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_59 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_61 = e1) & op(e0, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_63 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e0) = all_9_44 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_64) & ( ~ (all_9_44 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e0)) & ((all_9_44 = e4 & ~ (unit = e0)) | ( % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_41 = e0) & op(e4, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_44 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_49 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_48 = e0) & op(e3, e1) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_48 & $i(all_9_48))) & ((all_9_54 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_54 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & $i(all_9_53))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_56 = e0) & op(e1, e3) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_59 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_64 = % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_63 = e0) & op(e0, e1) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | = all_9_63 & $i(all_9_63)))) % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives: % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.79 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (328) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e4, e3) = all_9_41 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_48 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_9_46 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_49 = e1) & op(e3, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_53 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ (all_9_51 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e3) = all_9_51 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_9_56 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_63 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e3) = all_9_61 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_64 = e1) & op(e0, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (329) (all_9_58 = e0 & ~ (unit = e1)) | ( ~ (all_9_59 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e0) = all_9_59 & $i(all_9_59)) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (330) (all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_9_56 & $i(all_9_56)) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (331) (all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e4) = all_9_55 & $i(all_9_55)) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (332) (all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e4, e2) = all_9_42 & $i(all_9_42)) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (333) (all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e4, e3) = all_9_41 & $i(all_9_41)) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | (334) all_9_43 = e3 & ~ (unit = e1) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | (335) all_9_43 = e3 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_9_58 = e0 & ~ (unit = e1) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | (337) all_9_58 = e0 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_9_58 = e4 & ~ (unit = e1) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_9_58 = e4 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (337), (339) imply: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (340) e4 = e0 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (340) imply: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (341) $false % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (341) is inconsistent. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (342) ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (343) op(e1, e4) = all_9_55 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_9_58 = e3 & ~ (unit = e1) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (337), (344) are inconsistent by sub-proof % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | #43. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) op(e1, e3) = all_9_56 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) ~ (op(e1, e3) = e3) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) all_9_43 = e2 & ~ (unit = e1) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (335), (348) are inconsistent by sub-proof % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #50. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e2, all_9_56, e3, e1, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (103), (346) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) all_9_56 = e2 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e3, all_9_55, e4, e1, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (343) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) all_9_55 = e3 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e1, all_9_50, e4, e2, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (156), (322) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) all_9_50 = e1 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (346), (347) imply: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) ~ (all_9_56 = e3) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (351) imply: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) op(e1, e4) = e2 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (80), (101), (353) are inconsistent by % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) all_6_16 = e3 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (354) imply: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) e3 = e2 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (355) imply: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) $false % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | (357) ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (143), (357) are inconsistent by sub-proof % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | #52. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | (358) ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (120), (358) are inconsistent by sub-proof % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | #49. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (359) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & op(e1, e0) = all_9_59 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_9_64 & $i(all_9_44) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_9_49 = e0) | ~ (unit = e0)) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ (all_9_41 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e4, e3) = all_9_41 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_49 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_9_46 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_48 = e0) & op(e3, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_48 & $i(all_9_48))) & ((all_9_54 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ (all_9_51 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e3) = all_9_51 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ (all_9_56 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e3) = all_9_56 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_64 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_9_61 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_63 = e0) & op(e0, % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_63 & $i(all_9_63))) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (360) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e1) = all_9_58 & $i(all_9_58)) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (13), (16), (19), (25), (27), % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (46), (55), (58), (68), (70), (75), % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | (360) are inconsistent by sub-proof #51. % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | End of split % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | (361) all_9_19 = e2 & ~ (all_9_18 = e3) & ~ (all_9_47 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | = all_9_51) & op(all_9_51, e3) = e2 & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | op(all_9_51, e2) = all_9_18 & op(e3, e2) = % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | all_9_47 & op(e2, e3) = all_9_51 & $i(all_9_18) & % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_51) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (361) implies: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | (362) op(e2, e3) = all_9_51 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | (363) op(all_9_51, e3) = e2 % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | (364) ~ (op(e2, e3) = e2) % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.80 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (365) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & op(e1, e4) = all_9_55 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_40) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_42))) & ((all_9_40 = e1 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_40 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_44 = e4) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_47 = e4) & op(e3, e2) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_47 & $i(all_9_47))) & ((all_9_45 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_50 = e3 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_51 & $i(all_9_51))) & ((all_9_50 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4)) | ( ~ (all_9_52 = e4) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & $i(all_9_52))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_54 = e4) & op(e2, e0) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_55 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & $i(all_9_56))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_57))) & ((all_9_55 = e1 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_55 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)) | ( ~ (all_9_59 = e4) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e4)) | ( ~ (all_9_62 = e4) & op(e0, e2) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_62 & $i(all_9_62))) & ((all_9_60 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e3) = all_9_41 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56) & $i(all_9_61) & ( ~ (all_9_41 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e3)) & ((all_9_41 = e4 & ~ (unit = e3)) | ( % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_42 = e3) & op(e4, e2) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_41 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_46 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_49 = e3) & op(e3, e0) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_51 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_51 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_57 = e3) & op(e1, e2) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_56 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_61 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e3)) | ( ~ (all_9_64 = e3) & op(e0, e0) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (70), (80), (101), (364), (365) are % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #46. % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (366) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_43 & $i(all_9_43))) & ((all_9_42 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_44 = e2) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_46 = e2) & op(e3, e3) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_47 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & $i(all_9_48))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_52 = e4 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_52 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2)) | ( ~ (all_9_51 = e2) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_54 = e2) & op(e2, e0) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_57 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_58 & $i(all_9_58))) & ((all_9_57 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)) | ( ~ (all_9_59 = e2) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e2)) | ( ~ (all_9_61 = e2) & op(e0, e3) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_62 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_63))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e1) = all_9_43 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_58) & $i(all_9_63) & ( ~ (all_9_43 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e1)) & ((all_9_43 = e4 & ~ (unit = e1)) | ( % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_41 = e1) & op(e4, e3) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_43 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_48 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_49 = e1) & op(e3, e0) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_49 & $i(all_9_49))) & ((all_9_53 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_53 = % 88.94/12.81 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & $i(all_9_54))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_56 = e1) & op(e1, e3) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_58 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_63 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_64 = e1) & op(e0, e0) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_64 & $i(all_9_64)))) | (op(e4, e0) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | all_9_64 & $i(all_9_44) & $i(all_9_49) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_44 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_43 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & $i(all_9_43))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_46 = e0) & op(e3, e3) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_49 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48))) & ((all_9_54 = e4 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_54 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_51 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_53 = e0) & op(e2, e1) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_53 & $i(all_9_53))) & ((all_9_59 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_59 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_9_58 & $i(all_9_58))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_61 = e0) & op(e0, e3) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_64 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63)))) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives: % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (367) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_9_52 & op(e1, e2) = all_9_57 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_42) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ (all_9_41 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e4, e3) = all_9_41 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_42 = e1 & ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_44 = e2) & op(e4, % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_47 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_9_46 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_49 = e2) & op(e3, % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_52 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_52 = e3 & ~ (unit = e2)) | ( ~ (all_9_51 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e2, e3) = all_9_51 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e3) = all_9_56 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_57 = e1 & ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_59 = e2) & op(e1, % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_62 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e3) = all_9_61 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2)) | ( ~ (all_9_64 = e2) & op(e0, % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (31), (70), (103), (367) are inconsistent by % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (368) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = all_9_40 & $i(all_9_40))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_42 & $i(all_9_42))) & ((all_9_43 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_44 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_9_44 & $i(all_9_44))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_46 = e1) & op(e3, e3) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_46 & $i(all_9_46))) & ((all_9_48 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_9_47 & $i(all_9_47))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49))) & ((all_9_53 = e4 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_50 & $i(all_9_50))) & ((all_9_53 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1)) | ( ~ (all_9_51 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_9_51 & $i(all_9_51))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_54 = e1) & op(e2, e0) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_54 & $i(all_9_54))) & ((all_9_58 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_57 & $i(all_9_57))) & ((all_9_58 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)) | ( ~ (all_9_59 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & $i(all_9_59))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e1)) | ( ~ (all_9_61 = e1) & op(e0, e3) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_61 & $i(all_9_61))) & ((all_9_63 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_62))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64)))) | (op(e4, e0) = all_9_44 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_64) & ( ~ (all_9_44 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e0)) & ((all_9_44 = e4 & ~ (unit = e0)) | ( % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_41 = e0) & op(e4, e3) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_41 & $i(all_9_41))) & ((all_9_44 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_9_42 & $i(all_9_42))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_45 & $i(all_9_45))) & ((all_9_49 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_9_46 & $i(all_9_46))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_48 = e0) & op(e3, e1) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_48 & $i(all_9_48))) & ((all_9_54 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_52 & $i(all_9_52))) & ((all_9_54 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & $i(all_9_53))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_56 = e0) & op(e1, e3) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_56 & $i(all_9_56))) & ((all_9_59 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_57))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e1 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_60 & $i(all_9_60))) & ((all_9_64 = % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_9_61 & $i(all_9_61))) & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_9_63 = e0) & op(e0, e1) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | = all_9_63 & $i(all_9_63)))) % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives: % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 88.94/12.82 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (369) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e1) = all_9_58 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_43) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_9_48 = e1) | ~ (unit = e1)) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ (all_9_41 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e4, e3) = all_9_41 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_43 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_44 & $i(all_9_44))) & ((all_9_48 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_9_46 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_49 = e1) & op(e3, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_49 & $i(all_9_49))) & ((all_9_53 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_53 = e3 & ~ (unit = e1)) | ( ~ (all_9_51 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e3) = all_9_51 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e1, e3) = all_9_56 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_58 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_59 & $i(all_9_59))) & ((all_9_63 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e3) = all_9_61 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) | ( ~ (all_9_64 = e1) & op(e0, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_9_64 & $i(all_9_64))) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (370) (all_9_58 = e0 & ~ (unit = e1)) | ( ~ (all_9_59 = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e0) = all_9_59 & $i(all_9_59)) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (371) (all_9_58 = e3 & ~ (unit = e1)) | ( ~ (all_9_56 = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e3) = all_9_56 & $i(all_9_56)) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | (372) all_9_58 = e0 & ~ (unit = e1) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_9_58 = e0 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (374) all_9_58 = e3 & ~ (unit = e1) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (373), (374) are inconsistent by sub-proof % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | #43. % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (375) ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (375) implies: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (376) op(e1, e3) = all_9_56 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) ~ (op(e1, e3) = e3) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e2, all_9_56, e3, e1, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (103), (376) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_9_56 = e2 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e0, all_9_51, e3, e2, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (37), (362) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_9_51 = e0 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e3, e2, e3, e0, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) e3 = e2 | ~ (op(e0, e3) = e2) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (376), (377) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) ~ (all_9_56 = e3) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (379) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) op(e0, e3) = e2 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) ~ (op(e0, e3) = e2) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (382), (383) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) $false % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent. % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) e3 = e2 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (385) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) $false % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (386) is inconsistent. % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_6_16 = e3 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (387) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) e3 = e2 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (388) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) $false % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (389) is inconsistent. % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | (390) ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_59) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (143), (390) are inconsistent by sub-proof % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | #52. % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (391) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & op(e1, e0) = all_9_59 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_9_64 & $i(all_9_44) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_9_49 = e0) | ~ (unit = e0)) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = all_9_40 & $i(all_9_40))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ (all_9_41 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e4, e3) = all_9_41 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_41))) & ((all_9_44 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_49 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_9_46 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_48 = e0) & op(e3, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_48 & $i(all_9_48))) & ((all_9_54 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_9_50 & $i(all_9_50))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_54 = e3 & ~ (unit = e0)) | ( ~ (all_9_51 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e3) = all_9_51 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_9_55 & $i(all_9_55))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ (all_9_56 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e3) = all_9_56 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_56))) & ((all_9_59 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_64 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e0, e3) = all_9_61 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) | ( ~ (all_9_63 = e0) & op(e0, % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_9_63 & $i(all_9_63))) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (391) implies: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (392) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e1) = all_9_58 & $i(all_9_58)) % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (13), (16), (19), (25), (27), % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (46), (55), (58), (68), (70), (75), % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | (392) are inconsistent by sub-proof #51. % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | (393) all_6_11 = e2 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (393) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | (394) e2 = e0 % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (394) imply: % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | (395) $false % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | CLOSE: (395) is inconsistent. % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | End of split % 89.11/12.83 | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | Case 2: % 89.11/12.83 | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | (396) (all_9_21 = e2 & ~ (all_9_20 = e1) & ~ (all_9_53 % 89.11/12.83 | | | | | | | | | | | | | | | | = all_9_57) & op(all_9_53, e2) = all_9_20 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(all_9_53, e1) = e2 & op(e2, e1) = all_9_53 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_20) & % 89.11/12.83 | | | | | | | | | | | | | | | | $i(all_9_53) & $i(all_9_57)) | (all_9_23 = e2 & % 89.11/12.83 | | | | | | | | | | | | | | | | ~ (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & % 89.11/12.83 | | | | | | | | | | | | | | | | op(all_9_54, e2) = all_9_22 & op(all_9_54, e0) = % 89.11/12.83 | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_9_54 & op(e0, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_22) & $i(all_9_54) & % 89.11/12.83 | | | | | | | | | | | | | | | | $i(all_9_62)) | (all_9_25 = e1 & ~ (all_9_24 = % 89.11/12.83 | | | | | | | | | | | | | | | | e4) & ~ (all_9_43 = all_9_55) & op(all_9_55, % 89.11/12.83 | | | | | | | | | | | | | | | | e4) = e1 & op(all_9_55, e1) = all_9_24 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & % 89.11/12.83 | | | | | | | | | | | | | | | | $i(all_9_24) & $i(all_9_43) & $i(all_9_55)) | % 89.11/12.83 | | | | | | | | | | | | | | | | (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 % 89.11/12.83 | | | | | | | | | | | | | | | | = all_9_56) & op(all_9_56, e3) = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) % 89.11/12.83 | | | | | | | | | | | | | | | | & $i(all_9_48) & $i(all_9_56)) | (all_9_29 = e1 % 89.11/12.83 | | | | | | | | | | | | | | | | & ~ (all_9_28 = e2) & ~ (all_9_53 = all_9_57) % 89.11/12.83 | | | | | | | | | | | | | | | | & op(all_9_57, e2) = e1 & op(all_9_57, e1) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_28 & op(e2, e1) = all_9_53 & op(e1, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_28) & $i(all_9_53) & % 89.11/12.83 | | | | | | | | | | | | | | | | $i(all_9_57)) | (all_9_31 = e1 & ~ (all_9_30 = % 89.11/12.83 | | | | | | | | | | | | | | | | e0) & ~ (all_9_59 = all_9_63) & op(all_9_59, % 89.11/12.83 | | | | | | | | | | | | | | | | e1) = all_9_30 & op(all_9_59, e0) = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & % 89.11/12.83 | | | | | | | | | | | | | | | | $i(all_9_30) & $i(all_9_59) & $i(all_9_63)) | % 89.11/12.83 | | | | | | | | | | | | | | | | (all_9_33 = e0 & ~ (all_9_32 = e4) & ~ (all_9_44 % 89.11/12.83 | | | | | | | | | | | | | | | | = all_9_60) & op(all_9_60, e4) = e0 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(all_9_60, e0) = all_9_32 & op(e4, e0) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_32) % 89.11/12.83 | | | | | | | | | | | | | | | | & $i(all_9_44) & $i(all_9_60)) | (all_9_35 = e0 % 89.11/12.83 | | | | | | | | | | | | | | | | & ~ (all_9_34 = e3) & ~ (all_9_49 = all_9_61) % 89.11/12.83 | | | | | | | | | | | | | | | | & op(all_9_61, e3) = e0 & op(all_9_61, e0) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_34 & op(e3, e0) = all_9_49 & op(e0, e3) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_61 & $i(all_9_34) & $i(all_9_49) & % 89.11/12.83 | | | | | | | | | | | | | | | | $i(all_9_61)) | (all_9_37 = e0 & ~ (all_9_36 = % 89.11/12.83 | | | | | | | | | | | | | | | | e2) & ~ (all_9_54 = all_9_62) & op(all_9_62, % 89.11/12.83 | | | | | | | | | | | | | | | | e2) = e0 & op(all_9_62, e0) = all_9_36 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(e2, e0) = all_9_54 & op(e0, e2) = all_9_62 & % 89.11/12.83 | | | | | | | | | | | | | | | | $i(all_9_36) & $i(all_9_54) & $i(all_9_62)) | % 89.11/12.83 | | | | | | | | | | | | | | | | (all_9_39 = e0 & ~ (all_9_38 = e1) & ~ (all_9_59 % 89.11/12.83 | | | | | | | | | | | | | | | | = all_9_63) & op(all_9_63, e1) = e0 & % 89.11/12.83 | | | | | | | | | | | | | | | | op(all_9_63, e0) = all_9_38 & op(e1, e0) = % 89.11/12.83 | | | | | | | | | | | | | | | | all_9_59 & op(e0, e1) = all_9_63 & $i(all_9_38) % 89.11/12.83 | | | | | | | | | | | | | | | | & $i(all_9_59) & $i(all_9_63)) % 89.11/12.83 | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | BETA: splitting (396) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | Case 1: % 89.11/12.83 | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | (397) (all_9_21 = e2 & ~ (all_9_20 = e1) & ~ (all_9_53 % 89.11/12.83 | | | | | | | | | | | | | | | | | = all_9_57) & op(all_9_53, e2) = all_9_20 & % 89.11/12.83 | | | | | | | | | | | | | | | | | op(all_9_53, e1) = e2 & op(e2, e1) = all_9_53 & % 89.11/12.83 | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_20) & % 89.11/12.83 | | | | | | | | | | | | | | | | | $i(all_9_53) & $i(all_9_57)) | (all_9_23 = e2 & % 89.11/12.83 | | | | | | | | | | | | | | | | | ~ (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & % 89.11/12.83 | | | | | | | | | | | | | | | | | op(all_9_54, e2) = all_9_22 & op(all_9_54, e0) = % 89.11/12.83 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_9_54 & op(e0, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_22) & $i(all_9_54) & % 89.11/12.83 | | | | | | | | | | | | | | | | | $i(all_9_62)) | (all_9_25 = e1 & ~ (all_9_24 = % 89.11/12.83 | | | | | | | | | | | | | | | | | e4) & ~ (all_9_43 = all_9_55) & op(all_9_55, % 89.11/12.83 | | | | | | | | | | | | | | | | | e4) = e1 & op(all_9_55, e1) = all_9_24 & % 89.11/12.83 | | | | | | | | | | | | | | | | | op(e4, e1) = all_9_43 & op(e1, e4) = all_9_55 & % 89.11/12.83 | | | | | | | | | | | | | | | | | $i(all_9_24) & $i(all_9_43) & $i(all_9_55)) | % 89.11/12.83 | | | | | | | | | | | | | | | | | (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 % 89.11/12.83 | | | | | | | | | | | | | | | | | = all_9_56) & op(all_9_56, e3) = e1 & % 89.11/12.83 | | | | | | | | | | | | | | | | | op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 89.11/12.83 | | | | | | | | | | | | | | | | | all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) % 89.11/12.83 | | | | | | | | | | | | | | | | | & $i(all_9_48) & $i(all_9_56)) | (all_9_29 = e1 % 89.11/12.83 | | | | | | | | | | | | | | | | | & ~ (all_9_28 = e2) & ~ (all_9_53 = all_9_57) % 89.11/12.83 | | | | | | | | | | | | | | | | | & op(all_9_57, e2) = e1 & op(all_9_57, e1) = % 89.11/12.83 | | | | | | | | | | | | | | | | | all_9_28 & op(e2, e1) = all_9_53 & op(e1, e2) = % 89.11/12.83 | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_28) & $i(all_9_53) & % 89.11/12.83 | | | | | | | | | | | | | | | | | $i(all_9_57)) % 89.11/12.83 | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | BETA: splitting (397) gives: % 89.11/12.83 | | | | | | | | | | | | | | | | | % 89.11/12.83 | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.83 | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | (398) (all_9_21 = e2 & ~ (all_9_20 = e1) & ~ (all_9_53 % 89.11/12.84 | | | | | | | | | | | | | | | | | | = all_9_57) & op(all_9_53, e2) = all_9_20 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | op(all_9_53, e1) = e2 & op(e2, e1) = all_9_53 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_20) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_53) & $i(all_9_57)) | (all_9_23 = e2 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | ~ (all_9_22 = e0) & ~ (all_9_54 = all_9_62) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | op(all_9_54, e2) = all_9_22 & op(all_9_54, e0) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_9_54 & op(e0, e2) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_22) & $i(all_9_54) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_62)) % 89.11/12.84 | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives: % 89.11/12.84 | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (399) all_9_21 = e2 & ~ (all_9_20 = e1) & ~ (all_9_53 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | = all_9_57) & op(all_9_53, e2) = all_9_20 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | op(all_9_53, e1) = e2 & op(e2, e1) = all_9_53 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_9_57 & $i(all_9_20) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | $i(all_9_53) & $i(all_9_57) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (400) ~ (all_9_53 = all_9_57) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (401) op(e1, e2) = all_9_57 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (10), (13), (16), (19), (25), (27), % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (31), (36), (43), (44), (46), (49), (54), (55), % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (58), (68), (70), (74), (75), (80), (101), (102), % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (103), (156), (400), (401) are inconsistent by % 89.11/12.84 | | | | | | | | | | | | | | | | | | | sub-proof #42. % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (402) all_9_23 = e2 & ~ (all_9_22 = e0) & ~ (all_9_54 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | = all_9_62) & op(all_9_54, e2) = all_9_22 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | op(all_9_54, e0) = e2 & op(e2, e0) = all_9_54 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_9_62 & $i(all_9_22) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_62) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (403) ~ (all_9_54 = all_9_62) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (404) op(e0, e2) = all_9_62 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (405) op(e2, e0) = all_9_54 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (70), (153), (403), (404), (405) are % 89.11/12.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41. % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | End of split % 89.11/12.84 | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.84 | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | (406) (all_9_25 = e1 & ~ (all_9_24 = e4) & ~ (all_9_43 % 89.11/12.84 | | | | | | | | | | | | | | | | | | = all_9_55) & op(all_9_55, e4) = e1 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | op(all_9_55, e1) = all_9_24 & op(e4, e1) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | all_9_43 & op(e1, e4) = all_9_55 & $i(all_9_24) % 89.11/12.84 | | | | | | | | | | | | | | | | | | & $i(all_9_43) & $i(all_9_55)) | (all_9_27 = e1 % 89.11/12.84 | | | | | | | | | | | | | | | | | | & ~ (all_9_26 = e3) & ~ (all_9_48 = all_9_56) % 89.11/12.84 | | | | | | | | | | | | | | | | | | & op(all_9_56, e3) = e1 & op(all_9_56, e1) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | all_9_26 & op(e3, e1) = all_9_48 & op(e1, e3) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | all_9_56 & $i(all_9_26) & $i(all_9_48) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_56)) | (all_9_29 = e1 & ~ (all_9_28 = % 89.11/12.84 | | | | | | | | | | | | | | | | | | e2) & ~ (all_9_53 = all_9_57) & op(all_9_57, % 89.11/12.84 | | | | | | | | | | | | | | | | | | e2) = e1 & op(all_9_57, e1) = all_9_28 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_9_53 & op(e1, e2) = all_9_57 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_28) & $i(all_9_53) & $i(all_9_57)) % 89.11/12.84 | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives: % 89.11/12.84 | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (407) all_9_25 = e1 & ~ (all_9_24 = e4) & ~ (all_9_43 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | = all_9_55) & op(all_9_55, e4) = e1 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | op(all_9_55, e1) = all_9_24 & op(e4, e1) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | | all_9_43 & op(e1, e4) = all_9_55 & $i(all_9_24) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | $i(all_9_43) & $i(all_9_55) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (408) ~ (all_9_43 = all_9_55) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (409) op(e1, e4) = all_9_55 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (410) op(e4, e1) = all_9_43 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (70), (80), (408), (409), (410) are % 89.11/12.