%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG170+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 : n025.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 16:39:38 EDT 2023 % Result : Theorem 10.76s 2.32s % Output : Proof 26.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG170+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n025.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Mon Aug 28 05:06:24 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.62 Running up to 7 provers in parallel. % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.47/1.35 Prover 1: Preprocessing ... % 4.47/1.35 Prover 4: Preprocessing ... % 4.47/1.39 Prover 3: Preprocessing ... % 4.47/1.39 Prover 0: Preprocessing ... % 4.47/1.39 Prover 6: Preprocessing ... % 4.47/1.39 Prover 2: Preprocessing ... % 4.47/1.40 Prover 5: Preprocessing ... % 8.32/1.88 Prover 4: Constructing countermodel ... % 8.32/1.91 Prover 1: Constructing countermodel ... % 8.67/1.92 Prover 0: Constructing countermodel ... % 8.67/1.92 Prover 3: Constructing countermodel ... % 8.67/1.92 Prover 2: Constructing countermodel ... % 8.67/1.94 Prover 6: Constructing countermodel ... % 10.76/2.32 Prover 2: proved (1685ms) % 10.76/2.32 % 10.76/2.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.76/2.32 % 10.76/2.32 Prover 3: stopped % 10.76/2.32 Prover 6: stopped % 11.64/2.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.64/2.35 Prover 0: stopped % 11.64/2.35 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.64/2.35 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.64/2.35 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.15/2.55 Prover 8: Preprocessing ... % 13.40/2.57 Prover 11: Preprocessing ... % 13.40/2.59 Prover 7: Preprocessing ... % 13.91/2.63 Prover 10: Preprocessing ... % 13.91/2.64 Prover 8: Constructing countermodel ... % 14.18/2.70 Prover 5: Constructing countermodel ... % 14.18/2.73 Prover 5: stopped % 14.68/2.74 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 14.95/2.80 Prover 7: Constructing countermodel ... % 14.95/2.82 Prover 11: Constructing countermodel ... % 14.95/2.83 Prover 13: Preprocessing ... % 14.95/2.85 Prover 10: Constructing countermodel ... % 17.14/3.07 Prover 13: Constructing countermodel ... % 23.41/3.96 Prover 4: Found proof (size 1231) % 23.41/3.97 Prover 4: proved (3331ms) % 23.41/3.97 Prover 7: stopped % 23.41/3.97 Prover 11: stopped % 23.41/3.97 Prover 10: stopped % 23.41/3.97 Prover 13: stopped % 23.41/3.97 Prover 8: stopped % 23.41/3.97 Prover 1: stopped % 23.41/3.97 % 23.41/3.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.41/3.97 % 24.60/4.26 % SZS output start Proof for theBenchmark % 24.60/4.27 Assumptions after simplification: % 24.60/4.27 --------------------------------- % 24.60/4.27 % 24.60/4.27 (ax1) % 25.12/4.32 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.32 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.32 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.32 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.32 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.32 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 25.12/4.32 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 25.12/4.32 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) = % 25.12/4.32 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) = % 25.12/4.32 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 % 25.12/4.32 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 25.12/4.32 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 25.12/4.32 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 25.12/4.33 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.12/4.33 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | % 25.12/4.33 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = % 25.12/4.33 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & % 25.12/4.33 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 = % 25.12/4.33 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | % 25.12/4.33 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 = % 25.12/4.33 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 | % 25.12/4.33 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 = % 25.12/4.33 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 | % 25.12/4.33 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 % 25.12/4.33 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | % 25.12/4.33 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = % 25.12/4.33 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = % 25.12/4.33 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 % 25.12/4.33 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & % 25.12/4.33 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 % 25.12/4.33 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = % 25.12/4.33 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 = % 25.12/4.33 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 % 25.12/4.33 | v0 = e0)) % 25.12/4.33 % 25.12/4.33 (ax2) % 25.12/4.34 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.34 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.34 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.34 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.34 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.34 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 25.12/4.34 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) = % 25.12/4.34 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) = % 25.12/4.34 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) = % 25.12/4.34 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) = % 25.12/4.34 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 25.12/4.34 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 25.12/4.34 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 25.12/4.34 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.12/4.34 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | % 25.12/4.34 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = % 25.12/4.34 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) & % 25.12/4.34 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2 % 25.12/4.34 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 = % 25.12/4.34 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & % 25.12/4.34 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 % 25.12/4.34 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = % 25.12/4.34 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & % 25.12/4.34 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 % 25.12/4.34 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = % 25.12/4.34 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) & % 25.12/4.34 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3 % 25.12/4.34 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 = % 25.12/4.34 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & % 25.12/4.34 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 % 25.12/4.34 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = % 25.12/4.34 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & % 25.12/4.34 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 % 25.12/4.34 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = % 25.12/4.34 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) & % 25.12/4.34 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1 % 25.12/4.34 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 = % 25.12/4.34 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & % 25.12/4.34 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 % 25.12/4.34 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = % 25.12/4.34 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & % 25.12/4.34 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 % 25.12/4.34 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = % 25.12/4.34 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & % 25.12/4.34 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | % 25.12/4.34 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 % 25.12/4.34 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 % 25.12/4.34 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = % 25.12/4.34 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = % 25.12/4.34 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 % 25.12/4.34 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) % 25.12/4.34 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0)))) % 25.12/4.34 % 25.12/4.34 (ax3) % 25.12/4.35 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.35 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.35 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.35 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.35 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.35 [v23: $i] : ? [v24: $i] : (op(v24, v24) = e4 & op(v23, v22) = e4 & op(v22, % 25.12/4.35 v23) = e3 & op(v21, v21) = e3 & op(v20, v19) = e4 & op(v19, v20) = e2 & % 25.12/4.35 op(v18, v17) = e3 & op(v17, v18) = e2 & op(v16, v16) = e2 & op(v15, v14) = % 25.12/4.35 e4 & op(v14, v15) = e1 & op(v13, v12) = e3 & op(v12, v13) = e1 & op(v11, % 25.12/4.35 v10) = e2 & op(v10, v11) = e1 & op(v9, v9) = e1 & op(v8, v7) = e4 & op(v7, % 25.12/4.35 v8) = e0 & op(v6, v5) = e3 & op(v5, v6) = e0 & op(v4, v3) = e2 & op(v3, % 25.12/4.35 v4) = e0 & op(v2, v1) = e1 & op(v1, v2) = e0 & op(v0, v0) = e0 & op(e4, % 25.12/4.35 e4) = v24 & op(e4, e3) = v22 & op(e4, e2) = v19 & op(e4, e1) = v14 & % 25.12/4.35 op(e4, e0) = v7 & op(e3, e4) = v23 & op(e3, e3) = v21 & op(e3, e2) = v17 & % 25.12/4.35 op(e3, e1) = v12 & op(e3, e0) = v5 & op(e2, e4) = v20 & op(e2, e3) = v18 & % 25.12/4.35 op(e2, e2) = v16 & op(e2, e1) = v10 & op(e2, e0) = v3 & op(e1, e4) = v15 & % 25.12/4.35 op(e1, e3) = v13 & op(e1, e2) = v11 & op(e1, e1) = v9 & op(e1, e0) = v1 & % 25.12/4.35 op(e0, e4) = v8 & op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 & % 25.12/4.35 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) % 25.12/4.35 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 25.12/4.35 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 25.12/4.35 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 25.12/4.35 % 25.12/4.35 (ax4) % 25.12/4.36 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.36 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.36 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.36 