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48. % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | Case 2: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | (411) (all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | = all_9_56) & op(all_9_56, e3) = e1 & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | | all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | & $i(all_9_48) & $i(all_9_56)) | (all_9_29 = e1 % 89.11/12.84 | | | | | | | | | | | | | | | | | | | & ~ (all_9_28 = e2) & ~ (all_9_53 = all_9_57) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | & op(all_9_57, e2) = e1 & op(all_9_57, e1) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | | all_9_28 & op(e2, e1) = all_9_53 & op(e1, e2) = % 89.11/12.84 | | | | | | | | | | | | | | | | | | | all_9_57 & $i(all_9_28) & $i(all_9_53) & % 89.11/12.84 | | | | | | | | | | | | | | | | | | | $i(all_9_57)) % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (411) gives: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | % 89.11/12.84 | | | | | | | | | | | | | | | | | | | Case 1: % 89.11/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (412) all_9_27 = e1 & ~ (all_9_26 = e3) & ~ (all_9_48 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | = all_9_56) & op(all_9_56, e3) = e1 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | op(all_9_56, e1) = all_9_26 & op(e3, e1) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | all_9_48 & op(e1, e3) = all_9_56 & $i(all_9_26) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | $i(all_9_48) & $i(all_9_56) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (413) ~ (all_9_48 = all_9_56) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (414) op(e1, e3) = all_9_56 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (10), (13), (16), (19), (25), (27), % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (28), (31), (36), (43), (44), (46), (49), (54), % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (55), (58), (68), (70), (74), (75), (80), (101), % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (102), (103), (413), (414) are inconsistent by % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | Case 2: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (415) all_9_29 = e1 & ~ (all_9_28 = e2) & ~ (all_9_53 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | = all_9_57) & op(all_9_57, e2) = e1 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | op(all_9_57, e1) = all_9_28 & op(e2, e1) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | all_9_53 & op(e1, e2) = all_9_57 & $i(all_9_28) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | $i(all_9_53) & $i(all_9_57) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (415) implies: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (416) ~ (all_9_53 = all_9_57) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (417) op(e1, e2) = all_9_57 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (10), (13), (16), (19), (25), (27), % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (31), (36), (43), (44), (46), (49), (54), (55), % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (58), (68), (70), (74), (75), (80), (101), (102), % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | (103), (156), (416), (417) are inconsistent by % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | sub-proof #42. % 89.17/12.84 | | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | End of split % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | End of split % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | End of split % 89.17/12.84 | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | Case 2: % 89.17/12.84 | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | (418) (all_9_31 = e1 & ~ (all_9_30 = e0) & ~ (all_9_59 % 89.17/12.84 | | | | | | | | | | | | | | | | | = all_9_63) & op(all_9_59, e1) = all_9_30 & % 89.17/12.84 | | | | | | | | | | | | | | | | | op(all_9_59, e0) = e1 & op(e1, e0) = all_9_59 & % 89.17/12.84 | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_30) & % 89.17/12.84 | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_63)) | (all_9_33 = e0 & % 89.17/12.84 | | | | | | | | | | | | | | | | | ~ (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & % 89.17/12.84 | | | | | | | | | | | | | | | | | op(all_9_60, e4) = e0 & op(all_9_60, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | all_9_32 & op(e4, e0) = all_9_44 & op(e0, e4) = % 89.17/12.84 | | | | | | | | | | | | | | | | | all_9_60 & $i(all_9_32) & $i(all_9_44) & % 89.17/12.84 | | | | | | | | | | | | | | | | | $i(all_9_60)) | (all_9_35 = e0 & ~ (all_9_34 = % 89.17/12.84 | | | | | | | | | | | | | | | | | e3) & ~ (all_9_49 = all_9_61) & op(all_9_61, % 89.17/12.84 | | | | | | | | | | | | | | | | | e3) = e0 & op(all_9_61, e0) = all_9_34 & % 89.17/12.84 | | | | | | | | | | | | | | | | | op(e3, e0) = all_9_49 & op(e0, e3) = all_9_61 & % 89.17/12.84 | | | | | | | | | | | | | | | | | $i(all_9_34) & $i(all_9_49) & $i(all_9_61)) | % 89.17/12.84 | | | | | | | | | | | | | | | | | (all_9_37 = e0 & ~ (all_9_36 = e2) & ~ (all_9_54 % 89.17/12.84 | | | | | | | | | | | | | | | | | = all_9_62) & op(all_9_62, e2) = e0 & % 89.17/12.84 | | | | | | | | | | | | | | | | | op(all_9_62, e0) = all_9_36 & op(e2, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_36) % 89.17/12.84 | | | | | | | | | | | | | | | | | & $i(all_9_54) & $i(all_9_62)) | (all_9_39 = e0 % 89.17/12.84 | | | | | | | | | | | | | | | | | & ~ (all_9_38 = e1) & ~ (all_9_59 = all_9_63) % 89.17/12.84 | | | | | | | | | | | | | | | | | & op(all_9_63, e1) = e0 & op(all_9_63, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | all_9_38 & op(e1, e0) = all_9_59 & op(e0, e1) = % 89.17/12.84 | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_38) & $i(all_9_59) & % 89.17/12.84 | | | | | | | | | | | | | | | | | $i(all_9_63)) % 89.17/12.84 | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | BETA: splitting (418) gives: % 89.17/12.84 | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | Case 1: % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | (419) (all_9_31 = e1 & ~ (all_9_30 = e0) & ~ (all_9_59 % 89.17/12.84 | | | | | | | | | | | | | | | | | | = all_9_63) & op(all_9_59, e1) = all_9_30 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | op(all_9_59, e0) = e1 & op(e1, e0) = all_9_59 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_30) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_63)) | (all_9_33 = e0 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | ~ (all_9_32 = e4) & ~ (all_9_44 = all_9_60) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | op(all_9_60, e4) = e0 & op(all_9_60, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | all_9_32 & op(e4, e0) = all_9_44 & op(e0, e4) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | all_9_60 & $i(all_9_32) & $i(all_9_44) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_60)) % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | BETA: splitting (419) gives: % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | Case 1: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (420) all_9_31 = e1 & ~ (all_9_30 = e0) & ~ (all_9_59 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | = all_9_63) & op(all_9_59, e1) = all_9_30 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | op(all_9_59, e0) = e1 & op(e1, e0) = all_9_59 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_9_63 & $i(all_9_30) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_63) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (421) ~ (all_9_59 = all_9_63) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (422) op(e0, e1) = all_9_63 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (423) op(e1, e0) = all_9_59 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (70), (143), (421), (422), (423) are % 89.17/12.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #40. % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | Case 2: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (424) all_9_33 = e0 & ~ (all_9_32 = e4) & ~ (all_9_44 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | = all_9_60) & op(all_9_60, e4) = e0 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | op(all_9_60, e0) = all_9_32 & op(e4, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | | all_9_44 & op(e0, e4) = all_9_60 & $i(all_9_32) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | $i(all_9_44) & $i(all_9_60) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | ALPHA: (424) implies: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (425) ~ (all_9_44 = all_9_60) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (426) op(e0, e4) = all_9_60 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (427) op(e4, e0) = all_9_44 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (50), (70), (425), (426), (427) are % 89.17/12.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47. % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | End of split % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | Case 2: % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | (428) (all_9_35 = e0 & ~ (all_9_34 = e3) & ~ (all_9_49 % 89.17/12.84 | | | | | | | | | | | | | | | | | | = all_9_61) & op(all_9_61, e3) = e0 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | op(all_9_61, e0) = all_9_34 & op(e3, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | all_9_49 & op(e0, e3) = all_9_61 & $i(all_9_34) % 89.17/12.84 | | | | | | | | | | | | | | | | | | & $i(all_9_49) & $i(all_9_61)) | (all_9_37 = e0 % 89.17/12.84 | | | | | | | | | | | | | | | | | | & ~ (all_9_36 = e2) & ~ (all_9_54 = all_9_62) % 89.17/12.84 | | | | | | | | | | | | | | | | | | & op(all_9_62, e2) = e0 & op(all_9_62, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | all_9_36 & op(e2, e0) = all_9_54 & op(e0, e2) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | all_9_62 & $i(all_9_36) & $i(all_9_54) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_62)) | (all_9_39 = e0 & ~ (all_9_38 = % 89.17/12.84 | | | | | | | | | | | | | | | | | | e1) & ~ (all_9_59 = all_9_63) & op(all_9_63, % 89.17/12.84 | | | | | | | | | | | | | | | | | | e1) = e0 & op(all_9_63, e0) = all_9_38 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_9_59 & op(e0, e1) = all_9_63 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | $i(all_9_38) & $i(all_9_59) & $i(all_9_63)) % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives: % 89.17/12.84 | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | Case 1: % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | (429) all_9_35 = e0 & ~ (all_9_34 = e3) & ~ (all_9_49 % 89.17/12.84 | | | | | | | | | | | | | | | | | | | = all_9_61) & op(all_9_61, e3) = e0 & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | op(all_9_61, e0) = all_9_34 & op(e3, e0) = % 89.17/12.84 | | | | | | | | | | | | | | | | | | | all_9_49 & op(e0, e3) = all_9_61 & $i(all_9_34) & % 89.17/12.84 | | | | | | | | | | | | | | | | | | | $i(all_9_49) & $i(all_9_61) % 89.17/12.84 | | | | | | | | | | | | | | | | | | | % 89.17/12.84 | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies: % 89.17/12.85 | | | | | | | | | | | | | | | | | | | (430) ~ (all_9_49 = all_9_61) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | (431) op(e0, e3) = all_9_61 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | (432) op(e3, e0) = all_9_49 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (23), (70), (430), (431), (432) are % 89.17/12.85 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44. % 89.17/12.85 | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | (433) (all_9_37 = e0 & ~ (all_9_36 = e2) & ~ (all_9_54 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | = all_9_62) & op(all_9_62, e2) = e0 & % 89.17/12.85 | | | | | | | | | | | | | | | | | | | op(all_9_62, e0) = all_9_36 & op(e2, e0) = % 89.17/12.85 | | | | | | | | | | | | | | | | | | | all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_36) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | & $i(all_9_54) & $i(all_9_62)) | (all_9_39 = e0 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | & ~ (all_9_38 = e1) & ~ (all_9_59 = all_9_63) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | & op(all_9_63, e1) = e0 & op(all_9_63, e0) = % 89.17/12.85 | | | | | | | | | | | | | | | | | | | all_9_38 & op(e1, e0) = all_9_59 & op(e0, e1) = % 89.17/12.85 | | | | | | | | | | | | | | | | | | | all_9_63 & $i(all_9_38) & $i(all_9_59) & % 89.17/12.85 | | | | | | | | | | | | | | | | | | | $i(all_9_63)) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives: % 89.17/12.85 | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | Case 1: % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (434) all_9_37 = e0 & ~ (all_9_36 = e2) & ~ (all_9_54 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | = all_9_62) & op(all_9_62, e2) = e0 & % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | op(all_9_62, e0) = all_9_36 & op(e2, e0) = % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | all_9_54 & op(e0, e2) = all_9_62 & $i(all_9_36) & % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | $i(all_9_54) & $i(all_9_62) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies: % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (435) ~ (all_9_54 = all_9_62) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (436) op(e0, e2) = all_9_62 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (437) op(e2, e0) = all_9_54 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (70), (153), (435), (436), (437) are % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41. % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (438) all_9_39 = e0 & ~ (all_9_38 = e1) & ~ (all_9_59 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | = all_9_63) & op(all_9_63, e1) = e0 & % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | op(all_9_63, e0) = all_9_38 & op(e1, e0) = % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | all_9_59 & op(e0, e1) = all_9_63 & $i(all_9_38) & % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | $i(all_9_59) & $i(all_9_63) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | ALPHA: (438) implies: % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (439) ~ (all_9_59 = all_9_63) % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (440) op(e0, e1) = all_9_63 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | (441) op(e1, e0) = all_9_59 % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (70), (143), (439), (440), (441) are % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #40. % 89.17/12.85 | | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | (442) all_8_7 = e1 & op(e2, e3) = e1 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | ALPHA: (442) implies: % 89.17/12.85 | | | | | | | | | | | | | | | (443) all_8_7 = e1 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | COMBINE_EQS: (62), (443) imply: % 89.17/12.85 | | | | | | | | | | | | | | | (444) e1 = e0 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | REDUCE: (40), (444) imply: % 89.17/12.85 | | | | | | | | | | | | | | | (445) $false % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | CLOSE: (445) is inconsistent. % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | (446) (all_8_8 = e1 & op(e2, e2) = e1) | (all_8_11 = e1 % 89.17/12.85 | | | | | | | | | | | | | | & op(e2, e1) = e1) | (all_8_18 = e1 & op(e2, e0) % 89.17/12.85 | | | | | | | | | | | | | | = e1) % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | BETA: splitting (446) gives: % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | Case 1: % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | (447) all_8_8 = e1 & op(e2, e2) = e1 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | ALPHA: (447) implies: % 89.17/12.85 | | | | | | | | | | | | | | | (448) all_8_8 = e1 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | COMBINE_EQS: (35), (448) imply: % 89.17/12.85 | | | | | | | | | | | | | | | (449) e3 = e1 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | SIMP: (449) implies: % 89.17/12.85 | | | | | | | | | | | | | | | (450) e3 = e1 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | COMBINE_EQS: (17), (450) imply: % 89.17/12.85 | | | | | | | | | | | | | | | (451) all_8_17 = e1 % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (26), (31), (48), (71), (72), (76), % 89.17/12.85 | | | | | | | | | | | | | | | (99), (101), (102), (117), (119), (451) are % 89.17/12.85 | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | (452) (all_8_11 = e1 & op(e2, e1) = e1) | (all_8_18 = e1 % 89.17/12.85 | | | | | | | | | | | | | | | & op(e2, e0) = e1) % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | BETA: splitting (452) gives: % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | Case 1: % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | (453) all_8_11 = e1 & op(e2, e1) = e1 % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | REF_CLOSE: (24), (69), (73), (453) are inconsistent by % 89.17/12.85 | | | | | | | | | | | | | | | | sub-proof #70. % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | (454) all_8_18 = e1 & op(e2, e0) = e1 % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | ALPHA: (454) implies: % 89.17/12.85 | | | | | | | | | | | | | | | | (455) all_8_18 = e1 % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | | REF_CLOSE: (119), (152), (455) are inconsistent by sub-proof % 89.17/12.85 | | | | | | | | | | | | | | | | #39. % 89.17/12.85 | | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | (456) (all_8_19 = e2 & op(e1, e0) = e2) | (all_8_24 = e2 % 89.17/12.85 | | | | | | | | | | | | | & op(e0, e0) = e2) % 89.17/12.85 | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | BETA: splitting (456) gives: % 89.17/12.85 | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | Case 1: % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | (457) all_8_19 = e2 & op(e1, e0) = e2 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | ALPHA: (457) implies: % 89.17/12.85 | | | | | | | | | | | | | | (458) all_8_19 = e2 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | COMBINE_EQS: (142), (458) imply: % 89.17/12.85 | | | | | | | | | | | | | | (459) e2 = e1 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | SIMP: (459) implies: % 89.17/12.85 | | | | | | | | | | | | | | (460) e2 = e1 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | REDUCE: (119), (460) imply: % 89.17/12.85 | | | | | | | | | | | | | | (461) $false % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | CLOSE: (461) is inconsistent. % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | (462) all_8_24 = e2 & op(e0, e0) = e2 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | ALPHA: (462) implies: % 89.17/12.85 | | | | | | | | | | | | | | (463) all_8_24 = e2 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | COMBINE_EQS: (34), (463) imply: % 89.17/12.85 | | | | | | | | | | | | | | (464) e2 = e0 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | SIMP: (464) implies: % 89.17/12.85 | | | | | | | | | | | | | | (465) e2 = e0 % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | REDUCE: (102), (465) imply: % 89.17/12.85 | | | | | | | | | | | | | | (466) $false % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | | CLOSE: (466) is inconsistent. % 89.17/12.85 | | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | | % 89.17/12.85 | | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | | % 89.17/12.85 | | | | | | | | | End of split % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | End of split % 89.17/12.85 | | | | | | | | % 89.17/12.85 | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | % 89.17/12.85 | | | | | | | | (467) all_6_1 = e4 | all_6_1 = e0 % 89.17/12.85 | | | | | | | | % 89.17/12.85 | | | | | | | | BETA: splitting (467) gives: % 89.17/12.85 | | | | | | | | % 89.17/12.85 | | | | | | | | Case 1: % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | (468) all_6_1 = e4 % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | COMBINE_EQS: (10), (468) imply: % 89.17/12.85 | | | | | | | | | (469) all_4_5 = e4 % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | REDUCE: (55), (469) imply: % 89.17/12.85 | | | | | | | | | (470) $false % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | CLOSE: (470) is inconsistent. % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | Case 2: % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | (471) all_6_1 = e0 % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | COMBINE_EQS: (10), (471) imply: % 89.17/12.85 | | | | | | | | | (472) all_4_5 = e0 % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | REDUCE: (8), (472) imply: % 89.17/12.85 | | | | | | | | | (473) $false % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | | CLOSE: (473) is inconsistent. % 89.17/12.85 | | | | | | | | | % 89.17/12.85 | | | | | | | | End of split % 89.17/12.85 | | | | | | | | % 89.17/12.85 | | | | | | | End of split % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | End of split % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | End of split % 89.17/12.85 | | | | | % 89.17/12.85 | | | | Case 2: % 89.17/12.85 | | | | | % 89.17/12.85 | | | | | (474) all_6_16 = e4 | all_6_16 = e1 | all_6_16 = e0 % 89.17/12.85 | | | | | % 89.17/12.85 | | | | | BETA: splitting (474) gives: % 89.17/12.85 | | | | | % 89.17/12.85 | | | | | Case 1: % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | (475) all_6_16 = e1 % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | COMBINE_EQS: (53), (475) imply: % 89.17/12.85 | | | | | | (476) all_4_8 = e1 % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | SIMP: (476) implies: % 89.17/12.85 | | | | | | (477) all_4_8 = e1 % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | REDUCE: (87), (477) imply: % 89.17/12.85 | | | | | | (478) $false % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | CLOSE: (478) is inconsistent. % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | Case 2: % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | (479) all_6_16 = e4 | all_6_16 = e0 % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | BETA: splitting (479) gives: % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | | Case 1: % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | (480) all_6_16 = e4 % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | COMBINE_EQS: (53), (480) imply: % 89.17/12.85 | | | | | | | (481) all_4_8 = e4 % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | SIMP: (481) implies: % 89.17/12.85 | | | | | | | (482) all_4_8 = e4 % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | REDUCE: (41), (482) imply: % 89.17/12.85 | | | | | | | (483) $false % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | CLOSE: (483) is inconsistent. % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | Case 2: % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | (484) all_6_16 = e0 % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | COMBINE_EQS: (53), (484) imply: % 89.17/12.85 | | | | | | | (485) all_4_8 = e0 % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | SIMP: (485) implies: % 89.17/12.85 | | | | | | | (486) all_4_8 = e0 % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | REDUCE: (77), (486) imply: % 89.17/12.85 | | | | | | | (487) $false % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | | CLOSE: (487) is inconsistent. % 89.17/12.85 | | | | | | | % 89.17/12.85 | | | | | | End of split % 89.17/12.85 | | | | | | % 89.17/12.85 | | | | | End of split % 89.17/12.85 | | | | | % 89.17/12.85 | | | | End of split % 89.17/12.85 | | | | % 89.17/12.85 | | | End of split % 89.17/12.85 | | | % 89.17/12.85 | | End of split % 89.17/12.85 | | % 89.17/12.85 | Case 2: % 89.17/12.85 | | % 89.17/12.85 | | (488) op(e1, e1) = e1 % 89.17/12.85 | | % 89.17/12.85 | | REF_CLOSE: (15), (40), (488) are inconsistent by sub-proof #69. % 89.17/12.85 | | % 89.17/12.85 | End of split % 89.17/12.85 | % 89.17/12.85 End of proof % 89.17/12.85 % 89.17/12.85 Sub-proof #39 shows that the following formulas are inconsistent: % 89.17/12.85 ---------------------------------------------------------------- % 89.17/12.85 (1) all_8_18 = e2 % 89.17/12.85 (2) all_8_18 = e1 % 89.17/12.85 (3) ~ (e2 = e1) % 89.17/12.85 % 89.17/12.85 Begin of proof % 89.17/12.85 | % 89.17/12.85 | COMBINE_EQS: (1), (2) imply: % 89.17/12.85 | (4) e2 = e1 % 89.17/12.85 | % 89.17/12.85 | SIMP: (4) implies: % 89.17/12.85 | (5) e2 = e1 % 89.17/12.85 | % 89.17/12.85 | REDUCE: (3), (5) imply: % 89.17/12.85 | (6) $false % 89.17/12.85 | % 89.17/12.85 | CLOSE: (6) is inconsistent. % 89.17/12.85 | % 89.17/12.85 End of proof % 89.17/12.85 % 89.17/12.85 Sub-proof #40 shows that the following formulas are inconsistent: % 89.17/12.85 ---------------------------------------------------------------- % 89.17/12.85 (1) op(e1, e0) = e1 % 89.17/12.85 (2) op(e1, e0) = all_9_59 % 89.17/12.85 (3) op(e0, e1) = all_9_63 % 89.17/12.85 (4) op(e0, e1) = e1 % 89.17/12.85 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.85 (6) ~ (all_9_59 = all_9_63) % 89.17/12.85 % 89.17/12.85 Begin of proof % 89.17/12.85 | % 89.17/12.85 | GROUND_INST: instantiating (5) with e1, all_9_63, e1, e0, simplifying with % 89.17/12.85 | (3), (4) gives: % 89.17/12.85 | (7) all_9_63 = e1 % 89.17/12.85 | % 89.17/12.85 | GROUND_INST: instantiating (5) with e1, all_9_59, e0, e1, simplifying with % 89.17/12.85 | (1), (2) gives: % 89.17/12.85 | (8) all_9_59 = e1 % 89.17/12.85 | % 89.17/12.85 | REDUCE: (6), (7), (8) imply: % 89.17/12.85 | (9) $false % 89.17/12.85 | % 89.17/12.85 | CLOSE: (9) is inconsistent. % 89.17/12.85 | % 89.17/12.85 End of proof % 89.17/12.85 % 89.17/12.85 Sub-proof #41 shows that the following formulas are inconsistent: % 89.17/12.85 ---------------------------------------------------------------- % 89.17/12.85 (1) op(e0, e2) = e2 % 89.17/12.85 (2) ~ (all_9_54 = all_9_62) % 89.17/12.85 (3) op(e0, e2) = all_9_62 % 89.17/12.85 (4) op(e2, e0) = all_9_54 % 89.17/12.85 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.85 (6) op(e2, e0) = e2 % 89.17/12.85 % 89.17/12.85 Begin of proof % 89.17/12.85 | % 89.17/12.85 | GROUND_INST: instantiating (5) with e2, all_9_62, e2, e0, simplifying with % 89.17/12.85 | (1), (3) gives: % 89.17/12.85 | (7) all_9_62 = e2 % 89.17/12.85 | % 89.17/12.85 | GROUND_INST: instantiating (5) with e2, all_9_54, e0, e2, simplifying with % 89.17/12.85 | (4), (6) gives: % 89.17/12.85 | (8) all_9_54 = e2 % 89.17/12.85 | % 89.17/12.85 | REDUCE: (2), (7), (8) imply: % 89.17/12.85 | (9) $false % 89.17/12.85 | % 89.17/12.85 | CLOSE: (9) is inconsistent. % 89.17/12.85 | % 89.17/12.85 End of proof % 89.17/12.85 % 89.17/12.85 Sub-proof #42 shows that the following formulas are inconsistent: % 89.17/12.85 ---------------------------------------------------------------- % 89.17/12.85 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.17/12.85 (2) op(e1, e2) = e4 % 89.17/12.85 (3) op(e4, unit) = e4 % 89.17/12.85 (4) all_6_1 = all_4_5 % 89.17/12.85 (5) op(e1, e4) = e3 % 89.17/12.85 (6) ~ (unit = e1) % 89.17/12.85 (7) op(e1, e1) = e0 % 89.17/12.85 (8) ~ (e2 = e0) % 89.17/12.85 (9) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.17/12.85 (10) op(e1, e2) = all_9_57 % 89.17/12.85 (11) op(e1, unit) = e1 % 89.17/12.85 (12) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 89.17/12.85 (13) ~ (e4 = e3) % 89.17/12.85 (14) op(e1, e3) = e2 % 89.17/12.85 (15) op(e2, e2) = e3 % 89.17/12.85 (16) ~ (all_9_53 = all_9_57) % 89.17/12.85 (17) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.17/12.86 (18) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 89.17/12.86 (19) ~ (all_4_15 = e1) % 89.17/12.86 (20) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 89.17/12.86 (21) all_6_11 = e0 % 89.17/12.86 (22) ~ (all_4_5 = e4) % 89.17/12.86 (23) op(e2, e4) = e1 % 89.17/12.86 (24) ~ (all_4_13 = e1) % 89.17/12.86 (25) op(unit, e1) = e1 % 89.17/12.86 (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.86 (27) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 & % 89.17/12.86 op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 89.17/12.86 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 89.17/12.86 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit = % 89.17/12.86 e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = e4) % 89.17/12.86 | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 89.17/12.86 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = % 89.17/12.86 all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.86 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) = % 89.17/12.86 all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.86 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) = % 89.17/12.86 all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.86 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = % 89.17/12.86 all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.86 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) = % 89.17/12.86 all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.86 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) = % 89.17/12.86 all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.86 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = % 89.17/12.86 all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.86 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) = % 89.17/12.86 all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.86 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) = % 89.17/12.86 all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.86 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = % 89.17/12.86 all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( % 89.17/12.86 ~ (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.86 (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 89.17/12.86 op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 89.17/12.86 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 89.17/12.86 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit = % 89.17/12.86 e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = e3) % 89.17/12.86 | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 89.17/12.86 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = % 89.17/12.86 all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.86 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) = % 89.17/12.86 all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.86 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) = % 89.17/12.86 all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.86 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = % 89.17/12.86 all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.86 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) = % 89.17/12.86 all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.86 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) = % 89.17/12.86 all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.86 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = % 89.17/12.86 all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.86 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) = % 89.17/12.86 all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.86 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) = % 89.17/12.86 all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.86 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = % 89.17/12.86 all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( % 89.17/12.86 ~ (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.86 (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = all_9_52 & % 89.17/12.86 op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & $i(all_9_42) & % 89.17/12.86 $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & $i(all_9_62) & ( ~ % 89.17/12.86 (all_9_42 = e2) | ~ (unit = e2)) & ( ~ (all_9_47 = e2) | ~ (unit = % 89.17/12.86 e2)) & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ (all_9_57 = e2) % 89.17/12.86 | ~ (unit = e2)) & ( ~ (all_9_62 = e2) | ~ (unit = e2)) & % 89.17/12.86 ((all_9_42 = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = % 89.17/12.86 all_9_40 & $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.86 ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 89.17/12.86 all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.86 ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & op(e3, e4) = % 89.17/12.86 all_9_45 & $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_46 = e2) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.86 ((all_9_47 = e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 89.17/12.86 all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.86 ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) = % 89.17/12.86 all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 89.17/12.86 ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 89.17/12.86 all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_54 = e2) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.86 ((all_9_57 = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = % 89.17/12.86 all_9_55 & $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.86 ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 89.17/12.86 all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.86 ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & op(e0, e4) = % 89.17/12.86 all_9_60 & $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_61 = e2) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.86 ((all_9_62 = e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 89.17/12.86 all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( % 89.17/12.86 ~ (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.86 (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 89.17/12.86 op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & $i(all_9_43) & % 89.17/12.86 $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & $i(all_9_63) & ( ~ % 89.17/12.86 (all_9_43 = e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) | ~ (unit = % 89.17/12.86 e1)) & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ (all_9_58 = e1) % 89.17/12.86 | ~ (unit = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = e1)) & % 89.17/12.86 ((all_9_43 = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = % 89.17/12.86 all_9_40 & $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.86 ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 89.17/12.86 all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.86 ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) = % 89.17/12.86 all_9_45 & $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_46 = e1) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.86 ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 89.17/12.86 all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.86 ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) = % 89.17/12.86 all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 89.17/12.86 ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 89.17/12.86 all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_54 = e1) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.86 ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = % 89.17/12.86 all_9_55 & $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.86 ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 89.17/12.86 all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.86 ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) = % 89.17/12.86 all_9_60 & $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_61 = e1) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.86 ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 89.17/12.86 all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( % 89.17/12.86 ~ (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.86 (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 89.17/12.86 op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & $i(all_9_44) & % 89.17/12.86 $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 89.17/12.86 (all_9_44 = e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) | ~ (unit = % 89.17/12.86 e0)) & ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ (all_9_59 = e0) % 89.17/12.86 | ~ (unit = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = e0)) & % 89.17/12.86 ((all_9_44 = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = % 89.17/12.86 all_9_40 & $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.86 ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 89.17/12.86 all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 89.17/12.86 ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) = % 