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.36 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.36 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 25.12/4.36 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 = % 25.12/4.36 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) & % 25.12/4.36 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 = % 25.12/4.36 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) & % 25.12/4.36 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 = % 25.12/4.36 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ % 25.12/4.36 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = % 25.12/4.36 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & % 25.12/4.36 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = % 25.12/4.36 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) & % 25.12/4.36 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 = % 25.12/4.36 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) & % 25.12/4.36 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 = % 25.12/4.36 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & % 25.12/4.36 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = % 25.12/4.36 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ % 25.12/4.36 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ % 25.12/4.36 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~ % 25.12/4.36 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~ % 25.12/4.36 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ % 25.12/4.36 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & % 25.12/4.36 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 & % 25.12/4.36 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & % 25.12/4.36 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & % 25.12/4.36 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & % 25.12/4.36 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 25.12/4.36 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & % 25.12/4.36 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) % 25.12/4.36 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 25.12/4.36 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 25.12/4.36 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 25.12/4.36 % 25.12/4.36 (ax5) % 25.12/4.36 ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ % 25.12/4.36 (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & $i(e4) % 25.12/4.36 & $i(e3) & $i(e2) & $i(e1) & $i(e0) % 25.12/4.36 % 25.12/4.36 (ax6) % 25.12/4.36 op(e4, e4) = e1 & op(e4, e1) = e0 & op(e0, e1) = e2 & op(e0, e0) = e3 & $i(e4) % 25.12/4.36 & $i(e3) & $i(e2) & $i(e1) & $i(e0) % 25.12/4.36 % 25.12/4.36 (co1) % 25.12/4.37 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.37 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.37 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.37 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.37 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.37 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = % 25.12/4.37 v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = % 25.12/4.37 v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = % 25.12/4.37 v22 & op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = % 25.12/4.37 v2 & op(e1, e4) = v21 & op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = % 25.12/4.37 v6 & op(e1, e0) = v1 & op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = % 25.12/4.37 v10 & op(e0, e1) = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & % 25.12/4.37 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & % 25.12/4.37 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 25.12/4.37 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (( ~ (v24 = % 25.12/4.37 e4) & ~ (v23 = e3) & ~ (v22 = e2) & ~ (v21 = e1) & ~ (v20 = e0)) | % 25.12/4.37 ( ~ (v19 = e4) & ~ (v18 = e3) & ~ (v17 = e2) & ~ (v16 = e1) & ~ (v15 = % 25.12/4.37 e0)) | ( ~ (v14 = e4) & ~ (v13 = e3) & ~ (v12 = e2) & ~ (v11 = e1) % 25.12/4.37 & ~ (v10 = e0)) | ( ~ (v9 = e4) & ~ (v8 = e3) & ~ (v7 = e2) & ~ (v6 % 25.12/4.37 = e1) & ~ (v5 = e0)) | ( ~ (v4 = e4) & ~ (v3 = e3) & ~ (v2 = e2) & % 25.12/4.37 ~ (v1 = e1) & ~ (v0 = e0))) & (( ~ (v24 = e4) & ~ (v19 = e3) & ~ (v14 % 25.12/4.37 = e2) & ~ (v9 = e1) & ~ (v4 = e0)) | ( ~ (v23 = e4) & ~ (v18 = e3) % 25.12/4.37 & ~ (v13 = e2) & ~ (v8 = e1) & ~ (v3 = e0)) | ( ~ (v22 = e4) & ~ % 25.12/4.37 (v17 = e3) & ~ (v12 = e2) & ~ (v7 = e1) & ~ (v2 = e0)) | ( ~ (v21 = % 25.12/4.37 e4) & ~ (v16 = e3) & ~ (v11 = e2) & ~ (v6 = e1) & ~ (v1 = e0)) | ( % 25.12/4.37 ~ (v20 = e4) & ~ (v15 = e3) & ~ (v10 = e2) & ~ (v5 = e1) & ~ (v0 = % 25.12/4.37 e0)))) % 25.12/4.37 % 25.12/4.37 (function-axioms) % 25.12/4.37 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 25.12/4.37 v2) = v1) | ~ (op(v3, v2) = v0)) % 25.12/4.37 % 25.12/4.37 Those formulas are unsatisfiable: % 25.12/4.37 --------------------------------- % 25.12/4.37 % 25.12/4.37 Begin of proof % 25.12/4.37 | % 25.12/4.37 | ALPHA: (ax1) implies: % 25.42/4.38 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.42/4.38 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 25.42/4.38 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 25.42/4.38 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 25.42/4.38 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 25.42/4.38 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 & % 25.42/4.38 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 25.42/4.38 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, % 25.42/4.38 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 % 25.42/4.38 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = % 25.42/4.38 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) % 25.42/4.38 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) % 25.42/4.38 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) % 25.42/4.38 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 25.42/4.38 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 25.42/4.38 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1 % 25.42/4.38 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 = % 25.42/4.38 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21 % 25.42/4.38 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 % 25.42/4.38 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 % 25.42/4.38 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 % 25.42/4.38 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 % 25.42/4.38 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & % 25.42/4.38 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 | % 25.42/4.38 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 | % 25.42/4.38 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 | % 25.42/4.38 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 | % 25.42/4.38 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) % 25.42/4.38 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = % 25.42/4.38 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 | % 25.42/4.38 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = % 25.42/4.38 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 % 25.42/4.38 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 % 25.42/4.38 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 % 25.42/4.38 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & % 25.42/4.38 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0)) % 25.42/4.38 | % 25.42/4.38 | ALPHA: (ax2) implies: % 25.42/4.40 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.42/4.40 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 25.42/4.40 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 25.42/4.40 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 25.42/4.40 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 25.42/4.40 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v20 & % 25.42/4.40 | op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) = % 25.42/4.40 | v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, % 25.42/4.40 | e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 % 25.42/4.40 | & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) % 25.42/4.40 | = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, % 25.42/4.40 | e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & % 25.42/4.40 | $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & % 25.42/4.40 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 25.42/4.40 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 25.42/4.40 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | v20 = e4 | % 25.42/4.40 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = e4 | % 25.42/4.40 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) & % 25.42/4.40 | (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | % 25.42/4.40 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | % 25.42/4.40 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | % 25.42/4.40 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | % 25.42/4.40 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 | v15 = e0 | v8 = e0) & % 25.42/4.40 | (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 | v4 = e0) & (v23 = e4 | % 25.42/4.40 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & (v23 = e3 | v21 = e3 | % 25.42/4.40 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 | v17 = e2 | % 25.42/4.40 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = e1 | % 25.42/4.40 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) & % 25.42/4.40 | (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | % 25.42/4.40 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | % 25.42/4.40 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | % 25.42/4.40 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | % 25.42/4.40 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 | v10 = e4 | v2 = e4) & % 25.42/4.40 | (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 | v2 = e3) & (v20 = e2 | % 25.42/4.40 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & (v20 = e1 | v19 = e1 | % 25.42/4.40 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 | v16 = e0 | % 25.42/4.40 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = e4 | % 25.42/4.40 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) & % 25.42/4.40 | (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | % 25.42/4.40 