89.17/12.86 all_9_45 & $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_46 = e0) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.86 ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 89.17/12.86 all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.86 ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) = % 89.17/12.86 all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 89.17/12.86 ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 89.17/12.86 all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_53 = e0) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.86 ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = % 89.17/12.86 all_9_55 & $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.86 ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 89.17/12.86 all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 89.17/12.86 ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) = % 89.17/12.86 all_9_60 & $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_61 = e0) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.86 ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 89.17/12.86 all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( % 89.17/12.86 ~ (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 89.17/12.86 (28) all_6_3 = all_4_15 % 89.17/12.86 (29) ~ (e3 = e2) % 89.17/12.86 % 89.17/12.86 Begin of proof % 89.17/12.86 | % 89.17/12.86 | BETA: splitting (27) gives: % 89.17/12.86 | % 89.17/12.86 | Case 1: % 89.17/12.86 | | % 89.17/12.87 | | (30) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = % 89.17/12.87 | | all_9_50 & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & % 89.17/12.87 | | $i(all_9_40) & $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 89.17/12.87 | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = e4)) & ( ~ % 89.17/12.87 | | (all_9_45 = e4) | ~ (unit = e4)) & ( ~ (all_9_50 = e4) | ~ % 89.17/12.87 | | (unit = e4)) & ( ~ (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 89.17/12.87 | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 = e3 & ~ (unit = % 89.17/12.87 | | e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = all_9_41 & % 89.17/12.87 | | $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.87 | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.87 | | ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, % 89.17/12.87 | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit % 89.17/12.87 | | = e4)) | ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & % 89.17/12.87 | | $i(all_9_44))) & ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 89.17/12.87 | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.87 | | ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ (all_9_47 = e4) & op(e3, % 89.17/12.87 | | e2) = all_9_47 & $i(all_9_47))) & ((all_9_45 = e1 & ~ (unit % 89.17/12.87 | | = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = all_9_48 & % 89.17/12.87 | | $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.87 | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.87 | | ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, % 89.17/12.87 | | e3) = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit % 89.17/12.87 | | = e4)) | ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & % 89.17/12.87 | | $i(all_9_52))) & ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 89.17/12.87 | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.87 | | ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ (all_9_54 = e4) & op(e2, % 89.17/12.87 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_55 = e3 & ~ (unit % 89.17/12.87 | | = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = all_9_56 & % 89.17/12.87 | | $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.87 | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.87 | | ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, % 89.17/12.87 | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit % 89.17/12.87 | | = e4)) | ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & % 89.17/12.87 | | $i(all_9_59))) & ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 89.17/12.87 | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.87 | | ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ (all_9_62 = e4) & op(e0, % 89.17/12.87 | | e2) = all_9_62 & $i(all_9_62))) & ((all_9_60 = e1 & ~ (unit % 89.17/12.87 | | = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = all_9_63 & % 89.17/12.87 | | $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.87 | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.87 | | (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = % 89.17/12.87 | | all_9_51 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 89.17/12.87 | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & % 89.17/12.87 | | $i(all_9_61) & ( ~ (all_9_41 = e3) | ~ (unit = e3)) & ( ~ % 89.17/12.87 | | (all_9_46 = e3) | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 89.17/12.87 | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit = e3)) & ( ~ % 89.17/12.87 | | (all_9_61 = e3) | ~ (unit = e3)) & ((all_9_41 = e4 & ~ (unit = % 89.17/12.87 | | e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 89.17/12.87 | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.87 | | (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.87 | | ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, % 89.17/12.87 | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit % 89.17/12.87 | | = e3)) | ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 89.17/12.87 | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ % 89.17/12.87 | | (all_9_45 = e3) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.87 | | ((all_9_46 = e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & op(e3, % 89.17/12.87 | | e2) = all_9_47 & $i(all_9_47))) & ((all_9_46 = e1 & ~ (unit % 89.17/12.87 | | = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 89.17/12.87 | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.87 | | (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.87 | | ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, % 89.17/12.87 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit % 89.17/12.87 | | = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 89.17/12.87 | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ % 89.17/12.87 | | (all_9_53 = e3) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.87 | | ((all_9_51 = e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & op(e2, % 89.17/12.87 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_56 = e4 & ~ (unit % 89.17/12.87 | | = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 89.17/12.87 | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.87 | | (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.87 | | ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, % 89.17/12.87 | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit % 89.17/12.87 | | = e3)) | ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 89.17/12.87 | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ % 89.17/12.87 | | (all_9_60 = e3) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.87 | | ((all_9_61 = e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & op(e0, % 89.17/12.87 | | e2) = all_9_62 & $i(all_9_62))) & ((all_9_61 = e1 & ~ (unit % 89.17/12.87 | | = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 89.17/12.87 | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.87 | | (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) % 89.17/12.87 | | % 89.17/12.87 | | REF_CLOSE: (2), (5), (8), (15), (20), (21), (26), (29), (30) are % 89.17/12.87 | | inconsistent by sub-proof #57. % 89.17/12.87 | | % 89.17/12.87 | Case 2: % 89.17/12.87 | | % 89.17/12.87 | | (31) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = % 89.17/12.87 | | all_9_52 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & % 89.17/12.87 | | $i(all_9_42) & $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 89.17/12.87 | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.87 | | (all_9_47 = e2) | ~ (unit = e2)) & ( ~ (all_9_52 = e2) | ~ % 89.17/12.87 | | (unit = e2)) & ( ~ (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.87 | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = e4 & ~ (unit = % 89.17/12.87 | | e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = all_9_40 & % 89.17/12.87 | | $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.87 | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.87 | | ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, % 89.17/12.87 | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit % 89.17/12.87 | | = e2)) | ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & % 89.17/12.87 | | $i(all_9_44))) & ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.87 | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.87 | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 = e2) & op(e3, % 89.17/12.87 | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit % 89.17/12.87 | | = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = all_9_48 & % 89.17/12.87 | | $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.87 | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.87 | | ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, % 89.17/12.87 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit % 89.17/12.87 | | = e2)) | ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & % 89.17/12.87 | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 89.17/12.87 | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.87 | | ((all_9_52 = e0 & ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 89.17/12.87 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 = e4 & ~ (unit % 89.17/12.87 | | = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = all_9_55 & % 89.17/12.87 | | $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.87 | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.87 | | ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, % 89.17/12.87 | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit % 89.17/12.87 | | = e2)) | ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & % 89.17/12.87 | | $i(all_9_59))) & ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.87 | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.87 | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 = e2) & op(e0, % 89.17/12.87 | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit % 89.17/12.87 | | = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = all_9_63 & % 89.17/12.87 | | $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.87 | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.87 | | (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 89.17/12.87 | | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 89.17/12.87 | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 89.17/12.87 | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.87 | | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 89.17/12.87 | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.87 | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit = % 89.17/12.87 | | e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 89.17/12.87 | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.87 | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.87 | | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 89.17/12.87 | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit % 89.17/12.87 | | = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 89.17/12.87 | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.87 | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.87 | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 89.17/12.87 | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit % 89.17/12.87 | | = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 89.17/12.87 | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.87 | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.87 | | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 89.17/12.87 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit % 89.17/12.87 | | = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 89.17/12.87 | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 89.17/12.87 | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.87 | | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 89.17/12.87 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ (unit % 89.17/12.87 | | = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 89.17/12.87 | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.87 | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.87 | | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 89.17/12.87 | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit % 89.17/12.87 | | = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 89.17/12.87 | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.87 | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.87 | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 89.17/12.87 | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit % 89.17/12.87 | | = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 89.17/12.87 | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.87 | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.87 | | (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 89.17/12.87 | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 89.17/12.87 | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 89.17/12.87 | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.87 | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 89.17/12.87 | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.87 | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit = % 89.17/12.87 | | e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 89.17/12.87 | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.87 | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.87 | | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 89.17/12.87 | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit % 89.17/12.87 | | = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 89.17/12.87 | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.87 | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.87 | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 89.17/12.87 | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit % 89.17/12.87 | | = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 89.17/12.87 | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.87 | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.87 | | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 89.17/12.87 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit % 89.17/12.87 | | = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 89.17/12.87 | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 89.17/12.87 | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.87 | | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 89.17/12.87 | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ (unit % 89.17/12.87 | | = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 89.17/12.87 | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.87 | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.87 | | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 89.17/12.87 | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit % 89.17/12.87 | | = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 89.17/12.87 | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.87 | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.87 | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 89.17/12.87 | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit % 89.17/12.87 | | = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 89.17/12.87 | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.87 | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 89.17/12.87 | | % 89.17/12.87 | | BETA: splitting (31) gives: % 89.17/12.87 | | % 89.17/12.87 | | Case 1: % 89.17/12.87 | | | % 89.17/12.88 | | | (32) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = % 89.17/12.88 | | | all_9_52 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & % 89.17/12.88 | | | $i(all_9_42) & $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 89.17/12.88 | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.88 | | | (all_9_47 = e2) | ~ (unit = e2)) & ( ~ (all_9_52 = e2) | ~ % 89.17/12.88 | | | (unit = e2)) & ( ~ (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.88 | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = e4 & ~ (unit = % 89.17/12.88 | | | e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = all_9_40 & % 89.17/12.88 | | | $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.88 | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.88 | | | ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, % 89.17/12.88 | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit % 89.17/12.88 | | | = e2)) | ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & % 89.17/12.88 | | | $i(all_9_44))) & ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.88 | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.88 | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 = e2) & op(e3, % 89.17/12.88 | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit % 89.17/12.88 | | | = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = all_9_48 & % 89.17/12.88 | | | $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.88 | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.88 | | | ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, % 89.17/12.88 | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit % 89.17/12.88 | | | = e2)) | ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & % 89.17/12.88 | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 89.17/12.88 | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.88 | | | ((all_9_52 = e0 & ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 89.17/12.88 | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 = e4 & ~ (unit % 89.17/12.88 | | | = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = all_9_55 & % 89.17/12.88 | | | $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.88 | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.88 | | | ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, % 89.17/12.88 | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit % 89.17/12.88 | | | = e2)) | ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & % 89.17/12.88 | | | $i(all_9_59))) & ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.88 | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.88 | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 = e2) & op(e0, % 89.17/12.88 | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit % 89.17/12.88 | | | = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = all_9_63 & % 89.17/12.88 | | | $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.88 | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.88 | | | % 89.17/12.88 | | | REF_CLOSE: (2), (13), (14), (26), (32) are inconsistent by sub-proof #54. % 89.17/12.88 | | | % 89.17/12.88 | | Case 2: % 89.17/12.88 | | | % 89.17/12.88 | | | (33) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 89.17/12.88 | | | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 89.17/12.88 | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 89.17/12.88 | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.88 | | | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 89.17/12.88 | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.88 | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit % 89.17/12.88 | | | = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 89.17/12.88 | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.88 | | | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 89.17/12.88 | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ % 89.17/12.88 | | | (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 89.17/12.88 | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.88 | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 89.17/12.88 | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ % 89.17/12.88 | | | (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 89.17/12.88 | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.88 | | | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 89.17/12.88 | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ % 89.17/12.88 | | | (unit = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 89.17/12.88 | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.88 | | | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 89.17/12.88 | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ % 89.17/12.88 | | | (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 89.17/12.88 | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.88 | | | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 89.17/12.88 | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ % 89.17/12.88 | | | (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 89.17/12.88 | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.88 | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 89.17/12.88 | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ % 89.17/12.88 | | | (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 89.17/12.88 | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.88 | | | (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 89.17/12.88 | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 89.17/12.88 | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 89.17/12.88 | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.88 | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 89.17/12.88 | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.88 | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit % 89.17/12.88 | | | = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 89.17/12.88 | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.88 | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.88 | | | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 89.17/12.88 | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ % 89.17/12.88 | | | (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 89.17/12.88 | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.88 | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.88 | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 89.17/12.88 | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ % 89.17/12.88 | | | (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 89.17/12.88 | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.88 | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.88 | | | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 89.17/12.88 | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ % 89.17/12.88 | | | (unit = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 89.17/12.88 | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 89.17/12.88 | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.88 | | | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 89.17/12.88 | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ % 89.17/12.88 | | | (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 89.17/12.88 | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.88 | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.88 | | | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 89.17/12.88 | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ % 89.17/12.88 | | | (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 89.17/12.88 | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.88 | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.88 | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 89.17/12.88 | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ % 89.17/12.88 | | | (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 89.17/12.88 | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.88 | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 89.17/12.88 | | | % 89.17/12.88 | | | BETA: splitting (33) gives: % 89.17/12.88 | | | % 89.17/12.88 | | | Case 1: % 89.17/12.88 | | | | % 89.17/12.88 | | | | (34) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 89.17/12.88 | | | | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 89.17/12.88 | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 89.17/12.88 | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.88 | | | | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 89.17/12.88 | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.88 | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit % 89.17/12.88 | | | | = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 89.17/12.88 | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.88 | | | | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 89.17/12.88 | | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ % 89.17/12.88 | | | | (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 89.17/12.88 | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.88 | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 89.17/12.88 | | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ % 89.17/12.88 | | | | (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 89.17/12.88 | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.88 | | | | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 89.17/12.88 | | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ % 89.17/12.88 | | | | (unit = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 89.17/12.88 | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.88 | | | | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 89.17/12.88 | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ % 89.17/12.88 | | | | (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 89.17/12.88 | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.88 | | | | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 89.17/12.88 | | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ % 89.17/12.88 | | | | (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 89.17/12.88 | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.88 | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 89.17/12.88 | | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ % 89.17/12.88 | | | | (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 89.17/12.88 | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.88 | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.88 | | | | % 89.17/12.88 | | | | ALPHA: (34) implies: % 89.17/12.88 | | | | (35) (all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 89.17/12.88 | | | | e4) = all_9_50 & $i(all_9_50)) % 89.17/12.88 | | | | % 89.17/12.88 | | | | BETA: splitting (35) gives: % 89.17/12.88 | | | | % 89.17/12.88 | | | | Case 1: % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | (36) all_9_53 = e4 & ~ (unit = e1) % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | ALPHA: (36) implies: % 89.17/12.88 | | | | | (37) all_9_53 = e4 % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | REDUCE: (16), (37) imply: % 89.17/12.88 | | | | | (38) ~ (all_9_57 = e4) % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | SIMP: (38) implies: % 89.17/12.88 | | | | | (39) ~ (all_9_57 = e4) % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | GROUND_INST: instantiating (26) with e4, all_9_57, e2, e1, simplifying % 89.17/12.88 | | | | | with (2), (10) gives: % 89.17/12.88 | | | | | (40) all_9_57 = e4 % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | REDUCE: (39), (40) imply: % 89.17/12.88 | | | | | (41) $false % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | CLOSE: (41) is inconsistent. % 89.17/12.88 | | | | | % 89.17/12.88 | | | | Case 2: % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | (42) ~ (all_9_50 = e1) & op(e2, e4) = all_9_50 & $i(all_9_50) % 89.17/12.88 | | | | | % 89.17/12.88 | | | | | ALPHA: (42) implies: % 89.17/12.88 | | | | | (43) ~ (all_9_50 = e1) % 89.17/12.88 | | | | | (44) op(e2, e4) = all_9_50 % 89.17/12.88 | | | | | % 89.17/12.89 | | | | | GROUND_INST: instantiating (26) with e1, all_9_50, e4, e2, simplifying % 89.17/12.89 | | | | | with (23), (44) gives: % 89.17/12.89 | | | | | (45) all_9_50 = e1 % 89.17/12.89 | | | | | % 89.17/12.89 | | | | | REDUCE: (43), (45) imply: % 89.17/12.89 | | | | | (46) $false % 89.17/12.89 | | | | | % 89.17/12.89 | | | | | CLOSE: (46) is inconsistent. % 89.17/12.89 | | | | | % 89.17/12.89 | | | | End of split % 89.17/12.89 | | | | % 89.17/12.89 | | | Case 2: % 89.17/12.89 | | | | % 89.17/12.89 | | | | (47) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 89.17/12.89 | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 89.17/12.89 | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 89.17/12.89 | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.89 | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 89.17/12.89 | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.89 | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit % 89.17/12.89 | | | | = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 89.17/12.89 | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.89 | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.89 | | | | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 89.17/12.89 | | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ % 89.17/12.89 | | | | (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 89.17/12.89 | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.89 | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.89 | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 89.17/12.89 | | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ % 89.17/12.89 | | | | (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 89.17/12.89 | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.89 | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.89 | | | | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 89.17/12.89 | | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ % 89.17/12.89 | | | | (unit = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 89.17/12.89 | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 89.17/12.89 | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.89 | | | | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 89.17/12.89 | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ % 89.17/12.89 | | | | (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 89.17/12.89 | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.89 | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.89 | | | | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 89.17/12.89 | | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ % 89.17/12.89 | | | | (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 89.17/12.89 | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.89 | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.89 | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 89.17/12.89 | | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ % 89.17/12.89 | | | | (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 89.17/12.89 | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.89 | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63))) % 89.17/12.89 | | | | % 89.17/12.89 | | | | ALPHA: (47) implies: % 89.17/12.89 | | | | (48) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 89.17/12.89 | | | | e1) = all_9_58 & $i(all_9_58)) % 89.17/12.89 | | | | % 89.17/12.89 | | | | REF_CLOSE: (1), (3), (4), (6), (7), (9), (11), (12), (17), (18), (19), % 89.17/12.89 | | | | (22), (24), (25), (26), (28), (48) are inconsistent by % 89.17/12.89 | | | | sub-proof #51. % 89.17/12.89 | | | | % 89.17/12.89 | | | End of split % 89.17/12.89 | | | % 89.17/12.89 | | End of split % 89.17/12.89 | | % 89.17/12.89 | End of split % 89.17/12.89 | % 89.17/12.89 End of proof % 89.17/12.89 % 89.17/12.89 Sub-proof #43 shows that the following formulas are inconsistent: % 89.17/12.89 ---------------------------------------------------------------- % 89.17/12.89 (1) all_9_58 = e3 & ~ (unit = e1) % 89.17/12.89 (2) all_9_58 = e0 % 89.17/12.89 (3) ~ (e3 = e0) % 89.17/12.89 % 89.17/12.89 Begin of proof % 89.17/12.89 | % 89.17/12.89 | ALPHA: (1) implies: % 89.17/12.89 | (4) all_9_58 = e3 % 89.17/12.89 | % 89.17/12.89 | COMBINE_EQS: (2), (4) imply: % 89.17/12.89 | (5) e3 = e0 % 89.17/12.89 | % 89.17/12.89 | SIMP: (5) implies: % 89.17/12.89 | (6) e3 = e0 % 89.17/12.89 | % 89.17/12.89 | REDUCE: (3), (6) imply: % 89.17/12.89 | (7) $false % 89.17/12.89 | % 89.17/12.89 | CLOSE: (7) is inconsistent. % 89.17/12.89 | % 89.17/12.89 End of proof % 89.17/12.89 % 89.17/12.89 Sub-proof #44 shows that the following formulas are inconsistent: % 89.17/12.89 ---------------------------------------------------------------- % 89.17/12.89 (1) op(e0, e3) = e3 % 89.17/12.89 (2) op(e3, e0) = all_9_49 % 89.17/12.89 (3) op(e3, e0) = e3 % 89.17/12.89 (4) op(e0, e3) = all_9_61 % 89.17/12.89 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.89 (6) ~ (all_9_49 = all_9_61) % 89.17/12.89 % 89.17/12.89 Begin of proof % 89.17/12.89 | % 89.17/12.89 | GROUND_INST: instantiating (5) with e3, all_9_61, e3, e0, simplifying with % 89.17/12.89 | (1), (4) gives: % 89.17/12.89 | (7) all_9_61 = e3 % 89.17/12.89 | % 89.17/12.89 | GROUND_INST: instantiating (5) with e3, all_9_49, e0, e3, simplifying with % 89.17/12.89 | (2), (3) gives: % 89.17/12.89 | (8) all_9_49 = e3 % 89.17/12.89 | % 89.17/12.89 | REDUCE: (6), (7), (8) imply: % 89.17/12.89 | (9) $false % 89.17/12.89 | % 89.17/12.89 | CLOSE: (9) is inconsistent. % 89.17/12.89 | % 89.17/12.89 End of proof % 89.17/12.89 % 89.17/12.89 Sub-proof #45 shows that the following formulas are inconsistent: % 89.17/12.89 ---------------------------------------------------------------- % 89.17/12.89 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.17/12.89 (2) op(e1, e2) = e4 % 89.17/12.89 (3) op(e4, unit) = e4 % 89.17/12.89 (4) all_6_1 = all_4_5 % 89.17/12.89 (5) op(e1, e4) = e3 % 89.17/12.89 (6) ~ (unit = e1) % 89.17/12.89 (7) ~ (all_9_48 = all_9_56) % 89.17/12.89 (8) op(e1, e1) = e0 % 89.17/12.89 (9) ~ (e2 = e0) % 89.17/12.89 (10) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.17/12.89 (11) op(e1, unit) = e1 % 89.17/12.89 (12) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 89.17/12.89 (13) op(e3, e2) = e1 % 89.17/12.89 (14) ~ (e4 = e3) % 89.17/12.89 (15) op(e1, e3) = e2 % 89.17/12.89 (16) op(e2, e2) = e3 % 89.17/12.89 (17) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.17/12.89 (18) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 89.17/12.89 (19) ~ (all_4_15 = e1) % 89.17/12.89 (20) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 89.17/12.89 (21) all_6_11 = e0 % 89.17/12.89 (22) ~ (all_4_5 = e4) % 89.17/12.89 (23) ~ (all_4_13 = e1) % 89.17/12.89 (24) op(unit, e1) = e1 % 89.17/12.89 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.90 (26) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 & % 89.17/12.90 op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 89.17/12.90 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 89.17/12.90 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit = % 89.17/12.90 e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = e4) % 89.17/12.90 | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 89.17/12.90 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = % 89.17/12.90 all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.90 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) = % 89.17/12.90 all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.90 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) = % 89.17/12.90 all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.90 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = % 89.17/12.90 all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.90 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) = % 89.17/12.90 all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.90 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) = % 89.17/12.90 all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.90 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = % 89.17/12.90 all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.90 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) = % 89.17/12.90 all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.90 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) = % 89.17/12.90 all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.90 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = % 89.17/12.90 all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( % 89.17/12.90 ~ (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.90 (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 89.17/12.90 op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 89.17/12.90 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 89.17/12.90 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit = % 89.17/12.90 e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = e3) % 89.17/12.90 | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 89.17/12.90 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = % 89.17/12.90 all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.90 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) = % 89.17/12.90 all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.90 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) = % 89.17/12.90 all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.90 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = % 89.17/12.90 all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.90 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) = % 89.17/12.90 all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.90 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) = % 89.17/12.90 all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.90 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = % 89.17/12.90 all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.90 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) = % 89.17/12.90 all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.90 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) = % 89.17/12.90 all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.90 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = % 89.17/12.90 all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( % 89.17/12.90 ~ (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.90 (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = all_9_52 & % 89.17/12.90 op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & $i(all_9_42) & % 89.17/12.90 $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & $i(all_9_62) & ( ~ % 89.17/12.90 (all_9_42 = e2) | ~ (unit = e2)) & ( ~ (all_9_47 = e2) | ~ (unit = % 89.17/12.90 e2)) & ( ~ (all_9_52 = e2) | ~ (unit = e2)) & ( ~ (all_9_57 = e2) % 89.17/12.90 | ~ (unit = e2)) & ( ~ (all_9_62 = e2) | ~ (unit = e2)) & % 89.17/12.90 ((all_9_42 = e4 & ~ (unit = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = % 89.17/12.90 all_9_40 & $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.90 ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = % 89.17/12.90 all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.90 ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ (all_9_45 = e2) & op(e3, e4) = % 89.17/12.90 all_9_45 & $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_46 = e2) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.90 ((all_9_47 = e1 & ~ (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = % 89.17/12.90 all_9_48 & $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.90 ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) = % 89.17/12.90 all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 89.17/12.90 ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = % 89.17/12.90 all_9_53 & $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_54 = e2) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.90 ((all_9_57 = e4 & ~ (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = % 89.17/12.90 all_9_55 & $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.90 ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = % 89.17/12.90 all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.90 ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ (all_9_60 = e2) & op(e0, e4) = % 89.17/12.90 all_9_60 & $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_61 = e2) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.90 ((all_9_62 = e1 & ~ (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = % 89.17/12.90 all_9_63 & $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( % 89.17/12.90 ~ (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.90 (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = all_9_53 & % 89.17/12.90 op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & $i(all_9_43) & % 89.17/12.90 $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & $i(all_9_63) & ( ~ % 89.17/12.90 (all_9_43 = e1) | ~ (unit = e1)) & ( ~ (all_9_48 = e1) | ~ (unit = % 89.17/12.90 e1)) & ( ~ (all_9_53 = e1) | ~ (unit = e1)) & ( ~ (all_9_58 = e1) % 89.17/12.90 | ~ (unit = e1)) & ( ~ (all_9_63 = e1) | ~ (unit = e1)) & % 89.17/12.90 ((all_9_43 = e4 & ~ (unit = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = % 89.17/12.90 all_9_40 & $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.90 ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, e2) = % 89.17/12.90 all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.90 ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ (all_9_45 = e1) & op(e3, e4) = % 89.17/12.90 all_9_45 & $i(all_9_45))) & ((all_9_48 = e3 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_46 = e1) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.90 ((all_9_48 = e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = % 89.17/12.90 all_9_47 & $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.90 ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, e4) = % 89.17/12.90 all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 89.17/12.90 ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ (all_9_52 = e1) & op(e2, e2) = % 89.17/12.90 all_9_52 & $i(all_9_52))) & ((all_9_53 = e0 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_54 = e1) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.90 ((all_9_58 = e4 & ~ (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = % 89.17/12.90 all_9_55 & $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.90 ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, e2) = % 89.17/12.90 all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.90 ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ (all_9_60 = e1) & op(e0, e4) = % 89.17/12.90 all_9_60 & $i(all_9_60))) & ((all_9_63 = e3 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_61 = e1) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.90 ((all_9_63 = e2 & ~ (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = % 89.17/12.90 all_9_62 & $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( % 89.17/12.90 ~ (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.90 (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = all_9_54 & % 89.17/12.90 op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & $i(all_9_44) & % 89.17/12.90 $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & $i(all_9_64) & ( ~ % 89.17/12.90 (all_9_44 = e0) | ~ (unit = e0)) & ( ~ (all_9_49 = e0) | ~ (unit = % 89.17/12.90 e0)) & ( ~ (all_9_54 = e0) | ~ (unit = e0)) & ( ~ (all_9_59 = e0) % 89.17/12.90 | ~ (unit = e0)) & ( ~ (all_9_64 = e0) | ~ (unit = e0)) & % 89.17/12.90 ((all_9_44 = e4 & ~ (unit = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = % 89.17/12.90 all_9_40 & $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.90 ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, e2) = % 89.17/12.90 all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 89.17/12.90 ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ (all_9_45 = e0) & op(e3, e4) = % 89.17/12.90 all_9_45 & $i(all_9_45))) & ((all_9_49 = e3 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_46 = e0) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.90 ((all_9_49 = e2 & ~ (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = % 89.17/12.90 all_9_47 & $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.90 ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, e4) = % 89.17/12.90 all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 89.17/12.90 ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ (all_9_52 = e0) & op(e2, e2) = % 89.17/12.90 all_9_52 & $i(all_9_52))) & ((all_9_54 = e1 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_53 = e0) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.90 ((all_9_59 = e4 & ~ (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = % 89.17/12.90 all_9_55 & $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.90 ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, e2) = % 89.17/12.90 all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 89.17/12.90 ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ (all_9_60 = e0) & op(e0, e4) = % 89.17/12.90 all_9_60 & $i(all_9_60))) & ((all_9_64 = e3 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_61 = e0) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.90 ((all_9_64 = e2 & ~ (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = % 89.17/12.90 all_9_62 & $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( % 89.17/12.90 ~ (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 89.17/12.90 (27) all_6_3 = all_4_15 % 89.17/12.90 (28) ~ (e3 = e2) % 89.17/12.90 (29) op(e1, e3) = all_9_56 % 89.17/12.90 % 89.17/12.90 Begin of proof % 89.17/12.90 | % 89.17/12.90 | BETA: splitting (26) gives: % 89.17/12.90 | % 89.17/12.90 | Case 1: % 89.17/12.90 | | % 89.17/12.90 | | (30) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = % 89.17/12.90 | | all_9_50 & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & % 89.17/12.90 | | $i(all_9_40) & $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 89.17/12.90 | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = e4)) & ( ~ % 89.17/12.90 | | (all_9_45 = e4) | ~ (unit = e4)) & ( ~ (all_9_50 = e4) | ~ % 89.17/12.90 | | (unit = e4)) & ( ~ (all_9_55 = e4) | ~ (unit = e4)) & ( ~ % 89.17/12.90 | | (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 = e3 & ~ (unit = % 89.17/12.90 | | e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = all_9_41 & % 89.17/12.90 | | $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.90 | | (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.90 | | ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, % 89.17/12.90 | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit % 89.17/12.90 | | = e4)) | ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & % 89.17/12.90 | | $i(all_9_44))) & ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ % 89.17/12.90 | | (all_9_46 = e4) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.90 | | ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ (all_9_47 = e4) & op(e3, % 89.17/12.90 | | e2) = all_9_47 & $i(all_9_47))) & ((all_9_45 = e1 & ~ (unit % 89.17/12.90 | | = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = all_9_48 & % 89.17/12.90 | | $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.90 | | (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.90 | | ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, % 89.17/12.90 | | e3) = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit % 89.17/12.90 | | = e4)) | ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & % 89.17/12.90 | | $i(all_9_52))) & ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ % 89.17/12.90 | | (all_9_53 = e4) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.90 | | ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ (all_9_54 = e4) & op(e2, % 89.17/12.90 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_55 = e3 & ~ (unit % 89.17/12.90 | | = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = all_9_56 & % 89.17/12.90 | | $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.90 | | (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.90 | | ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, % 89.17/12.90 | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit % 89.17/12.90 | | = e4)) | ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & % 89.17/12.90 | | $i(all_9_59))) & ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ % 89.17/12.90 | | (all_9_61 = e4) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.90 | | ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ (all_9_62 = e4) & op(e0, % 89.17/12.90 | | e2) = all_9_62 & $i(all_9_62))) & ((all_9_60 = e1 & ~ (unit % 89.17/12.90 | | = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = all_9_63 & % 89.17/12.90 | | $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.90 | | (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.90 | | (op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = % 89.17/12.90 | | all_9_51 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 89.17/12.90 | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & % 89.17/12.90 | | $i(all_9_61) & ( ~ (all_9_41 = e3) | ~ (unit = e3)) & ( ~ % 89.17/12.90 | | (all_9_46 = e3) | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ % 89.17/12.90 | | (unit = e3)) & ( ~ (all_9_56 = e3) | ~ (unit = e3)) & ( ~ % 89.17/12.90 | | (all_9_61 = e3) | ~ (unit = e3)) & ((all_9_41 = e4 & ~ (unit = % 89.17/12.90 | | e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = all_9_40 & % 89.17/12.90 | | $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.90 | | (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.90 | | ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, % 89.17/12.90 | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit % 89.17/12.90 | | = e3)) | ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & % 89.17/12.90 | | $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ % 89.17/12.90 | | (all_9_45 = e3) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.90 | | ((all_9_46 = e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & op(e3, % 89.17/12.90 | | e2) = all_9_47 & $i(all_9_47))) & ((all_9_46 = e1 & ~ (unit % 89.17/12.90 | | = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = all_9_48 & % 89.17/12.90 | | $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.90 | | (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.90 | | ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, % 89.17/12.90 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit % 89.17/12.90 | | = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & % 89.17/12.90 | | $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ % 89.17/12.90 | | (all_9_53 = e3) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.90 | | ((all_9_51 = e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & op(e2, % 89.17/12.90 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_56 = e4 & ~ (unit % 89.17/12.90 | | = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = all_9_55 & % 89.17/12.90 | | $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.90 | | (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.90 | | ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, % 89.17/12.90 | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit % 89.17/12.90 | | = e3)) | ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & % 89.17/12.90 | | $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ % 89.17/12.90 | | (all_9_60 = e3) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.90 | | ((all_9_61 = e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & op(e0, % 89.17/12.90 | | e2) = all_9_62 & $i(all_9_62))) & ((all_9_61 = e1 & ~ (unit % 89.17/12.90 | | = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = all_9_63 & % 89.17/12.90 | | $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.90 | | (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) % 89.17/12.90 | | % 89.17/12.90 | | REF_CLOSE: (2), (5), (9), (16), (20), (21), (25), (28), (30) are % 89.17/12.90 | | inconsistent by sub-proof #57. % 89.17/12.90 | | % 89.17/12.90 | Case 2: % 89.17/12.90 | | % 89.17/12.91 | | (31) (op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = % 89.17/12.91 | | all_9_52 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & % 89.17/12.91 | | $i(all_9_42) & $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 89.17/12.91 | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.91 | | (all_9_47 = e2) | ~ (unit = e2)) & ( ~ (all_9_52 = e2) | ~ % 89.17/12.91 | | (unit = e2)) & ( ~ (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.91 | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = e4 & ~ (unit = % 89.17/12.91 | | e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = all_9_40 & % 89.17/12.91 | | $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.91 | | ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, % 89.17/12.91 | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit % 89.17/12.91 | | = e2)) | ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & % 89.17/12.91 | | $i(all_9_44))) & ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.91 | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 = e2) & op(e3, % 89.17/12.91 | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit % 89.17/12.91 | | = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = all_9_48 & % 89.17/12.91 | | $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.91 | | ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, % 89.17/12.91 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit % 89.17/12.91 | | = e2)) | ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & % 89.17/12.91 | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.91 | | ((all_9_52 = e0 & ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 89.17/12.91 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 = e4 & ~ (unit % 89.17/12.91 | | = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = all_9_55 & % 89.17/12.91 | | $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.91 | | ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, % 89.17/12.91 | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit % 89.17/12.91 | | = e2)) | ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & % 89.17/12.91 | | $i(all_9_59))) & ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.91 | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 = e2) & op(e0, % 89.17/12.91 | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit % 89.17/12.91 | | = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = all_9_63 & % 89.17/12.91 | | $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.91 | | (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 89.17/12.91 | | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 89.17/12.91 | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 89.17/12.91 | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.91 | | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 89.17/12.91 | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.91 | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit = % 89.17/12.91 | | e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 89.17/12.91 | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.91 | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.91 | | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 89.17/12.91 | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ (unit % 89.17/12.91 | | = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 89.17/12.91 | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.91 | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.91 | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 89.17/12.91 | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ (unit % 89.17/12.91 | | = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 89.17/12.91 | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.91 | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.91 | | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 89.17/12.91 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ (unit % 89.17/12.91 | | = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 89.17/12.91 | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 89.17/12.91 | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.91 | | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 89.17/12.91 | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ (unit % 89.17/12.91 | | = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 89.17/12.91 | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.91 | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.91 | | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 89.17/12.91 | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ (unit % 89.17/12.91 | | = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 89.17/12.91 | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.91 | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.91 | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 89.17/12.91 | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ (unit % 89.17/12.91 | | = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 89.17/12.91 | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.91 | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.91 | | (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 89.17/12.91 | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 89.17/12.91 | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 89.17/12.91 | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.91 | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 89.17/12.91 | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.91 | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit = % 89.17/12.91 | | e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 89.17/12.91 | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.91 | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.91 | | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 89.17/12.91 | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ (unit % 89.17/12.91 | | = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 89.17/12.91 | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.91 | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.91 | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 89.17/12.91 | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ (unit % 89.17/12.91 | | = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 89.17/12.91 | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.91 | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.91 | | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 89.17/12.91 | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ (unit % 89.17/12.91 | | = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 89.17/12.91 | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 89.17/12.91 | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.91 | | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 89.17/12.91 | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ (unit % 89.17/12.91 | | = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 89.17/12.91 | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.91 | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.91 | | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 89.17/12.91 | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ (unit % 89.17/12.91 | | = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 89.17/12.91 | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.91 | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.91 | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 89.17/12.91 | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ (unit % 89.17/12.91 | | = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 89.17/12.91 | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.91 | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 89.17/12.91 | | % 89.17/12.91 | | BETA: splitting (31) gives: % 89.17/12.91 | | % 89.17/12.91 | | Case 1: % 89.17/12.91 | | | % 89.17/12.91 | | | (32) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = % 89.17/12.91 | | | all_9_52 & op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & % 89.17/12.91 | | | $i(all_9_42) & $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & % 89.17/12.91 | | | $i(all_9_62) & ( ~ (all_9_42 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.91 | | | (all_9_47 = e2) | ~ (unit = e2)) & ( ~ (all_9_52 = e2) | ~ % 89.17/12.91 | | | (unit = e2)) & ( ~ (all_9_57 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.91 | | | (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = e4 & ~ (unit = % 89.17/12.91 | | | e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = all_9_40 & % 89.17/12.91 | | | $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | | (all_9_41 = e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.91 | | | ((all_9_42 = e1 & ~ (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, % 89.17/12.91 | | | e1) = all_9_43 & $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit % 89.17/12.91 | | | = e2)) | ( ~ (all_9_44 = e2) & op(e4, e0) = all_9_44 & % 89.17/12.91 | | | $i(all_9_44))) & ((all_9_47 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | | (all_9_45 = e2) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.91 | | | ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 = e2) & op(e3, % 89.17/12.91 | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_47 = e1 & ~ (unit % 89.17/12.91 | | | = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = all_9_48 & % 89.17/12.91 | | | $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | | (all_9_49 = e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.91 | | | ((all_9_52 = e4 & ~ (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, % 89.17/12.91 | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit % 89.17/12.91 | | | = e2)) | ( ~ (all_9_51 = e2) & op(e2, e3) = all_9_51 & % 89.17/12.91 | | | $i(all_9_51))) & ((all_9_52 = e1 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | | (all_9_53 = e2) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.91 | | | ((all_9_52 = e0 & ~ (unit = e2)) | ( ~ (all_9_54 = e2) & op(e2, % 89.17/12.91 | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 = e4 & ~ (unit % 89.17/12.91 | | | = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = all_9_55 & % 89.17/12.91 | | | $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | | (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.91 | | | ((all_9_57 = e1 & ~ (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, % 89.17/12.91 | | | e1) = all_9_58 & $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit % 89.17/12.91 | | | = e2)) | ( ~ (all_9_59 = e2) & op(e1, e0) = all_9_59 & % 89.17/12.91 | | | $i(all_9_59))) & ((all_9_62 = e4 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | | (all_9_60 = e2) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.91 | | | ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 = e2) & op(e0, % 89.17/12.91 | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_62 = e1 & ~ (unit % 89.17/12.91 | | | = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = all_9_63 & % 89.17/12.91 | | | $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ % 89.17/12.91 | | | (all_9_64 = e2) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.91 | | | % 89.17/12.91 | | | REF_CLOSE: (2), (14), (15), (25), (32) are inconsistent by sub-proof #54. % 89.17/12.91 | | | % 89.17/12.91 | | Case 2: % 89.17/12.91 | | | % 89.17/12.92 | | | (33) (op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 89.17/12.92 | | | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 89.17/12.92 | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 89.17/12.92 | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.92 | | | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 89.17/12.92 | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.92 | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit % 89.17/12.92 | | | = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 89.17/12.92 | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.92 | | | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 89.17/12.92 | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ % 89.17/12.92 | | | (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 89.17/12.92 | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.92 | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 89.17/12.92 | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ % 89.17/12.92 | | | (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 89.17/12.92 | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.92 | | | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 89.17/12.92 | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ % 89.17/12.92 | | | (unit = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 89.17/12.92 | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.92 | | | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 89.17/12.92 | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ % 89.17/12.92 | | | (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 89.17/12.92 | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.92 | | | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 89.17/12.92 | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ % 89.17/12.92 | | | (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 89.17/12.92 | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.92 | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 89.17/12.92 | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ % 89.17/12.92 | | | (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 89.17/12.92 | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | % 89.17/12.92 | | | (op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 89.17/12.92 | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 89.17/12.92 | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 89.17/12.92 | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.92 | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 89.17/12.92 | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.92 | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit % 89.17/12.92 | | | = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 89.17/12.92 | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.92 | | | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 89.17/12.92 | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ % 89.17/12.92 | | | (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 89.17/12.92 | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.92 | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 89.17/12.92 | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ % 89.17/12.92 | | | (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 89.17/12.92 | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.92 | | | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 89.17/12.92 | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ % 89.17/12.92 | | | (unit = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 89.17/12.92 | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.92 | | | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 89.17/12.92 | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ % 89.17/12.92 | | | (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 89.17/12.92 | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.92 | | | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 89.17/12.92 | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ % 89.17/12.92 | | | (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 89.17/12.92 | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.92 | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 89.17/12.92 | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ % 89.17/12.92 | | | (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 89.17/12.92 | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63)))) % 89.17/12.92 | | | % 89.17/12.92 | | | BETA: splitting (33) gives: % 89.17/12.92 | | | % 89.17/12.92 | | | Case 1: % 89.17/12.92 | | | | % 89.17/12.92 | | | | (34) op(e4, e1) = all_9_43 & op(e3, e1) = all_9_48 & op(e2, e1) = % 89.17/12.92 | | | | all_9_53 & op(e1, e1) = all_9_58 & op(e0, e1) = all_9_63 & % 89.17/12.92 | | | | $i(all_9_43) & $i(all_9_48) & $i(all_9_53) & $i(all_9_58) & % 89.17/12.92 | | | | $i(all_9_63) & ( ~ (all_9_43 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.92 | | | | (all_9_48 = e1) | ~ (unit = e1)) & ( ~ (all_9_53 = e1) | ~ % 89.17/12.92 | | | | (unit = e1)) & ( ~ (all_9_58 = e1) | ~ (unit = e1)) & ( ~ % 89.17/12.92 | | | | (all_9_63 = e1) | ~ (unit = e1)) & ((all_9_43 = e4 & ~ (unit % 89.17/12.92 | | | | = e1)) | ( ~ (all_9_40 = e1) & op(e4, e4) = all_9_40 & % 89.17/12.92 | | | | $i(all_9_40))) & ((all_9_43 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | | (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.92 | | | | ((all_9_43 = e2 & ~ (unit = e1)) | ( ~ (all_9_42 = e1) & op(e4, % 89.17/12.92 | | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_43 = e0 & ~ % 89.17/12.92 | | | | (unit = e1)) | ( ~ (all_9_44 = e1) & op(e4, e0) = all_9_44 & % 89.17/12.92 | | | | $i(all_9_44))) & ((all_9_48 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | | (all_9_45 = e1) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.92 | | | | ((all_9_48 = e3 & ~ (unit = e1)) | ( ~ (all_9_46 = e1) & op(e3, % 89.17/12.92 | | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_48 = e2 & ~ % 89.17/12.92 | | | | (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & % 89.17/12.92 | | | | $i(all_9_47))) & ((all_9_48 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | | (all_9_49 = e1) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.92 | | | | ((all_9_53 = e4 & ~ (unit = e1)) | ( ~ (all_9_50 = e1) & op(e2, % 89.17/12.92 | | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_53 = e3 & ~ % 89.17/12.92 | | | | (unit = e1)) | ( ~ (all_9_51 = e1) & op(e2, e3) = all_9_51 & % 89.17/12.92 | | | | $i(all_9_51))) & ((all_9_53 = e2 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | | (all_9_52 = e1) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.92 | | | | ((all_9_53 = e0 & ~ (unit = e1)) | ( ~ (all_9_54 = e1) & op(e2, % 89.17/12.92 | | | | e0) = all_9_54 & $i(all_9_54))) & ((all_9_58 = e4 & ~ % 89.17/12.92 | | | | (unit = e1)) | ( ~ (all_9_55 = e1) & op(e1, e4) = all_9_55 & % 89.17/12.92 | | | | $i(all_9_55))) & ((all_9_58 = e3 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | | (all_9_56 = e1) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.92 | | | | ((all_9_58 = e2 & ~ (unit = e1)) | ( ~ (all_9_57 = e1) & op(e1, % 89.17/12.92 | | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_58 = e0 & ~ % 89.17/12.92 | | | | (unit = e1)) | ( ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & % 89.17/12.92 | | | | $i(all_9_59))) & ((all_9_63 = e4 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | | (all_9_60 = e1) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.92 | | | | ((all_9_63 = e3 & ~ (unit = e1)) | ( ~ (all_9_61 = e1) & op(e0, % 89.17/12.92 | | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_63 = e2 & ~ % 89.17/12.92 | | | | (unit = e1)) | ( ~ (all_9_62 = e1) & op(e0, e2) = all_9_62 & % 89.17/12.92 | | | | $i(all_9_62))) & ((all_9_63 = e0 & ~ (unit = e1)) | ( ~ % 89.17/12.92 | | | | (all_9_64 = e1) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.92 | | | | % 89.17/12.92 | | | | ALPHA: (34) implies: % 89.17/12.92 | | | | (35) (all_9_48 = e2 & ~ (unit = e1)) | ( ~ (all_9_47 = e1) & op(e3, % 89.17/12.92 | | | | e2) = all_9_47 & $i(all_9_47)) % 89.17/12.92 | | | | % 89.17/12.92 | | | | BETA: splitting (35) gives: % 89.17/12.92 | | | | % 89.17/12.92 | | | | Case 1: % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | (36) all_9_48 = e2 & ~ (unit = e1) % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | ALPHA: (36) implies: % 89.17/12.92 | | | | | (37) all_9_48 = e2 % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | REDUCE: (7), (37) imply: % 89.17/12.92 | | | | | (38) ~ (all_9_56 = e2) % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | SIMP: (38) implies: % 89.17/12.92 | | | | | (39) ~ (all_9_56 = e2) % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | REF_CLOSE: (15), (25), (29), (39) are inconsistent by sub-proof #55. % 89.17/12.92 | | | | | % 89.17/12.92 | | | | Case 2: % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | (40) ~ (all_9_47 = e1) & op(e3, e2) = all_9_47 & $i(all_9_47) % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | ALPHA: (40) implies: % 89.17/12.92 | | | | | (41) ~ (all_9_47 = e1) % 89.17/12.92 | | | | | (42) op(e3, e2) = all_9_47 % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | GROUND_INST: instantiating (25) with e1, all_9_47, e2, e3, simplifying % 89.17/12.92 | | | | | with (13), (42) gives: % 89.17/12.92 | | | | | (43) all_9_47 = e1 % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | REDUCE: (41), (43) imply: % 89.17/12.92 | | | | | (44) $false % 89.17/12.92 | | | | | % 89.17/12.92 | | | | | CLOSE: (44) is inconsistent. % 89.17/12.92 | | | | | % 89.17/12.92 | | | | End of split % 89.17/12.92 | | | | % 89.17/12.92 | | | Case 2: % 89.17/12.92 | | | | % 89.17/12.92 | | | | (45) op(e4, e0) = all_9_44 & op(e3, e0) = all_9_49 & op(e2, e0) = % 89.17/12.92 | | | | all_9_54 & op(e1, e0) = all_9_59 & op(e0, e0) = all_9_64 & % 89.17/12.92 | | | | $i(all_9_44) & $i(all_9_49) & $i(all_9_54) & $i(all_9_59) & % 89.17/12.92 | | | | $i(all_9_64) & ( ~ (all_9_44 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.92 | | | | (all_9_49 = e0) | ~ (unit = e0)) & ( ~ (all_9_54 = e0) | ~ % 89.17/12.92 | | | | (unit = e0)) & ( ~ (all_9_59 = e0) | ~ (unit = e0)) & ( ~ % 89.17/12.92 | | | | (all_9_64 = e0) | ~ (unit = e0)) & ((all_9_44 = e4 & ~ (unit % 89.17/12.92 | | | | = e0)) | ( ~ (all_9_40 = e0) & op(e4, e4) = all_9_40 & % 89.17/12.92 | | | | $i(all_9_40))) & ((all_9_44 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | | (all_9_41 = e0) & op(e4, e3) = all_9_41 & $i(all_9_41))) & % 89.17/12.92 | | | | ((all_9_44 = e2 & ~ (unit = e0)) | ( ~ (all_9_42 = e0) & op(e4, % 89.17/12.92 | | | | e2) = all_9_42 & $i(all_9_42))) & ((all_9_44 = e1 & ~ % 89.17/12.92 | | | | (unit = e0)) | ( ~ (all_9_43 = e0) & op(e4, e1) = all_9_43 & % 89.17/12.92 | | | | $i(all_9_43))) & ((all_9_49 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | | (all_9_45 = e0) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.92 | | | | ((all_9_49 = e3 & ~ (unit = e0)) | ( ~ (all_9_46 = e0) & op(e3, % 89.17/12.92 | | | | e3) = all_9_46 & $i(all_9_46))) & ((all_9_49 = e2 & ~ % 89.17/12.92 | | | | (unit = e0)) | ( ~ (all_9_47 = e0) & op(e3, e2) = all_9_47 & % 89.17/12.92 | | | | $i(all_9_47))) & ((all_9_49 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | | (all_9_48 = e0) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.92 | | | | ((all_9_54 = e4 & ~ (unit = e0)) | ( ~ (all_9_50 = e0) & op(e2, % 89.17/12.92 | | | | e4) = all_9_50 & $i(all_9_50))) & ((all_9_54 = e3 & ~ % 89.17/12.92 | | | | (unit = e0)) | ( ~ (all_9_51 = e0) & op(e2, e3) = all_9_51 & % 89.17/12.92 | | | | $i(all_9_51))) & ((all_9_54 = e2 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | | (all_9_52 = e0) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.92 | | | | ((all_9_54 = e1 & ~ (unit = e0)) | ( ~ (all_9_53 = e0) & op(e2, % 89.17/12.92 | | | | e1) = all_9_53 & $i(all_9_53))) & ((all_9_59 = e4 & ~ % 89.17/12.92 | | | | (unit = e0)) | ( ~ (all_9_55 = e0) & op(e1, e4) = all_9_55 & % 89.17/12.92 | | | | $i(all_9_55))) & ((all_9_59 = e3 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | | (all_9_56 = e0) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.92 | | | | ((all_9_59 = e2 & ~ (unit = e0)) | ( ~ (all_9_57 = e0) & op(e1, % 89.17/12.92 | | | | e2) = all_9_57 & $i(all_9_57))) & ((all_9_59 = e1 & ~ % 89.17/12.92 | | | | (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & % 89.17/12.92 | | | | $i(all_9_58))) & ((all_9_64 = e4 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | | (all_9_60 = e0) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.92 | | | | ((all_9_64 = e3 & ~ (unit = e0)) | ( ~ (all_9_61 = e0) & op(e0, % 89.17/12.92 | | | | e3) = all_9_61 & $i(all_9_61))) & ((all_9_64 = e2 & ~ % 89.17/12.92 | | | | (unit = e0)) | ( ~ (all_9_62 = e0) & op(e0, e2) = all_9_62 & % 89.17/12.92 | | | | $i(all_9_62))) & ((all_9_64 = e1 & ~ (unit = e0)) | ( ~ % 89.17/12.92 | | | | (all_9_63 = e0) & op(e0, e1) = all_9_63 & $i(all_9_63))) % 89.17/12.92 | | | | % 89.17/12.92 | | | | ALPHA: (45) implies: % 89.17/12.92 | | | | (46) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, % 89.17/12.92 | | | | e1) = all_9_58 & $i(all_9_58)) % 89.17/12.92 | | | | % 89.17/12.92 | | | | REF_CLOSE: (1), (3), (4), (6), (8), (10), (11), (12), (17), (18), (19), % 89.17/12.92 | | | | (22), (23), (24), (25), (27), (46) are inconsistent by % 89.17/12.92 | | | | sub-proof #51. % 89.17/12.92 | | | | % 89.17/12.92 | | | End of split % 89.17/12.92 | | | % 89.17/12.92 | | End of split % 89.17/12.92 | | % 89.17/12.92 | End of split % 89.17/12.92 | % 89.17/12.92 End of proof % 89.17/12.92 % 89.17/12.92 Sub-proof #46 shows that the following formulas are inconsistent: % 89.17/12.92 ---------------------------------------------------------------- % 89.17/12.92 (1) op(e1, e2) = e4 % 89.17/12.92 (2) op(e1, e4) = e3 % 89.17/12.92 (3) ~ (op(e2, e3) = e2) % 89.17/12.92 (4) op(e2, e2) = e3 % 89.17/12.93 (5) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 & % 89.17/12.93 op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 89.17/12.93 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 89.17/12.93 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit = % 89.17/12.93 e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = e4) % 89.17/12.93 | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 89.17/12.93 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = % 89.17/12.93 all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.93 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) = % 89.17/12.93 all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.93 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) = % 89.17/12.93 all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.93 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = % 89.17/12.93 all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.93 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) = % 89.17/12.93 all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.93 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) = % 89.17/12.93 all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.93 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = % 89.17/12.93 all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.93 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) = % 89.17/12.93 all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.93 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) = % 89.17/12.93 all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.93 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = % 89.17/12.93 all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.93 (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | (op(e4, % 89.17/12.93 e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 89.17/12.93 op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 89.17/12.93 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 89.17/12.93 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit = % 89.17/12.93 e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = e3) % 89.17/12.93 | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 89.17/12.93 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = % 89.17/12.93 all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.93 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) = % 89.17/12.93 all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.93 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) = % 89.17/12.93 all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.93 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = % 89.17/12.93 all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.93 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) = % 89.17/12.93 all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.93 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) = % 89.17/12.93 all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.93 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = % 89.17/12.93 all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.93 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) = % 89.17/12.93 all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.93 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) = % 89.17/12.93 all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.93 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = % 89.17/12.93 all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.93 (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) % 89.17/12.93 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.93 (7) ~ (e3 = e2) % 89.17/12.93 % 89.17/12.93 Begin of proof % 89.17/12.93 | % 89.17/12.93 | BETA: splitting (5) gives: % 89.17/12.93 | % 89.17/12.93 | Case 1: % 89.17/12.93 | | % 89.17/12.93 | | (8) op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 % 89.17/12.93 | | & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 89.17/12.93 | | $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 89.17/12.93 | | (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit % 89.17/12.93 | | = e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = % 89.17/12.93 | | e4) | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 89.17/12.93 | | ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) % 89.17/12.93 | | = all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.93 | | ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) % 89.17/12.93 | | = all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.93 | | ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) % 89.17/12.93 | | = all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.93 | | ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) % 89.17/12.93 | | = all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.93 | | ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) % 89.17/12.93 | | = all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.93 | | ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) % 89.17/12.93 | | = all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.93 | | ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) % 89.17/12.93 | | = all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.93 | | ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) % 89.17/12.93 | | = all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.93 | | ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) % 89.17/12.93 | | = all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.93 | | ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) % 89.17/12.93 | | = all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | % 89.17/12.93 | | ( ~ (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.93 | | % 89.17/12.93 | | REF_CLOSE: (1), (2), (6), (7), (8) are inconsistent by sub-proof #59. % 89.17/12.93 | | % 89.17/12.93 | Case 2: % 89.17/12.93 | | % 89.17/12.93 | | (9) op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 % 89.17/12.93 | | & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 89.17/12.93 | | $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 89.17/12.93 | | (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit % 89.17/12.93 | | = e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = % 89.17/12.93 | | e3) | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 89.17/12.93 | | ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) % 89.17/12.93 | | = all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.93 | | ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) % 89.17/12.93 | | = all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.93 | | ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) % 89.17/12.93 | | = all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.93 | | ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) % 89.17/12.93 | | = all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.93 | | ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) % 89.17/12.93 | | = all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.93 | | ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) % 89.17/12.93 | | = all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.93 | | ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) % 89.17/12.93 | | = all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.93 | | ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) % 89.17/12.93 | | = all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.93 | | ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) % 89.17/12.93 | | = all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.93 | | ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) % 89.17/12.93 | | = all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | % 89.17/12.93 | | ( ~ (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.93 | | % 89.17/12.93 | | ALPHA: (9) implies: % 89.17/12.93 | | (10) op(e2, e3) = all_9_51 % 89.17/12.93 | | (11) (all_9_51 = e2 & ~ (unit = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) % 89.17/12.93 | | = all_9_52 & $i(all_9_52)) % 89.17/12.93 | | % 89.17/12.93 | | REF_CLOSE: (3), (4), (6), (10), (11) are inconsistent by sub-proof #58. % 89.17/12.93 | | % 89.17/12.93 | End of split % 89.17/12.93 | % 89.17/12.93 End of proof % 89.17/12.93 % 89.17/12.93 Sub-proof #47 shows that the following formulas are inconsistent: % 89.17/12.93 ---------------------------------------------------------------- % 89.17/12.93 (1) op(e4, e0) = all_9_44 % 89.17/12.93 (2) op(e0, e4) = all_9_60 % 89.17/12.93 (3) op(e0, e4) = e4 % 89.17/12.93 (4) op(e4, e0) = e4 % 89.17/12.93 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.93 (6) ~ (all_9_44 = all_9_60) % 89.17/12.93 % 89.17/12.93 Begin of proof % 89.17/12.93 | % 89.17/12.93 | GROUND_INST: instantiating (5) with e4, all_9_60, e4, e0, simplifying with % 89.17/12.93 | (2), (3) gives: % 89.17/12.93 | (7) all_9_60 = e4 % 89.17/12.93 | % 89.17/12.93 | GROUND_INST: instantiating (5) with e4, all_9_44, e0, e4, simplifying with % 89.17/12.93 | (1), (4) gives: % 89.17/12.93 | (8) all_9_44 = e4 % 89.17/12.93 | % 89.17/12.93 | REDUCE: (6), (7), (8) imply: % 89.17/12.93 | (9) $false % 89.17/12.93 | % 89.17/12.93 | CLOSE: (9) is inconsistent. % 89.17/12.93 | % 89.17/12.93 End of proof % 89.17/12.93 % 89.17/12.93 Sub-proof #48 shows that the following formulas are inconsistent: % 89.17/12.93 ---------------------------------------------------------------- % 89.17/12.93 (1) ~ (all_9_43 = all_9_55) % 89.17/12.93 (2) op(e1, e4) = e3 % 89.17/12.93 (3) op(e4, e1) = e3 % 89.17/12.93 (4) op(e1, e4) = all_9_55 % 89.17/12.93 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.93 (6) op(e4, e1) = all_9_43 % 89.17/12.93 % 89.17/12.93 Begin of proof % 89.17/12.93 | % 89.17/12.93 | GROUND_INST: instantiating (5) with e3, all_9_55, e4, e1, simplifying with % 89.17/12.93 | (2), (4) gives: % 89.17/12.93 | (7) all_9_55 = e3 % 89.17/12.93 | % 89.17/12.93 | GROUND_INST: instantiating (5) with e3, all_9_43, e1, e4, simplifying with % 89.17/12.93 | (3), (6) gives: % 89.17/12.93 | (8) all_9_43 = e3 % 89.17/12.93 | % 89.17/12.93 | REDUCE: (1), (7), (8) imply: % 89.17/12.93 | (9) $false % 89.17/12.93 | % 89.17/12.93 | CLOSE: (9) is inconsistent. % 89.17/12.93 | % 89.17/12.93 End of proof % 89.17/12.93 % 89.17/12.93 Sub-proof #49 shows that the following formulas are inconsistent: % 89.17/12.93 ---------------------------------------------------------------- % 89.17/12.93 (1) ~ (all_9_41 = e1) & op(e4, e3) = all_9_41 & $i(all_9_41) % 89.17/12.94 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.94 (3) op(e4, e3) = e1 % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | ALPHA: (1) implies: % 89.17/12.94 | (4) ~ (all_9_41 = e1) % 89.17/12.94 | (5) op(e4, e3) = all_9_41 % 89.17/12.94 | % 89.17/12.94 | GROUND_INST: instantiating (2) with e1, all_9_41, e3, e4, simplifying with % 89.17/12.94 | (3), (5) gives: % 89.17/12.94 | (6) all_9_41 = e1 % 89.17/12.94 | % 89.17/12.94 | REDUCE: (4), (6) imply: % 89.17/12.94 | (7) $false % 89.17/12.94 | % 89.17/12.94 | CLOSE: (7) is inconsistent. % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #50 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) all_9_43 = e2 & ~ (unit = e1) % 89.17/12.94 (2) all_9_43 = e3 % 89.17/12.94 (3) ~ (e3 = e2) % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | ALPHA: (1) implies: % 89.17/12.94 | (4) all_9_43 = e2 % 89.17/12.94 | % 89.17/12.94 | COMBINE_EQS: (2), (4) imply: % 89.17/12.94 | (5) e3 = e2 % 89.17/12.94 | % 89.17/12.94 | REDUCE: (3), (5) imply: % 89.17/12.94 | (6) $false % 89.17/12.94 | % 89.17/12.94 | CLOSE: (6) is inconsistent. % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #51 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.17/12.94 (2) op(e4, unit) = e4 % 89.17/12.94 (3) all_6_1 = all_4_5 % 89.17/12.94 (4) ~ (unit = e1) % 89.17/12.94 (5) op(e1, e1) = e0 % 89.17/12.94 (6) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.17/12.94 (7) op(e1, unit) = e1 % 89.17/12.94 (8) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 89.17/12.94 (9) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.17/12.94 (10) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 89.17/12.94 (11) ~ (all_4_15 = e1) % 89.17/12.94 (12) ~ (all_4_5 = e4) % 89.17/12.94 (13) ~ (all_4_13 = e1) % 89.17/12.94 (14) op(unit, e1) = e1 % 89.17/12.94 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.94 (16) all_6_3 = all_4_15 % 89.17/12.94 (17) (all_9_59 = e1 & ~ (unit = e0)) | ( ~ (all_9_58 = e0) & op(e1, e1) = % 89.17/12.94 all_9_58 & $i(all_9_58)) % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | BETA: splitting (17) gives: % 89.17/12.94 | % 89.17/12.94 | Case 1: % 89.17/12.94 | | % 89.17/12.94 | | (18) all_9_59 = e1 & ~ (unit = e0) % 89.17/12.94 | | % 89.17/12.94 | | ALPHA: (18) implies: % 89.17/12.94 | | (19) ~ (unit = e0) % 89.17/12.94 | | % 89.17/12.94 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), % 89.17/12.94 | | (14), (16), (19) are inconsistent by sub-proof #87. % 89.17/12.94 | | % 89.17/12.94 | Case 2: % 89.17/12.94 | | % 89.17/12.94 | | (20) ~ (all_9_58 = e0) & op(e1, e1) = all_9_58 & $i(all_9_58) % 89.17/12.94 | | % 89.17/12.94 | | ALPHA: (20) implies: % 89.17/12.94 | | (21) ~ (all_9_58 = e0) % 89.17/12.94 | | (22) op(e1, e1) = all_9_58 % 89.17/12.94 | | % 89.17/12.94 | | GROUND_INST: instantiating (15) with e0, all_9_58, e1, e1, simplifying with % 89.17/12.94 | | (5), (22) gives: % 89.17/12.94 | | (23) all_9_58 = e0 % 89.17/12.94 | | % 89.17/12.94 | | REDUCE: (21), (23) imply: % 89.17/12.94 | | (24) $false % 89.17/12.94 | | % 89.17/12.94 | | CLOSE: (24) is inconsistent. % 89.17/12.94 | | % 89.17/12.94 | End of split % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #52 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) ~ (all_9_59 = e1) & op(e1, e0) = all_9_59 & $i(all_9_59) % 89.17/12.94 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.94 (3) op(e1, e0) = e1 % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | ALPHA: (1) implies: % 89.17/12.94 | (4) ~ (all_9_59 = e1) % 89.17/12.94 | (5) op(e1, e0) = all_9_59 % 89.17/12.94 | % 89.17/12.94 | GROUND_INST: instantiating (2) with e1, all_9_59, e0, e1, simplifying with % 89.17/12.94 | (3), (5) gives: % 89.17/12.94 | (6) all_9_59 = e1 % 89.17/12.94 | % 89.17/12.94 | REDUCE: (4), (6) imply: % 89.17/12.94 | (7) $false % 89.17/12.94 | % 89.17/12.94 | CLOSE: (7) is inconsistent. % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #53 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) all_9_58 = e4 & ~ (unit = e1) % 89.17/12.94 (2) all_9_58 = e0 % 89.17/12.94 (3) ~ (e4 = e0) % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | ALPHA: (1) implies: % 89.17/12.94 | (4) all_9_58 = e4 % 89.17/12.94 | % 89.17/12.94 | COMBINE_EQS: (2), (4) imply: % 89.17/12.94 | (5) e4 = e0 % 89.17/12.94 | % 89.17/12.94 | SIMP: (5) implies: % 89.17/12.94 | (6) e4 = e0 % 89.17/12.94 | % 89.17/12.94 | REDUCE: (3), (6) imply: % 89.17/12.94 | (7) $false % 89.17/12.94 | % 89.17/12.94 | CLOSE: (7) is inconsistent. % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #54 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) op(e1, e2) = e4 % 89.17/12.94 (2) ~ (e4 = e3) % 89.17/12.94 (3) op(e1, e3) = e2 % 89.17/12.94 (4) op(e4, e2) = all_9_42 & op(e3, e2) = all_9_47 & op(e2, e2) = all_9_52 & % 89.17/12.94 op(e1, e2) = all_9_57 & op(e0, e2) = all_9_62 & $i(all_9_42) & % 89.17/12.94 $i(all_9_47) & $i(all_9_52) & $i(all_9_57) & $i(all_9_62) & ( ~ (all_9_42 % 89.17/12.94 = e2) | ~ (unit = e2)) & ( ~ (all_9_47 = e2) | ~ (unit = e2)) & ( ~ % 89.17/12.94 (all_9_52 = e2) | ~ (unit = e2)) & ( ~ (all_9_57 = e2) | ~ (unit = % 89.17/12.94 e2)) & ( ~ (all_9_62 = e2) | ~ (unit = e2)) & ((all_9_42 = e4 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_40 = e2) & op(e4, e4) = all_9_40 & % 89.17/12.94 $i(all_9_40))) & ((all_9_42 = e3 & ~ (unit = e2)) | ( ~ (all_9_41 = % 89.17/12.94 e2) & op(e4, e3) = all_9_41 & $i(all_9_41))) & ((all_9_42 = e1 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_43 = e2) & op(e4, e1) = all_9_43 & % 89.17/12.94 $i(all_9_43))) & ((all_9_42 = e0 & ~ (unit = e2)) | ( ~ (all_9_44 = % 89.17/12.94 e2) & op(e4, e0) = all_9_44 & $i(all_9_44))) & ((all_9_47 = e4 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_45 = e2) & op(e3, e4) = all_9_45 & % 89.17/12.94 $i(all_9_45))) & ((all_9_47 = e3 & ~ (unit = e2)) | ( ~ (all_9_46 = % 89.17/12.94 e2) & op(e3, e3) = all_9_46 & $i(all_9_46))) & ((all_9_47 = e1 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_48 = e2) & op(e3, e1) = all_9_48 & % 89.17/12.94 $i(all_9_48))) & ((all_9_47 = e0 & ~ (unit = e2)) | ( ~ (all_9_49 = % 89.17/12.94 e2) & op(e3, e0) = all_9_49 & $i(all_9_49))) & ((all_9_52 = e4 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_50 = e2) & op(e2, e4) = all_9_50 & % 89.17/12.94 $i(all_9_50))) & ((all_9_52 = e3 & ~ (unit = e2)) | ( ~ (all_9_51 = % 89.17/12.94 e2) & op(e2, e3) = all_9_51 & $i(all_9_51))) & ((all_9_52 = e1 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_53 = e2) & op(e2, e1) = all_9_53 & % 89.17/12.94 $i(all_9_53))) & ((all_9_52 = e0 & ~ (unit = e2)) | ( ~ (all_9_54 = % 89.17/12.94 e2) & op(e2, e0) = all_9_54 & $i(all_9_54))) & ((all_9_57 = e4 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_55 = e2) & op(e1, e4) = all_9_55 & % 89.17/12.94 $i(all_9_55))) & ((all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 = % 89.17/12.94 e2) & op(e1, e3) = all_9_56 & $i(all_9_56))) & ((all_9_57 = e1 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_58 = e2) & op(e1, e1) = all_9_58 & % 89.17/12.94 $i(all_9_58))) & ((all_9_57 = e0 & ~ (unit = e2)) | ( ~ (all_9_59 = % 89.17/12.94 e2) & op(e1, e0) = all_9_59 & $i(all_9_59))) & ((all_9_62 = e4 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_60 = e2) & op(e0, e4) = all_9_60 & % 89.17/12.94 $i(all_9_60))) & ((all_9_62 = e3 & ~ (unit = e2)) | ( ~ (all_9_61 = % 89.17/12.94 e2) & op(e0, e3) = all_9_61 & $i(all_9_61))) & ((all_9_62 = e1 & ~ % 89.17/12.94 (unit = e2)) | ( ~ (all_9_63 = e2) & op(e0, e1) = all_9_63 & % 89.17/12.94 $i(all_9_63))) & ((all_9_62 = e0 & ~ (unit = e2)) | ( ~ (all_9_64 = % 89.17/12.94 e2) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.94 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | ALPHA: (4) implies: % 89.17/12.94 | (6) op(e1, e2) = all_9_57 % 89.17/12.94 | (7) (all_9_57 = e3 & ~ (unit = e2)) | ( ~ (all_9_56 = e2) & op(e1, e3) = % 89.17/12.94 | all_9_56 & $i(all_9_56)) % 89.17/12.94 | % 89.17/12.94 | BETA: splitting (7) gives: % 89.17/12.94 | % 89.17/12.94 | Case 1: % 89.17/12.94 | | % 89.17/12.94 | | (8) all_9_57 = e3 & ~ (unit = e2) % 89.17/12.94 | | % 89.17/12.94 | | ALPHA: (8) implies: % 89.17/12.94 | | (9) all_9_57 = e3 % 89.17/12.94 | | % 89.17/12.94 | | REDUCE: (6), (9) imply: % 89.17/12.94 | | (10) op(e1, e2) = e3 % 89.17/12.94 | | % 89.17/12.94 | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #56. % 89.17/12.94 | | % 89.17/12.94 | Case 2: % 89.17/12.94 | | % 89.17/12.94 | | (11) ~ (all_9_56 = e2) & op(e1, e3) = all_9_56 & $i(all_9_56) % 89.17/12.94 | | % 89.17/12.94 | | ALPHA: (11) implies: % 89.17/12.94 | | (12) ~ (all_9_56 = e2) % 89.17/12.94 | | (13) op(e1, e3) = all_9_56 % 89.17/12.94 | | % 89.17/12.94 | | REF_CLOSE: (3), (5), (12), (13) are inconsistent by sub-proof #55. % 89.17/12.94 | | % 89.17/12.94 | End of split % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #55 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.94 (2) op(e1, e3) = all_9_56 % 89.17/12.94 (3) op(e1, e3) = e2 % 89.17/12.94 (4) ~ (all_9_56 = e2) % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | GROUND_INST: instantiating (1) with e2, all_9_56, e3, e1, simplifying with % 89.17/12.94 | (2), (3) gives: % 89.17/12.94 | (5) all_9_56 = e2 % 89.17/12.94 | % 89.17/12.94 | REDUCE: (4), (5) imply: % 89.17/12.94 | (6) $false % 89.17/12.94 | % 89.17/12.94 | CLOSE: (6) is inconsistent. % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #56 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.94 (2) op(e1, e2) = e4 % 89.17/12.94 (3) op(e1, e2) = e3 % 89.17/12.94 (4) ~ (e4 = e3) % 89.17/12.94 % 89.17/12.94 Begin of proof % 89.17/12.94 | % 89.17/12.94 | GROUND_INST: instantiating (1) with e4, e3, e2, e1, simplifying with (2), (3) % 89.17/12.94 | gives: % 89.17/12.94 | (5) e4 = e3 % 89.17/12.94 | % 89.17/12.94 | REDUCE: (4), (5) imply: % 89.17/12.94 | (6) $false % 89.17/12.94 | % 89.17/12.94 | CLOSE: (6) is inconsistent. % 89.17/12.94 | % 89.17/12.94 End of proof % 89.17/12.94 % 89.17/12.94 Sub-proof #57 shows that the following formulas are inconsistent: % 89.17/12.94 ---------------------------------------------------------------- % 89.17/12.94 (1) op(e1, e2) = e4 % 89.17/12.94 (2) op(e1, e4) = e3 % 89.17/12.94 (3) ~ (e2 = e0) % 89.17/12.94 (4) op(e2, e2) = e3 % 89.17/12.95 (5) (op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 & % 89.17/12.95 op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 89.17/12.95 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ % 89.17/12.95 (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit = % 89.17/12.95 e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = e4) % 89.17/12.95 | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & % 89.17/12.95 ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = % 89.17/12.95 all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_42 = e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.95 ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) = % 89.17/12.95 all_9_43 & $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_44 = e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.95 ((all_9_45 = e3 & ~ (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) = % 89.17/12.95 all_9_46 & $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_47 = e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.95 ((all_9_45 = e1 & ~ (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = % 89.17/12.95 all_9_48 & $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_49 = e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.95 ((all_9_50 = e3 & ~ (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) = % 89.17/12.95 all_9_51 & $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_52 = e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.95 ((all_9_50 = e1 & ~ (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) = % 89.17/12.95 all_9_53 & $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_54 = e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.95 ((all_9_55 = e3 & ~ (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = % 89.17/12.95 all_9_56 & $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.95 ((all_9_55 = e1 & ~ (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) = % 89.17/12.95 all_9_58 & $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_59 = e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.95 ((all_9_60 = e3 & ~ (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) = % 89.17/12.95 all_9_61 & $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_62 = e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.95 ((all_9_60 = e1 & ~ (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = % 89.17/12.95 all_9_63 & $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ % 89.17/12.95 (all_9_64 = e4) & op(e0, e0) = all_9_64 & $i(all_9_64)))) | (op(e4, % 89.17/12.95 e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = all_9_51 & % 89.17/12.95 op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & $i(all_9_41) & % 89.17/12.95 $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & $i(all_9_61) & ( ~ % 89.17/12.95 (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 = e3) | ~ (unit = % 89.17/12.95 e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) & ( ~ (all_9_56 = e3) % 89.17/12.95 | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ (unit = e3)) & % 89.17/12.95 ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = e3) & op(e4, e4) = % 89.17/12.95 all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_42 = e3) & op(e4, e2) = all_9_42 & $i(all_9_42))) & % 89.17/12.95 ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ (all_9_43 = e3) & op(e4, e1) = % 89.17/12.95 all_9_43 & $i(all_9_43))) & ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_44 = e3) & op(e4, e0) = all_9_44 & $i(all_9_44))) & % 89.17/12.95 ((all_9_46 = e4 & ~ (unit = e3)) | ( ~ (all_9_45 = e3) & op(e3, e4) = % 89.17/12.95 all_9_45 & $i(all_9_45))) & ((all_9_46 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_47 = e3) & op(e3, e2) = all_9_47 & $i(all_9_47))) & % 89.17/12.95 ((all_9_46 = e1 & ~ (unit = e3)) | ( ~ (all_9_48 = e3) & op(e3, e1) = % 89.17/12.95 all_9_48 & $i(all_9_48))) & ((all_9_46 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_49 = e3) & op(e3, e0) = all_9_49 & $i(all_9_49))) & % 89.17/12.95 ((all_9_51 = e4 & ~ (unit = e3)) | ( ~ (all_9_50 = e3) & op(e2, e4) = % 89.17/12.95 all_9_50 & $i(all_9_50))) & ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52))) & % 89.17/12.95 ((all_9_51 = e1 & ~ (unit = e3)) | ( ~ (all_9_53 = e3) & op(e2, e1) = % 89.17/12.95 all_9_53 & $i(all_9_53))) & ((all_9_51 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_54 = e3) & op(e2, e0) = all_9_54 & $i(all_9_54))) & % 89.17/12.95 ((all_9_56 = e4 & ~ (unit = e3)) | ( ~ (all_9_55 = e3) & op(e1, e4) = % 89.17/12.95 all_9_55 & $i(all_9_55))) & ((all_9_56 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_57 = e3) & op(e1, e2) = all_9_57 & $i(all_9_57))) & % 89.17/12.95 ((all_9_56 = e1 & ~ (unit = e3)) | ( ~ (all_9_58 = e3) & op(e1, e1) = % 89.17/12.95 all_9_58 & $i(all_9_58))) & ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_59 = e3) & op(e1, e0) = all_9_59 & $i(all_9_59))) & % 89.17/12.95 ((all_9_61 = e4 & ~ (unit = e3)) | ( ~ (all_9_60 = e3) & op(e0, e4) = % 89.17/12.95 all_9_60 & $i(all_9_60))) & ((all_9_61 = e2 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_62 = e3) & op(e0, e2) = all_9_62 & $i(all_9_62))) & % 89.17/12.95 ((all_9_61 = e1 & ~ (unit = e3)) | ( ~ (all_9_63 = e3) & op(e0, e1) = % 89.17/12.95 all_9_63 & $i(all_9_63))) & ((all_9_61 = e0 & ~ (unit = e3)) | ( ~ % 89.17/12.95 (all_9_64 = e3) & op(e0, e0) = all_9_64 & $i(all_9_64)))) % 89.17/12.95 (6) all_6_11 = e2 | ~ (op(e2, e3) = e2) % 89.17/12.95 (7) all_6_11 = e0 % 89.17/12.95 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.95 (9) ~ (e3 = e2) % 89.17/12.95 % 89.17/12.95 Begin of proof % 89.17/12.95 | % 89.17/12.95 | BETA: splitting (5) gives: % 89.17/12.95 | % 89.17/12.95 | Case 1: % 89.17/12.95 | | % 89.17/12.95 | | (10) op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = % 89.17/12.95 | | all_9_50 & op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & % 89.17/12.95 | | $i(all_9_40) & $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & % 89.17/12.95 | | $i(all_9_60) & ( ~ (all_9_40 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 % 89.17/12.95 | | = e4) | ~ (unit = e4)) & ( ~ (all_9_50 = e4) | ~ (unit = e4)) % 89.17/12.95 | | & ( ~ (all_9_55 = e4) | ~ (unit = e4)) & ( ~ (all_9_60 = e4) | ~ % 89.17/12.95 | | (unit = e4)) & ((all_9_40 = e3 & ~ (unit = e4)) | ( ~ (all_9_41 = % 89.17/12.95 | | e4) & op(e4, e3) = all_9_41 & $i(all_9_41))) & ((all_9_40 = e2 % 89.17/12.95 | | & ~ (unit = e4)) | ( ~ (all_9_42 = e4) & op(e4, e2) = all_9_42 % 89.17/12.95 | | & $i(all_9_42))) & ((all_9_40 = e1 & ~ (unit = e4)) | ( ~ % 89.17/12.95 | | (all_9_43 = e4) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 89.17/12.95 | | ((all_9_40 = e0 & ~ (unit = e4)) | ( ~ (all_9_44 = e4) & op(e4, e0) % 89.17/12.95 | | = all_9_44 & $i(all_9_44))) & ((all_9_45 = e3 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_46 = e4) & op(e3, e3) = all_9_46 & $i(all_9_46))) & % 89.17/12.95 | | ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ (all_9_47 = e4) & op(e3, e2) % 89.17/12.95 | | = all_9_47 & $i(all_9_47))) & ((all_9_45 = e1 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_48 = e4) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.95 | | ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ (all_9_49 = e4) & op(e3, e0) % 89.17/12.95 | | = all_9_49 & $i(all_9_49))) & ((all_9_50 = e3 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_51 = e4) & op(e2, e3) = all_9_51 & $i(all_9_51))) & % 89.17/12.95 | | ((all_9_50 = e2 & ~ (unit = e4)) | ( ~ (all_9_52 = e4) & op(e2, e2) % 89.17/12.95 | | = all_9_52 & $i(all_9_52))) & ((all_9_50 = e1 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_53 = e4) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.95 | | ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ (all_9_54 = e4) & op(e2, e0) % 89.17/12.95 | | = all_9_54 & $i(all_9_54))) & ((all_9_55 = e3 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_56 = e4) & op(e1, e3) = all_9_56 & $i(all_9_56))) & % 89.17/12.95 | | ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ (all_9_57 = e4) & op(e1, e2) % 89.17/12.95 | | = all_9_57 & $i(all_9_57))) & ((all_9_55 = e1 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_58 = e4) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 89.17/12.95 | | ((all_9_55 = e0 & ~ (unit = e4)) | ( ~ (all_9_59 = e4) & op(e1, e0) % 89.17/12.95 | | = all_9_59 & $i(all_9_59))) & ((all_9_60 = e3 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_61 = e4) & op(e0, e3) = all_9_61 & $i(all_9_61))) & % 89.17/12.95 | | ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ (all_9_62 = e4) & op(e0, e2) % 89.17/12.95 | | = all_9_62 & $i(all_9_62))) & ((all_9_60 = e1 & ~ (unit = e4)) % 89.17/12.95 | | | ( ~ (all_9_63 = e4) & op(e0, e1) = all_9_63 & $i(all_9_63))) & % 89.17/12.95 | | ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ (all_9_64 = e4) & op(e0, e0) % 89.17/12.95 | | = all_9_64 & $i(all_9_64))) % 89.17/12.95 | | % 89.17/12.95 | | REF_CLOSE: (1), (2), (8), (9), (10) are inconsistent by sub-proof #59. % 89.17/12.95 | | % 89.17/12.95 | Case 2: % 89.17/12.95 | | % 89.17/12.95 | | (11) op(e4, e3) = all_9_41 & op(e3, e3) = all_9_46 & op(e2, e3) = % 89.17/12.95 | | all_9_51 & op(e1, e3) = all_9_56 & op(e0, e3) = all_9_61 & % 89.17/12.95 | | $i(all_9_41) & $i(all_9_46) & $i(all_9_51) & $i(all_9_56) & % 89.17/12.95 | | $i(all_9_61) & ( ~ (all_9_41 = e3) | ~ (unit = e3)) & ( ~ (all_9_46 % 89.17/12.95 | | = e3) | ~ (unit = e3)) & ( ~ (all_9_51 = e3) | ~ (unit = e3)) % 89.17/12.95 | | & ( ~ (all_9_56 = e3) | ~ (unit = e3)) & ( ~ (all_9_61 = e3) | ~ % 89.17/12.95 | | (unit = e3)) & ((all_9_41 = e4 & ~ (unit = e3)) | ( ~ (all_9_40 = % 89.17/12.95 | | e3) & op(e4, e4) = all_9_40 & $i(all_9_40))) & ((all_9_41 = e2 % 89.17/12.95 | | & ~ (unit = e3)) | ( ~ (all_9_42 = e3) & op(e4, e2) = all_9_42 % 89.17/12.95 | | & $i(all_9_42))) & ((all_9_41 = e1 & ~ (unit = e3)) | ( ~ % 89.17/12.95 | | (all_9_43 = e3) & op(e4, e1) = all_9_43 & $i(all_9_43))) & % 89.17/12.95 | | ((all_9_41 = e0 & ~ (unit = e3)) | ( ~ (all_9_44 = e3) & op(e4, e0) % 89.17/12.95 | | = all_9_44 & $i(all_9_44))) & ((all_9_46 = e4 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_45 = e3) & op(e3, e4) = all_9_45 & $i(all_9_45))) & % 89.17/12.95 | | ((all_9_46 = e2 & ~ (unit = e3)) | ( ~ (all_9_47 = e3) & op(e3, e2) % 89.17/12.95 | | = all_9_47 & $i(all_9_47))) & ((all_9_46 = e1 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_48 = e3) & op(e3, e1) = all_9_48 & $i(all_9_48))) & % 89.17/12.95 | | ((all_9_46 = e0 & ~ (unit = e3)) | ( ~ (all_9_49 = e3) & op(e3, e0) % 89.17/12.95 | | = all_9_49 & $i(all_9_49))) & ((all_9_51 = e4 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_50 = e3) & op(e2, e4) = all_9_50 & $i(all_9_50))) & % 89.17/12.95 | | ((all_9_51 = e2 & ~ (unit = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) % 89.17/12.95 | | = all_9_52 & $i(all_9_52))) & ((all_9_51 = e1 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_53 = e3) & op(e2, e1) = all_9_53 & $i(all_9_53))) & % 89.17/12.95 | | ((all_9_51 = e0 & ~ (unit = e3)) | ( ~ (all_9_54 = e3) & op(e2, e0) % 89.17/12.95 | | = all_9_54 & $i(all_9_54))) & ((all_9_56 = e4 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_55 = e3) & op(e1, e4) = all_9_55 & $i(all_9_55))) & % 89.17/12.95 | | ((all_9_56 = e2 & ~ (unit = e3)) | ( ~ (all_9_57 = e3) & op(e1, e2) % 89.17/12.95 | | = all_9_57 & $i(all_9_57))) & ((all_9_56 = e1 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_58 = e3) & op(e1, e1) = all_9_58 & $i(all_9_58))) & % 89.17/12.95 | | ((all_9_56 = e0 & ~ (unit = e3)) | ( ~ (all_9_59 = e3) & op(e1, e0) % 89.17/12.95 | | = all_9_59 & $i(all_9_59))) & ((all_9_61 = e4 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_60 = e3) & op(e0, e4) = all_9_60 & $i(all_9_60))) & % 89.17/12.95 | | ((all_9_61 = e2 & ~ (unit = e3)) | ( ~ (all_9_62 = e3) & op(e0, e2) % 89.17/12.95 | | = all_9_62 & $i(all_9_62))) & ((all_9_61 = e1 & ~ (unit = e3)) % 89.17/12.95 | | | ( ~ (all_9_63 = e3) & op(e0, e1) = all_9_63 & $i(all_9_63))) & % 89.17/12.95 | | ((all_9_61 = e0 & ~ (unit = e3)) | ( ~ (all_9_64 = e3) & op(e0, e0) % 89.17/12.95 | | = all_9_64 & $i(all_9_64))) % 89.17/12.95 | | % 89.17/12.95 | | ALPHA: (11) implies: % 89.17/12.95 | | (12) op(e2, e3) = all_9_51 % 89.17/12.96 | | (13) (all_9_51 = e2 & ~ (unit = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) % 89.17/12.96 | | = all_9_52 & $i(all_9_52)) % 89.17/12.96 | | % 89.17/12.96 | | BETA: splitting (6) gives: % 89.17/12.96 | | % 89.17/12.96 | | Case 1: % 89.17/12.96 | | | % 89.17/12.96 | | | (14) ~ (op(e2, e3) = e2) % 89.17/12.96 | | | % 89.17/12.96 | | | REF_CLOSE: (4), (8), (12), (13), (14) are inconsistent by sub-proof #58. % 89.17/12.96 | | | % 89.17/12.96 | | Case 2: % 89.17/12.96 | | | % 89.17/12.96 | | | (15) all_6_11 = e2 % 89.17/12.96 | | | % 89.17/12.96 | | | COMBINE_EQS: (7), (15) imply: % 89.17/12.96 | | | (16) e2 = e0 % 89.17/12.96 | | | % 89.17/12.96 | | | REDUCE: (3), (16) imply: % 89.17/12.96 | | | (17) $false % 89.17/12.96 | | | % 89.17/12.96 | | | CLOSE: (17) is inconsistent. % 89.17/12.96 | | | % 89.17/12.96 | | End of split % 89.17/12.96 | | % 89.17/12.96 | End of split % 89.17/12.96 | % 89.17/12.96 End of proof % 89.17/12.96 % 89.17/12.96 Sub-proof #58 shows that the following formulas are inconsistent: % 89.17/12.96 ---------------------------------------------------------------- % 89.17/12.96 (1) ~ (op(e2, e3) = e2) % 89.17/12.96 (2) (all_9_51 = e2 & ~ (unit = e3)) | ( ~ (all_9_52 = e3) & op(e2, e2) = % 89.17/12.96 all_9_52 & $i(all_9_52)) % 89.17/12.96 (3) op(e2, e3) = all_9_51 % 89.17/12.96 (4) op(e2, e2) = e3 % 89.17/12.96 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.96 % 89.17/12.96 Begin of proof % 89.17/12.96 | % 89.17/12.96 | BETA: splitting (2) gives: % 89.17/12.96 | % 89.17/12.96 | Case 