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | % 25.42/4.40 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | % 25.42/4.40 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 % 25.42/4.40 | = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 % 25.42/4.40 | = e1 | v14 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v15 = e0 | v14 = % 25.42/4.40 | e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v12 = e4 | v11 = e4 | v10 = % 25.42/4.40 | e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 | v10 = e3 | v9 = e3 % 25.42/4.40 | | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2 | v5 = e2) & % 25.42/4.40 | (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & (v12 = e0 | % 25.42/4.40 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | v6 % 25.42/4.40 | = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 % 25.42/4.40 | | v0 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & % 25.42/4.40 | (v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = % 25.42/4.40 | e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | % 25.42/4.40 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = % 25.42/4.40 | e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v0 = e0 % 25.42/4.40 | | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) & (v4 = e0 | v3 = e0 | % 25.42/4.40 | v2 = e0 | v1 = e0)))) % 25.42/4.40 | % 25.42/4.40 | ALPHA: (ax3) implies: % 25.42/4.41 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.42/4.41 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 25.42/4.41 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 25.42/4.41 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 25.42/4.41 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 25.42/4.41 | [v24: $i] : (op(v24, v24) = e4 & op(v23, v22) = e4 & op(v22, v23) = e3 % 25.42/4.41 | & op(v21, v21) = e3 & op(v20, v19) = e4 & op(v19, v20) = e2 & op(v18, % 25.42/4.41 | v17) = e3 & op(v17, v18) = e2 & op(v16, v16) = e2 & op(v15, v14) = % 25.42/4.41 | e4 & op(v14, v15) = e1 & op(v13, v12) = e3 & op(v12, v13) = e1 & % 25.42/4.41 | op(v11, v10) = e2 & op(v10, v11) = e1 & op(v9, v9) = e1 & op(v8, v7) % 25.42/4.41 | = e4 & op(v7, v8) = e0 & op(v6, v5) = e3 & op(v5, v6) = e0 & op(v4, % 25.42/4.41 | v3) = e2 & op(v3, v4) = e0 & op(v2, v1) = e1 & op(v1, v2) = e0 & % 25.42/4.41 | op(v0, v0) = e0 & op(e4, e4) = v24 & op(e4, e3) = v22 & op(e4, e2) = % 25.42/4.41 | v19 & op(e4, e1) = v14 & op(e4, e0) = v7 & op(e3, e4) = v23 & op(e3, % 25.42/4.41 | e3) = v21 & op(e3, e2) = v17 & op(e3, e1) = v12 & op(e3, e0) = v5 & % 25.42/4.41 | op(e2, e4) = v20 & op(e2, e3) = v18 & op(e2, e2) = v16 & op(e2, e1) = % 25.42/4.41 | v10 & op(e2, e0) = v3 & op(e1, e4) = v15 & op(e1, e3) = v13 & op(e1, % 25.42/4.41 | e2) = v11 & op(e1, e1) = v9 & op(e1, e0) = v1 & op(e0, e4) = v8 & % 25.42/4.41 | op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 & op(e0, e0) = v0 % 25.42/4.41 | & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) % 25.42/4.41 | & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 25.42/4.41 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 25.42/4.41 | $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 25.42/4.41 | % 25.42/4.41 | ALPHA: (ax4) implies: % 25.42/4.41 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.42/4.41 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 25.42/4.41 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 25.42/4.41 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 25.42/4.41 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 25.42/4.41 | [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & ~ (v24 % 25.42/4.41 | = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 % 25.42/4.41 | = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 % 25.42/4.41 | = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = % 25.42/4.41 | v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = % 25.42/4.41 | v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = % 25.42/4.41 | v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~ (v20 = % 25.42/4.41 | v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~ (v19 = % 25.42/4.41 | v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~ (v19 = % 25.42/4.41 | v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = % 25.42/4.41 | v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = % 25.42/4.41 | v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = % 25.42/4.41 | v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = % 25.42/4.41 | v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = % 25.42/4.41 | v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = % 25.42/4.41 | v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = % 25.42/4.41 | v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~ (v12 = % 25.42/4.41 | v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~ (v11 = % 25.42/4.41 | v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9 = v8) % 25.42/4.41 | & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ (v8 % 25.42/4.41 | = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & % 25.42/4.41 | ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = % 25.42/4.41 | v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & % 25.42/4.41 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 25.42/4.41 | v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, % 25.42/4.41 | e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) = v23 & % 25.42/4.41 | op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) = % 25.42/4.41 | v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2, % 25.42/4.41 | e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, e3) = v16 & % 25.42/4.41 | op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & op(e0, e4) = % 25.42/4.41 | v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & op(e0, % 25.42/4.41 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 25.42/4.41 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 25.42/4.41 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.42/4.41 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 25.42/4.41 | % 25.42/4.41 | ALPHA: (ax5) implies: % 25.42/4.41 | (5) ~ (e3 = e0) % 25.42/4.41 | % 25.42/4.41 | ALPHA: (ax6) implies: % 25.42/4.41 | (6) op(e0, e0) = e3 % 25.42/4.42 | (7) op(e0, e1) = e2 % 25.42/4.42 | (8) op(e4, e1) = e0 % 25.42/4.42 | (9) op(e4, e4) = e1 % 25.42/4.42 | % 25.42/4.42 | ALPHA: (co1) implies: % 25.42/4.42 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.42/4.42 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 25.42/4.42 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 25.42/4.42 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 25.42/4.42 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 25.42/4.42 | : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = % 25.42/4.42 | v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, % 25.42/4.42 | e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) = v3 & % 25.42/4.42 | op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2, e1) % 25.42/4.42 | = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, e3) = v16 & % 25.42/4.42 | op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & op(e0, e4) = % 25.42/4.42 | v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & op(e0, % 25.42/4.42 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 25.42/4.42 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 25.42/4.42 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.42/4.42 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (( ~ (v24 = % 25.42/4.42 | e4) & ~ (v23 = e3) & ~ (v22 = e2) & ~ (v21 = e1) & ~ (v20 % 25.42/4.42 | = e0)) | ( ~ (v19 = e4) & ~ (v18 = e3) & ~ (v17 = e2) & ~ % 25.42/4.42 | (v16 = e1) & ~ (v15 = e0)) | ( ~ (v14 = e4) & ~ (v13 = e3) & % 25.42/4.42 | ~ (v12 = e2) & ~ (v11 = e1) & ~ (v10 = e0)) | ( ~ (v9 = e4) & % 25.42/4.42 | ~ (v8 = e3) & ~ (v7 = e2) & ~ (v6 = e1) & ~ (v5 = e0)) | ( ~ % 25.42/4.42 | (v4 = e4) & ~ (v3 = e3) & ~ (v2 = e2) & ~ (v1 = e1) & ~ (v0 % 25.42/4.42 | = e0))) & (( ~ (v24 = e4) & ~ (v19 = e3) & ~ (v14 = e2) & ~ % 25.42/4.42 | (v9 = e1) & ~ (v4 = e0)) | ( ~ (v23 = e4) & ~ (v18 = e3) & ~ % 25.42/4.42 | (v13 = e2) & ~ (v8 = e1) & ~ (v3 = e0)) | ( ~ (v22 = e4) & ~ % 25.42/4.42 | (v17 = e3) & ~ (v12 = e2) & ~ (v7 = e1) & ~ (v2 = e0)) | ( ~ % 25.42/4.42 | (v21 = e4) & ~ (v16 = e3) & ~ (v11 = e2) & ~ (v6 = e1) & ~ % 25.42/4.42 | (v1 = e0)) | ( ~ (v20 = e4) & ~ (v15 = e3) & ~ (v10 = e2) & ~ % 25.42/4.42 | (v5 = e1) & ~ (v0 = e0)))) % 25.42/4.42 | % 25.42/4.42 | DELTA: instantiating (3) with fresh symbols all_4_0, all_4_1, all_4_2, % 25.42/4.42 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 25.42/4.42 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 25.42/4.42 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 25.42/4.42 | all_4_24 gives: % 25.42/4.42 | (11) op(all_4_0, all_4_0) = e4 & op(all_4_1, all_4_2) = e4 & op(all_4_2, % 25.42/4.42 | all_4_1) = e3 & op(all_4_3, all_4_3) = e3 & op(all_4_4, all_4_5) = % 25.42/4.42 | e4 & op(all_4_5, all_4_4) = e2 & op(all_4_6, all_4_7) = e3 & % 25.42/4.42 | op(all_4_7, all_4_6) = e2 & op(all_4_8, all_4_8) = e2 & op(all_4_9, % 25.42/4.42 | all_4_10) = e4 & op(all_4_10, all_4_9) = e1 & op(all_4_11, all_4_12) % 25.42/4.42 | = e3 & op(all_4_12, all_4_11) = e1 & op(all_4_13, all_4_14) = e2 & % 25.42/4.42 | op(all_4_14, all_4_13) = e1 & op(all_4_15, all_4_15) = e1 & % 25.42/4.42 | op(all_4_16, all_4_17) = e4 & op(all_4_17, all_4_16) = e0 & % 25.42/4.43 | op(all_4_18, all_4_19) = e3 & op(all_4_19, all_4_18) = e0 & % 25.42/4.43 | op(all_4_20, all_4_21) = e2 & op(all_4_21, all_4_20) = e0 & % 25.42/4.43 | op(all_4_22, all_4_23) = e1 & op(all_4_23, all_4_22) = e0 & % 25.42/4.43 | op(all_4_24, all_4_24) = e0 & op(e4, e4) = all_4_0 & op(e4, e3) = % 25.42/4.43 | all_4_2 & op(e4, e2) = all_4_5 & op(e4, e1) = all_4_10 & op(e4, e0) = % 25.42/4.43 | all_4_17 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_3 & op(e3, e2) = % 25.42/4.43 | all_4_7 & op(e3, e1) = all_4_12 & op(e3, e0) = all_4_19 & op(e2, e4) = % 25.42/4.43 | all_4_4 & op(e2, e3) = all_4_6 & op(e2, e2) = all_4_8 & op(e2, e1) = % 25.42/4.43 | all_4_14 & op(e2, e0) = all_4_21 & op(e1, e4) = all_4_9 & op(e1, e3) = % 25.42/4.43 | all_4_11 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_15 & op(e1, e0) % 25.42/4.43 | = all_4_23 & op(e0, e4) = all_4_16 & op(e0, e3) = all_4_18 & op(e0, % 25.42/4.43 | e2) = all_4_20 & op(e0, e1) = all_4_22 & op(e0, e0) = all_4_24 & % 25.42/4.43 | $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & % 25.42/4.43 | $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & % 25.42/4.43 | $i(all_4_10) & $i(all_4_11) & $i(all_4_12) & $i(all_4_13) & % 25.42/4.43 | $i(all_4_14) & $i(all_4_15) & $i(all_4_16) & $i(all_4_17) & % 25.42/4.43 | $i(all_4_18) & $i(all_4_19) & $i(all_4_20) & $i(all_4_21) & % 25.42/4.43 | $i(all_4_22) & $i(all_4_23) & $i(all_4_24) % 25.42/4.43 | % 25.42/4.43 | ALPHA: (11) implies: % 25.42/4.43 | (12) op(e0, e0) = all_4_24 % 25.42/4.43 | (13) op(e0, e1) = all_4_22 % 25.42/4.43 | (14) op(e0, e2) = all_4_20 % 25.42/4.43 | (15) op(e0, e3) = all_4_18 % 25.42/4.43 | (16) op(e0, e4) = all_4_16 % 25.42/4.43 | (17) op(e1, e0) = all_4_23 % 25.42/4.43 | (18) op(e1, e1) = all_4_15 % 25.42/4.43 | (19) op(e1, e2) = all_4_13 % 25.42/4.43 | (20) op(e1, e3) = all_4_11 % 25.42/4.43 | (21) op(e1, e4) = all_4_9 % 25.42/4.43 | (22) op(e2, e0) = all_4_21 % 25.42/4.43 | (23) op(e2, e1) = all_4_14 % 25.42/4.43 | (24) op(e2, e2) = all_4_8 % 25.42/4.43 | (25) op(e2, e3) = all_4_6 % 25.42/4.43 | (26) op(e2, e4) = all_4_4 % 25.42/4.43 | (27) op(e3, e0) = all_4_19 % 25.42/4.43 | (28) op(e3, e1) = all_4_12 % 25.42/4.43 | (29) op(e3, e2) = all_4_7 % 25.42/4.43 | (30) op(e3, e3) = all_4_3 % 25.42/4.43 | (31) op(e3, e4) = all_4_1 % 25.42/4.43 | (32) op(e4, e0) = all_4_17 % 25.42/4.43 | (33) op(e4, e2) = all_4_5 % 25.42/4.43 | (34) op(e4, e3) = all_4_2 % 25.42/4.43 | (35) op(e4, e4) = all_4_0 % 25.42/4.43 | (36) op(all_4_24, all_4_24) = e0 % 25.42/4.43 | (37) op(all_4_22, all_4_23) = e1 % 25.42/4.43 | (38) op(all_4_18, all_4_19) = e3 % 25.42/4.43 | (39) op(all_4_17, all_4_16) = e0 % 25.42/4.43 | (40) op(all_4_16, all_4_17) = e4 % 25.42/4.43 | (41) op(all_4_15, all_4_15) = e1 % 25.42/4.43 | (42) op(all_4_7, all_4_6) = e2 % 25.42/4.43 | (43) op(all_4_6, all_4_7) = e3 % 25.42/4.43 | (44) op(all_4_5, all_4_4) = e2 % 25.42/4.43 | (45) op(all_4_0, all_4_0) = e4 % 25.42/4.43 | % 25.42/4.43 | DELTA: instantiating (10) with fresh symbols all_6_0, all_6_1, all_6_2, % 25.42/4.43 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9, % 25.42/4.43 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16, % 25.42/4.43 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23, % 25.42/4.43 | all_6_24 gives: % 25.42/4.43 | (46) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_5 & op(e4, e2) = all_6_10 & % 25.42/4.43 | op(e4, e1) = all_6_15 & op(e4, e0) = all_6_20 & op(e3, e4) = all_6_1 & % 25.42/4.43 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_11 & op(e3, e1) = all_6_16 & % 25.42/4.43 | op(e3, e0) = all_6_21 & op(e2, e4) = all_6_2 & op(e2, e3) = all_6_7 & % 25.42/4.43 | op(e2, e2) = all_6_12 & op(e2, e1) = all_6_17 & op(e2, e0) = all_6_22 % 25.42/4.43 | & op(e1, e4) = all_6_3 & op(e1, e3) = all_6_8 & op(e1, e2) = all_6_13 % 25.42/4.43 | & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_23 & op(e0, e4) = all_6_4 % 25.42/4.43 | & op(e0, e3) = all_6_9 & op(e0, e2) = all_6_14 & op(e0, e1) = all_6_19 % 25.42/4.43 | & op(e0, e0) = all_6_24 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2) & % 25.42/4.43 | $i(all_6_3) & $i(all_6_4) & $i(all_6_5) & $i(all_6_6) & $i(all_6_7) & % 25.42/4.43 | $i(all_6_8) & $i(all_6_9) & $i(all_6_10) & $i(all_6_11) & $i(all_6_12) % 25.42/4.43 | & $i(all_6_13) & $i(all_6_14) & $i(all_6_15) & $i(all_6_16) & % 25.42/4.43 | $i(all_6_17) & $i(all_6_18) & $i(all_6_19) & $i(all_6_20) & % 25.42/4.43 | $i(all_6_21) & $i(all_6_22) & $i(all_6_23) & $i(all_6_24) & (( ~ % 25.42/4.43 | (all_6_0 = e4) & ~ (all_6_1 = e3) & ~ (all_6_2 = e2) & ~ % 25.42/4.43 | (all_6_3 = e1) & ~ (all_6_4 = e0)) | ( ~ (all_6_5 = e4) & ~ % 25.42/4.43 | (all_6_6 = e3) & ~ (all_6_7 = e2) & ~ (all_6_8 = e1) & ~ % 25.42/4.43 | (all_6_9 = e0)) | ( ~ (all_6_10 = e4) & ~ (all_6_11 = e3) & ~ % 25.42/4.43 | (all_6_12 = e2) & ~ (all_6_13 = e1) & ~ (all_6_14 = e0)) | ( ~ % 25.42/4.43 | (all_6_15 = e4) & ~ (all_6_16 = e3) & ~ (all_6_17 = e2) & ~ % 25.42/4.43 | (all_6_18 = e1) & ~ (all_6_19 = e0)) | ( ~ (all_6_20 = e4) & ~ % 25.42/4.43 | (all_6_21 = e3) & ~ (all_6_22 = e2) & ~ (all_6_23 = e1) & ~ % 25.42/4.43 | (all_6_24 = e0))) & (( ~ (all_6_0 = e4) & ~ (all_6_5 = e3) & ~ % 25.42/4.43 | (all_6_10 = e2) & ~ (all_6_15 = e1) & ~ (all_6_20 = e0)) | ( ~ % 25.42/4.43 | (all_6_1 = e4) & ~ (all_6_6 = e3) & ~ (all_6_11 = e2) & ~ % 25.42/4.43 | (all_6_16 = e1) & ~ (all_6_21 = e0)) | ( ~ (all_6_2 = e4) & ~ % 25.42/4.43 | (all_6_7 = e3) & ~ (all_6_12 = e2) & ~ (all_6_17 = e1) & ~ % 25.42/4.43 | (all_6_22 = e0)) | ( ~ (all_6_3 = e4) & ~ (all_6_8 = e3) & ~ % 25.42/4.43 | (all_6_13 = e2) & ~ (all_6_18 = e1) & ~ (all_6_23 = e0)) | ( ~ % 25.42/4.43 | (all_6_4 = e4) & ~ (all_6_9 = e3) & ~ (all_6_14 = e2) & ~ % 25.42/4.43 | (all_6_19 = e1) & ~ (all_6_24 = e0))) % 25.42/4.43 | % 25.42/4.43 | ALPHA: (46) implies: % 25.42/4.44 | (47) op(e0, e0) = all_6_24 % 25.42/4.44 | (48) op(e0, e1) = all_6_19 % 25.42/4.44 | (49) op(e0, e2) = all_6_14 % 25.42/4.44 | (50) op(e0, e3) = all_6_9 % 25.42/4.44 | (51) op(e0, e4) = all_6_4 % 25.42/4.44 | (52) op(e1, e0) = all_6_23 % 25.42/4.44 | (53) op(e1, e1) = all_6_18 % 25.42/4.44 | (54) op(e1, e4) = all_6_3 % 25.42/4.44 | (55) op(e2, e0) = all_6_22 % 25.42/4.44 | (56) op(e2, e1) = all_6_17 % 25.42/4.44 | (57) op(e2, e2) = all_6_12 % 25.42/4.44 | (58) op(e2, e3) = all_6_7 % 25.42/4.44 | (59) op(e2, e4) = all_6_2 % 25.42/4.44 | (60) op(e3, e1) = all_6_16 % 25.42/4.44 | (61) op(e3, e2) = all_6_11 % 25.42/4.44 | (62) op(e3, e3) = all_6_6 % 25.42/4.44 | (63) op(e3, e4) = all_6_1 % 25.42/4.44 | (64) op(e4, e0) = all_6_20 % 25.42/4.44 | (65) op(e4, e1) = all_6_15 % 25.42/4.44 | (66) op(e4, e2) = all_6_10 % 25.42/4.44 | (67) op(e4, e3) = all_6_5 % 25.42/4.44 | (68) op(e4, e4) = all_6_0 % 25.42/4.44 | (69) ( ~ (all_6_0 = e4) & ~ (all_6_5 = e3) & ~ (all_6_10 = e2) & ~ % 25.42/4.44 | (all_6_15 = e1) & ~ (all_6_20 = e0)) | ( ~ (all_6_1 = e4) & ~ % 25.42/4.44 | (all_6_6 = e3) & ~ (all_6_11 = e2) & ~ (all_6_16 = e1) & ~ % 25.42/4.44 | (all_6_21 = e0)) | ( ~ (all_6_2 = e4) & ~ (all_6_7 = e3) & ~ % 25.42/4.44 | (all_6_12 = e2) & ~ (all_6_17 = e1) & ~ (all_6_22 = e0)) | ( ~ % 25.42/4.44 | (all_6_3 = e4) & ~ (all_6_8 = e3) & ~ (all_6_13 = e2) & ~ % 25.42/4.44 | (all_6_18 = e1) & ~ (all_6_23 = e0)) | ( ~ (all_6_4 = e4) & ~ % 25.42/4.44 | (all_6_9 = e3) & ~ (all_6_14 = e2) & ~ (all_6_19 = e1) & ~ % 25.42/4.44 | (all_6_24 = e0)) % 25.42/4.44 | (70) ( ~ (all_6_0 = e4) & ~ (all_6_1 = e3) & ~ (all_6_2 = e2) & ~ % 25.42/4.44 | (all_6_3 = e1) & ~ (all_6_4 = e0)) | ( ~ (all_6_5 = e4) & ~ % 25.42/4.44 | (all_6_6 = e3) & ~ (all_6_7 = e2) & ~ (all_6_8 = e1) & ~ (all_6_9 % 25.42/4.44 | = e0)) | ( ~ (all_6_10 = e4) & ~ (all_6_11 = e3) & ~ (all_6_12 = % 25.42/4.44 | e2) & ~ (all_6_13 = e1) & ~ (all_6_14 = e0)) | ( ~ (all_6_15 = % 25.42/4.44 | e4) & ~ (all_6_16 = e3) & ~ (all_6_17 = e2) & ~ (all_6_18 = e1) % 25.42/4.44 | & ~ (all_6_19 = e0)) | ( ~ (all_6_20 = e4) & ~ (all_6_21 = e3) & % 25.42/4.44 | ~ (all_6_22 = e2) & ~ (all_6_23 = e1) & ~ (all_6_24 = e0)) % 25.42/4.44 | % 25.42/4.44 | DELTA: instantiating (4) with fresh symbols all_8_0, all_8_1, all_8_2, % 25.42/4.44 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9, % 25.42/4.44 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16, % 25.42/4.44 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23, % 25.42/4.44 | all_8_24 gives: % 25.42/4.44 | (71) ~ (all_8_0 = all_8_1) & ~ (all_8_0 = all_8_2) & ~ (all_8_0 = % 25.42/4.44 | all_8_3) & ~ (all_8_0 = all_8_4) & ~ (all_8_0 = all_8_5) & ~ % 25.42/4.44 | (all_8_0 = all_8_10) & ~ (all_8_0 = all_8_15) & ~ (all_8_0 = % 25.42/4.44 | all_8_20) & ~ (all_8_1 = all_8_2) & ~ (all_8_1 = all_8_3) & ~ % 25.42/4.44 | (all_8_1 = all_8_4) & ~ (all_8_1 = all_8_6) & ~ (all_8_1 = all_8_11) % 25.42/4.44 | & ~ (all_8_1 = all_8_16) & ~ (all_8_1 = all_8_21) & ~ (all_8_2 = % 25.42/4.44 | all_8_3) & ~ (all_8_2 = all_8_4) & ~ (all_8_2 = all_8_7) & ~ % 25.42/4.44 | (all_8_2 = all_8_12) & ~ (all_8_2 = all_8_17) & ~ (all_8_2 = % 25.42/4.44 | all_8_22) & ~ (all_8_3 = all_8_4) & ~ (all_8_3 = all_8_8) & ~ % 25.42/4.44 | (all_8_3 = all_8_13) & ~ (all_8_3 = all_8_18) & ~ (all_8_3 = % 25.42/4.44 | all_8_23) & ~ (all_8_4 = all_8_9) & ~ (all_8_4 = all_8_14) & ~ % 25.42/4.44 | (all_8_4 = all_8_19) & ~ (all_8_4 = all_8_24) & ~ (all_8_5 = % 25.42/4.44 | all_8_6) & ~ (all_8_5 = all_8_7) & ~ (all_8_5 = all_8_8) & ~ % 25.42/4.44 | (all_8_5 = all_8_9) & ~ (all_8_5 = all_8_10) & ~ (all_8_5 = % 25.42/4.44 | all_8_15) & ~ (all_8_5 = all_8_20) & ~ (all_8_6 = all_8_7) & ~ % 25.42/4.44 | (all_8_6 = all_8_8) & ~ (all_8_6 = all_8_9) & ~ (all_8_6 = all_8_11) % 25.42/4.44 | & ~ (all_8_6 = all_8_16) & ~ (all_8_6 = all_8_21) & ~ (all_8_7 = % 25.42/4.44 | all_8_8) & ~ (all_8_7 = all_8_9) & ~ (all_8_7 = all_8_12) & ~ % 25.42/4.44 | (all_8_7 = all_8_17) & ~ (all_8_7 = all_8_22) & ~ (all_8_8 = % 25.42/4.44 | all_8_9) & ~ (all_8_8 = all_8_13) & ~ (all_8_8 = all_8_18) & ~ % 25.42/4.44 | (all_8_8 = all_8_23) & ~ (all_8_9 = all_8_14) & ~ (all_8_9 = % 25.42/4.44 | all_8_19) & ~ (all_8_9 = all_8_24) & ~ (all_8_10 = all_8_11) & ~ % 25.42/4.44 | (all_8_10 = all_8_12) & ~ (all_8_10 = all_8_13) & ~ (all_8_10 = % 25.42/4.44 | all_8_14) & ~ (all_8_10 = all_8_15) & ~ (all_8_10 = all_8_20) & ~ % 25.42/4.44 | (all_8_11 = all_8_12) & ~ (all_8_11 = all_8_13) & ~ (all_8_11 = % 25.42/4.44 | all_8_14) & ~ (all_8_11 = all_8_16) & ~ (all_8_11 = all_8_21) & ~ % 25.42/4.44 | (all_8_12 = all_8_13) & ~ (all_8_12 = all_8_14) & ~ (all_8_12 = % 25.42/4.44 | all_8_17) & ~ (all_8_12 = all_8_22) & ~ (all_8_13 = all_8_14) & ~ % 25.42/4.44 | (all_8_13 = all_8_18) & ~ (all_8_13 = all_8_23) & ~ (all_8_14 = % 25.42/4.44 | all_8_19) & ~ (all_8_14 = all_8_24) & ~ (all_8_15 = all_8_16) & ~ % 25.42/4.44 | (all_8_15 = all_8_17) & ~ (all_8_15 = all_8_18) & ~ (all_8_15 = % 25.42/4.44 | all_8_19) & ~ (all_8_15 = all_8_20) & ~ (all_8_16 = all_8_17) & ~ % 25.42/4.44 | (all_8_16 = all_8_18) & ~ (all_8_16 = all_8_19) & ~ (all_8_16 = % 25.42/4.44 | all_8_21) & ~ (all_8_17 = all_8_18) & ~ (all_8_17 = all_8_19) & ~ % 25.42/4.44 | (all_8_17 = all_8_22) & ~ (all_8_18 = all_8_19) & ~ (all_8_18 = % 25.42/4.44 | all_8_23) & ~ (all_8_19 = all_8_24) & ~ (all_8_20 = all_8_21) & ~ % 25.42/4.44 | (all_8_20 = all_8_22) & ~ (all_8_20 = all_8_23) & ~ (all_8_20 = % 25.42/4.44 | all_8_24) & ~ (all_8_21 = all_8_22) & ~ (all_8_21 = all_8_23) & ~ % 25.42/4.44 | (all_8_21 = all_8_24) & ~ (all_8_22 = all_8_23) & ~ (all_8_22 = % 25.42/4.44 | all_8_24) & ~ (all_8_23 = all_8_24) & op(e4, e4) = all_8_0 & op(e4, % 25.42/4.44 | e3) = all_8_5 & op(e4, e2) = all_8_10 & op(e4, e1) = all_8_15 & % 25.42/4.44 | op(e4, e0) = all_8_20 & op(e3, e4) = all_8_1 & op(e3, e3) = all_8_6 & % 25.42/4.44 | op(e3, e2) = all_8_11 & op(e3, e1) = all_8_16 & op(e3, e0) = all_8_21 % 25.42/4.44 | & op(e2, e4) = all_8_2 & op(e2, e3) = all_8_7 & op(e2, e2) = all_8_12 % 25.42/4.44 | & op(e2, e1) = all_8_17 & op(e2, e0) = all_8_22 & op(e1, e4) = all_8_3 % 25.42/4.44 | & op(e1, e3) = all_8_8 & op(e1, e2) = all_8_13 & op(e1, e1) = all_8_18 % 25.42/4.44 | & op(e1, e0) = all_8_23 & op(e0, e4) = all_8_4 & op(e0, e3) = all_8_9 % 25.42/4.44 | & op(e0, e2) = all_8_14 & op(e0, e1) = all_8_19 & op(e0, e0) = % 25.42/4.44 | all_8_24 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & % 25.42/4.44 | $i(all_8_4) & $i(all_8_5) & $i(all_8_6) & $i(all_8_7) & $i(all_8_8) & % 25.42/4.44 | $i(all_8_9) & $i(all_8_10) & $i(all_8_11) & $i(all_8_12) & % 25.42/4.44 | $i(all_8_13) & $i(all_8_14) & $i(all_8_15) & $i(all_8_16) & % 25.42/4.44 | $i(all_8_17) & $i(all_8_18) & $i(all_8_19) & $i(all_8_20) & % 25.42/4.44 | $i(all_8_21) & $i(all_8_22) & $i(all_8_23) & $i(all_8_24) % 25.42/4.44 | % 25.42/4.44 | ALPHA: (71) implies: % 25.42/4.45 | (72) ~ (all_8_23 = all_8_24) % 25.42/4.45 | (73) ~ (all_8_22 = all_8_24) % 25.42/4.45 | (74) ~ (all_8_22 = all_8_23) % 25.42/4.45 | (75) ~ (all_8_21 = all_8_23) % 25.42/4.45 | (76) ~ (all_8_21 = all_8_22) % 25.42/4.45 | (77) ~ (all_8_20 = all_8_24) % 25.42/4.45 | (78) ~ (all_8_20 = all_8_23) % 25.42/4.45 | (79) ~ (all_8_20 = all_8_22) % 25.42/4.45 | (80) ~ (all_8_20 = all_8_21) % 25.42/4.45 | (81) ~ (all_8_18 = all_8_23) % 25.42/4.45 | (82) ~ (all_8_17 = all_8_22) % 25.42/4.45 | (83) ~ (all_8_17 = all_8_19) % 25.42/4.45 | (84) ~ (all_8_17 = all_8_18) % 25.42/4.45 | (85) ~ (all_8_16 = all_8_21) % 25.42/4.45 | (86) ~ (all_8_16 = all_8_19) % 25.42/4.45 | (87) ~ (all_8_16 = all_8_18) % 25.42/4.45 | (88) ~ (all_8_16 = all_8_17) % 25.42/4.45 | (89) ~ (all_8_15 = all_8_20) % 25.42/4.45 | (90) ~ (all_8_14 = all_8_19) % 25.42/4.45 | (91) ~ (all_8_13 = all_8_14) % 25.42/4.45 | (92) ~ (all_8_12 = all_8_14) % 25.42/4.45 | (93) ~ (all_8_11 = all_8_14) % 25.42/4.45 | (94) ~ (all_8_10 = all_8_20) % 25.42/4.45 | (95) ~ (all_8_10 = all_8_15) % 25.42/4.45 | (96) ~ (all_8_10 = all_8_14) % 25.42/4.45 | (97) ~ (all_8_10 = all_8_13) % 25.42/4.45 | (98) ~ (all_8_10 = all_8_12) % 25.42/4.45 | (99) ~ (all_8_10 = all_8_11) % 25.42/4.45 | (100) ~ (all_8_9 = all_8_24) % 25.42/4.45 | (101) ~ (all_8_9 = all_8_19) % 25.42/4.45 | (102) ~ (all_8_9 = all_8_14) % 25.42/4.45 | (103) ~ (all_8_8 = all_8_23) % 25.42/4.45 | (104) ~ (all_8_8 = all_8_18) % 25.42/4.45 | (105) ~ (all_8_8 = all_8_9) % 25.42/4.45 | (106) ~ (all_8_7 = all_8_22) % 25.42/4.45 | (107) ~ (all_8_7 = all_8_8) % 25.42/4.45 | (108) ~ (all_8_6 = all_8_21) % 25.42/4.45 | (109) ~ (all_8_6 = all_8_16) % 25.42/4.45 | (110) ~ (all_8_6 = all_8_9) % 25.42/4.45 | (111) ~ (all_8_6 = all_8_8) % 25.42/4.45 | (112) ~ (all_8_6 = all_8_7) % 25.42/4.45 | (113) ~ (all_8_5 = all_8_20) % 25.42/4.45 | (114) ~ (all_8_5 = all_8_10) % 25.42/4.45 | (115) ~ (all_8_5 = all_8_9) % 25.42/4.45 | (116) ~ (all_8_5 = all_8_8) % 25.42/4.45 | (117) ~ (all_8_5 = all_8_7) % 25.42/4.45 | (118) ~ (all_8_5 = all_8_6) % 25.42/4.45 | (119) ~ (all_8_4 = all_8_24) % 25.42/4.45 | (120) ~ (all_8_4 = all_8_19) % 25.42/4.45 | (121) ~ (all_8_4 = all_8_14) % 25.42/4.45 | (122) ~ (all_8_4 = all_8_9) % 25.42/4.45 | (123) ~ (all_8_3 = all_8_4) % 25.42/4.45 | (124) ~ (all_8_2 = all_8_22) % 25.42/4.45 | (125) ~ (all_8_2 = all_8_17) % 25.42/4.45 | (126) ~ (all_8_1 = all_8_16) % 25.42/4.45 | (127) ~ (all_8_1 = all_8_11) % 25.42/4.45 | (128) ~ (all_8_1 = all_8_4) % 25.42/4.45 | (129) ~ (all_8_1 = all_8_3) % 25.42/4.45 | (130) ~ (all_8_1 = all_8_2) % 25.42/4.45 | (131) ~ (all_8_0 = all_8_20) % 25.42/4.45 | (132) ~ (all_8_0 = all_8_10) % 25.42/4.45 | (133) ~ (all_8_0 = all_8_4) % 25.42/4.45 | (134) op(e0, e0) = all_8_24 % 25.42/4.45 | (135) op(e0, e1) = all_8_19 % 25.42/4.45 | (136) op(e0, e2) = all_8_14 % 25.42/4.45 | (137) op(e0, e3) = all_8_9 % 25.42/4.45 | (138) op(e0, e4) = all_8_4 % 25.42/4.45 | (139) op(e1, e0) = all_8_23 % 25.42/4.45 | (140) op(e1, e1) = all_8_18 % 25.42/4.45 | (141) op(e1, e2) = all_8_13 % 25.42/4.45 | (142) op(e1, e3) = all_8_8 % 25.42/4.45 | (143) op(e1, e4) = all_8_3 % 25.42/4.45 | (144) op(e2, e0) = all_8_22 % 25.42/4.45 | (145) op(e2, e1) = all_8_17 % 25.42/4.45 | (146) op(e2, e2) = all_8_12 % 25.42/4.45 | (147) op(e2, e3) = all_8_7 % 25.42/4.45 | (148) op(e2, e4) = all_8_2 % 25.42/4.45 | (149) op(e3, e0) = all_8_21 % 25.42/4.45 | (150) op(e3, e1) = all_8_16 % 25.42/4.45 | (151) op(e3, e2) = all_8_11 % 25.42/4.45 | (152) op(e3, e3) = all_8_6 % 25.42/4.45 | (153) op(e3, e4) = all_8_1 % 25.42/4.45 | (154) op(e4, e0) = all_8_20 % 25.42/4.45 | (155) op(e4, e1) = all_8_15 % 25.42/4.45 | (156) op(e4, e2) = all_8_10 % 25.42/4.45 | (157) op(e4, e3) = all_8_5 % 25.42/4.45 | (158) op(e4, e4) = all_8_0 % 25.42/4.45 | % 25.42/4.45 | DELTA: instantiating (1) with fresh symbols all_10_0, all_10_1, all_10_2, % 25.42/4.45 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9, % 25.42/4.45 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15, % 25.42/4.45 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21, % 25.42/4.45 | all_10_22, all_10_23, all_10_24 gives: % 25.42/4.46 | (159) op(e4, e4) = all_10_0 & op(e4, e3) = all_10_1 & op(e4, e2) = all_10_2 % 25.42/4.46 | & op(e4, e1) = all_10_3 & op(e4, e0) = all_10_4 & op(e3, e4) = % 25.42/4.46 | all_10_5 & op(e3, e3) = all_10_6 & op(e3, e2) = all_10_7 & op(e3, e1) % 25.42/4.46 | = all_10_8 & op(e3, e0) = all_10_9 & op(e2, e4) = all_10_10 & op(e2, % 25.42/4.46 | e3) = all_10_11 & op(e2, e2) = all_10_12 & op(e2, e1) = all_10_13 & % 25.42/4.46 | op(e2, e0) = all_10_14 & op(e1, e4) = all_10_15 & op(e1, e3) = % 25.42/4.46 | all_10_16 & op(e1, e2) = all_10_17 & op(e1, e1) = all_10_18 & op(e1, % 25.42/4.46 | e0) = all_10_19 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 & % 25.42/4.46 | op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) = % 25.42/4.46 | all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3) % 25.42/4.46 | & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) & % 25.42/4.46 | $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) & % 25.42/4.46 | $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) & % 25.42/4.46 | $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) & % 25.42/4.46 | $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) & % 25.42/4.46 | $i(all_10_24) & (all_10_0 = e4 | all_10_0 = e3 | all_10_0 = e2 | % 25.42/4.46 | all_10_0 = e1 | all_10_0 = e0) & (all_10_1 = e4 | all_10_1 = e3 | % 25.42/4.46 | all_10_1 = e2 | all_10_1 = e1 | all_10_1 = e0) & (all_10_2 = e4 | % 25.42/4.46 | all_10_2 = e3 | all_10_2 = e2 | all_10_2 = e1 | all_10_2 = e0) & % 25.42/4.46 | (all_10_3 = e4 | all_10_3 = e3 | all_10_3 = e2 | all_10_3 = e1 | % 25.42/4.46 | all_10_3 = e0) & (all_10_4 = e4 | all_10_4 = e3 | all_10_4 = e2 | % 25.42/4.46 | all_10_4 = e1 | all_10_4 = e0) & (all_10_5 = e4 | all_10_5 = e3 | % 25.42/4.46 | all_10_5 = e2 | all_10_5 = e1 | all_10_5 = e0) & (all_10_6 = e4 | % 25.42/4.46 | all_10_6 = e3 | all_10_6 = e2 | all_10_6 = e1 | all_10_6 = e0) & % 25.42/4.46 | (all_10_7 = e4 | all_10_7 = e3 | all_10_7 = e2 | all_10_7 = e1 | % 25.42/4.46 | all_10_7 = e0) & (all_10_8 = e4 | all_10_8 = e3 | all_10_8 = e2 | % 25.42/4.46 | all_10_8 = e1 | all_10_8 = e0) & (all_10_9 = e4 | all_10_9 = e3 | % 25.42/4.46 | all_10_9 = e2 | all_10_9 = e1 | all_10_9 = e0) & (all_10_10 = e4 | % 25.42/4.46 | all_10_10 = e3 | all_10_10 = e2 | all_10_10 = e1 | all_10_10 = e0) % 25.42/4.46 | & (all_10_11 = e4 | all_10_11 = e3 | all_10_11 = e2 | all_10_11 = e1 % 25.42/4.46 | | all_10_11 = e0) & (all_10_12 = e4 | all_10_12 = e3 | all_10_12 = % 25.42/4.46 | e2 | all_10_12 = e1 | all_10_12 = e0) & (all_10_13 = e4 | all_10_13 % 25.42/4.46 | = e3 | all_10_13 = e2 | all_10_13 = e1 | all_10_13 = e0) & % 25.42/4.46 | (all_10_14 = e4 | all_10_14 = e3 | all_10_14 = e2 | all_10_14 = e1 | % 25.42/4.46 | all_10_14 = e0) & (all_10_15 = e4 | all_10_15 = e3 | all_10_15 = e2 % 25.42/4.46 | | all_10_15 = e1 | all_10_15 = e0) & (all_10_16 = e4 | all_10_16 = % 25.42/4.46 | e3 | all_10_16 = e2 | all_10_16 = e1 | all_10_16 = e0) & (all_10_17 % 25.42/4.46 | = e4 | all_10_17 = e3 | all_10_17 = e2 | all_10_17 = e1 | all_10_17 % 25.42/4.46 | = e0) & (all_10_18 = e4 | all_10_18 = e3 | all_10_18 = e2 | % 25.42/4.46 | all_10_18 = e1 | all_10_18 = e0) & (all_10_19 = e4 | all_10_19 = e3 % 25.42/4.46 | | all_10_19 = e2 | all_10_19 = e1 | all_10_19 = e0) & (all_10_20 = % 25.42/4.46 | e4 | all_10_20 = e3 | all_10_20 = e2 | all_10_20 = e1 | all_10_20 = % 25.42/4.46 | e0) & (all_10_21 = e4 | all_10_21 = e3 | all_10_21 = e2 | all_10_21 % 25.42/4.46 | = e1 | all_10_21 = e0) & (all_10_22 = e4 | all_10_22 = e3 | % 25.42/4.46 | all_10_22 = e2 | all_10_22 = e1 | all_10_22 = e0) & (all_10_23 = e4 % 25.42/4.46 | | all_10_23 = e3 | all_10_23 = e2 | all_10_23 = e1 | all_10_23 = % 25.42/4.46 | e0) & (all_10_24 = e4 | all_10_24 = e3 | all_10_24 = e2 | all_10_24 % 25.42/4.46 | = e1 | all_10_24 = e0) % 25.42/4.46 | % 25.42/4.46 | ALPHA: (159) implies: % 25.42/4.46 | (160) op(e0, e0) = all_10_24 % 25.42/4.46 | (161) op(e0, e1) = all_10_23 % 25.42/4.46 | (162) op(e0, e2) = all_10_22 % 25.42/4.46 | (163) op(e0, e3) = all_10_21 % 25.42/4.46 | (164) op(e0, e4) = all_10_20 % 25.42/4.46 | (165) op(e1, e0) = all_10_19 % 25.42/4.46 | (166) op(e1, e1) = all_10_18 % 25.42/4.46 | (167) op(e1, e2) = all_10_17 % 25.42/4.46 | (168) op(e1, e3) = all_10_16 % 25.42/4.46 | (169) op(e1, e4) = all_10_15 % 25.42/4.46 | (170) op(e2, e0) = all_10_14 % 25.42/4.46 | (171) op(e2, e1) = all_10_13 % 25.81/4.46 | (172) op(e2, e2) = all_10_12 % 25.81/4.46 | (173) op(e2, e3) = all_10_11 % 25.81/4.46 | (174) op(e2, e4) = all_10_10 % 25.81/4.46 | (175) op(e3, e0) = all_10_9 % 25.81/4.46 | (176) op(e3, e1) = all_10_8 % 25.81/4.46 | (177) op(e3, e2) = all_10_7 % 25.81/4.46 | (178) op(e3, e3) = all_10_6 % 25.81/4.46 | (179) op(e3, e4) = all_10_5 % 25.81/4.46 | (180) op(e4, e0) = all_10_4 % 25.81/4.46 | (181) op(e4, e1) = all_10_3 % 25.81/4.46 | (182) op(e4, e2) = all_10_2 % 25.81/4.46 | (183) op(e4, e3) = all_10_1 % 25.81/4.46 | (184) op(e4, e4) = all_10_0 % 25.81/4.46 | (185) all_10_21 = e4 | all_10_21 = e3 | all_10_21 = e2 | all_10_21 = e1 | % 25.81/4.46 | all_10_21 = e0 % 25.81/4.46 | (186) all_10_20 = e4 | all_10_20 = e3 | all_10_20 = e2 | all_10_20 = e1 | % 25.81/4.46 | all_10_20 = e0 % 25.81/4.46 | (187) all_10_19 = e4 | all_10_19 = e3 | all_10_19 = e2 | all_10_19 = e1 | % 25.81/4.46 | all_10_19 = e0 % 25.81/4.46 | (188) all_10_16 = e4 | all_10_16 = e3 | all_10_16 = e2 | all_10_16 = e1 | % 25.81/4.46 | all_10_16 = e0 % 25.81/4.46 | (189) all_10_14 = e4 | all_10_14 = e3 | all_10_14 = e2 | all_10_14 = e1 | % 25.81/4.46 | all_10_14 = e0 % 25.81/4.46 | (190) all_10_13 = e4 | all_10_13 = e3 | all_10_13 = e2 | all_10_13 = e1 | % 25.81/4.46 | all_10_13 = e0 % 25.81/4.46 | (191) all_10_9 = e4 | all_10_9 = e3 | all_10_9 = e2 | all_10_9 = e1 | % 25.81/4.46 | all_10_9 = e0 % 25.81/4.46 | (192) all_10_8 = e4 | all_10_8 = e3 | all_10_8 = e2 | all_10_8 = e1 | % 25.81/4.46 | all_10_8 = e0 % 25.81/4.46 | (193) all_10_4 = e4 | all_10_4 = e3 | all_10_4 = e2 | all_10_4 = e1 | % 25.81/4.46 | all_10_4 = e0 % 25.81/4.46 | (194) all_10_2 = e4 | all_10_2 = e3 | all_10_2 = e2 | all_10_2 = e1 | % 25.81/4.46 | all_10_2 = e0 % 25.81/4.46 | (195) all_10_1 = e4 | all_10_1 = e3 | all_10_1 = e2 | all_10_1 = e1 | % 25.81/4.46 | all_10_1 = e0 % 25.81/4.46 | % 25.81/4.46 | DELTA: instantiating (2) with fresh symbols all_12_0, all_12_1, all_12_2, % 25.81/4.46 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9, % 25.81/4.46 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15, % 25.81/4.46 | all_12_16, all_12_17, all_12_18, all_12_19, all_12_20, all_12_21, % 25.81/4.46 | all_12_22, all_12_23, all_12_24 gives: % 25.81/4.47 | (196) op(e4, e4) = all_12_0 & op(e4, e3) = all_12_1 & op(e4, e2) = all_12_4 % 25.81/4.47 | & op(e4, e1) = all_12_9 & op(e4, e0) = all_12_16 & op(e3, e4) = % 25.81/4.47 | all_12_2 & op(e3, e3) = all_12_3 & op(e3, e2) = all_12_5 & op(e3, e1) % 25.81/4.47 | = all_12_10 & op(e3, e0) = all_12_17 & op(e2, e4) = all_12_6 & op(e2, % 25.81/4.47 | e3) = all_12_7 & op(e2, e2) = all_12_8 & op(e2, e1) = all_12_11 & % 25.81/4.47 | op(e2, e0) = all_12_18 & op(e1, e4) = all_12_12 & op(e1, e3) = % 25.81/4.47 | all_12_13 & op(e1, e2) = all_12_14 & op(e1, e1) = all_12_15 & op(e1, % 25.81/4.47 | e0) = all_12_19 & op(e0, e4) = all_12_20 & op(e0, e3) = all_12_21 & % 25.81/4.47 | op(e0, e2) = all_12_22 & op(e0, e1) = all_12_23 & op(e0, e0) = % 25.81/4.47 | all_12_24 & $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) % 25.81/4.47 | & $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) & % 25.81/4.47 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) & % 25.81/4.47 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15) & % 25.81/4.47 | $i(all_12_16) & $i(all_12_17) & $i(all_12_18) & $i(all_12_19) & % 25.81/4.47 | $i(all_12_20) & $i(all_12_21) & $i(all_12_22) & $i(all_12_23) & % 25.81/4.47 | $i(all_12_24) & (all_12_0 = e4 | all_12_1 = e4 | all_12_4 = e4 | % 25.81/4.47 | all_12_9 = e4 | all_12_16 = e4) & (all_12_0 = e4 | all_12_2 = e4 | % 25.81/4.47 | all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4) & (all_12_0 = e3 | % 25.81/4.47 | all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3) & % 25.81/4.47 | (all_12_0 = e3 | all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 | % 25.81/4.47 | all_12_20 = e3) & (all_12_0 = e2 | all_12_1 = e2 | all_12_4 = e2 | % 25.81/4.47 | all_12_9 = e2 | all_12_16 = e2) & (all_12_0 = e2 | all_12_2 = e2 | % 25.81/4.47 | all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2) & (all_12_0 = e1 | % 25.81/4.47 | all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1) & % 25.81/4.47 | (all_12_0 = e1 | all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 | % 25.81/4.47 | all_12_20 = e1) & (all_12_0 = e0 | all_12_1 = e0 | all_12_4 = e0 | % 25.81/4.47 | all_12_9 = e0 | all_12_16 = e0) & (all_12_0 = e0 | all_12_2 = e0 | % 25.81/4.47 | all_12_6 = e0 | all_12_12 = e0 | all_12_20 = e0) & (all_12_1 = e4 | % 25.81/4.47 | all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4) & % 25.81/4.47 | (all_12_1 = e3 | all_12_3 = e3 | all_12_7 = e3 | all_12_13 = e3 | % 25.81/4.47 | all_12_21 = e3) & (all_12_1 = e2 | all_12_3 = e2 | all_12_7 = e2 | % 25.81/4.47 | all_12_13 = e2 | all_12_21 = e2) & (all_12_1 = e1 | all_12_3 = e1 | % 25.81/4.47 | all_12_7 = e1 | all_12_13 = e1 | all_12_21 = e1) & (all_12_1 = e0 | % 25.81/4.47 | all_12_3 = e0 | all_12_7 = e0 | all_12_13 = e0 | all_12_21 = e0) & % 25.81/4.47 | (all_12_2 = e4 | all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 | % 25.81/4.47 | all_12_17 = e4) & (all_12_2 = e3 | all_12_3 = e3 | all_12_5 = e3 | % 25.81/4.47 | all_12_10 = e3 | all_12_17 = e3) & (all_12_2 = e2 | all_12_3 = e2 | % 25.81/4.47 | all_12_5 = e2 | all_12_10 = e2 | all_12_17 = e2) & (all_12_2 = e1 | % 25.81/4.47 | all_12_3 = e1 | all_12_5 = e1 | all_12_10 = e1 | all_12_17 = e1) & % 25.81/4.47 | (all_12_2 = e0 | all_12_3 = e0 | all_12_5 = e0 | all_12_10 = e0 | % 25.81/4.47 | all_12_17 = e0) & (all_12_4 = e4 | all_12_5 = e4 | all_12_8 = e4 | % 25.81/4.47 | all_12_14 = e4 | all_12_22 = e4) & (all_12_4 = e3 | all_12_5 = e3 | % 25.81/4.47 | all_12_8 = e3 | all_12_14 = e3 | all_12_22 = e3) & (all_12_4 = e2 | % 25.81/4.47 | all_12_5 = e2 | all_12_8 = e2 | all_12_14 = e2 | all_12_22 = e2) & % 25.81/4.47 | (all_12_4 = e1 | all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 | % 25.81/4.47 | all_12_22 = e1) & (all_12_4 = e0 | all_12_5 = e0 | all_12_8 = e0 | % 25.81/4.47 | all_12_14 = e0 | all_12_22 = e0) & (all_12_6 = e4 | all_12_7 = e4 | % 25.81/4.47 | all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4) & (all_12_6 = e3 | % 25.81/4.47 | all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 | all_12_18 = e3) & % 25.81/4.47 | (all_12_6 = e2 | all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 | % 25.81/4.47 | all_12_18 = e2) & (all_12_6 = e1 | all_12_7 = e1 | all_12_8 = e1 | % 25.81/4.47 | all_12_11 = e1 | all_12_18 = e1) & (all_12_6 = e0 | all_12_7 = e0 | % 25.81/4.47 | all_12_8 = e0 | all_12_11 = e0 | all_12_18 = e0) & (all_12_9 = e4 | % 25.81/4.47 | all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4) % 25.81/4.47 | & (all_12_9 = e3 | all_12_10 = e3 | all_12_11 = e3 | all_12_15 = e3 | % 25.81/4.47 | all_12_23 = e3) & (all_12_9 = e2 | all_12_10 = e2 | all_12_11 = e2 % 25.81/4.47 | | all_12_15 = e2 | all_12_23 = e2) & (all_12_9 = e1 | all_12_10 = % 25.81/4.47 | e1 | all_12_11 = e1 | all_12_15 = e1 | all_12_23 = e1) & (all_12_9 % 25.81/4.47 | = e0 | all_12_10 = e0 | all_12_11 = e0 | all_12_15 = e0 | all_12_23 % 25.81/4.47 | = e0) & (all_12_12 = e4 | all_12_13 = e4 | all_12_14 = e4 | % 25.81/4.47 | all_12_15 = e4 | all_12_19 = e4) & (all_12_12 = e3 | all_12_13 = e3 % 25.81/4.47 | | all_12_14 = e3 | all_12_15 = e3 | all_12_19 = e3) & (all_12_12 = % 25.81/4.47 | e2 | all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 | all_12_19 = % 25.81/4.47 | e2) & (all_12_12 = e1 | all_12_13 = e1 | all_12_14 = e1 | all_12_15 % 25.81/4.47 | = e1 | all_12_19 = e1) & (all_12_12 = e0 | all_12_13 = e0 | % 25.81/4.47 | all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0) & (all_12_16 = e4 % 25.81/4.47 | | all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 | all_12_24 = % 25.81/4.47 | e4) & (all_12_16 = e3 | all_12_17 = e3 | all_12_18 = e3 | all_12_19 % 25.81/4.47 | = e3 | all_12_24 = e3) & (all_12_16 = e2 | all_12_17 = e2 | % 25.81/4.47 | all_12_18 = e2 | all_12_19 = e2 | all_12_24 = e2) & (all_12_16 = e1 % 25.81/4.47 | | all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 | all_12_24 = % 25.81/4.47 | e1) & (all_12_20 = e4 | all_12_21 = e4 | all_12_22 = e4 | all_12_23 % 25.81/4.47 | = e4 | all_12_24 = e4) & (all_12_20 = e3 | all_12_21 = e3 | % 25.81/4.47 | all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3) & (all_12_20 = e2 % 25.81/4.47 | | all_12_21 = e2 | all_12_22 = e2 | all_12_23 = e2 | all_12_24 = % 25.81/4.47 | e2) & (all_12_20 = e1 | all_12_21 = e1 | all_12_22 = e1 | all_12_23 % 25.81/4.47 | = e1 | all_12_24 = e1) & (all_12_24 = e0 | ((all_12_16 = e0 | % 25.81/4.47 | all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0) & (all_12_20 % 25.81/4.47 | = e0 | all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0))) % 25.81/4.47 | % 25.81/4.47 | ALPHA: (196) implies: % 25.81/4.47 | (197) op(e0, e0) = all_12_24 % 25.81/4.47 | (198) op(e0, e1) = all_12_23 % 25.81/4.47 | (199) op(e0, e2) = all_12_22 % 25.81/4.47 | (200) op(e0, e3) = all_12_21 % 25.81/4.47 | (201) op(e0, e4) = all_12_20 % 25.81/4.47 | (202) op(e1, e0) = all_12_19 % 25.81/4.47 | (203) op(e1, e1) = all_12_15 % 25.81/4.47 | (204) op(e1, e2) = all_12_14 % 25.81/4.47 | (205) op(e1, e3) = all_12_13 % 25.81/4.47 | (206) op(e1, e4) = all_12_12 % 25.81/4.47 | (207) op(e2, e0) = all_12_18 % 25.81/4.47 | (208) op(e2, e1) = all_12_11 % 25.81/4.47 | (209) op(e2, e2) = all_12_8 % 25.81/4.47 | (210) op(e2, e3) = all_12_7 % 25.81/4.47 | (211) op(e2, e4) = all_12_6 % 25.81/4.47 | (212) op(e3, e0) = all_12_17 % 25.81/4.47 | (213) op(e3, e1) = all_12_10 % 25.81/4.47 | (214) op(e3, e2) = all_12_5 % 25.81/4.47 | (215) op(e3, e3) = all_12_3 % 25.81/4.47 | (216) op(e3, e4) = all_12_2 % 25.81/4.47 | (217) op(e4, e0) = all_12_16 % 25.81/4.47 | (218) op(e4, e1) = all_12_9 % 25.81/4.47 | (219) op(e4, e2) = all_12_4 % 25.81/4.47 | (220) op(e4, e3) = all_12_1 % 25.81/4.47 | (221) op(e4, e4) = all_12_0 % 25.81/4.47 | (222) all_12_24 = e0 | ((all_12_16 = e0 | all_12_17 = e0 | all_12_18 = e0 | % 25.81/4.47 | all_12_19 = e0) & (all_12_20 = e0 | all_12_21 = e0 | all_12_22 = % 25.81/4.47 | e0 | all_12_23 = e0)) % 25.81/4.47 | (223) all_12_12 = e0 | all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 | % 25.81/4.47 | all_12_19 = e0 % 25.81/4.47 | (224) all_12_9 = e1 | all_12_10 = e1 | all_12_11 = e1 | all_12_15 = e1 | % 25.81/4.47 | all_12_23 = e1 % 25.81/4.47 | (225) all_12_6 = e2 | all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 | % 25.81/4.47 | all_12_18 = e2 % 25.81/4.47 | (226) all_12_6 = e4 | all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 | % 25.81/4.47 | all_12_18 = e4 % 25.81/4.47 | (227) all_12_4 = e2 | all_12_5 = e2 | all_12_8 = e2 | all_12_14 = e2 | % 25.81/4.47 | all_12_22 = e2 % 25.81/4.47 | (228) all_12_4 = e4 | all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 | % 25.81/4.47 | all_12_22 = e4 % 25.81/4.47 | (229) all_12_2 = e4 | all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 | % 25.81/4.47 | all_12_17 = e4 % 25.81/4.47 | (230) all_12_1 = e4 | all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 | % 25.81/4.47 | all_12_21 = e4 % 25.81/4.47 | (231) all_12_0 = e4 | all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 | % 25.81/4.47 | all_12_16 = e4 % 25.81/4.47 | % 25.81/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_6_24, e0, e0, % 25.81/4.48 | simplifying with (12), (47) gives: % 25.81/4.48 | (232) all_6_24 = all_4_24 % 25.81/4.48 | % 25.81/4.48 | GROUND_INST: instantiating (function-axioms) with all_6_24, all_8_24, e0, e0, % 25.81/4.48 | simplifying with (47), (134) gives: % 25.81/4.48 | (233) all_8_24 = all_6_24 % 25.81/4.48 | % 25.81/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_24, e0, e0, % 25.81/4.48 | simplifying with (134), (160) gives: % 25.81/4.48 | (234) all_10_24 = all_8_24 % 25.81/4.48 | % 25.81/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_24, all_12_24, e0, % 25.81/4.48 | e0, simplifying with (160), (197) gives: % 25.81/4.48 | (235) all_12_24 = all_10_24 % 25.81/4.48 | % 25.81/4.48 | GROUND_INST: instantiating (function-axioms) with e3, all_12_24, e0, e0, % 25.88/4.48 | simplifying with (6), (197) gives: % 25.88/4.48 | (236) all_12_24 = e3 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_8_19, e1, e0, % 25.88/4.48 | simplifying with (13), (135) gives: % 25.88/4.48 | (237) all_8_19 = all_4_22 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_23, e1, e0, % 25.88/4.48 | simplifying with (135), (161) gives: % 25.88/4.48 | (238) all_10_23 = all_8_19 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with e2, all_10_23, e1, e0, % 25.88/4.48 | simplifying with (7), (161) gives: % 25.88/4.48 | (239) all_10_23 = e2 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_12_23, e1, e0, % 25.88/4.48 | simplifying with (135), (198) gives: % 25.88/4.48 | (240) all_12_23 = all_8_19 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_6_19, all_12_23, e1, e0, % 25.88/4.48 | simplifying with (48), (198) gives: % 25.88/4.48 | (241) all_12_23 = all_6_19 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_8_14, e2, e0, % 25.88/4.48 | simplifying with (14), (136) gives: % 25.88/4.48 | (242) all_8_14 = all_4_20 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_14, all_10_22, e2, e0, % 25.88/4.48 | simplifying with (136), (162) gives: % 25.88/4.48 | (243) all_10_22 = all_8_14 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_22, all_12_22, e2, % 25.88/4.48 | e0, simplifying with (162), (199) gives: % 25.88/4.48 | (244) all_12_22 = all_10_22 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_12_22, e2, e0, % 25.88/4.48 | simplifying with (49), (199) gives: % 25.88/4.48 | (245) all_12_22 = all_6_14 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_10_21, e3, e0, % 25.88/4.48 | simplifying with (50), (163) gives: % 25.88/4.48 | (246) all_10_21 = all_6_9 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_10_21, e3, e0, % 25.88/4.48 | simplifying with (15), (163) gives: % 25.88/4.48 | (247) all_10_21 = all_4_18 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_21, all_12_21, e3, % 25.88/4.48 | e0, simplifying with (163), (200) gives: % 25.88/4.48 | (248) all_12_21 = all_10_21 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_9, all_12_21, e3, e0, % 25.88/4.48 | simplifying with (137), (200) gives: % 25.88/4.48 | (249) all_12_21 = all_8_9 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_8_4, e4, e0, % 25.88/4.48 | simplifying with (51), (138) gives: % 25.88/4.48 | (250) all_8_4 = all_6_4 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_4, all_10_20, e4, e0, % 25.88/4.48 | simplifying with (138), (164) gives: % 25.88/4.48 | (251) all_10_20 = all_8_4 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_20, all_12_20, e4, % 25.88/4.48 | e0, simplifying with (164), (201) gives: % 25.88/4.48 | (252) all_12_20 = all_10_20 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_12_20, e4, e0, % 25.88/4.48 | simplifying with (16), (201) gives: % 25.88/4.48 | (253) all_12_20 = all_4_16 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_19, e0, e1, % 25.88/4.48 | simplifying with (52), (165) gives: % 25.88/4.48 | (254) all_10_19 = all_6_23 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_19, e0, e1, % 25.88/4.48 | simplifying with (17), (165) gives: % 25.88/4.48 | (255) all_10_19 = all_4_23 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_19, all_12_19, e0, % 25.88/4.48 | e1, simplifying with (165), (202) gives: % 25.88/4.48 | (256) all_12_19 = all_10_19 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_23, all_12_19, e0, e1, % 25.88/4.48 | simplifying with (139), (202) gives: % 25.88/4.48 | (257) all_12_19 = all_8_23 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_8_18, e1, e1, % 25.88/4.48 | simplifying with (53), (140) gives: % 25.88/4.48 | (258) all_8_18 = all_6_18 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_18, all_10_18, e1, e1, % 25.88/4.48 | simplifying with (140), (166) gives: % 25.88/4.48 | (259) all_10_18 = all_8_18 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_18, all_12_15, e1, % 25.88/4.48 | e1, simplifying with (166), (203) gives: % 25.88/4.48 | (260) all_12_15 = all_10_18 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_12_15, e1, e1, % 25.88/4.48 | simplifying with (18), (203) gives: % 25.88/4.48 | (261) all_12_15 = all_4_15 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_17, e2, e1, % 25.88/4.48 | simplifying with (141), (167) gives: % 25.88/4.48 | (262) all_10_17 = all_8_13 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_17, all_12_14, e2, % 25.88/4.48 | e1, simplifying with (167), (204) gives: % 25.88/4.48 | (263) all_12_14 = all_10_17 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_12_14, e2, e1, % 25.88/4.48 | simplifying with (19), (204) gives: % 25.88/4.48 | (264) all_12_14 = all_4_13 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_10_16, all_12_13, e3, % 25.88/4.48 | e1, simplifying with (168), (205) gives: % 25.88/4.48 | (265) all_12_13 = all_10_16 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_8_8, all_12_13, e3, e1, % 25.88/4.48 | simplifying with (142), (205) gives: % 25.88/4.48 | (266) all_12_13 = all_8_8 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_12_13, e3, e1, % 25.88/4.48 | simplifying with (20), (205) gives: % 25.88/4.48 | (267) all_12_13 = all_4_11 % 25.88/4.48 | % 25.88/4.48 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_15, e4, e1, % 25.88/4.48 | simplifying with (21), (169) gives: % 25.88/4.48 | (268) all_10_15 = all_4_9 % 25.88/4.48 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_15, all_12_12, e4, % 25.88/4.49 | e1, simplifying with (169), (206) gives: % 25.88/4.49 | (269) all_12_12 = all_10_15 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_3, all_12_12, e4, e1, % 25.88/4.49 | simplifying with (143), (206) gives: % 25.88/4.49 | (270) all_12_12 = all_8_3 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_12_12, e4, e1, % 25.88/4.49 | simplifying with (54), (206) gives: % 25.88/4.49 | (271) all_12_12 = all_6_3 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_8_22, e0, e2, % 25.88/4.49 | simplifying with (55), (144) gives: % 25.88/4.49 | (272) all_8_22 = all_6_22 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_14, e0, e2, % 25.88/4.49 | simplifying with (144), (170) gives: % 25.88/4.49 | (273) all_10_14 = all_8_22 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_14, all_12_18, e0, % 25.88/4.49 | e2, simplifying with (170), (207) gives: % 25.88/4.49 | (274) all_12_18 = all_10_14 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_12_18, e0, e2, % 25.88/4.49 | simplifying with (22), (207) gives: % 25.88/4.49 | (275) all_12_18 = all_4_21 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_10_13, e1, e2, % 25.88/4.49 | simplifying with (56), (171) gives: % 25.88/4.49 | (276) all_10_13 = all_6_17 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_13, e1, e2, % 25.88/4.49 | simplifying with (23), (171) gives: % 25.88/4.49 | (277) all_10_13 = all_4_14 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_13, all_12_11, e1, % 25.88/4.49 | e2, simplifying with (171), (208) gives: % 25.88/4.49 | (278) all_12_11 = all_10_13 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_17, all_12_11, e1, e2, % 25.88/4.49 | simplifying with (145), (208) gives: % 25.88/4.49 | (279) all_12_11 = all_8_17 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_12, e2, e2, % 25.88/4.49 | simplifying with (57), (146) gives: % 25.88/4.49 | (280) all_8_12 = all_6_12 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_12, e2, e2, % 25.88/4.49 | simplifying with (146), (172) gives: % 25.88/4.49 | (281) all_10_12 = all_8_12 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_12, all_12_8, e2, e2, % 25.88/4.49 | simplifying with (172), (209) gives: % 25.88/4.49 | (282) all_12_8 = all_10_12 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_12_8, e2, e2, % 25.88/4.49 | simplifying with (24), (209) gives: % 25.88/4.49 | (283) all_12_8 = all_4_8 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_10_11, e3, e2, % 25.88/4.49 | simplifying with (58), (173) gives: % 25.88/4.49 | (284) all_10_11 = all_6_7 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_11, e3, e2, % 25.88/4.49 | simplifying with (25), (173) gives: % 25.88/4.49 | (285) all_10_11 = all_4_6 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_11, all_12_7, e3, e2, % 25.88/4.49 | simplifying with (173), (210) gives: % 25.88/4.49 | (286) all_12_7 = all_10_11 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_7, all_12_7, e3, e2, % 25.88/4.49 | simplifying with (147), (210) gives: % 25.88/4.49 | (287) all_12_7 = all_8_7 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_8_2, e4, e2, % 25.88/4.49 | simplifying with (59), (148) gives: % 25.88/4.49 | (288) all_8_2 = all_6_2 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_10, e4, e2, % 25.88/4.49 | simplifying with (148), (174) gives: % 25.88/4.49 | (289) all_10_10 = all_8_2 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_10, all_12_6, e4, e2, % 25.88/4.49 | simplifying with (174), (211) gives: % 25.88/4.49 | (290) all_12_6 = all_10_10 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_12_6, e4, e2, % 25.88/4.49 | simplifying with (26), (211) gives: % 25.88/4.49 | (291) all_12_6 = all_4_4 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_9, e0, e3, % 