1: % 89.17/12.96 | | % 89.17/12.96 | | (6) all_9_51 = e2 & ~ (unit = e3) % 89.17/12.96 | | % 89.17/12.96 | | ALPHA: (6) implies: % 89.17/12.96 | | (7) all_9_51 = e2 % 89.17/12.96 | | % 89.17/12.96 | | REDUCE: (3), (7) imply: % 89.17/12.96 | | (8) op(e2, e3) = e2 % 89.17/12.96 | | % 89.17/12.96 | | PRED_UNIFY: (1), (8) imply: % 89.17/12.96 | | (9) $false % 89.17/12.96 | | % 89.17/12.96 | | CLOSE: (9) is inconsistent. % 89.17/12.96 | | % 89.17/12.96 | Case 2: % 89.17/12.96 | | % 89.17/12.96 | | (10) ~ (all_9_52 = e3) & op(e2, e2) = all_9_52 & $i(all_9_52) % 89.17/12.96 | | % 89.17/12.96 | | ALPHA: (10) implies: % 89.17/12.96 | | (11) ~ (all_9_52 = e3) % 89.17/12.96 | | (12) op(e2, e2) = all_9_52 % 89.17/12.96 | | % 89.17/12.96 | | GROUND_INST: instantiating (5) with e3, all_9_52, e2, e2, simplifying with % 89.17/12.96 | | (4), (12) gives: % 89.17/12.96 | | (13) all_9_52 = e3 % 89.17/12.96 | | % 89.17/12.96 | | REDUCE: (11), (13) imply: % 89.17/12.96 | | (14) $false % 89.17/12.96 | | % 89.17/12.96 | | CLOSE: (14) is inconsistent. % 89.17/12.96 | | % 89.17/12.96 | End of split % 89.17/12.96 | % 89.17/12.96 End of proof % 89.17/12.96 % 89.17/12.96 Sub-proof #59 shows that the following formulas are inconsistent: % 89.17/12.96 ---------------------------------------------------------------- % 89.17/12.96 (1) op(e1, e2) = e4 % 89.17/12.96 (2) op(e1, e4) = e3 % 89.17/12.96 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.96 (4) ~ (e3 = e2) % 89.17/12.96 (5) op(e4, e4) = all_9_40 & op(e3, e4) = all_9_45 & op(e2, e4) = all_9_50 & % 89.17/12.96 op(e1, e4) = all_9_55 & op(e0, e4) = all_9_60 & $i(all_9_40) & % 89.17/12.96 $i(all_9_45) & $i(all_9_50) & $i(all_9_55) & $i(all_9_60) & ( ~ (all_9_40 % 89.17/12.96 = e4) | ~ (unit = e4)) & ( ~ (all_9_45 = e4) | ~ (unit = e4)) & ( ~ % 89.17/12.96 (all_9_50 = e4) | ~ (unit = e4)) & ( ~ (all_9_55 = e4) | ~ (unit = % 89.17/12.96 e4)) & ( ~ (all_9_60 = e4) | ~ (unit = e4)) & ((all_9_40 = e3 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_41 = e4) & op(e4, e3) = all_9_41 & % 89.17/12.96 $i(all_9_41))) & ((all_9_40 = e2 & ~ (unit = e4)) | ( ~ (all_9_42 = % 89.17/12.96 e4) & op(e4, e2) = all_9_42 & $i(all_9_42))) & ((all_9_40 = e1 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_43 = e4) & op(e4, e1) = all_9_43 & % 89.17/12.96 $i(all_9_43))) & ((all_9_40 = e0 & ~ (unit = e4)) | ( ~ (all_9_44 = % 89.17/12.96 e4) & op(e4, e0) = all_9_44 & $i(all_9_44))) & ((all_9_45 = e3 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_46 = e4) & op(e3, e3) = all_9_46 & % 89.17/12.96 $i(all_9_46))) & ((all_9_45 = e2 & ~ (unit = e4)) | ( ~ (all_9_47 = % 89.17/12.96 e4) & op(e3, e2) = all_9_47 & $i(all_9_47))) & ((all_9_45 = e1 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_48 = e4) & op(e3, e1) = all_9_48 & % 89.17/12.96 $i(all_9_48))) & ((all_9_45 = e0 & ~ (unit = e4)) | ( ~ (all_9_49 = % 89.17/12.96 e4) & op(e3, e0) = all_9_49 & $i(all_9_49))) & ((all_9_50 = e3 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_51 = e4) & op(e2, e3) = all_9_51 & % 89.17/12.96 $i(all_9_51))) & ((all_9_50 = e2 & ~ (unit = e4)) | ( ~ (all_9_52 = % 89.17/12.96 e4) & op(e2, e2) = all_9_52 & $i(all_9_52))) & ((all_9_50 = e1 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_53 = e4) & op(e2, e1) = all_9_53 & % 89.17/12.96 $i(all_9_53))) & ((all_9_50 = e0 & ~ (unit = e4)) | ( ~ (all_9_54 = % 89.17/12.96 e4) & op(e2, e0) = all_9_54 & $i(all_9_54))) & ((all_9_55 = e3 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_56 = e4) & op(e1, e3) = all_9_56 & % 89.17/12.96 $i(all_9_56))) & ((all_9_55 = e2 & ~ (unit = e4)) | ( ~ (all_9_57 = % 89.17/12.96 e4) & op(e1, e2) = all_9_57 & $i(all_9_57))) & ((all_9_55 = e1 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_58 = e4) & op(e1, e1) = all_9_58 & % 89.17/12.96 $i(all_9_58))) & ((all_9_55 = e0 & ~ (unit = e4)) | ( ~ (all_9_59 = % 89.17/12.96 e4) & op(e1, e0) = all_9_59 & $i(all_9_59))) & ((all_9_60 = e3 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_61 = e4) & op(e0, e3) = all_9_61 & % 89.17/12.96 $i(all_9_61))) & ((all_9_60 = e2 & ~ (unit = e4)) | ( ~ (all_9_62 = % 89.17/12.96 e4) & op(e0, e2) = all_9_62 & $i(all_9_62))) & ((all_9_60 = e1 & ~ % 89.17/12.96 (unit = e4)) | ( ~ (all_9_63 = e4) & op(e0, e1) = all_9_63 & % 89.17/12.96 $i(all_9_63))) & ((all_9_60 = e0 & ~ (unit = e4)) | ( ~ (all_9_64 = % 89.17/12.96 e4) & op(e0, e0) = all_9_64 & $i(all_9_64))) % 89.17/12.96 % 89.17/12.96 Begin of proof % 89.17/12.96 | % 89.17/12.96 | ALPHA: (5) implies: % 89.17/12.96 | (6) op(e1, e4) = all_9_55 % 89.17/12.96 | (7) (all_9_55 = e2 & ~ (unit = e4)) | ( ~ (all_9_57 = e4) & op(e1, e2) = % 89.17/12.96 | all_9_57 & $i(all_9_57)) % 89.17/12.96 | % 89.17/12.96 | BETA: splitting (7) gives: % 89.17/12.96 | % 89.17/12.96 | Case 1: % 89.17/12.96 | | % 89.17/12.96 | | (8) all_9_55 = e2 & ~ (unit = e4) % 89.17/12.96 | | % 89.17/12.96 | | ALPHA: (8) implies: % 89.17/12.96 | | (9) all_9_55 = e2 % 89.17/12.96 | | % 89.17/12.96 | | REDUCE: (6), (9) imply: % 89.17/12.96 | | (10) op(e1, e4) = e2 % 89.17/12.96 | | % 89.17/12.96 | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #60. % 89.17/12.96 | | % 89.17/12.96 | Case 2: % 89.17/12.96 | | % 89.17/12.96 | | (11) ~ (all_9_57 = e4) & op(e1, e2) = all_9_57 & $i(all_9_57) % 89.17/12.96 | | % 89.17/12.96 | | ALPHA: (11) implies: % 89.17/12.96 | | (12) ~ (all_9_57 = e4) % 89.17/12.96 | | (13) op(e1, e2) = all_9_57 % 89.17/12.96 | | % 89.17/12.96 | | GROUND_INST: instantiating (3) with e4, all_9_57, e2, e1, simplifying with % 89.17/12.96 | | (1), (13) gives: % 89.17/12.96 | | (14) all_9_57 = e4 % 89.17/12.96 | | % 89.17/12.96 | | REDUCE: (12), (14) imply: % 89.17/12.96 | | (15) $false % 89.17/12.96 | | % 89.17/12.96 | | CLOSE: (15) is inconsistent. % 89.17/12.96 | | % 89.17/12.96 | End of split % 89.17/12.96 | % 89.17/12.96 End of proof % 89.17/12.96 % 89.17/12.96 Sub-proof #60 shows that the following formulas are inconsistent: % 89.17/12.96 ---------------------------------------------------------------- % 89.17/12.96 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.17/12.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.17/12.96 (2) op(e1, e4) = e3 % 89.17/12.96 (3) op(e1, e4) = e2 % 89.17/12.96 (4) ~ (e3 = e2) % 89.17/12.96 % 89.17/12.96 Begin of proof % 89.17/12.96 | % 89.17/12.96 | GROUND_INST: instantiating (1) with e3, e2, e4, e1, simplifying with (2), (3) % 89.17/12.96 | gives: % 89.17/12.96 | (5) e3 = e2 % 89.17/12.96 | % 89.17/12.96 | REDUCE: (4), (5) imply: % 89.17/12.96 | (6) $false % 89.17/12.96 | % 89.17/12.96 | CLOSE: (6) is inconsistent. % 89.17/12.96 | % 89.17/12.96 End of proof % 89.17/12.96 % 89.17/12.96 Sub-proof #61 shows that the following formulas are inconsistent: % 89.17/12.96 ---------------------------------------------------------------- % 89.17/12.96 (1) all_8_16 = e2 & op(e4, e0) = e2 % 89.17/12.96 (2) all_8_16 = e4 % 89.17/12.96 (3) ~ (e4 = e2) % 89.17/12.96 % 89.17/12.96 Begin of proof % 89.17/12.96 | % 89.17/12.96 | ALPHA: (1) implies: % 89.17/12.96 | (4) all_8_16 = e2 % 89.17/12.96 | % 89.17/12.96 | COMBINE_EQS: (2), (4) imply: % 89.17/12.96 | (5) e4 = e2 % 89.17/12.96 | % 89.17/12.96 | REDUCE: (3), (5) imply: % 89.17/12.96 | (6) $false % 89.17/12.96 | % 89.17/12.96 | CLOSE: (6) is inconsistent. % 89.17/12.96 | % 89.17/12.96 End of proof % 89.17/12.96 % 89.17/12.96 Sub-proof #62 shows that the following formulas are inconsistent: % 89.17/12.96 ---------------------------------------------------------------- % 89.17/12.96 (1) ~ (e3 = e1) % 89.17/12.96 (2) ~ (e2 = e0) % 89.17/12.96 (3) all_8_3 = e4 % 89.17/12.96 (4) ~ (e2 = e1) % 89.17/12.96 (5) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 89.17/12.96 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 89.17/12.96 (all_8_17 = e3 & op(e3, e0) = e3) % 89.17/12.96 (6) all_8_17 = e1 % 89.17/12.96 (7) e2 = e1 | ~ (op(e3, e2) = e2) % 89.17/12.96 (8) ~ (e4 = e3) % 89.17/12.96 (9) ~ (e3 = e0) % 89.17/12.96 (10) all_8_2 = e0 % 89.17/12.96 (11) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 89.17/12.96 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 89.17/12.96 (all_8_17 = e2 & op(e3, e0) = e2) % 89.17/12.96 (12) e3 = e1 | ~ (op(e3, e2) = e3) % 89.17/12.96 (13) ~ (e3 = e2) % 89.17/12.96 (14) ~ (e4 = e2) % 89.17/12.96 % 89.17/12.96 Begin of proof % 89.17/12.96 | % 89.17/12.96 | BETA: splitting (5) gives: % 89.17/12.96 | % 89.17/12.96 | Case 1: % 89.17/12.96 | | % 89.17/12.96 | | (15) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) % 89.17/12.96 | | % 89.17/12.96 | | BETA: splitting (15) gives: % 89.17/12.96 | | % 89.17/12.96 | | Case 1: % 89.17/12.96 | | | % 89.17/12.96 | | | (16) all_8_2 = e3 & op(e3, e4) = e3 % 89.17/12.96 | | | % 89.17/12.96 | | | REF_CLOSE: (9), (10), (16) are inconsistent by sub-proof #76. % 89.17/12.96 | | | % 89.17/12.96 | | Case 2: % 89.17/12.96 | | | % 89.17/12.96 | | | (17) all_8_3 = e3 & op(e3, e3) = e3 % 89.17/12.96 | | | % 89.17/12.96 | | | REF_CLOSE: (3), (8), (17) are inconsistent by sub-proof #113. % 89.17/12.96 | | | % 89.17/12.96 | | End of split % 89.17/12.96 | | % 89.17/12.96 | Case 2: % 89.17/12.96 | | % 89.17/12.96 | | (18) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) % 89.17/12.96 | | | (all_8_17 = e3 & op(e3, e0) = e3) % 89.17/12.96 | | % 89.17/12.96 | | BETA: splitting (18) gives: % 89.17/12.96 | | % 89.17/12.96 | | Case 1: % 89.17/12.96 | | | % 89.17/12.96 | | | (19) all_8_5 = e3 & op(e3, e2) = e3 % 89.17/12.96 | | | % 89.17/12.96 | | | REF_CLOSE: (1), (12), (19) are inconsistent by sub-proof #112. % 89.17/12.96 | | | % 89.17/12.96 | | Case 2: % 89.17/12.96 | | | % 89.17/12.96 | | | (20) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 & op(e3, e0) = % 89.17/12.96 | | | e3) % 89.17/12.96 | | | % 89.17/12.96 | | | BETA: splitting (20) gives: % 89.17/12.96 | | | % 89.17/12.96 | | | Case 1: % 89.17/12.96 | | | | % 89.17/12.96 | | | | (21) all_8_10 = e3 & op(e3, e1) = e3 % 89.17/12.96 | | | | % 89.17/12.96 | | | | ALPHA: (21) implies: % 89.17/12.96 | | | | (22) all_8_10 = e3 % 89.17/12.96 | | | | % 89.17/12.96 | | | | BETA: splitting (11) gives: % 89.17/12.96 | | | | % 89.17/12.96 | | | | Case 1: % 89.17/12.96 | | | | | % 89.17/12.96 | | | | | (23) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) % 89.17/12.96 | | | | | = e2) % 89.17/12.96 | | | | | % 89.17/12.96 | | | | | BETA: splitting (23) gives: % 89.17/12.96 | | | | | % 89.17/12.96 | | | | | Case 1: % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | | (24) all_8_2 = e2 & op(e3, e4) = e2 % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | | REF_CLOSE: (2), (10), (24) are inconsistent by sub-proof #65. % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | Case 2: % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | | (25) all_8_3 = e2 & op(e3, e3) = e2 % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | | REF_CLOSE: (3), (14), (25) are inconsistent by sub-proof #109. % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | End of split % 89.17/12.96 | | | | | % 89.17/12.96 | | | | Case 2: % 89.17/12.96 | | | | | % 89.17/12.96 | | | | | (26) (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) % 89.17/12.96 | | | | | = e2) | (all_8_17 = e2 & op(e3, e0) = e2) % 89.17/12.96 | | | | | % 89.17/12.96 | | | | | BETA: splitting (26) gives: % 89.17/12.96 | | | | | % 89.17/12.96 | | | | | Case 1: % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | | (27) all_8_5 = e2 & op(e3, e2) = e2 % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | | ALPHA: (27) implies: % 89.17/12.96 | | | | | | (28) op(e3, e2) = e2 % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | | REF_CLOSE: (4), (7), (28) are inconsistent by sub-proof #108. % 89.17/12.96 | | | | | | % 89.17/12.96 | | | | | Case 2: % 89.17/12.96 | | | | | | % 89.17/12.97 | | | | | | (29) (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 & op(e3, % 89.17/12.97 | | | | | | e0) = e2) % 89.17/12.97 | | | | | | % 89.17/12.97 | | | | | | BETA: splitting (29) gives: % 89.17/12.97 | | | | | | % 89.17/12.97 | | | | | | Case 1: % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | (30) all_8_10 = e2 & op(e3, e1) = e2 % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | ALPHA: (30) implies: % 89.17/12.97 | | | | | | | (31) all_8_10 = e2 % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | REF_CLOSE: (13), (22), (31) are inconsistent by sub-proof #64. % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | Case 2: % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | (32) all_8_17 = e2 & op(e3, e0) = e2 % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | ALPHA: (32) implies: % 89.17/12.97 | | | | | | | (33) all_8_17 = e2 % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | COMBINE_EQS: (6), (33) imply: % 89.17/12.97 | | | | | | | (34) e2 = e1 % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | SIMP: (34) implies: % 89.17/12.97 | | | | | | | (35) e2 = e1 % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | REDUCE: (4), (35) imply: % 89.17/12.97 | | | | | | | (36) $false % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | | CLOSE: (36) is inconsistent. % 89.17/12.97 | | | | | | | % 89.17/12.97 | | | | | | End of split % 89.17/12.97 | | | | | | % 89.17/12.97 | | | | | End of split % 89.17/12.97 | | | | | % 89.17/12.97 | | | | End of split % 89.17/12.97 | | | | % 89.17/12.97 | | | Case 2: % 89.17/12.97 | | | | % 89.17/12.97 | | | | (37) all_8_17 = e3 & op(e3, e0) = e3 % 89.17/12.97 | | | | % 89.17/12.97 | | | | REF_CLOSE: (1), (6), (37) are inconsistent by sub-proof #63. % 89.17/12.97 | | | | % 89.17/12.97 | | | End of split % 89.17/12.97 | | | % 89.17/12.97 | | End of split % 89.17/12.97 | | % 89.17/12.97 | End of split % 89.17/12.97 | % 89.17/12.97 End of proof % 89.17/12.97 % 89.17/12.97 Sub-proof #63 shows that the following formulas are inconsistent: % 89.17/12.97 ---------------------------------------------------------------- % 89.17/12.97 (1) all_8_17 = e3 & op(e3, e0) = e3 % 89.17/12.97 (2) all_8_17 = e1 % 89.17/12.97 (3) ~ (e3 = e1) % 89.17/12.97 % 89.17/12.97 Begin of proof % 89.17/12.97 | % 89.17/12.97 | ALPHA: (1) implies: % 89.17/12.97 | (4) all_8_17 = e3 % 89.17/12.97 | % 89.17/12.97 | COMBINE_EQS: (2), (4) imply: % 89.17/12.97 | (5) e3 = e1 % 89.17/12.97 | % 89.17/12.97 | REDUCE: (3), (5) imply: % 89.17/12.97 | (6) $false % 89.17/12.97 | % 89.17/12.97 | CLOSE: (6) is inconsistent. % 89.17/12.97 | % 89.17/12.97 End of proof % 89.17/12.97 % 89.17/12.97 Sub-proof #64 shows that the following formulas are inconsistent: % 89.17/12.97 ---------------------------------------------------------------- % 89.17/12.97 (1) all_8_10 = e3 % 89.17/12.97 (2) all_8_10 = e2 % 89.17/12.97 (3) ~ (e3 = e2) % 89.17/12.97 % 89.17/12.97 Begin of proof % 89.17/12.97 | % 89.17/12.97 | COMBINE_EQS: (1), (2) imply: % 89.17/12.97 | (4) e3 = e2 % 89.17/12.97 | % 89.17/12.97 | SIMP: (4) implies: % 89.17/12.97 | (5) e3 = e2 % 89.17/12.97 | % 89.17/12.97 | REDUCE: (3), (5) imply: % 89.17/12.97 | (6) $false % 89.17/12.97 | % 89.17/12.97 | CLOSE: (6) is inconsistent. % 89.17/12.97 | % 89.17/12.97 End of proof % 89.17/12.97 % 89.17/12.97 Sub-proof #65 shows that the following formulas are inconsistent: % 89.17/12.97 ---------------------------------------------------------------- % 89.17/12.97 (1) all_8_2 = e2 & op(e3, e4) = e2 % 89.17/12.97 (2) all_8_2 = e0 % 89.17/12.97 (3) ~ (e2 = e0) % 89.17/12.97 % 89.17/12.97 Begin of proof % 89.17/12.97 | % 89.17/12.97 | ALPHA: (1) implies: % 89.17/12.97 | (4) all_8_2 = e2 % 89.17/12.97 | % 89.17/12.97 | COMBINE_EQS: (2), (4) imply: % 89.17/12.97 | (5) e2 = e0 % 89.17/12.97 | % 89.17/12.97 | SIMP: (5) implies: % 89.17/12.97 | (6) e2 = e0 % 89.17/12.97 | % 89.17/12.97 | REDUCE: (3), (6) imply: % 89.17/12.97 | (7) $false % 89.17/12.97 | % 89.17/12.97 | CLOSE: (7) is inconsistent. % 89.17/12.97 | % 89.17/12.97 End of proof % 89.17/12.97 % 89.17/12.97 Sub-proof #66 shows that the following formulas are inconsistent: % 89.17/12.97 ---------------------------------------------------------------- % 89.17/12.97 (1) all_8_4 = e4 & op(e4, e2) = e4 % 89.17/12.97 (2) all_8_4 = e0 % 89.17/12.97 (3) ~ (e4 = e0) % 89.17/12.97 % 89.17/12.97 Begin of proof % 89.17/12.97 | % 89.17/12.97 | ALPHA: (1) implies: % 89.17/12.97 | (4) all_8_4 = e4 % 89.17/12.97 | % 89.17/12.97 | COMBINE_EQS: (2), (4) imply: % 89.17/12.97 | (5) e4 = e0 % 89.17/12.97 | % 89.17/12.97 | SIMP: (5) implies: % 89.17/12.97 | (6) e4 = e0 % 89.17/12.97 | % 89.17/12.97 | REDUCE: (3), (6) imply: % 89.17/12.97 | (7) $false % 89.17/12.97 | % 89.17/12.97 | CLOSE: (7) is inconsistent. % 89.17/12.97 | % 89.17/12.97 End of proof % 89.17/12.97 % 89.17/12.97 Sub-proof #67 shows that the following formulas are inconsistent: % 89.17/12.97 ---------------------------------------------------------------- % 89.17/12.97 (1) all_8_20 = e3 & op(e0, e4) = e3 % 89.17/12.97 (2) all_8_20 = e4 % 89.17/12.97 (3) ~ (e4 = e3) % 89.17/12.97 % 89.17/12.97 Begin of proof % 89.17/12.97 | % 89.17/12.97 | ALPHA: (1) implies: % 89.17/12.97 | (4) all_8_20 = e3 % 89.17/12.97 | % 89.17/12.97 | COMBINE_EQS: (2), (4) imply: % 89.17/12.97 | (5) e4 = e3 % 89.17/12.97 | % 89.17/12.97 | REDUCE: (3), (5) imply: % 89.17/12.97 | (6) $false % 89.17/12.97 | % 89.17/12.97 | CLOSE: (6) is inconsistent. % 89.17/12.97 | % 89.17/12.97 End of proof % 89.17/12.97 % 89.17/12.97 Sub-proof #68 shows that the following formulas are inconsistent: % 89.17/12.97 ---------------------------------------------------------------- % 89.17/12.97 (1) all_4_15 = e4 | ~ (op(e4, e1) = e4) % 89.17/12.97 (2) op(e4, e1) = e4 % 89.17/12.97 (3) ~ (all_4_15 = e4) % 89.17/12.97 % 89.17/12.97 Begin of proof % 89.17/12.97 | % 89.17/12.97 | BETA: splitting (1) gives: % 89.17/12.97 | % 89.17/12.97 | Case 1: % 89.17/12.97 | | % 89.17/12.97 | | (4) ~ (op(e4, e1) = e4) % 89.17/12.97 | | % 89.17/12.97 | | PRED_UNIFY: (2), (4) imply: % 89.17/12.97 | | (5) $false % 89.17/12.97 | | % 89.17/12.97 | | CLOSE: (5) is inconsistent. % 89.17/12.97 | | % 89.17/12.97 | Case 2: % 89.17/12.97 | | % 89.17/12.97 | | (6) all_4_15 = e4 % 89.17/12.97 | | % 89.17/12.97 | | REDUCE: (3), (6) imply: % 89.17/12.97 | | (7) $false % 89.17/12.97 | | % 89.17/12.97 | | CLOSE: (7) is inconsistent. % 89.17/12.97 | | % 89.17/12.97 | End of split % 89.17/12.97 | % 89.17/12.97 End of proof % 89.17/12.97 % 89.17/12.97 Sub-proof #69 shows that the following formulas are inconsistent: % 89.17/12.97 ---------------------------------------------------------------- % 89.17/12.97 (1) e1 = e0 | ~ (op(e1, e1) = e1) % 89.17/12.98 (2) op(e1, e1) = e1 % 89.17/12.98 (3) ~ (e1 = e0) % 89.17/12.98 % 89.17/12.98 Begin of proof % 89.17/12.98 | % 89.17/12.98 | BETA: splitting (1) gives: % 89.17/12.98 | % 89.17/12.98 | Case 1: % 89.17/12.98 | | % 89.17/12.98 | | (4) ~ (op(e1, e1) = e1) % 89.17/12.98 | | % 89.17/12.98 | | PRED_UNIFY: (2), (4) imply: % 89.17/12.98 | | (5) $false % 89.17/12.98 | | % 89.17/12.98 | | CLOSE: (5) is inconsistent. % 89.17/12.98 | | % 89.17/12.98 | Case 2: % 89.17/12.98 | | % 89.17/12.98 | | (6) e1 = e0 % 89.17/12.98 | | % 89.17/12.98 | | REDUCE: (3), (6) imply: % 89.17/12.98 | | (7) $false % 89.17/12.98 | | % 89.17/12.98 | | CLOSE: (7) is inconsistent. % 89.17/12.98 | | % 89.17/12.98 | End of split % 89.17/12.98 | % 89.17/12.98 End of proof % 89.17/12.98 % 89.17/12.98 Sub-proof #70 shows that the following formulas are inconsistent: % 89.17/12.98 ---------------------------------------------------------------- % 89.17/12.98 (1) all_8_11 = e1 & op(e2, e1) = e1 % 89.17/12.98 (2) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 89.17/12.98 (3) all_6_13 = all_4_17 % 89.17/12.98 (4) ~ (all_4_17 = e1) % 89.17/12.98 % 89.17/12.98 Begin of proof % 89.17/12.98 | % 89.17/12.98 | ALPHA: (1) implies: % 89.17/12.98 | (5) op(e2, e1) = e1 % 89.17/12.98 | % 89.17/12.98 | BETA: splitting (2) gives: % 89.17/12.98 | % 89.17/12.98 | Case 1: % 89.17/12.98 | | % 89.17/12.98 | | (6) ~ (op(e2, e1) = e1) % 89.17/12.98 | | % 89.17/12.98 | | PRED_UNIFY: (5), (6) imply: % 89.17/12.98 | | (7) $false % 89.17/12.98 | | % 89.17/12.98 | | CLOSE: (7) is inconsistent. % 89.17/12.98 | | % 89.17/12.98 | Case 2: % 89.17/12.98 | | % 89.17/12.98 | | (8) all_6_13 = e1 % 89.17/12.98 | | % 89.17/12.98 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #71. % 89.17/12.98 | | % 89.17/12.98 | End of split % 89.17/12.98 | % 89.17/12.98 End of proof % 89.17/12.98 % 89.17/12.98 Sub-proof #71 shows that the following formulas are inconsistent: % 89.17/12.98 ---------------------------------------------------------------- % 89.17/12.98 (1) all_6_13 = all_4_17 % 89.17/12.98 (2) all_6_13 = e1 % 89.17/12.98 (3) ~ (all_4_17 = e1) % 89.17/12.98 % 89.17/12.98 Begin of proof % 89.17/12.98 | % 89.17/12.98 | COMBINE_EQS: (1), (2) imply: % 89.17/12.98 | (4) all_4_17 = e1 % 89.17/12.98 | % 89.17/12.98 | SIMP: (4) implies: % 89.17/12.98 | (5) all_4_17 = e1 % 89.17/12.98 | % 89.17/12.98 | REDUCE: (3), (5) imply: % 89.17/12.98 | (6) $false % 89.17/12.98 | % 89.17/12.98 | CLOSE: (6) is inconsistent. % 89.17/12.98 | % 89.17/12.98 End of proof % 89.17/12.98 % 89.17/12.98 Sub-proof #72 shows that the following formulas are inconsistent: % 89.17/12.98 ---------------------------------------------------------------- % 89.17/12.98 (1) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 89.17/12.98 (2) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 89.17/12.98 (3) ~ (all_4_15 = e1) % 89.17/12.98 (4) all_6_8 = all_4_16 % 89.17/12.98 (5) all_6_3 = all_4_15 % 89.17/12.98 (6) (all_8_9 = e1 & op(e4, e1) = e1) | (all_8_10 = e1 & op(e3, e1) = e1) % 89.17/12.98 (7) ~ (all_4_16 = e1) % 89.17/12.98 % 89.17/12.98 Begin of proof % 89.17/12.98 | % 89.17/12.98 | BETA: splitting (6) gives: % 89.17/12.98 | % 89.17/12.98 | Case 1: % 89.17/12.98 | | % 89.17/12.98 | | (8) all_8_9 = e1 & op(e4, e1) = e1 % 89.17/12.98 | | % 89.17/12.98 | | ALPHA: (8) implies: % 89.17/12.98 | | (9) op(e4, e1) = e1 % 89.17/12.99 | | % 89.17/12.99 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #88. % 89.17/12.99 | | % 89.17/12.99 | Case 2: % 89.17/12.99 | | % 89.17/12.99 | | (10) all_8_10 = e1 & op(e3, e1) = e1 % 89.17/12.99 | | % 89.17/12.99 | | REF_CLOSE: (1), (4), (7), (10) are inconsistent by sub-proof #73. % 89.17/12.99 | | % 89.17/12.99 | End of split % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #73 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_8_10 = e1 & op(e3, e1) = e1 % 89.17/12.99 (2) all_6_8 = e1 | ~ (op(e3, e1) = e1) % 89.17/12.99 (3) all_6_8 = all_4_16 % 89.17/12.99 (4) ~ (all_4_16 = e1) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | ALPHA: (1) implies: % 89.17/12.99 | (5) op(e3, e1) = e1 % 89.17/12.99 | % 89.17/12.99 | BETA: splitting (2) gives: % 89.17/12.99 | % 89.17/12.99 | Case 1: % 89.17/12.99 | | % 89.17/12.99 | | (6) ~ (op(e3, e1) = e1) % 89.17/12.99 | | % 89.17/12.99 | | PRED_UNIFY: (5), (6) imply: % 89.17/12.99 | | (7) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (7) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | Case 2: % 89.17/12.99 | | % 89.17/12.99 | | (8) all_6_8 = e1 % 89.17/12.99 | | % 89.17/12.99 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #74. % 89.17/12.99 | | % 89.17/12.99 | End of split % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #74 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_6_8 = all_4_16 % 89.17/12.99 (2) all_6_8 = e1 % 89.17/12.99 (3) ~ (all_4_16 = e1) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | COMBINE_EQS: (1), (2) imply: % 89.17/12.99 | (4) all_4_16 = e1 % 89.17/12.99 | % 89.17/12.99 | SIMP: (4) implies: % 89.17/12.99 | (5) all_4_16 = e1 % 89.17/12.99 | % 89.17/12.99 | REDUCE: (3), (5) imply: % 89.17/12.99 | (6) $false % 89.17/12.99 | % 89.17/12.99 | CLOSE: (6) is inconsistent. % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #75 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_8_10 = e3 & op(e3, e1) = e3 % 89.17/12.99 (2) all_4_16 = e3 | ~ (op(e3, e1) = e3) % 89.17/12.99 (3) ~ (all_4_16 = e3) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | ALPHA: (1) implies: % 89.17/12.99 | (4) op(e3, e1) = e3 % 89.17/12.99 | % 89.17/12.99 | BETA: splitting (2) gives: % 89.17/12.99 | % 89.17/12.99 | Case 1: % 89.17/12.99 | | % 89.17/12.99 | | (5) ~ (op(e3, e1) = e3) % 89.17/12.99 | | % 89.17/12.99 | | PRED_UNIFY: (4), (5) imply: % 89.17/12.99 | | (6) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (6) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | Case 2: % 89.17/12.99 | | % 89.17/12.99 | | (7) all_4_16 = e3 % 89.17/12.99 | | % 89.17/12.99 | | REDUCE: (3), (7) imply: % 89.17/12.99 | | (8) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (8) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | End of split % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #76 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_8_2 = e3 & op(e3, e4) = e3 % 89.17/12.99 (2) all_8_2 = e0 % 89.17/12.99 (3) ~ (e3 = e0) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | ALPHA: (1) implies: % 89.17/12.99 | (4) all_8_2 = e3 % 89.17/12.99 | % 89.17/12.99 | COMBINE_EQS: (2), (4) imply: % 89.17/12.99 | (5) e3 = e0 % 89.17/12.99 | % 89.17/12.99 | SIMP: (5) implies: % 89.17/12.99 | (6) e3 = e0 % 89.17/12.99 | % 89.17/12.99 | REDUCE: (3), (6) imply: % 89.17/12.99 | (7) $false % 89.17/12.99 | % 89.17/12.99 | CLOSE: (7) is inconsistent. % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #77 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_6_2 = all_4_10 % 89.17/12.99 (2) all_6_2 = e3 % 89.17/12.99 (3) ~ (all_4_10 = e3) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | COMBINE_EQS: (1), (2) imply: % 89.17/12.99 | (4) all_4_10 = e3 % 89.17/12.99 | % 89.17/12.99 | SIMP: (4) implies: % 89.17/12.99 | (5) all_4_10 = e3 % 89.17/12.99 | % 89.17/12.99 | REDUCE: (3), (5) imply: % 89.17/12.99 | (6) $false % 89.17/12.99 | % 89.17/12.99 | CLOSE: (6) is inconsistent. % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #78 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_4_13 = e2 | ~ (op(e1, e2) = e2) % 89.17/12.99 (2) op(e1, e2) = e2 % 89.17/12.99 (3) ~ (all_4_13 = e2) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | BETA: splitting (1) gives: % 89.17/12.99 | % 89.17/12.99 | Case 1: % 89.17/12.99 | | % 89.17/12.99 | | (4) ~ (op(e1, e2) = e2) % 89.17/12.99 | | % 89.17/12.99 | | PRED_UNIFY: (2), (4) imply: % 89.17/12.99 | | (5) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (5) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | Case 2: % 89.17/12.99 | | % 89.17/12.99 | | (6) all_4_13 = e2 % 89.17/12.99 | | % 89.17/12.99 | | REDUCE: (3), (6) imply: % 89.17/12.99 | | (7) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (7) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | End of split % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #79 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_4_3 = e4 | ~ (op(e1, e4) = e4) % 89.17/12.99 (2) op(e1, e4) = e4 % 89.17/12.99 (3) ~ (all_4_3 = e4) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | BETA: splitting (1) gives: % 89.17/12.99 | % 89.17/12.99 | Case 1: % 89.17/12.99 | | % 89.17/12.99 | | (4) ~ (op(e1, e4) = e4) % 89.17/12.99 | | % 89.17/12.99 | | PRED_UNIFY: (2), (4) imply: % 89.17/12.99 | | (5) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (5) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | Case 2: % 89.17/12.99 | | % 89.17/12.99 | | (6) all_4_3 = e4 % 89.17/12.99 | | % 89.17/12.99 | | REDUCE: (3), (6) imply: % 89.17/12.99 | | (7) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (7) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | End of split % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #80 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_6_0 = e4 | ~ (op(e4, e4) = e4) % 89.17/12.99 (2) op(e4, e4) = e4 % 89.17/12.99 (3) all_6_0 = all_4_0 % 89.17/12.99 (4) ~ (all_4_0 = e4) % 89.17/12.99 % 89.17/12.99 Begin of proof % 89.17/12.99 | % 89.17/12.99 | BETA: splitting (1) gives: % 89.17/12.99 | % 89.17/12.99 | Case 1: % 89.17/12.99 | | % 89.17/12.99 | | (5) ~ (op(e4, e4) = e4) % 89.17/12.99 | | % 89.17/12.99 | | PRED_UNIFY: (2), (5) imply: % 89.17/12.99 | | (6) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (6) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | Case 2: % 89.17/12.99 | | % 89.17/12.99 | | (7) all_6_0 = e4 % 89.17/12.99 | | % 89.17/12.99 | | COMBINE_EQS: (3), (7) imply: % 89.17/12.99 | | (8) all_4_0 = e4 % 89.17/12.99 | | % 89.17/12.99 | | SIMP: (8) implies: % 89.17/12.99 | | (9) all_4_0 = e4 % 89.17/12.99 | | % 89.17/12.99 | | REDUCE: (4), (9) imply: % 89.17/12.99 | | (10) $false % 89.17/12.99 | | % 89.17/12.99 | | CLOSE: (10) is inconsistent. % 89.17/12.99 | | % 89.17/12.99 | End of split % 89.17/12.99 | % 89.17/12.99 End of proof % 89.17/12.99 % 89.17/12.99 Sub-proof #81 shows that the following formulas are inconsistent: % 89.17/12.99 ---------------------------------------------------------------- % 89.17/12.99 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.17/12.99 (2) all_6_3 = e4 | ~ (op(e4, e1) = e4) % 89.17/12.99 (3) all_6_19 = all_4_23 % 89.17/12.99 (4) op(e4, unit) = e4 % 89.17/12.99 (5) all_6_4 = e0 | ~ (op(e4, e0) = e0) % 89.17/12.99 (6) all_6_1 = all_4_5 % 89.17/12.99 (7) all_6_17 = all_4_13 % 89.17/12.99 (8) ~ (all_4_14 = e3) % 89.17/12.99 (9) ~ (all_4_13 = e3) % 89.17/12.99 (10) all_6_2 = all_4_10 % 89.17/12.99 (11) all_4_13 = e2 | ~ (op(e1, e2) = e2) % 89.17/12.99 (12) ~ (all_4_15 = all_4_17) % 89.17/12.99 (13) op(unit, e2) = e2 % 89.17/12.99 (14) all_6_20 = e0 | ~ (op(e0, e4) = e0) % 89.17/12.99 (15) all_6_22 = all_4_14 % 89.17/12.99 (16) ~ (all_4_4 = all_4_14) % 89.17/12.99 (17) op(unit, e0) = e0 % 89.17/12.99 (18) all_6_20 = all_4_4 % 89.17/12.99 (19) ~ (all_4_10 = all_4_13) % 89.17/13.00 (20) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.17/13.00 (21) ~ (e2 = e1) % 89.17/13.00 (22) op(e0, e2) = all_4_14 % 89.17/13.00 (23) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | all_6_22 % 89.17/13.00 = e0 % 89.17/13.00 (24) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 89.17/13.00 (25) all_6_13 = e1 | ~ (op(e2, e1) = e1) % 89.17/13.00 (26) op(e1, unit) = e1 % 89.17/13.00 (27) ~ (all_4_10 = all_4_14) % 89.17/13.00 (28) all_6_22 = e0 | ~ (op(e0, e2) = e0) % 89.17/13.00 (29) e2 = e1 | ~ (op(e3, e2) = e2) % 89.17/13.00 (30) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 89.17/13.00 (31) all_4_14 = e2 | ~ (op(e0, e2) = e2) % 89.17/13.00 (32) all_6_4 = all_4_20 % 89.17/13.00 (33) ~ (all_4_23 = e0) % 89.17/13.00 (34) all_6_19 = e0 | ~ (op(e1, e0) = e0) % 89.17/13.00 (35) ~ (all_4_13 = all_4_14) % 89.17/13.00 (36) ~ (all_4_10 = all_4_15) % 89.17/13.00 (37) all_4_10 = e2 | ~ (op(e4, e2) = e2) % 89.17/13.00 (38) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.17/13.00 (39) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 89.17/13.00 (40) ~ (all_4_5 = e4) % 89.17/13.00 (41) ~ (unit = e0) % 89.17/13.00 (42) ~ (all_4_13 = e1) % 89.17/13.00 (43) op(e1, e2) = all_4_13 % 89.17/13.00 (44) ~ (all_4_10 = e1) % 89.17/13.00 (45) ~ (all_4_14 = e1) % 89.17/13.00 (46) op(e0, unit) = e0 % 89.17/13.00 (47) ~ (all_4_5 = all_4_15) % 89.17/13.00 (48) ~ (all_4_13 = e0) % 89.17/13.00 (49) op(unit, e1) = e1 % 89.17/13.00 (50) all_6_13 = all_4_17 % 89.17/13.00 (51) ~ (all_4_10 = all_4_20) % 89.17/13.00 (52) all_6_3 = all_4_15 % 89.17/13.00 (53) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 % 89.17/13.00 = e0 % 89.17/13.00 (54) ~ (all_4_10 = e3) % 89.17/13.00 % 89.17/13.00 Begin of proof % 89.17/13.00 | % 89.17/13.00 | BETA: splitting (31) gives: % 89.17/13.00 | % 89.17/13.00 | Case 1: % 89.17/13.00 | | % 89.17/13.00 | | (55) ~ (op(e0, e2) = e2) % 89.17/13.00 | | % 89.17/13.00 | | PRED_UNIFY: (22), (55) imply: % 89.17/13.00 | | (56) ~ (all_4_14 = e2) % 89.17/13.00 | | % 89.17/13.00 | | BETA: splitting (29) gives: % 89.17/13.00 | | % 89.17/13.00 | | Case 1: % 89.17/13.00 | | | % 89.17/13.00 | | | (57) ~ (op(e3, e2) = e2) % 89.17/13.00 | | | % 89.17/13.00 | | | PRED_UNIFY: (13), (57) imply: % 89.17/13.00 | | | (58) ~ (unit = e3) % 89.17/13.00 | | | % 89.17/13.00 | | | BETA: splitting (11) gives: % 89.17/13.00 | | | % 89.17/13.00 | | | Case 1: % 89.17/13.00 | | | | % 89.17/13.00 | | | | (59) ~ (op(e1, e2) = e2) % 89.17/13.00 | | | | % 89.17/13.00 | | | | PRED_UNIFY: (13), (59) imply: % 89.17/13.00 | | | | (60) ~ (unit = e1) % 89.17/13.00 | | | | % 89.17/13.00 | | | | PRED_UNIFY: (43), (59) imply: % 89.17/13.00 | | | | (61) ~ (all_4_13 = e2) % 89.17/13.00 | | | | % 89.17/13.00 | | | | BETA: splitting (53) gives: % 89.17/13.00 | | | | % 89.17/13.00 | | | | Case 1: % 89.17/13.00 | | | | | % 89.17/13.00 | | | | | (62) all_6_17 = e3 % 89.17/13.00 | | | | | % 89.17/13.00 | | | | | REF_CLOSE: (7), (9), (62) are inconsistent by sub-proof #100. % 89.17/13.00 | | | | | % 89.17/13.00 | | | | Case 2: % 89.17/13.00 | | | | | % 89.17/13.00 | | | | | (63) all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0 % 89.17/13.00 | | | | | % 89.17/13.00 | | | | | BETA: splitting (63) gives: % 89.17/13.00 | | | | | % 89.17/13.00 | | | | | Case 1: % 89.17/13.00 | | | | | | % 89.17/13.00 | | | | | | (64) all_6_17 = e2 % 89.17/13.00 | | | | | | % 89.17/13.00 | | | | | | REF_CLOSE: (7), (61), (64) are inconsistent by sub-proof #99. % 89.17/13.00 | | | | | | % 89.17/13.00 | | | | | Case 2: % 89.17/13.00 | | | | | | % 89.17/13.00 | | | | | | (65) all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0 % 89.17/13.00 | | | | | | % 89.17/13.00 | | | | | | BETA: splitting (65) gives: % 89.17/13.00 | | | | | | % 89.17/13.00 | | | | | | Case 1: % 89.17/13.00 | | | | | | | % 89.17/13.00 | | | | | | | (66) all_6_17 = e1 % 89.17/13.00 | | | | | | | % 89.17/13.00 | | | | | | | REF_CLOSE: (7), (42), (66) are inconsistent by sub-proof #98. % 89.17/13.00 | | | | | | | % 89.17/13.00 | | | | | | Case 2: % 89.17/13.00 | | | | | | | % 89.17/13.00 | | | | | | | (67) ~ (all_6_17 = e1) % 89.17/13.00 | | | | | | | (68) all_6_17 = e4 | all_6_17 = e0 % 89.17/13.00 | | | | | | | % 89.17/13.00 | | | | | | | BETA: splitting (68) gives: % 89.17/13.00 | | | | | | | % 89.17/13.00 | | | | | | | Case 1: % 89.17/13.00 | | | | | | | | % 89.17/13.00 | | | | | | | | (69) all_6_17 = e4 % 89.17/13.00 | | | | | | | | % 89.17/13.00 | | | | | | | | COMBINE_EQS: (7), (69) imply: % 89.17/13.00 | | | | | | | | (70) all_4_13 = e4 % 89.17/13.00 | | | | | | | | % 89.17/13.00 | | | | | | | | SIMP: (70) implies: % 89.17/13.00 | | | | | | | | (71) all_4_13 = e4 % 89.17/13.00 | | | | | | | | % 89.17/13.00 | | | | | | | | REDUCE: (35), (71) imply: % 89.17/13.00 | | | | | | | | (72) ~ (all_4_14 = e4) % 89.17/13.00 | | | | | | | | % 89.17/13.00 | | | | | | | | SIMP: (72) implies: % 89.17/13.00 | | | | | | | | (73) ~ (all_4_14 = e4) % 89.17/13.00 | | | | | | | | % 89.17/13.00 | | | | | | | | BETA: splitting (23) gives: % 89.17/13.00 | | | | | | | | % 89.17/13.00 | | | | | | | | Case 1: % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | (74) all_6_22 = e3 % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | COMBINE_EQS: (15), (74) imply: % 89.17/13.00 | | | | | | | | | (75) all_4_14 = e3 % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | SIMP: (75) implies: % 89.17/13.00 | | | | | | | | | (76) all_4_14 = e3 % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | REDUCE: (8), (76) imply: % 89.17/13.00 | | | | | | | | | (77) $false % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | CLOSE: (77) is inconsistent. % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | Case 2: % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | (78) all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 | % 89.17/13.00 | | | | | | | | | all_6_22 = e0 % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | BETA: splitting (78) gives: % 89.17/13.00 | | | | | | | | | % 89.17/13.00 | | | | | | | | | Case 1: % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | (79) all_6_22 = e2 % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | COMBINE_EQS: (15), (79) imply: % 89.17/13.00 | | | | | | | | | | (80) all_4_14 = e2 % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | SIMP: (80) implies: % 89.17/13.00 | | | | | | | | | | (81) all_4_14 = e2 % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | REDUCE: (56), (81) imply: % 89.17/13.00 | | | | | | | | | | (82) $false % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | CLOSE: (82) is inconsistent. % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | Case 2: % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | (83) all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0 % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | BETA: splitting (83) gives: % 89.17/13.00 | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | Case 1: % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | (84) all_6_22 = e1 % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | COMBINE_EQS: (15), (84) imply: % 89.17/13.00 | | | | | | | | | | | (85) all_4_14 = e1 % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | SIMP: (85) implies: % 89.17/13.00 | | | | | | | | | | | (86) all_4_14 = e1 % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | REDUCE: (45), (86) imply: % 89.17/13.00 | | | | | | | | | | | (87) $false % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | CLOSE: (87) is inconsistent. % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | Case 2: % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | (88) all_6_22 = e4 | all_6_22 = e0 % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | BETA: splitting (88) gives: % 89.17/13.00 | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | Case 1: % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | (89) all_6_22 = e4 % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | COMBINE_EQS: (15), (89) imply: % 89.17/13.00 | | | | | | | | | | | | (90) all_4_14 = e4 % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | SIMP: (90) implies: % 89.17/13.00 | | | | | | | | | | | | (91) all_4_14 = e4 % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | REDUCE: (73), (91) imply: % 89.17/13.00 | | | | | | | | | | | | (92) $false % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | CLOSE: (92) is inconsistent. % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | Case 2: % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | (93) all_6_22 = e0 % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | COMBINE_EQS: (15), (93) imply: % 89.17/13.00 | | | | | | | | | | | | (94) all_4_14 = e0 % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | SIMP: (94) implies: % 89.17/13.00 | | | | | | | | | | | | (95) all_4_14 = e0 % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | REDUCE: (22), (95) imply: % 89.17/13.00 | | | | | | | | | | | | (96) op(e0, e2) = e0 % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | BETA: splitting (28) gives: % 89.17/13.00 | | | | | | | | | | | | % 89.17/13.00 | | | | | | | | | | | | Case 1: % 89.17/13.00 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | (97) ~ (op(e0, e2) = e0) % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | PRED_UNIFY: (96), (97) imply: % 89.17/13.01 | | | | | | | | | | | | | (98) $false % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | CLOSE: (98) is inconsistent. % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | Case 2: % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | REDUCE: (16), (95) imply: % 89.17/13.01 | | | | | | | | | | | | | (99) ~ (all_4_4 = e0) % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | BETA: splitting (25) gives: % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | Case 1: % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | (100) ~ (op(e2, e1) = e1) % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | PRED_UNIFY: (49), (100) imply: % 89.17/13.01 | | | | | | | | | | | | | | (101) ~ (unit = e2) % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | BETA: splitting (38) gives: % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | Case 1: % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | (102) unit = e3 % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | REDUCE: (58), (102) imply: % 89.17/13.01 | | | | | | | | | | | | | | | (103) $false % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | CLOSE: (103) is inconsistent. % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | Case 2: % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | (104) unit = e4 | unit = e2 | unit = e1 | unit = e0 % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | BETA: splitting (104) gives: % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | Case 1: % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | (105) unit = e2 % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | REDUCE: (101), (105) imply: % 89.17/13.01 | | | | | | | | | | | | | | | | (106) $false % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | CLOSE: (106) is inconsistent. % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | Case 2: % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | (107) unit = e4 | unit = e1 | unit = e0 % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | BETA: splitting (107) gives: % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | Case 1: % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | (108) unit = e1 % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | REDUCE: (60), (108) imply: % 89.17/13.01 | | | | | | | | | | | | | | | | | (109) $false % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | CLOSE: (109) is inconsistent. % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | Case 2: % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | (110) unit = e4 | unit = e0 % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | BETA: splitting (110) gives: % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | Case 1: % 89.17/13.01 | | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | | (111) unit = e4 % 89.17/13.01 | | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | | REDUCE: (46), (111) imply: % 89.17/13.01 | | | | | | | | | | | | | | | | | | (112) op(e0, e4) = e0 % 89.17/13.01 | | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (18), (99), (112) are inconsistent by % 89.17/13.01 | | | | | | | | | | | | | | | | | | sub-proof #93. % 89.17/13.01 | | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | Case 2: % 89.17/13.01 | | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | | (113) ~ (unit = e4) % 89.17/13.01 | | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (110), (113) are inconsistent by sub-proof % 89.17/13.01 | | | | | | | | | | | | | | | | | | #92. % 89.17/13.01 | | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | Case 2: % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | (114) all_6_13 = e1 % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | COMBINE_EQS: (50), (114) imply: % 89.17/13.01 | | | | | | | | | | | | | | (115) all_4_17 = e1 % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | SIMP: (115) implies: % 89.17/13.01 | | | | | | | | | | | | | | (116) all_4_17 = e1 % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | REDUCE: (12), (116) imply: % 89.17/13.01 | | | | | | | | | | | | | | (117) ~ (all_4_15 = e1) % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (20), (26), (30), (38), (39), (40), % 89.17/13.01 | | | | | | | | | | | | | | (41), (42), (49), (52), (60), (117) are % 89.17/13.01 | | | | | | | | | | | | | | inconsistent by sub-proof #87. % 89.17/13.01 | | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | | % 89.17/13.01 | | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | | % 89.17/13.01 | | | | | | | | | End of split % 89.17/13.01 | | | | | | | | | % 89.17/13.01 | | | | | | | | End of split % 89.17/13.01 | | | | | | | | % 89.17/13.01 | | | | | | | Case 2: % 89.17/13.01 | | | | | | | | % 89.17/13.01 | | | | | | | | (118) all_6_17 = e0 % 89.17/13.01 | | | | | | | | % 89.17/13.01 | | | | | | | | REF_CLOSE: (7), (48), (118) are inconsistent by sub-proof #97. % 89.17/13.01 | | | | | | | | % 89.17/13.01 | | | | | | | End of split % 89.17/13.01 | | | | | | | % 89.17/13.01 | | | | | | End of split % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | End of split % 89.17/13.01 | | | | | % 89.17/13.01 | | | | End of split % 89.17/13.01 | | | | % 89.17/13.01 | | | Case 2: % 89.17/13.01 | | | | % 89.17/13.01 | | | | (119) all_4_13 = e2 % 89.17/13.01 | | | | % 89.17/13.01 | | | | REDUCE: (19), (119) imply: % 89.17/13.01 | | | | (120) ~ (all_4_10 = e2) % 89.17/13.01 | | | | % 89.17/13.01 | | | | BETA: splitting (37) gives: % 89.17/13.01 | | | | % 89.17/13.01 | | | | Case 1: % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | (121) ~ (op(e4, e2) = e2) % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | PRED_UNIFY: (13), (121) imply: % 89.17/13.01 | | | | | (122) ~ (unit = e4) % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (17), (20), (24), (26), % 89.17/13.01 | | | | | (32), (33), (34), (36), (38), (40), (41), (42), (44), (47), % 89.17/13.01 | | | | | (51), (52), (54), (120), (122) are inconsistent by % 89.17/13.01 | | | | | sub-proof #82. % 89.17/13.01 | | | | | % 89.17/13.01 | | | | Case 2: % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | (123) all_4_10 = e2 % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | REDUCE: (120), (123) imply: % 89.17/13.01 | | | | | (124) $false % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | CLOSE: (124) is inconsistent. % 89.17/13.01 | | | | | % 89.17/13.01 | | | | End of split % 89.17/13.01 | | | | % 89.17/13.01 | | | End of split % 89.17/13.01 | | | % 89.17/13.01 | | Case 2: % 89.17/13.01 | | | % 89.17/13.01 | | | (125) op(e3, e2) = e2 % 89.17/13.01 | | | % 89.17/13.01 | | | REF_CLOSE: (21), (29), (125) are inconsistent by sub-proof #108. % 89.17/13.01 | | | % 89.17/13.01 | | End of split % 89.17/13.01 | | % 89.17/13.01 | Case 2: % 89.17/13.01 | | % 89.17/13.01 | | (126) all_4_14 = e2 % 89.17/13.01 | | % 89.17/13.01 | | REDUCE: (27), (126) imply: % 89.17/13.01 | | (127) ~ (all_4_10 = e2) % 89.17/13.01 | | % 89.17/13.01 | | REDUCE: (35), (126) imply: % 89.17/13.01 | | (128) ~ (all_4_13 = e2) % 89.17/13.01 | | % 89.17/13.01 | | BETA: splitting (53) gives: % 89.17/13.01 | | % 89.17/13.01 | | Case 1: % 89.17/13.01 | | | % 89.17/13.01 | | | (129) all_6_17 = e3 % 89.17/13.01 | | | % 89.17/13.01 | | | REF_CLOSE: (7), (9), (129) are inconsistent by sub-proof #100. % 89.17/13.01 | | | % 89.17/13.01 | | Case 2: % 89.17/13.01 | | | % 89.17/13.01 | | | (130) all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0 % 89.17/13.01 | | | % 89.17/13.01 | | | BETA: splitting (130) gives: % 89.17/13.01 | | | % 89.17/13.01 | | | Case 1: % 89.17/13.01 | | | | % 89.17/13.01 | | | | (131) all_6_17 = e2 % 89.17/13.01 | | | | % 89.17/13.01 | | | | REF_CLOSE: (7), (128), (131) are inconsistent by sub-proof #99. % 89.17/13.01 | | | | % 89.17/13.01 | | | Case 2: % 89.17/13.01 | | | | % 89.17/13.01 | | | | (132) all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0 % 89.17/13.01 | | | | % 89.17/13.01 | | | | BETA: splitting (132) gives: % 89.17/13.01 | | | | % 89.17/13.01 | | | | Case 1: % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | (133) all_6_17 = e1 % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | REF_CLOSE: (7), (42), (133) are inconsistent by sub-proof #98. % 89.17/13.01 | | | | | % 89.17/13.01 | | | | Case 2: % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | (134) ~ (all_6_17 = e1) % 89.17/13.01 | | | | | (135) all_6_17 = e4 | all_6_17 = e0 % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | BETA: splitting (135) gives: % 89.17/13.01 | | | | | % 89.17/13.01 | | | | | Case 1: % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | | (136) all_6_17 = e4 % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | | COMBINE_EQS: (7), (136) imply: % 89.17/13.01 | | | | | | (137) all_4_13 = e4 % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | | SIMP: (137) implies: % 89.17/13.01 | | | | | | (138) all_4_13 = e4 % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | | REDUCE: (19), (138) imply: % 89.17/13.01 | | | | | | (139) ~ (all_4_10 = e4) % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (10), (17), (20), (24), (26), % 89.17/13.01 | | | | | | (32), (33), (34), (38), (40), (41), (42), (44), (51), % 89.17/13.01 | | | | | | (54), (127), (139) are inconsistent by sub-proof #83. % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | Case 2: % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | | (140) all_6_17 = e0 % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | | REF_CLOSE: (7), (48), (140) are inconsistent by sub-proof #97. % 89.17/13.01 | | | | | | % 89.17/13.01 | | | | | End of split % 89.17/13.01 | | | | | % 89.17/13.01 | | | | End of split % 89.17/13.01 | | | | % 89.17/13.01 | | | End of split % 89.17/13.01 | | | % 89.17/13.01 | | End of split % 89.17/13.01 | | % 89.17/13.01 | End of split % 89.17/13.01 | % 89.17/13.01 End of proof % 89.17/13.01 % 89.17/13.01 Sub-proof #82 shows that the following formulas are inconsistent: % 89.17/13.01 ---------------------------------------------------------------- % 89.17/13.01 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.17/13.01 (2) all_6_3 = e4 | ~ (op(e4, e1) = e4) % 89.17/13.01 (3) all_6_19 = all_4_23 % 89.17/13.01 (4) op(e4, unit) = e4 % 89.17/13.01 (5) all_6_4 = e0 | ~ (op(e4, e0) = e0) % 89.17/13.01 (6) all_6_1 = all_4_5 % 89.17/13.01 (7) all_6_2 = all_4_10 % 89.17/13.01 (8) op(unit, e0) = e0 % 89.17/13.01 (9) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.17/13.01 (10) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 89.17/13.01 (11) op(e1, unit) = e1 % 89.17/13.01 (12) all_6_4 = all_4_20 % 89.17/13.01 (13) ~ (all_4_23 = e0) % 89.17/13.01 (14) all_6_19 = e0 | ~ (op(e1, e0) = e0) % 89.17/13.01 (15) ~ (all_4_10 = all_4_15) % 89.17/13.01 (16) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.17/13.01 (17) ~ (all_4_10 = e2) % 89.17/13.01 (18) ~ (unit = e4) % 89.17/13.01 (19) ~ (all_4_5 = e4) % 89.17/13.01 (20) ~ (unit = e0) % 89.17/13.01 (21) ~ (all_4_13 = e1) % 89.17/13.01 (22) ~ (all_4_10 = e1) % 89.17/13.01 (23) ~ (all_4_5 = all_4_15) % 89.17/13.01 (24) ~ (all_4_10 = all_4_20) % 89.17/13.01 (25) all_6_3 = all_4_15 % 89.17/13.01 (26) ~ (all_4_10 = e3) % 89.17/13.01 % 89.17/13.01 Begin of proof % 89.17/13.01 | % 89.17/13.01 | BETA: splitting (2) gives: % 89.17/13.01 | % 89.17/13.01 | Case 1: % 89.17/13.01 | | % 89.17/13.01 | | (27) ~ (op(e4, e1) = e4) % 89.17/13.01 | | % 89.17/13.01 | | PRED_UNIFY: (4), (27) imply: % 89.17/13.01 | | (28) ~ (unit = e1) % 89.17/13.01 | | % 89.17/13.01 | | REF_CLOSE: (1), (4), (6), (9), (11), (16), (18), (19), (20), (21), (28) are % 89.17/13.01 | | inconsistent by sub-proof #89. % 89.17/13.01 | | % 89.17/13.01 | Case 2: % 89.17/13.01 | | % 89.17/13.01 | | (29) all_6_3 = e4 % 89.17/13.01 | | % 89.17/13.01 | | COMBINE_EQS: (25), (29) imply: % 89.17/13.01 | | (30) all_4_15 = e4 % 89.17/13.01 | | % 89.17/13.01 | | SIMP: (30) implies: % 89.17/13.02 | | (31) all_4_15 = e4 % 89.17/13.02 | | % 89.17/13.02 | | REDUCE: (15), (31) imply: % 89.17/13.02 | | (32) ~ (all_4_10 = e4) % 89.17/13.02 | | % 89.17/13.02 | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), % 89.17/13.02 | | (14), (16), (17), (19), (20), (21), (22), (24), (26), (32) are % 89.17/13.02 | | inconsistent by sub-proof #83. % 89.17/13.02 | | % 89.17/13.02 | End of split % 89.17/13.02 | % 89.17/13.02 End of proof % 89.17/13.02 % 89.17/13.02 Sub-proof #83 shows that the following formulas are inconsistent: % 89.17/13.02 ---------------------------------------------------------------- % 89.17/13.02 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.17/13.02 (2) all_6_19 = all_4_23 % 89.17/13.02 (3) op(e4, unit) = e4 % 89.17/13.02 (4) all_6_4 = e0 | ~ (op(e4, e0) = e0) % 89.17/13.02 (5) all_6_1 = all_4_5 % 89.17/13.02 (6) all_6_2 = all_4_10 % 89.17/13.02 (7) op(unit, e0) = e0 % 89.17/13.02 (8) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.17/13.02 (9) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 89.17/13.02 (10) op(e1, unit) = e1 % 89.17/13.02 (11) all_6_4 = all_4_20 % 89.17/13.02 (12) ~ (all_4_23 = e0) % 89.17/13.02 (13) all_6_19 = e0 | ~ (op(e1, e0) = e0) % 89.17/13.02 (14) ~ (all_4_10 = e4) % 89.17/13.02 (15) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.17/13.02 (16) ~ (all_4_10 = e2) % 89.17/13.02 (17) ~ (all_4_5 = e4) % 89.17/13.02 (18) ~ (unit = e0) % 89.17/13.02 (19) ~ (all_4_13 = e1) % 89.17/13.02 (20) ~ (all_4_10 = e1) % 89.17/13.02 (21) ~ (all_4_10 = all_4_20) % 89.17/13.02 (22) ~ (all_4_10 = e3) % 89.17/13.02 % 89.17/13.02 Begin of proof % 89.17/13.02 | % 89.17/13.02 | BETA: splitting (9) gives: % 89.17/13.02 | % 89.17/13.02 | Case 1: % 89.17/13.02 | | % 89.17/13.02 | | (23) all_6_2 = e3 % 89.17/13.02 | | % 89.17/13.02 | | COMBINE_EQS: (6), (23) imply: % 89.17/13.02 | | (24) all_4_10 = e3 % 89.17/13.02 | | % 89.17/13.02 | | REDUCE: (22), (24) imply: % 89.17/13.02 | | (25) $false % 89.17/13.02 | | % 89.17/13.02 | | CLOSE: (25) is inconsistent. % 89.17/13.02 | | % 89.17/13.02 | Case 2: % 89.17/13.02 | | % 89.17/13.02 | | (26) all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 89.17/13.02 | | % 89.17/13.02 | | BETA: splitting (26) gives: % 89.17/13.02 | | % 89.17/13.02 | | Case 1: % 89.17/13.02 | | | % 89.17/13.02 | | | (27) all_6_2 = e2 % 89.17/13.02 | | | % 89.17/13.02 | | | REF_CLOSE: (6), (16), (27) are inconsistent by sub-proof #86. % 89.17/13.02 | | | % 89.17/13.02 | | Case 2: % 89.17/13.02 | | | % 89.17/13.02 | | | (28) all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0 % 89.17/13.02 | | | % 89.17/13.02 | | | BETA: splitting (28) gives: % 89.17/13.02 | | | % 89.17/13.02 | | | Case 1: % 89.17/13.02 | | | | % 89.17/13.02 | | | | (29) all_6_2 = e1 % 89.17/13.02 | | | | % 89.17/13.02 | | | | REF_CLOSE: (6), (20), (29) are inconsistent by sub-proof #85. % 89.17/13.02 | | | | % 89.17/13.02 | | | Case 2: % 89.17/13.02 | | | | % 89.17/13.02 | | | | (30) all_6_2 = e4 | all_6_2 = e0 % 89.17/13.02 | | | | % 89.17/13.02 | | | | BETA: splitting (30) gives: % 89.17/13.02 | | | | % 89.17/13.02 | | | | Case 1: % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | (31) all_6_2 = e4 % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | REF_CLOSE: (6), (14), (31) are inconsistent by sub-proof #84. % 89.17/13.02 | | | | | % 89.17/13.02 | | | | Case 2: % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | (32) all_6_2 = e0 % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | COMBINE_EQS: (6), (32) imply: % 89.17/13.02 | | | | | (33) all_4_10 = e0 % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | SIMP: (33) implies: % 89.17/13.02 | | | | | (34) all_4_10 = e0 % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | REDUCE: (21), (34) imply: % 89.17/13.02 | | | | | (35) ~ (all_4_20 = e0) % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | SIMP: (35) implies: % 89.17/13.02 | | | | | (36) ~ (all_4_20 = e0) % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | BETA: splitting (13) gives: % 89.17/13.02 | | | | | % 89.17/13.02 | | | | | Case 1: % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | (37) ~ (op(e1, e0) = e0) % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | PRED_UNIFY: (7), (37) imply: % 89.17/13.02 | | | | | | (38) ~ (unit = e1) % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | BETA: splitting (4) gives: % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | Case 1: % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | (39) ~ (op(e4, e0) = e0) % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | PRED_UNIFY: (7), (39) imply: % 89.17/13.02 | | | | | | | (40) ~ (unit = e4) % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | REF_CLOSE: (1), (3), (5), (8), (10), (15), (17), (18), (19), (38), % 89.17/13.02 | | | | | | | (40) are inconsistent by sub-proof #89. % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | Case 2: % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | (41) all_6_4 = e0 % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | COMBINE_EQS: (11), (41) imply: % 89.17/13.02 | | | | | | | (42) all_4_20 = e0 % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | SIMP: (42) implies: % 89.17/13.02 | | | | | | | (43) all_4_20 = e0 % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | REDUCE: (36), (43) imply: % 89.17/13.02 | | | | | | | (44) $false % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | | CLOSE: (44) is inconsistent. % 89.17/13.02 | | | | | | | % 89.17/13.02 | | | | | | End of split % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | Case 2: % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | (45) all_6_19 = e0 % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | COMBINE_EQS: (2), (45) imply: % 89.17/13.02 | | | | | | (46) all_4_23 = e0 % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | SIMP: (46) implies: % 89.17/13.02 | | | | | | (47) all_4_23 = e0 % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | REDUCE: (12), (47) imply: % 89.17/13.02 | | | | | | (48) $false % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | | CLOSE: (48) is inconsistent. % 89.17/13.02 | | | | | | % 89.17/13.02 | | | | | End of split % 89.17/13.02 | | | | | % 89.17/13.02 | | | | End of split % 89.17/13.02 | | | | % 89.17/13.02 | | | End of split % 89.17/13.02 | | | % 89.17/13.02 | | End of split % 89.17/13.02 | | % 89.17/13.02 | End of split % 89.17/13.02 | % 89.17/13.02 End of proof % 89.17/13.02 % 89.17/13.02 Sub-proof #84 shows that the following formulas are inconsistent: % 89.17/13.02 ---------------------------------------------------------------- % 89.17/13.02 (1) all_6_2 = all_4_10 % 89.17/13.02 (2) all_6_2 = e4 % 89.17/13.02 (3) ~ (all_4_10 = e4) % 89.17/13.02 % 89.17/13.02 Begin of proof % 89.17/13.02 | % 89.17/13.02 | COMBINE_EQS: (1), (2) imply: % 89.17/13.02 | (4) all_4_10 = e4 % 89.17/13.02 | % 89.17/13.02 | SIMP: (4) implies: % 89.17/13.02 | (5) all_4_10 = e4 % 89.17/13.02 | % 89.17/13.02 | REDUCE: (3), (5) imply: % 89.17/13.02 | (6) $false % 89.17/13.02 | % 89.17/13.02 | CLOSE: (6) is inconsistent. % 89.17/13.02 | % 89.17/13.02 End of proof % 89.17/13.02 % 89.17/13.02 Sub-proof #85 shows that the following formulas are inconsistent: % 89.17/13.02 ---------------------------------------------------------------- % 89.17/13.02 (1) all_6_2 = all_4_10 % 89.86/13.02 (2) all_6_2 = e1 % 89.86/13.02 (3) ~ (all_4_10 = e1) % 89.86/13.02 % 89.86/13.02 Begin of proof % 89.86/13.02 | % 89.86/13.02 | COMBINE_EQS: (1), (2) imply: % 89.86/13.02 | (4) all_4_10 = e1 % 89.86/13.02 | % 89.86/13.02 | SIMP: (4) implies: % 89.86/13.02 | (5) all_4_10 = e1 % 89.86/13.02 | % 89.86/13.02 | REDUCE: (3), (5) imply: % 89.86/13.02 | (6) $false % 89.86/13.02 | % 89.86/13.02 | CLOSE: (6) is inconsistent. % 89.86/13.02 | % 89.86/13.02 End of proof % 89.86/13.02 % 89.86/13.02 Sub-proof #86 shows that the following formulas are inconsistent: % 89.86/13.02 ---------------------------------------------------------------- % 89.86/13.02 (1) all_6_2 = all_4_10 % 89.86/13.02 (2) all_6_2 = e2 % 89.86/13.02 (3) ~ (all_4_10 = e2) % 89.86/13.02 % 89.86/13.02 Begin of proof % 89.86/13.02 | % 89.86/13.02 | COMBINE_EQS: (1), (2) imply: % 89.86/13.02 | (4) all_4_10 = e2 % 89.86/13.02 | % 89.86/13.02 | SIMP: (4) implies: % 89.86/13.02 | (5) all_4_10 = e2 % 89.86/13.02 | % 89.86/13.02 | REDUCE: (3), (5) imply: % 89.86/13.02 | (6) $false % 89.86/13.02 | % 89.86/13.02 | CLOSE: (6) is inconsistent. % 89.86/13.02 | % 89.86/13.02 End of proof % 89.86/13.02 % 89.86/13.02 Sub-proof #87 shows that the following formulas are inconsistent: % 89.86/13.02 ---------------------------------------------------------------- % 89.86/13.02 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.86/13.02 (2) op(e4, unit) = e4 % 89.86/13.02 (3) all_6_1 = all_4_5 % 89.86/13.02 (4) ~ (unit = e1) % 89.86/13.02 (5) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.86/13.02 (6) op(e1, unit) = e1 % 89.86/13.02 (7) all_4_15 = e1 | ~ (op(e4, e1) = e1) % 89.86/13.02 (8) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.86/13.02 (9) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 89.86/13.02 (10) ~ (all_4_15 = e1) % 89.86/13.02 (11) ~ (all_4_5 = e4) % 89.86/13.02 (12) ~ (unit = e0) % 89.86/13.02 (13) ~ (all_4_13 = e1) % 89.86/13.02 (14) op(unit, e1) = e1 % 89.86/13.02 (15) all_6_3 = all_4_15 % 89.86/13.02 % 89.86/13.02 Begin of proof % 89.86/13.02 | % 89.86/13.02 | BETA: splitting (7) gives: % 89.86/13.02 | % 89.86/13.02 | Case 1: % 89.86/13.02 | | % 89.86/13.02 | | (16) ~ (op(e4, e1) = e1) % 89.86/13.02 | | % 89.86/13.02 | | PRED_UNIFY: (14), (16) imply: % 89.86/13.02 | | (17) ~ (unit = e4) % 89.86/13.02 | | % 89.86/13.02 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (11), (12), (13), (17) are % 89.86/13.02 | | inconsistent by sub-proof #89. % 89.86/13.02 | | % 89.86/13.02 | Case 2: % 89.86/13.02 | | % 89.86/13.02 | | (18) op(e4, e1) = e1 % 89.86/13.02 | | % 89.86/13.02 | | REF_CLOSE: (9), (10), (15), (18) are inconsistent by sub-proof #88. % 89.86/13.02 | | % 89.86/13.02 | End of split % 89.86/13.02 | % 89.86/13.02 End of proof % 89.86/13.02 % 89.86/13.02 Sub-proof #88 shows that the following formulas are inconsistent: % 89.86/13.02 ---------------------------------------------------------------- % 89.86/13.03 (1) all_6_3 = e1 | ~ (op(e4, e1) = e1) % 89.86/13.03 (2) op(e4, e1) = e1 % 89.86/13.03 (3) all_6_3 = all_4_15 % 89.86/13.03 (4) ~ (all_4_15 = e1) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | BETA: splitting (1) gives: % 89.86/13.03 | % 89.86/13.03 | Case 1: % 89.86/13.03 | | % 89.86/13.03 | | (5) ~ (op(e4, e1) = e1) % 89.86/13.03 | | % 89.86/13.03 | | PRED_UNIFY: (2), (5) imply: % 89.86/13.03 | | (6) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (6) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | Case 2: % 89.86/13.03 | | % 89.86/13.03 | | (7) all_6_3 = e1 % 89.86/13.03 | | % 89.86/13.03 | | COMBINE_EQS: (3), (7) imply: % 89.86/13.03 | | (8) all_4_15 = e1 % 89.86/13.03 | | % 89.86/13.03 | | REDUCE: (4), (8) imply: % 89.86/13.03 | | (9) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (9) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | End of split % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #89 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.86/13.03 (2) op(e4, unit) = e4 % 89.86/13.03 (3) all_6_1 = all_4_5 % 89.86/13.03 (4) ~ (unit = e1) % 89.86/13.03 (5) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.86/13.03 (6) op(e1, unit) = e1 % 89.86/13.03 (7) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 89.86/13.03 (8) ~ (unit = e4) % 89.86/13.03 (9) ~ (all_4_5 = e4) % 89.86/13.03 (10) ~ (unit = e0) % 89.86/13.03 (11) ~ (all_4_13 = e1) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | BETA: splitting (1) gives: % 89.86/13.03 | % 89.86/13.03 | Case 1: % 89.86/13.03 | | % 89.86/13.03 | | (12) ~ (op(e4, e3) = e4) % 89.86/13.03 | | % 89.86/13.03 | | PRED_UNIFY: (2), (12) imply: % 89.86/13.03 | | (13) ~ (unit = e3) % 89.86/13.03 | | % 89.86/13.03 | | BETA: splitting (7) gives: % 89.86/13.03 | | % 89.86/13.03 | | Case 1: % 89.86/13.03 | | | % 89.86/13.03 | | | (14) unit = e3 % 89.86/13.03 | | | % 89.86/13.03 | | | REDUCE: (13), (14) imply: % 89.86/13.03 | | | (15) $false % 89.86/13.03 | | | % 89.86/13.03 | | | CLOSE: (15) is inconsistent. % 89.86/13.03 | | | % 89.86/13.03 | | Case 2: % 89.86/13.03 | | | % 89.86/13.03 | | | (16) unit = e4 | unit = e2 | unit = e1 | unit = e0 % 89.86/13.03 | | | % 89.86/13.03 | | | BETA: splitting (16) gives: % 89.86/13.03 | | | % 89.86/13.03 | | | Case 1: % 89.86/13.03 | | | | % 89.86/13.03 | | | | (17) unit = e2 % 89.86/13.03 | | | | % 89.86/13.03 | | | | REDUCE: (6), (17) imply: % 89.86/13.03 | | | | (18) op(e1, e2) = e1 % 89.86/13.03 | | | | % 89.86/13.03 | | | | REF_CLOSE: (5), (11), (18) are inconsistent by sub-proof #91. % 89.86/13.03 | | | | % 89.86/13.03 | | | Case 2: % 89.86/13.03 | | | | % 89.86/13.03 | | | | (19) unit = e4 | unit = e1 | unit = e0 % 89.86/13.03 | | | | % 89.86/13.03 | | | | BETA: splitting (19) gives: % 89.86/13.03 | | | | % 89.86/13.03 | | | | Case 1: % 89.86/13.03 | | | | | % 89.86/13.03 | | | | | (20) unit = e1 % 89.86/13.03 | | | | | % 89.86/13.03 | | | | | REDUCE: (4), (20) imply: % 89.86/13.03 | | | | | (21) $false % 89.86/13.03 | | | | | % 89.86/13.03 | | | | | CLOSE: (21) is inconsistent. % 89.86/13.03 | | | | | % 89.86/13.03 | | | | Case 2: % 89.86/13.03 | | | | | % 89.86/13.03 | | | | | (22) unit = e4 | unit = e0 % 89.86/13.03 | | | | | % 89.86/13.03 | | | | | REF_CLOSE: (8), (10), (22) are inconsistent by sub-proof #92. % 89.86/13.03 | | | | | % 89.86/13.03 | | | | End of split % 89.86/13.03 | | | | % 89.86/13.03 | | | End of split % 89.86/13.03 | | | % 89.86/13.03 | | End of split % 89.86/13.03 | | % 89.86/13.03 | Case 2: % 89.86/13.03 | | % 89.86/13.03 | | (23) op(e4, e3) = e4 % 89.86/13.03 | | % 89.86/13.03 | | REF_CLOSE: (1), (3), (9), (23) are inconsistent by sub-proof #90. % 89.86/13.03 | | % 89.86/13.03 | End of split % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #90 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) all_6_1 = e4 | ~ (op(e4, e3) = e4) % 89.86/13.03 (2) op(e4, e3) = e4 % 89.86/13.03 (3) all_6_1 = all_4_5 % 89.86/13.03 (4) ~ (all_4_5 = e4) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | BETA: splitting (1) gives: % 89.86/13.03 | % 89.86/13.03 | Case 1: % 89.86/13.03 | | % 89.86/13.03 | | (5) ~ (op(e4, e3) = e4) % 89.86/13.03 | | % 89.86/13.03 | | PRED_UNIFY: (2), (5) imply: % 89.86/13.03 | | (6) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (6) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | Case 2: % 89.86/13.03 | | % 89.86/13.03 | | (7) all_6_1 = e4 % 89.86/13.03 | | % 89.86/13.03 | | COMBINE_EQS: (3), (7) imply: % 89.86/13.03 | | (8) all_4_5 = e4 % 89.86/13.03 | | % 89.86/13.03 | | REDUCE: (4), (8) imply: % 89.86/13.03 | | (9) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (9) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | End of split % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #91 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) all_4_13 = e1 | ~ (op(e1, e2) = e1) % 89.86/13.03 (2) op(e1, e2) = e1 % 89.86/13.03 (3) ~ (all_4_13 = e1) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | BETA: splitting (1) gives: % 89.86/13.03 | % 89.86/13.03 | Case 1: % 89.86/13.03 | | % 89.86/13.03 | | (4) ~ (op(e1, e2) = e1) % 89.86/13.03 | | % 89.86/13.03 | | PRED_UNIFY: (2), (4) imply: % 89.86/13.03 | | (5) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (5) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | Case 2: % 89.86/13.03 | | % 89.86/13.03 | | (6) all_4_13 = e1 % 89.86/13.03 | | % 89.86/13.03 | | REDUCE: (3), (6) imply: % 89.86/13.03 | | (7) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (7) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | End of split % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #92 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) unit = e4 | unit = e0 % 89.86/13.03 (2) ~ (unit = e4) % 89.86/13.03 (3) ~ (unit = e0) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | BETA: splitting (1) gives: % 89.86/13.03 | % 89.86/13.03 | Case 1: % 89.86/13.03 | | % 89.86/13.03 | | (4) unit = e4 % 89.86/13.03 | | % 89.86/13.03 | | REDUCE: (2), (4) imply: % 89.86/13.03 | | (5) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (5) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | Case 2: % 89.86/13.03 | | % 89.86/13.03 | | (6) unit = e0 % 89.86/13.03 | | % 89.86/13.03 | | REDUCE: (3), (6) imply: % 89.86/13.03 | | (7) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (7) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | End of split % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #93 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) all_6_20 = e0 | ~ (op(e0, e4) = e0) % 89.86/13.03 (2) op(e0, e4) = e0 % 89.86/13.03 (3) all_6_20 = all_4_4 % 89.86/13.03 (4) ~ (all_4_4 = e0) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | BETA: splitting (1) gives: % 89.86/13.03 | % 89.86/13.03 | Case 1: % 89.86/13.03 | | % 89.86/13.03 | | (5) ~ (op(e0, e4) = e0) % 89.86/13.03 | | % 89.86/13.03 | | PRED_UNIFY: (2), (5) imply: % 89.86/13.03 | | (6) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (6) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | Case 2: % 89.86/13.03 | | % 89.86/13.03 | | (7) all_6_20 = e0 % 89.86/13.03 | | % 89.86/13.03 | | COMBINE_EQS: (3), (7) imply: % 89.86/13.03 | | (8) all_4_4 = e0 % 89.86/13.03 | | % 89.86/13.03 | | SIMP: (8) implies: % 89.86/13.03 | | (9) all_4_4 = e0 % 89.86/13.03 | | % 89.86/13.03 | | REDUCE: (4), (9) imply: % 89.86/13.03 | | (10) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (10) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | End of split % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #94 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) all_8_4 = e3 % 89.86/13.03 (2) ~ (e2 = e1) % 89.86/13.03 (3) e2 = e1 | ~ (op(e3, e2) = e2) % 89.86/13.03 (4) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) % 89.86/13.03 (5) ~ (e3 = e2) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | BETA: splitting (4) gives: % 89.86/13.03 | % 89.86/13.03 | Case 1: % 89.86/13.03 | | % 89.86/13.03 | | (6) all_8_4 = e2 & op(e4, e2) = e2 % 89.86/13.03 | | % 89.86/13.03 | | ALPHA: (6) implies: % 89.86/13.03 | | (7) all_8_4 = e2 % 89.86/13.03 | | % 89.86/13.03 | | COMBINE_EQS: (1), (7) imply: % 89.86/13.03 | | (8) e3 = e2 % 89.86/13.03 | | % 89.86/13.03 | | REDUCE: (5), (8) imply: % 89.86/13.03 | | (9) $false % 89.86/13.03 | | % 89.86/13.03 | | CLOSE: (9) is inconsistent. % 89.86/13.03 | | % 89.86/13.03 | Case 2: % 89.86/13.03 | | % 89.86/13.03 | | (10) all_8_5 = e2 & op(e3, e2) = e2 % 89.86/13.03 | | % 89.86/13.03 | | ALPHA: (10) implies: % 89.86/13.03 | | (11) op(e3, e2) = e2 % 89.86/13.03 | | % 89.86/13.03 | | REF_CLOSE: (2), (3), (11) are inconsistent by sub-proof #108. % 89.86/13.03 | | % 89.86/13.03 | End of split % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #95 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) all_8_5 = e4 & op(e3, e2) = e4 % 89.86/13.03 (2) all_8_5 = e1 % 89.86/13.03 (3) ~ (e4 = e1) % 89.86/13.03 % 89.86/13.03 Begin of proof % 89.86/13.03 | % 89.86/13.03 | ALPHA: (1) implies: % 89.86/13.03 | (4) all_8_5 = e4 % 89.86/13.03 | % 89.86/13.03 | COMBINE_EQS: (2), (4) imply: % 89.86/13.03 | (5) e4 = e1 % 89.86/13.03 | % 89.86/13.03 | REDUCE: (3), (5) imply: % 89.86/13.03 | (6) $false % 89.86/13.03 | % 89.86/13.03 | CLOSE: (6) is inconsistent. % 89.86/13.03 | % 89.86/13.03 End of proof % 89.86/13.03 % 89.86/13.03 Sub-proof #96 shows that the following formulas are inconsistent: % 89.86/13.03 ---------------------------------------------------------------- % 89.86/13.03 (1) all_6_17 = all_4_13 % 89.86/13.04 (2) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) | % 89.86/13.04 (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 & op(e1, e2) = e2) | % 89.86/13.04 (all_8_22 = e2 & op(e0, e2) = e2) % 89.86/13.04 (3) ~ (all_4_13 = e3) % 89.86/13.04 (4) all_6_2 = all_4_10 % 89.86/13.04 (5) all_6_22 = e2 | ~ (op(e0, e2) = e2) % 89.86/13.04 (6) all_6_22 = all_4_14 % 89.86/13.04 (7) ~ (e2 = e0) % 89.86/13.04 (8) ~ (all_4_10 = all_4_13) % 89.86/13.04 (9) ~ (e2 = e1) % 89.86/13.04 (10) e2 = e1 | ~ (op(e3, e2) = e2) % 89.86/13.04 (11) all_8_4 = e4 & op(e4, e2) = e4 % 89.86/13.04 (12) all_8_14 = e0 % 89.86/13.04 (13) all_6_2 = e4 | ~ (op(e4, e2) = e4) % 89.86/13.04 (14) ~ (all_4_13 = all_4_14) % 89.86/13.04 (15) all_4_12 = e2 | ~ (op(e2, e2) = e2) % 89.86/13.04 (16) all_4_12 = e3 % 89.86/13.04 (17) ~ (all_4_13 = e1) % 89.86/13.04 (18) ~ (all_4_13 = e0) % 89.86/13.04 (19) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 % 89.86/13.04 = e0 % 89.86/13.04 (20) ~ (e3 = e2) % 89.86/13.04 (21) ~ (e4 = e2) % 89.86/13.04 % 89.86/13.04 Begin of proof % 89.86/13.04 | % 89.86/13.04 | ALPHA: (11) implies: % 89.86/13.04 | (22) all_8_4 = e4 % 89.86/13.04 | (23) op(e4, e2) = e4 % 89.86/13.04 | % 89.86/13.04 | BETA: splitting (2) gives: % 89.86/13.04 | % 89.86/13.04 | Case 1: % 89.86/13.04 | | % 89.86/13.04 | | (24) (all_8_4 = e2 & op(e4, e2) = e2) | (all_8_5 = e2 & op(e3, e2) = e2) % 89.86/13.04 | | % 89.86/13.04 | | BETA: splitting (24) gives: % 89.86/13.04 | | % 89.86/13.04 | | Case 1: % 89.86/13.04 | | | % 89.86/13.04 | | | (25) all_8_4 = e2 & op(e4, e2) = e2 % 89.86/13.04 | | | % 89.86/13.04 | | | ALPHA: (25) implies: % 89.86/13.04 | | | (26) all_8_4 = e2 % 89.86/13.04 | | | % 89.86/13.04 | | | COMBINE_EQS: (22), (26) imply: % 89.86/13.04 | | | (27) e4 = e2 % 89.86/13.04 | | | % 89.86/13.04 | | | SIMP: (27) implies: % 89.86/13.04 | | | (28) e4 = e2 % 89.86/13.04 | | | % 89.86/13.04 | | | REDUCE: (21), (28) imply: % 89.86/13.04 | | | (29) $false % 89.86/13.04 | | | % 89.86/13.04 | | | CLOSE: (29) is inconsistent. % 89.86/13.04 | | | % 89.86/13.04 | | Case 2: % 89.86/13.04 | | | % 89.86/13.04 | | | (30) all_8_5 = e2 & op(e3, e2) = e2 % 89.86/13.04 | | | % 89.86/13.04 | | | ALPHA: (30) implies: % 89.86/13.04 | | | (31) op(e3, e2) = e2 % 89.86/13.04 | | | % 89.86/13.04 | | | REF_CLOSE: (9), (10), (31) are inconsistent by sub-proof #108. % 89.86/13.04 | | | % 89.86/13.04 | | End of split % 89.86/13.04 | | % 89.86/13.04 | Case 2: % 89.86/13.04 | | % 89.86/13.04 | | (32) (all_8_8 = e2 & op(e2, e2) = e2) | (all_8_14 = e2 & op(e1, e2) = e2) % 89.86/13.04 | | | (all_8_22 = e2 & op(e0, e2) = e2) % 89.86/13.04 | | % 89.86/13.04 | | BETA: splitting (32) gives: % 89.86/13.04 | | % 89.86/13.04 | | Case 1: % 89.86/13.04 | | | % 89.86/13.04 | | | (33) all_8_8 = e2 & op(e2, e2) = e2 % 89.86/13.04 | | | % 89.86/13.04 | | | REF_CLOSE: (15), (16), (20), (33) are inconsistent by sub-proof #102. % 89.86/13.04 | | | % 89.86/13.04 | | Case 2: % 89.86/13.04 | | | % 89.86/13.04 | | | (34) (all_8_14 = e2 & op(e1, e2) = e2) | (all_8_22 = e2 & op(e0, e2) = % 89.86/13.04 | | | e2) % 89.86/13.04 | | | % 89.86/13.04 | | | BETA: splitting (34) gives: % 89.86/13.04 | | | % 89.86/13.04 | | | Case 1: % 89.86/13.04 | | | | % 89.86/13.04 | | | | (35) all_8_14 = e2 & op(e1, e2) = e2 % 89.86/13.04 | | | | % 89.86/13.04 | | | | REF_CLOSE: (7), (12), (35) are inconsistent by sub-proof #101. % 89.86/13.04 | | | | % 89.86/13.04 | | | Case 2: % 89.86/13.04 | | | | % 89.86/13.04 | | | | (36) all_8_22 = e2 & op(e0, e2) = e2 % 89.86/13.04 | | | | % 89.86/13.04 | | | | ALPHA: (36) implies: % 89.86/13.04 | | | | (37) op(e0, e2) = e2 % 89.86/13.04 | | | | % 89.86/13.04 | | | | BETA: splitting (5) gives: % 89.86/13.04 | | | | % 89.86/13.04 | | | | Case 1: % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | (38) ~ (op(e0, e2) = e2) % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | PRED_UNIFY: (37), (38) imply: % 89.86/13.04 | | | | | (39) $false % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | CLOSE: (39) is inconsistent. % 89.86/13.04 | | | | | % 89.86/13.04 | | | | Case 2: % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | (40) all_6_22 = e2 % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | COMBINE_EQS: (6), (40) imply: % 89.86/13.04 | | | | | (41) all_4_14 = e2 % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | SIMP: (41) implies: % 89.86/13.04 | | | | | (42) all_4_14 = e2 % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | REDUCE: (14), (42) imply: % 89.86/13.04 | | | | | (43) ~ (all_4_13 = e2) % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | BETA: splitting (19) gives: % 89.86/13.04 | | | | | % 89.86/13.04 | | | | | Case 1: % 89.86/13.04 | | | | | | % 89.86/13.04 | | | | | | (44) all_6_17 = e3 % 89.86/13.04 | | | | | | % 89.86/13.04 | | | | | | REF_CLOSE: (1), (3), (44) are inconsistent by sub-proof #100. % 89.86/13.04 | | | | | | % 89.86/13.04 | | | | | Case 2: % 89.86/13.04 | | | | | | % 89.86/13.04 | | | | | | (45) all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = % 89.86/13.04 | | | | | | e0 % 89.86/13.04 | | | | | | % 89.86/13.04 | | | | | | BETA: splitting (45) gives: % 89.86/13.04 | | | | | | % 89.86/13.04 | | | | | | Case 1: % 89.86/13.04 | | | | | | | % 89.86/13.04 | | | | | | | (46) all_6_17 = e2 % 89.86/13.04 | | | | | | | % 89.86/13.04 | | | | | | | REF_CLOSE: (1), (43), (46) are inconsistent by sub-proof #99. % 89.86/13.04 | | | | | | | % 89.86/13.04 | | | | | | Case 2: % 89.86/13.04 | | | | | | | % 89.86/13.04 | | | | | | | (47) all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0 % 89.86/13.04 | | | | | | | % 89.86/13.04 | | | | | | | BETA: splitting (47) gives: % 89.86/13.04 | | | | | | | % 89.86/13.04 | | | | | | | Case 1: % 89.86/13.04 | | | | | | | | % 89.86/13.04 | | | | | | | | (48) all_6_17 = e1 % 89.86/13.04 | | | | | | | | % 89.86/13.04 | | | | | | | | REF_CLOSE: (1), (17), (48) are inconsistent by sub-proof #98. % 89.86/13.04 | | | | | | | | % 89.86/13.04 | | | | | | | Case 2: % 89.86/13.04 | | | | | | | | % 89.86/13.04 | | | | | | | | (49) all_6_17 = e4 | all_6_17 = e0 % 89.86/13.04 | | | | | | | | % 89.86/13.04 | | | | | | | | BETA: splitting (13) gives: % 89.86/13.04 | | | | | | | | % 89.86/13.04 | | | | | | | | Case 1: % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | (50) ~ (op(e4, e2) = e4) % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | PRED_UNIFY: (23), (50) imply: % 89.86/13.04 | | | | | | | | | (51) $false % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | CLOSE: (51) is inconsistent. % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | Case 2: % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | (52) all_6_2 = e4 % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | COMBINE_EQS: (4), (52) imply: % 89.86/13.04 | | | | | | | | | (53) all_4_10 = e4 % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | SIMP: (53) implies: % 89.86/13.04 | | | | | | | | | (54) all_4_10 = e4 % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | REDUCE: (8), (54) imply: % 89.86/13.04 | | | | | | | | | (55) ~ (all_4_13 = e4) % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | SIMP: (55) implies: % 89.86/13.04 | | | | | | | | | (56) ~ (all_4_13 = e4) % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | BETA: splitting (49) gives: % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | | Case 1: % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | | (57) all_6_17 = e4 % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | | COMBINE_EQS: (1), (57) imply: % 89.86/13.04 | | | | | | | | | | (58) all_4_13 = e4 % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | | SIMP: (58) implies: % 89.86/13.04 | | | | | | | | | | (59) all_4_13 = e4 % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | | REDUCE: (56), (59) imply: % 89.86/13.04 | | | | | | | | | | (60) $false % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | | CLOSE: (60) is inconsistent. % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | Case 2: % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | | (61) all_6_17 = e0 % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | | REF_CLOSE: (1), (18), (61) are inconsistent by sub-proof #97. % 89.86/13.04 | | | | | | | | | | % 89.86/13.04 | | | | | | | | | End of split % 89.86/13.04 | | | | | | | | | % 89.86/13.04 | | | | | | | | End of split % 89.86/13.04 | | | | | | | | % 89.86/13.04 | | | | | | | End of split % 89.86/13.04 | | | | | | | % 89.86/13.04 | | | | | | End of split % 89.86/13.04 | | | | | | % 89.86/13.04 | | | | | End of split % 89.86/13.04 | | | | | % 89.86/13.04 | | | | End of split % 89.86/13.04 | | | | % 89.86/13.04 | | | End of split % 89.86/13.04 | | | % 89.86/13.04 | | End of split % 89.86/13.04 | | % 89.86/13.04 | End of split % 89.86/13.04 | % 89.86/13.04 End of proof % 89.86/13.04 % 89.86/13.04 Sub-proof #97 shows that the following formulas are inconsistent: % 89.86/13.04 ---------------------------------------------------------------- % 89.86/13.04 (1) all_6_17 = all_4_13 % 89.86/13.04 (2) all_6_17 = e0 % 89.86/13.04 (3) ~ (all_4_13 = e0) % 89.86/13.04 % 89.86/13.04 Begin of proof % 89.86/13.04 | % 89.86/13.04 | COMBINE_EQS: (1), (2) imply: % 89.86/13.04 | (4) all_4_13 = e0 % 89.86/13.04 | % 89.86/13.04 | SIMP: (4) implies: % 89.86/13.04 | (5) all_4_13 = e0 % 89.86/13.04 | % 89.86/13.04 | REDUCE: (3), (5) imply: % 89.86/13.04 | (6) $false % 89.86/13.04 | % 89.86/13.04 | CLOSE: (6) is inconsistent. % 89.86/13.04 | % 89.86/13.04 End of proof % 89.86/13.04 % 89.86/13.04 Sub-proof #98 shows that the following formulas are inconsistent: % 89.86/13.04 ---------------------------------------------------------------- % 89.86/13.04 (1) all_6_17 = all_4_13 % 89.86/13.04 (2) all_6_17 = e1 % 89.86/13.04 (3) ~ (all_4_13 = e1) % 89.86/13.04 % 89.86/13.04 Begin of proof % 89.86/13.04 | % 89.86/13.04 | COMBINE_EQS: (1), (2) imply: % 89.86/13.04 | (4) all_4_13 = e1 % 89.86/13.04 | % 89.86/13.04 | SIMP: (4) implies: % 89.86/13.04 | (5) all_4_13 = e1 % 89.86/13.04 | % 89.86/13.04 | REDUCE: (3), (5) imply: % 89.86/13.04 | (6) $false % 89.86/13.04 | % 89.86/13.04 | CLOSE: (6) is inconsistent. % 89.86/13.04 | % 89.86/13.04 End of proof % 89.86/13.04 % 89.86/13.04 Sub-proof #99 shows that the following formulas are inconsistent: % 89.86/13.04 ---------------------------------------------------------------- % 89.86/13.04 (1) all_6_17 = all_4_13 % 89.86/13.04 (2) all_6_17 = e2 % 89.86/13.04 (3) ~ (all_4_13 = e2) % 89.86/13.04 % 89.86/13.04 Begin of proof % 89.86/13.04 | % 89.86/13.04 | COMBINE_EQS: (1), (2) imply: % 89.86/13.04 | (4) all_4_13 = e2 % 89.86/13.04 | % 89.86/13.04 | SIMP: (4) implies: % 89.86/13.04 | (5) all_4_13 = e2 % 89.86/13.04 | % 89.86/13.04 | REDUCE: (3), (5) imply: % 89.86/13.04 | (6) $false % 89.86/13.04 | % 89.86/13.04 | CLOSE: (6) is inconsistent. % 89.86/13.04 | % 89.86/13.04 End of proof % 89.86/13.04 % 89.86/13.04 Sub-proof #100 shows that the following formulas are inconsistent: % 89.86/13.04 ---------------------------------------------------------------- % 89.86/13.04 (1) all_6_17 = all_4_13 % 89.86/13.05 (2) all_6_17 = e3 % 89.86/13.05 (3) ~ (all_4_13 = e3) % 89.86/13.05 % 89.86/13.05 Begin of proof % 89.86/13.05 | % 89.86/13.05 | COMBINE_EQS: (1), (2) imply: % 89.86/13.05 | (4) all_4_13 = e3 % 89.86/13.05 | % 89.86/13.05 | SIMP: (4) implies: % 89.86/13.05 | (5) all_4_13 = e3 % 89.86/13.05 | % 89.86/13.05 | REDUCE: (3), (5) imply: % 89.86/13.05 | (6) $false % 89.86/13.05 | % 89.86/13.05 | CLOSE: (6) is inconsistent. % 89.86/13.05 | % 89.86/13.05 End of proof % 89.86/13.05 % 89.86/13.05 Sub-proof #101 shows that the following formulas are inconsistent: % 89.86/13.05 ---------------------------------------------------------------- % 89.86/13.05 (1) all_8_14 = e2 & op(e1, e2) = e2 % 89.86/13.05 (2) all_8_14 = e0 % 89.86/13.05 (3) ~ (e2 = e0) % 89.86/13.05 % 89.86/13.05 Begin of proof % 89.86/13.05 | % 89.86/13.05 | ALPHA: (1) implies: % 89.86/13.05 | (4) all_8_14 = e2 % 89.86/13.05 | % 89.86/13.05 | COMBINE_EQS: (2), (4) imply: % 89.86/13.05 | (5) e2 = e0 % 89.86/13.05 | % 89.86/13.05 | REDUCE: (3), (5) imply: % 89.86/13.05 | (6) $false % 89.86/13.05 | % 89.86/13.05 | CLOSE: (6) is inconsistent. % 89.86/13.05 | % 89.86/13.05 End of proof % 89.86/13.05 % 89.86/13.05 Sub-proof #102 shows that the following formulas are inconsistent: % 89.86/13.05 ---------------------------------------------------------------- % 89.86/13.05 (1) all_8_8 = e2 & op(e2, e2) = e2 % 89.86/13.05 (2) all_4_12 = e2 | ~ (op(e2, e2) = e2) % 89.86/13.05 (3) all_4_12 = e3 % 89.86/13.05 (4) ~ (e3 = e2) % 89.86/13.05 % 89.86/13.05 Begin of proof % 89.86/13.05 | % 89.86/13.05 | ALPHA: (1) implies: % 89.86/13.05 | (5) op(e2, e2) = e2 % 89.86/13.05 | % 89.86/13.05 | BETA: splitting (2) gives: % 89.86/13.05 | % 89.86/13.05 | Case 1: % 89.86/13.05 | | % 89.86/13.05 | | (6) ~ (op(e2, e2) = e2) % 89.86/13.05 | | % 89.86/13.05 | | PRED_UNIFY: (5), (6) imply: % 89.86/13.05 | | (7) $false % 89.86/13.05 | | % 89.86/13.05 | | CLOSE: (7) is inconsistent. % 89.86/13.05 | | % 89.86/13.05 | Case 2: % 89.86/13.05 | | % 89.86/13.05 | | (8) all_4_12 = e2 % 89.86/13.05 | | % 89.86/13.05 | | COMBINE_EQS: (3), (8) imply: % 89.86/13.05 | | (9) e3 = e2 % 89.86/13.05 | | % 89.86/13.05 | | SIMP: (9) implies: % 89.86/13.05 | | (10) e3 = e2 % 89.86/13.05 | | % 89.86/13.05 | | REDUCE: (4), (10) imply: % 89.86/13.05 | | (11) $false % 89.86/13.05 | | % 89.86/13.05 | | CLOSE: (11) is inconsistent. % 89.86/13.05 | | % 89.86/13.05 | End of split % 89.86/13.05 | % 89.86/13.05 End of proof % 89.86/13.05 % 89.86/13.05 Sub-proof #103 shows that the following formulas are inconsistent: % 89.86/13.05 ---------------------------------------------------------------- % 89.86/13.05 (1) all_8_4 = e0 & op(e4, e2) = e0 % 89.86/13.05 (2) all_8_4 = e3 % 89.86/13.05 (3) ~ (e3 = e0) % 89.86/13.05 % 89.86/13.05 Begin of proof % 89.86/13.05 | % 89.86/13.05 | ALPHA: (1) implies: % 89.86/13.05 | (4) all_8_4 = e0 % 89.86/13.05 | % 89.86/13.05 | COMBINE_EQS: (2), (4) imply: % 89.86/13.05 | (5) e3 = e0 % 89.86/13.05 | % 89.86/13.05 | REDUCE: (3), (5) imply: % 89.86/13.05 | (6) $false % 89.86/13.05 | % 89.86/13.05 | CLOSE: (6) is inconsistent. % 89.86/13.05 | % 89.86/13.05 End of proof % 89.86/13.05 % 89.86/13.05 Sub-proof #104 shows that the following formulas are inconsistent: % 89.86/13.05 ---------------------------------------------------------------- % 89.86/13.05 (1) all_8_3 = e1 & op(e3, e3) = e1 % 89.86/13.05 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.86/13.05 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.86/13.05 (3) op(e3, e3) = e4 % 89.86/13.05 (4) ~ (e4 = e1) % 89.86/13.05 % 89.86/13.05 Begin of proof % 89.86/13.05 | % 89.86/13.05 | ALPHA: (1) implies: % 89.86/13.05 | (5) op(e3, e3) = e1 % 89.86/13.05 | % 89.86/13.05 | GROUND_INST: instantiating (2) with e4, e1, e3, e3, simplifying with (3), (5) % 89.86/13.05 | gives: % 89.86/13.05 | (6) e4 = e1 % 89.86/13.05 | % 89.86/13.05 | REDUCE: (4), (6) imply: % 89.86/13.05 | (7) $false % 89.86/13.05 | % 89.86/13.05 | CLOSE: (7) is inconsistent. % 89.86/13.05 | % 89.86/13.05 End of proof % 89.86/13.05 % 89.86/13.05 Sub-proof #105 shows that the following formulas are inconsistent: % 89.86/13.05 ---------------------------------------------------------------- % 89.86/13.05 (1) all_8_2 = e1 & op(e3, e4) = e1 % 89.86/13.05 (2) ~ (e4 = e0) % 89.86/13.05 (3) ~ (e3 = e1) % 89.86/13.05 (4) ~ (e2 = e0) % 89.86/13.05 (5) all_8_3 = e4 % 89.86/13.05 (6) ~ (e2 = e1) % 89.86/13.05 (7) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) = e3) | % 89.86/13.05 (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) = e3) | % 89.86/13.05 (all_8_17 = e3 & op(e3, e0) = e3) % 89.86/13.05 (8) e2 = e1 | ~ (op(e3, e2) = e2) % 89.86/13.05 (9) op(e3, e2) = e1 % 89.86/13.05 (10) ~ (e4 = e3) % 89.86/13.05 (11) ~ (e1 = e0) % 89.86/13.05 (12) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) | % 89.86/13.05 (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) | % 89.86/13.05 (all_8_17 = e0 & op(e3, e0) = e0) % 89.86/13.05 (13) ~ (e3 = e0) % 89.86/13.05 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.86/13.05 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.86/13.05 (15) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & op(e3, e3) = e2) | % 89.86/13.05 (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & op(e3, e1) = e2) | % 89.86/13.05 (all_8_17 = e2 & op(e3, e0) = e2) % 89.86/13.05 (16) e3 = e1 | ~ (op(e3, e2) = e3) % 89.86/13.05 (17) ~ (e3 = e2) % 89.86/13.05 (18) ~ (e4 = e2) % 89.86/13.05 % 89.86/13.05 Begin of proof % 89.86/13.05 | % 89.86/13.05 | ALPHA: (1) implies: % 89.86/13.05 | (19) all_8_2 = e1 % 89.86/13.05 | % 89.86/13.05 | BETA: splitting (12) gives: % 89.86/13.05 | % 89.86/13.05 | Case 1: % 89.86/13.05 | | % 89.86/13.05 | | (20) (all_8_2 = e0 & op(e3, e4) = e0) | (all_8_3 = e0 & op(e3, e3) = e0) % 89.86/13.05 | | % 89.86/13.05 | | BETA: splitting (20) gives: % 89.86/13.05 | | % 89.86/13.05 | | Case 1: % 89.86/13.05 | | | % 89.86/13.05 | | | (21) all_8_2 = e0 & op(e3, e4) = e0 % 89.86/13.05 | | | % 89.86/13.05 | | | REF_CLOSE: (11), (19), (21) are inconsistent by sub-proof #117. % 89.86/13.05 | | | % 89.86/13.05 | | Case 2: % 89.86/13.05 | | | % 89.86/13.05 | | | (22) all_8_3 = e0 & op(e3, e3) = e0 % 89.86/13.05 | | | % 89.86/13.05 | | | REF_CLOSE: (2), (5), (22) are inconsistent by sub-proof #116. % 89.86/13.05 | | | % 89.86/13.05 | | End of split % 89.86/13.05 | | % 89.86/13.05 | Case 2: % 89.86/13.05 | | % 89.86/13.05 | | (23) (all_8_5 = e0 & op(e3, e2) = e0) | (all_8_10 = e0 & op(e3, e1) = e0) % 89.86/13.05 | | | (all_8_17 = e0 & op(e3, e0) = e0) % 89.86/13.05 | | % 89.86/13.05 | | BETA: splitting (23) gives: % 89.86/13.05 | | % 89.86/13.05 | | Case 1: % 89.86/13.05 | | | % 89.86/13.05 | | | (24) all_8_5 = e0 & op(e3, e2) = e0 % 89.86/13.05 | | | % 89.86/13.05 | | | REF_CLOSE: (9), (11), (14), (24) are inconsistent by sub-proof #115. % 89.86/13.05 | | | % 89.86/13.05 | | Case 2: % 89.86/13.05 | | | % 89.86/13.05 | | | (25) (all_8_10 = e0 & op(e3, e1) = e0) | (all_8_17 = e0 & op(e3, e0) = % 89.86/13.05 | | | e0) % 89.86/13.05 | | | % 89.86/13.05 | | | BETA: splitting (25) gives: % 89.86/13.05 | | | % 89.86/13.05 | | | Case 1: % 89.86/13.05 | | | | % 89.86/13.05 | | | | (26) all_8_10 = e0 & op(e3, e1) = e0 % 89.86/13.05 | | | | % 89.86/13.05 | | | | ALPHA: (26) implies: % 89.86/13.05 | | | | (27) all_8_10 = e0 % 89.86/13.05 | | | | % 89.86/13.05 | | | | BETA: splitting (7) gives: % 89.86/13.05 | | | | % 89.86/13.05 | | | | Case 1: % 89.86/13.05 | | | | | % 89.86/13.05 | | | | | (28) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) % 89.86/13.05 | | | | | = e3) % 89.86/13.05 | | | | | % 89.86/13.05 | | | | | BETA: splitting (28) gives: % 89.86/13.05 | | | | | % 89.86/13.05 | | | | | Case 1: % 89.86/13.05 | | | | | | % 89.86/13.05 | | | | | | (29) all_8_2 = e3 & op(e3, e4) = e3 % 89.86/13.05 | | | | | | % 89.86/13.05 | | | | | | REF_CLOSE: (3), (19), (29) are inconsistent by sub-proof #114. % 89.86/13.05 | | | | | | % 89.86/13.05 | | | | | Case 2: % 89.86/13.05 | | | | | | % 89.86/13.05 | | | | | | (30) all_8_3 = e3 & op(e3, e3) = e3 % 89.86/13.05 | | | | | | % 89.86/13.05 | | | | | | REF_CLOSE: (5), (10), (30) are inconsistent by sub-proof #113. % 89.86/13.05 | | | | | | % 89.86/13.05 | | | | | End of split % 89.86/13.05 | | | | | % 89.86/13.05 | | | | Case 2: % 89.86/13.05 | | | | | % 89.86/13.06 | | | | | (31) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) % 89.86/13.06 | | | | | = e3) | (all_8_17 = e3 & op(e3, e0) = e3) % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | BETA: splitting (31) gives: % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | Case 1: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | (32) all_8_5 = e3 & op(e3, e2) = e3 % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | REF_CLOSE: (3), (16), (32) are inconsistent by sub-proof #112. % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | Case 2: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | (33) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 & op(e3, % 89.86/13.06 | | | | | | e0) = e3) % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | BETA: splitting (33) gives: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | Case 1: % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | (34) all_8_10 = e3 & op(e3, e1) = e3 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | REF_CLOSE: (13), (27), (34) are inconsistent by sub-proof #111. % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | Case 2: % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | (35) all_8_17 = e3 & op(e3, e0) = e3 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | ALPHA: (35) implies: % 89.86/13.06 | | | | | | | (36) all_8_17 = e3 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | BETA: splitting (15) gives: % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | (37) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & % 89.86/13.06 | | | | | | | | op(e3, e3) = e2) % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | BETA: splitting (37) gives: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (38) all_8_2 = e2 & op(e3, e4) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | REF_CLOSE: (6), (19), (38) are inconsistent by sub-proof #110. % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (39) all_8_3 = e2 & op(e3, e3) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | REF_CLOSE: (5), (18), (39) are inconsistent by sub-proof #109. % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | End of split % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | (40) (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & % 89.86/13.06 | | | | | | | | op(e3, e1) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | BETA: splitting (40) gives: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (41) all_8_5 = e2 & op(e3, e2) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | ALPHA: (41) implies: % 89.86/13.06 | | | | | | | | | (42) op(e3, e2) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | REF_CLOSE: (6), (8), (42) are inconsistent by sub-proof #108. % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (43) (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 & % 89.86/13.06 | | | | | | | | | op(e3, e0) = e2) % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | BETA: splitting (43) gives: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | (44) all_8_10 = e2 & op(e3, e1) = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | REF_CLOSE: (4), (27), (44) are inconsistent by sub-proof % 89.86/13.06 | | | | | | | | | | #107. % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | (45) all_8_17 = e2 & op(e3, e0) = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | ALPHA: (45) implies: % 89.86/13.06 | | | | | | | | | | (46) all_8_17 = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | COMBINE_EQS: (36), (46) imply: % 89.86/13.06 | | | | | | | | | | (47) e3 = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | SIMP: (47) implies: % 89.86/13.06 | | | | | | | | | | (48) e3 = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | REDUCE: (17), (48) imply: % 89.86/13.06 | | | | | | | | | | (49) $false % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | CLOSE: (49) is inconsistent. % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | End of split % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | End of split % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | End of split % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | End of split % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | End of split % 89.86/13.06 | | | | | % 89.86/13.06 | | | | End of split % 89.86/13.06 | | | | % 89.86/13.06 | | | Case 2: % 89.86/13.06 | | | | % 89.86/13.06 | | | | (50) all_8_17 = e0 & op(e3, e0) = e0 % 89.86/13.06 | | | | % 89.86/13.06 | | | | ALPHA: (50) implies: % 89.86/13.06 | | | | (51) all_8_17 = e0 % 89.86/13.06 | | | | % 89.86/13.06 | | | | BETA: splitting (7) gives: % 89.86/13.06 | | | | % 89.86/13.06 | | | | Case 1: % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | (52) (all_8_2 = e3 & op(e3, e4) = e3) | (all_8_3 = e3 & op(e3, e3) % 89.86/13.06 | | | | | = e3) % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | BETA: splitting (52) gives: % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | Case 1: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | (53) all_8_2 = e3 & op(e3, e4) = e3 % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | REF_CLOSE: (3), (19), (53) are inconsistent by sub-proof #114. % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | Case 2: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | (54) all_8_3 = e3 & op(e3, e3) = e3 % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | REF_CLOSE: (5), (10), (54) are inconsistent by sub-proof #113. % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | End of split % 89.86/13.06 | | | | | % 89.86/13.06 | | | | Case 2: % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | (55) (all_8_5 = e3 & op(e3, e2) = e3) | (all_8_10 = e3 & op(e3, e1) % 89.86/13.06 | | | | | = e3) | (all_8_17 = e3 & op(e3, e0) = e3) % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | BETA: splitting (55) gives: % 89.86/13.06 | | | | | % 89.86/13.06 | | | | | Case 1: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | (56) all_8_5 = e3 & op(e3, e2) = e3 % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | REF_CLOSE: (3), (16), (56) are inconsistent by sub-proof #112. % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | Case 2: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | (57) (all_8_10 = e3 & op(e3, e1) = e3) | (all_8_17 = e3 & op(e3, % 89.86/13.06 | | | | | | e0) = e3) % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | BETA: splitting (57) gives: % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | | Case 1: % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | (58) all_8_10 = e3 & op(e3, e1) = e3 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | ALPHA: (58) implies: % 89.86/13.06 | | | | | | | (59) all_8_10 = e3 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | BETA: splitting (15) gives: % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | (60) (all_8_2 = e2 & op(e3, e4) = e2) | (all_8_3 = e2 & % 89.86/13.06 | | | | | | | | op(e3, e3) = e2) % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | BETA: splitting (60) gives: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (61) all_8_2 = e2 & op(e3, e4) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | REF_CLOSE: (6), (19), (61) are inconsistent by sub-proof #110. % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (62) all_8_3 = e2 & op(e3, e3) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | REF_CLOSE: (5), (18), (62) are inconsistent by sub-proof #109. % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | End of split % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | (63) (all_8_5 = e2 & op(e3, e2) = e2) | (all_8_10 = e2 & % 89.86/13.06 | | | | | | | | op(e3, e1) = e2) | (all_8_17 = e2 & op(e3, e0) = e2) % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | BETA: splitting (63) gives: % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (64) all_8_5 = e2 & op(e3, e2) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | ALPHA: (64) implies: % 89.86/13.06 | | | | | | | | | (65) op(e3, e2) = e2 % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | REF_CLOSE: (6), (8), (65) are inconsistent by sub-proof #108. % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | (66) (all_8_10 = e2 & op(e3, e1) = e2) | (all_8_17 = e2 & % 89.86/13.06 | | | | | | | | | op(e3, e0) = e2) % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | BETA: splitting (66) gives: % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | | Case 1: % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | (67) all_8_10 = e2 & op(e3, e1) = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | REF_CLOSE: (17), (59), (67) are inconsistent by sub-proof % 89.86/13.06 | | | | | | | | | | #106. % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | Case 2: % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | (68) all_8_17 = e2 & op(e3, e0) = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | ALPHA: (68) implies: % 89.86/13.06 | | | | | | | | | | (69) all_8_17 = e2 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | COMBINE_EQS: (51), (69) imply: % 89.86/13.06 | | | | | | | | | | (70) e2 = e0 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | SIMP: (70) implies: % 89.86/13.06 | | | | | | | | | | (71) e2 = e0 % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | REDUCE: (4), (71) imply: % 89.86/13.06 | | | | | | | | | | (72) $false % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | | CLOSE: (72) is inconsistent. % 89.86/13.06 | | | | | | | | | | % 89.86/13.06 | | | | | | | | | End of split % 89.86/13.06 | | | | | | | | | % 89.86/13.06 | | | | | | | | End of split % 89.86/13.06 | | | | | | | | % 89.86/13.06 | | | | | | | End of split % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | Case 2: % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | (73) all_8_17 = e3 & op(e3, e0) = e3 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | ALPHA: (73) implies: % 89.86/13.06 | | | | | | | (74) all_8_17 = e3 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | COMBINE_EQS: (51), (74) imply: % 89.86/13.06 | | | | | | | (75) e3 = e0 % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | REDUCE: (13), (75) imply: % 89.86/13.06 | | | | | | | (76) $false % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | | CLOSE: (76) is inconsistent. % 89.86/13.06 | | | | | | | % 89.86/13.06 | | | | | | End of split % 89.86/13.06 | | | | | | % 89.86/13.06 | | | | | End of split % 89.86/13.06 | | | | | % 89.86/13.06 | | | | End of split % 89.86/13.06 | | | | % 89.86/13.06 | | | End of split % 89.86/13.06 | | | % 89.86/13.06 | | End of split % 89.86/13.06 | | % 89.86/13.06 | End of split % 89.86/13.06 | % 89.86/13.06 End of proof % 89.86/13.06 % 89.86/13.06 Sub-proof #106 shows that the following formulas are inconsistent: % 89.86/13.06 ---------------------------------------------------------------- % 89.86/13.06 (1) all_8_10 = e2 & op(e3, e1) = e2 % 89.86/13.06 (2) all_8_10 = e3 % 89.86/13.06 (3) ~ (e3 = e2) % 89.86/13.06 % 89.86/13.06 Begin of proof % 89.86/13.06 | % 89.86/13.06 | ALPHA: (1) implies: % 89.86/13.06 | (4) all_8_10 = e2 % 89.86/13.06 | % 89.86/13.06 | COMBINE_EQS: (2), (4) imply: % 89.86/13.06 | (5) e3 = e2 % 89.86/13.06 | % 89.86/13.06 | REDUCE: (3), (5) imply: % 89.86/13.06 | (6) $false % 89.86/13.06 | % 89.86/13.06 | CLOSE: (6) is inconsistent. % 89.86/13.06 | % 89.86/13.06 End of proof % 89.86/13.06 % 89.86/13.06 Sub-proof #107 shows that the following formulas are inconsistent: % 89.86/13.06 ---------------------------------------------------------------- % 89.86/13.06 (1) all_8_10 = e2 & op(e3, e1) = e2 % 89.86/13.06 (2) all_8_10 = e0 % 89.86/13.06 (3) ~ (e2 = e0) % 89.86/13.06 % 89.86/13.06 Begin of proof % 89.86/13.06 | % 89.86/13.06 | ALPHA: (1) implies: % 89.86/13.06 | (4) all_8_10 = e2 % 89.86/13.06 | % 89.86/13.06 | COMBINE_EQS: (2), (4) imply: % 89.86/13.06 | (5) e2 = e0 % 89.86/13.06 | % 89.86/13.06 | SIMP: (5) implies: % 89.86/13.06 | (6) e2 = e0 % 89.86/13.06 | % 89.86/13.06 | REDUCE: (3), (6) imply: % 89.86/13.06 | (7) $false % 89.86/13.06 | % 89.86/13.06 | CLOSE: (7) is inconsistent. % 89.86/13.06 | % 89.86/13.06 End of proof % 89.86/13.06 % 89.86/13.06 Sub-proof #108 shows that the following formulas are inconsistent: % 89.86/13.06 ---------------------------------------------------------------- % 89.86/13.06 (1) e2 = e1 | ~ (op(e3, e2) = e2) % 89.86/13.06 (2) op(e3, e2) = e2 % 89.86/13.06 (3) ~ (e2 = e1) % 89.86/13.06 % 89.86/13.06 Begin of proof % 89.86/13.06 | % 89.86/13.06 | BETA: splitting (1) gives: % 89.86/13.06 | % 89.86/13.06 | Case 1: % 89.86/13.06 | | % 89.86/13.06 | | (4) ~ (op(e3, e2) = e2) % 89.86/13.06 | | % 89.86/13.06 | | PRED_UNIFY: (2), (4) imply: % 89.86/13.06 | | (5) $false % 89.86/13.06 | | % 89.86/13.06 | | CLOSE: (5) is inconsistent. % 89.86/13.06 | | % 89.86/13.06 | Case 2: % 89.86/13.06 | | % 89.86/13.06 | | (6) e2 = e1 % 89.86/13.06 | | % 89.86/13.06 | | REDUCE: (3), (6) imply: % 89.86/13.06 | | (7) $false % 89.86/13.06 | | % 89.86/13.06 | | CLOSE: (7) is inconsistent. % 89.86/13.06 | | % 89.86/13.06 | End of split % 89.86/13.06 | % 89.86/13.06 End of proof % 89.86/13.06 % 89.86/13.06 Sub-proof #109 shows that the following formulas are inconsistent: % 89.86/13.06 ---------------------------------------------------------------- % 89.86/13.06 (1) all_8_3 = e2 & op(e3, e3) = e2 % 89.86/13.06 (2) all_8_3 = e4 % 89.86/13.06 (3) ~ (e4 = e2) % 89.86/13.06 % 89.86/13.06 Begin of proof % 89.86/13.06 | % 89.86/13.06 | ALPHA: (1) implies: % 89.86/13.06 | (4) all_8_3 = e2 % 89.86/13.06 | % 89.86/13.06 | COMBINE_EQS: (2), (4) imply: % 89.86/13.06 | (5) e4 = e2 % 89.86/13.06 | % 89.86/13.06 | REDUCE: (3), (5) imply: % 89.86/13.06 | (6) $false % 89.86/13.06 | % 89.86/13.06 | CLOSE: (6) is inconsistent. % 89.86/13.06 | % 89.86/13.06 End of proof % 89.86/13.06 % 89.86/13.06 Sub-proof #110 shows that the following formulas are inconsistent: % 89.86/13.06 ---------------------------------------------------------------- % 89.86/13.06 (1) all_8_2 = e2 & op(e3, e4) = e2 % 89.86/13.06 (2) all_8_2 = e1 % 89.86/13.06 (3) ~ (e2 = e1) % 89.86/13.06 % 89.86/13.06 Begin of proof % 89.86/13.06 | % 89.86/13.06 | ALPHA: (1) implies: % 89.86/13.06 | (4) all_8_2 = e2 % 89.86/13.06 | % 89.86/13.06 | COMBINE_EQS: (2), (4) imply: % 89.86/13.06 | (5) e2 = e1 % 89.86/13.06 | % 89.86/13.06 | SIMP: (5) implies: % 89.86/13.06 | (6) e2 = e1 % 89.86/13.06 | % 89.86/13.07 | REDUCE: (3), (6) imply: % 89.86/13.07 | (7) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (7) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #111 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_10 = e3 & op(e3, e1) = e3 % 89.86/13.07 (2) all_8_10 = e0 % 89.86/13.07 (3) ~ (e3 = e0) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (4) all_8_10 = e3 % 89.86/13.07 | % 89.86/13.07 | COMBINE_EQS: (2), (4) imply: % 89.86/13.07 | (5) e3 = e0 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (3), (5) imply: % 89.86/13.07 | (6) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (6) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #112 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_5 = e3 & op(e3, e2) = e3 % 89.86/13.07 (2) e3 = e1 | ~ (op(e3, e2) = e3) % 89.86/13.07 (3) ~ (e3 = e1) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (4) op(e3, e2) = e3 % 89.86/13.07 | % 89.86/13.07 | BETA: splitting (2) gives: % 89.86/13.07 | % 89.86/13.07 | Case 1: % 89.86/13.07 | | % 89.86/13.07 | | (5) ~ (op(e3, e2) = e3) % 89.86/13.07 | | % 89.86/13.07 | | PRED_UNIFY: (4), (5) imply: % 89.86/13.07 | | (6) $false % 89.86/13.07 | | % 89.86/13.07 | | CLOSE: (6) is inconsistent. % 89.86/13.07 | | % 89.86/13.07 | Case 2: % 89.86/13.07 | | % 89.86/13.07 | | (7) e3 = e1 % 89.86/13.07 | | % 89.86/13.07 | | REDUCE: (3), (7) imply: % 89.86/13.07 | | (8) $false % 89.86/13.07 | | % 89.86/13.07 | | CLOSE: (8) is inconsistent. % 89.86/13.07 | | % 89.86/13.07 | End of split % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #113 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_3 = e3 & op(e3, e3) = e3 % 89.86/13.07 (2) all_8_3 = e4 % 89.86/13.07 (3) ~ (e4 = e3) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (4) all_8_3 = e3 % 89.86/13.07 | % 89.86/13.07 | COMBINE_EQS: (2), (4) imply: % 89.86/13.07 | (5) e4 = e3 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (3), (5) imply: % 89.86/13.07 | (6) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (6) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #114 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_2 = e3 & op(e3, e4) = e3 % 89.86/13.07 (2) all_8_2 = e1 % 89.86/13.07 (3) ~ (e3 = e1) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (4) all_8_2 = e3 % 89.86/13.07 | % 89.86/13.07 | COMBINE_EQS: (2), (4) imply: % 89.86/13.07 | (5) e3 = e1 % 89.86/13.07 | % 89.86/13.07 | SIMP: (5) implies: % 89.86/13.07 | (6) e3 = e1 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (3), (6) imply: % 89.86/13.07 | (7) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (7) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #115 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_5 = e0 & op(e3, e2) = e0 % 89.86/13.07 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.86/13.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.86/13.07 (3) op(e3, e2) = e1 % 89.86/13.07 (4) ~ (e1 = e0) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (5) op(e3, e2) = e0 % 89.86/13.07 | % 89.86/13.07 | GROUND_INST: instantiating (2) with e1, e0, e2, e3, simplifying with (3), (5) % 89.86/13.07 | gives: % 89.86/13.07 | (6) e1 = e0 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (4), (6) imply: % 89.86/13.07 | (7) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (7) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #116 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_3 = e0 & op(e3, e3) = e0 % 89.86/13.07 (2) all_8_3 = e4 % 89.86/13.07 (3) ~ (e4 = e0) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (4) all_8_3 = e0 % 89.86/13.07 | % 89.86/13.07 | COMBINE_EQS: (2), (4) imply: % 89.86/13.07 | (5) e4 = e0 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (3), (5) imply: % 89.86/13.07 | (6) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (6) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #117 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_2 = e0 & op(e3, e4) = e0 % 89.86/13.07 (2) all_8_2 = e1 % 89.86/13.07 (3) ~ (e1 = e0) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (4) all_8_2 = e0 % 89.86/13.07 | % 89.86/13.07 | COMBINE_EQS: (2), (4) imply: % 89.86/13.07 | (5) e1 = e0 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (3), (5) imply: % 89.86/13.07 | (6) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (6) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #118 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_11 = e0 & op(e2, e1) = e0 % 89.86/13.07 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.86/13.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.86/13.07 (3) op(e2, e1) = all_4_17 % 89.86/13.07 (4) ~ (all_4_17 = e0) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (5) op(e2, e1) = e0 % 89.86/13.07 | % 89.86/13.07 | GROUND_INST: instantiating (2) with all_4_17, e0, e1, e2, simplifying with % 89.86/13.07 | (3), (5) gives: % 89.86/13.07 | (6) all_4_17 = e0 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (4), (6) imply: % 89.86/13.07 | (7) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (7) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #119 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_10 = e0 & op(e3, e1) = e0 % 89.86/13.07 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.86/13.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.86/13.07 (3) op(e3, e1) = all_4_16 % 89.86/13.07 (4) ~ (all_4_16 = e0) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (5) op(e3, e1) = e0 % 89.86/13.07 | % 89.86/13.07 | GROUND_INST: instantiating (2) with all_4_16, e0, e1, e3, simplifying with % 89.86/13.07 | (3), (5) gives: % 89.86/13.07 | (6) all_4_16 = e0 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (4), (6) imply: % 89.86/13.07 | (7) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (7) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #120 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_9 = e0 & op(e4, e1) = e0 % 89.86/13.07 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 89.86/13.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 89.86/13.07 (3) op(e4, e1) = all_4_15 % 89.86/13.07 (4) ~ (all_4_15 = e0) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (5) op(e4, e1) = e0 % 89.86/13.07 | % 89.86/13.07 | GROUND_INST: instantiating (2) with all_4_15, e0, e1, e4, simplifying with % 89.86/13.07 | (3), (5) gives: % 89.86/13.07 | (6) all_4_15 = e0 % 89.86/13.07 | % 89.86/13.07 | REDUCE: (4), (6) imply: % 89.86/13.07 | (7) $false % 89.86/13.07 | % 89.86/13.07 | CLOSE: (7) is inconsistent. % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % 89.86/13.07 Sub-proof #121 shows that the following formulas are inconsistent: % 89.86/13.07 ---------------------------------------------------------------- % 89.86/13.07 (1) all_8_2 = e4 & op(e3, e4) = e4 % 89.86/13.07 (2) all_4_1 = e4 | ~ (op(e3, e4) = e4) % 89.86/13.07 (3) ~ (all_4_1 = e4) % 89.86/13.07 % 89.86/13.07 Begin of proof % 89.86/13.07 | % 89.86/13.07 | ALPHA: (1) implies: % 89.86/13.07 | (4) op(e3, e4) = e4 % 89.86/13.07 | % 89.86/13.07 | BETA: splitting (2) gives: % 89.86/13.07 | % 89.86/13.07 | Case 1: % 89.86/13.07 | | % 89.86/13.07 | | (5) ~ (op(e3, e4) = e4) % 89.86/13.07 | | % 89.86/13.07 | | PRED_UNIFY: (4), (5) imply: % 89.86/13.07 | | (6) $false % 89.86/13.07 | | % 89.86/13.07 | | CLOSE: (6) is inconsistent. % 89.86/13.07 | | % 89.86/13.07 | Case 2: % 89.86/13.07 | | % 89.86/13.07 | | (7) all_4_1 = e4 % 89.86/13.07 | | % 89.86/13.07 | | REDUCE: (3), (7) imply: % 89.86/13.07 | | (8) $false % 89.86/13.07 | | % 89.86/13.07 | | CLOSE: (8) is inconsistent. % 89.86/13.07 | | % 89.86/13.07 | End of split % 89.86/13.07 | % 89.86/13.07 End of proof % 89.86/13.07 % SZS output end Proof for theBenchmark % 89.86/13.07 % 89.86/13.07 12465ms %------------------------------------------------------------------------------