25.88/4.49 | simplifying with (27), (175) gives: % 25.88/4.49 | (292) all_10_9 = all_4_19 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_9, all_12_17, e0, e3, % 25.88/4.49 | simplifying with (175), (212) gives: % 25.88/4.49 | (293) all_12_17 = all_10_9 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_21, all_12_17, e0, e3, % 25.88/4.49 | simplifying with (149), (212) gives: % 25.88/4.49 | (294) all_12_17 = all_8_21 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_16, e1, e3, % 25.88/4.49 | simplifying with (60), (150) gives: % 25.88/4.49 | (295) all_8_16 = all_6_16 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_16, all_10_8, e1, e3, % 25.88/4.49 | simplifying with (150), (176) gives: % 25.88/4.49 | (296) all_10_8 = all_8_16 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_8, all_12_10, e1, e3, % 25.88/4.49 | simplifying with (176), (213) gives: % 25.88/4.49 | (297) all_12_10 = all_10_8 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_12_10, e1, e3, % 25.88/4.49 | simplifying with (28), (213) gives: % 25.88/4.49 | (298) all_12_10 = all_4_12 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_10_7, e2, e3, % 25.88/4.49 | simplifying with (61), (177) gives: % 25.88/4.49 | (299) all_10_7 = all_6_11 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_7, e2, e3, % 25.88/4.49 | simplifying with (29), (177) gives: % 25.88/4.49 | (300) all_10_7 = all_4_7 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_7, all_12_5, e2, e3, % 25.88/4.49 | simplifying with (177), (214) gives: % 25.88/4.49 | (301) all_12_5 = all_10_7 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_11, all_12_5, e2, e3, % 25.88/4.49 | simplifying with (151), (214) gives: % 25.88/4.49 | (302) all_12_5 = all_8_11 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_8_6, e3, e3, % 25.88/4.49 | simplifying with (62), (152) gives: % 25.88/4.49 | (303) all_8_6 = all_6_6 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_6, e3, e3, % 25.88/4.49 | simplifying with (152), (178) gives: % 25.88/4.49 | (304) all_10_6 = all_8_6 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_6, all_12_3, e3, e3, % 25.88/4.49 | simplifying with (178), (215) gives: % 25.88/4.49 | (305) all_12_3 = all_10_6 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_12_3, e3, e3, % 25.88/4.49 | simplifying with (30), (215) gives: % 25.88/4.49 | (306) all_12_3 = all_4_3 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_10_5, e4, e3, % 25.88/4.49 | simplifying with (63), (179) gives: % 25.88/4.49 | (307) all_10_5 = all_6_1 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_5, e4, e3, % 25.88/4.49 | simplifying with (31), (179) gives: % 25.88/4.49 | (308) all_10_5 = all_4_1 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_5, all_12_2, e4, e3, % 25.88/4.49 | simplifying with (179), (216) gives: % 25.88/4.49 | (309) all_12_2 = all_10_5 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_1, all_12_2, e4, e3, % 25.88/4.49 | simplifying with (153), (216) gives: % 25.88/4.49 | (310) all_12_2 = all_8_1 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_8_20, e0, e4, % 25.88/4.49 | simplifying with (64), (154) gives: % 25.88/4.49 | (311) all_8_20 = all_6_20 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_8_20, all_10_4, e0, e4, % 25.88/4.49 | simplifying with (154), (180) gives: % 25.88/4.49 | (312) all_10_4 = all_8_20 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_10_4, all_12_16, e0, e4, % 25.88/4.49 | simplifying with (180), (217) gives: % 25.88/4.49 | (313) all_12_16 = all_10_4 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_12_16, e0, e4, % 25.88/4.49 | simplifying with (32), (217) gives: % 25.88/4.49 | (314) all_12_16 = all_4_17 % 25.88/4.49 | % 25.88/4.49 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_10_3, e1, e4, % 25.88/4.49 | simplifying with (65), (181) gives: % 25.88/4.49 | (315) all_10_3 = all_6_15 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with e0, all_10_3, e1, e4, % 25.88/4.50 | simplifying with (8), (181) gives: % 25.88/4.50 | (316) all_10_3 = e0 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_10_3, all_12_9, e1, e4, % 25.88/4.50 | simplifying with (181), (218) gives: % 25.88/4.50 | (317) all_12_9 = all_10_3 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_8_15, all_12_9, e1, e4, % 25.88/4.50 | simplifying with (155), (218) gives: % 25.88/4.50 | (318) all_12_9 = all_8_15 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_2, e2, e4, % 25.88/4.50 | simplifying with (66), (182) gives: % 25.88/4.50 | (319) all_10_2 = all_6_10 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_2, e2, e4, % 25.88/4.50 | simplifying with (33), (182) gives: % 25.88/4.50 | (320) all_10_2 = all_4_5 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_12_4, e2, e4, % 25.88/4.50 | simplifying with (182), (219) gives: % 25.88/4.50 | (321) all_12_4 = all_10_2 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_8_10, all_12_4, e2, e4, % 25.88/4.50 | simplifying with (156), (219) gives: % 25.88/4.50 | (322) all_12_4 = all_8_10 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_1, e3, e4, % 25.88/4.50 | simplifying with (34), (183) gives: % 25.88/4.50 | (323) all_10_1 = all_4_2 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_10_1, all_12_1, e3, e4, % 25.88/4.50 | simplifying with (183), (220) gives: % 25.88/4.50 | (324) all_12_1 = all_10_1 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_8_5, all_12_1, e3, e4, % 25.88/4.50 | simplifying with (157), (220) gives: % 25.88/4.50 | (325) all_12_1 = all_8_5 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_12_1, e3, e4, % 25.88/4.50 | simplifying with (67), (220) gives: % 25.88/4.50 | (326) all_12_1 = all_6_5 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_0, e4, e4, % 25.88/4.50 | simplifying with (68), (158) gives: % 25.88/4.50 | (327) all_8_0 = all_6_0 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_10_0, e4, e4, % 25.88/4.50 | simplifying with (68), (184) gives: % 25.88/4.50 | (328) all_10_0 = all_6_0 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_0, e4, e4, % 25.88/4.50 | simplifying with (35), (184) gives: % 25.88/4.50 | (329) all_10_0 = all_4_0 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with all_8_0, all_12_0, e4, e4, % 25.88/4.50 | simplifying with (158), (221) gives: % 25.88/4.50 | (330) all_12_0 = all_8_0 % 25.88/4.50 | % 25.88/4.50 | GROUND_INST: instantiating (function-axioms) with e1, all_12_0, e4, e4, % 25.88/4.50 | simplifying with (9), (221) gives: % 25.88/4.50 | (331) all_12_0 = e1 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (330), (331) imply: % 25.88/4.50 | (332) all_8_0 = e1 % 25.88/4.50 | % 25.88/4.50 | SIMP: (332) implies: % 25.88/4.50 | (333) all_8_0 = e1 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (324), (325) imply: % 25.88/4.50 | (334) all_10_1 = all_8_5 % 25.88/4.50 | % 25.88/4.50 | SIMP: (334) implies: % 25.88/4.50 | (335) all_10_1 = all_8_5 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (325), (326) imply: % 25.88/4.50 | (336) all_8_5 = all_6_5 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (309), (310) imply: % 25.88/4.50 | (337) all_10_5 = all_8_1 % 25.88/4.50 | % 25.88/4.50 | SIMP: (337) implies: % 25.88/4.50 | (338) all_10_5 = all_8_1 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (305), (306) imply: % 25.88/4.50 | (339) all_10_6 = all_4_3 % 25.88/4.50 | % 25.88/4.50 | SIMP: (339) implies: % 25.88/4.50 | (340) all_10_6 = all_4_3 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (321), (322) imply: % 25.88/4.50 | (341) all_10_2 = all_8_10 % 25.88/4.50 | % 25.88/4.50 | SIMP: (341) implies: % 25.88/4.50 | (342) all_10_2 = all_8_10 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (301), (302) imply: % 25.88/4.50 | (343) all_10_7 = all_8_11 % 25.88/4.50 | % 25.88/4.50 | SIMP: (343) implies: % 25.88/4.50 | (344) all_10_7 = all_8_11 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (290), (291) imply: % 25.88/4.50 | (345) all_10_10 = all_4_4 % 25.88/4.50 | % 25.88/4.50 | SIMP: (345) implies: % 25.88/4.50 | (346) all_10_10 = all_4_4 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (286), (287) imply: % 25.88/4.50 | (347) all_10_11 = all_8_7 % 25.88/4.50 | % 25.88/4.50 | SIMP: (347) implies: % 25.88/4.50 | (348) all_10_11 = all_8_7 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (282), (283) imply: % 25.88/4.50 | (349) all_10_12 = all_4_8 % 25.88/4.50 | % 25.88/4.50 | SIMP: (349) implies: % 25.88/4.50 | (350) all_10_12 = all_4_8 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (317), (318) imply: % 25.88/4.50 | (351) all_10_3 = all_8_15 % 25.88/4.50 | % 25.88/4.50 | SIMP: (351) implies: % 25.88/4.50 | (352) all_10_3 = all_8_15 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (297), (298) imply: % 25.88/4.50 | (353) all_10_8 = all_4_12 % 25.88/4.50 | % 25.88/4.50 | SIMP: (353) implies: % 25.88/4.50 | (354) all_10_8 = all_4_12 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (278), (279) imply: % 25.88/4.50 | (355) all_10_13 = all_8_17 % 25.88/4.50 | % 25.88/4.50 | SIMP: (355) implies: % 25.88/4.50 | (356) all_10_13 = all_8_17 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (269), (270) imply: % 25.88/4.50 | (357) all_10_15 = all_8_3 % 25.88/4.50 | % 25.88/4.50 | SIMP: (357) implies: % 25.88/4.50 | (358) all_10_15 = all_8_3 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (270), (271) imply: % 25.88/4.50 | (359) all_8_3 = all_6_3 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (265), (267) imply: % 25.88/4.50 | (360) all_10_16 = all_4_11 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (265), (266) imply: % 25.88/4.50 | (361) all_10_16 = all_8_8 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (263), (264) imply: % 25.88/4.50 | (362) all_10_17 = all_4_13 % 25.88/4.50 | % 25.88/4.50 | SIMP: (362) implies: % 25.88/4.50 | (363) all_10_17 = all_4_13 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (260), (261) imply: % 25.88/4.50 | (364) all_10_18 = all_4_15 % 25.88/4.50 | % 25.88/4.50 | SIMP: (364) implies: % 25.88/4.50 | (365) all_10_18 = all_4_15 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (313), (314) imply: % 25.88/4.50 | (366) all_10_4 = all_4_17 % 25.88/4.50 | % 25.88/4.50 | SIMP: (366) implies: % 25.88/4.50 | (367) all_10_4 = all_4_17 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (293), (294) imply: % 25.88/4.50 | (368) all_10_9 = all_8_21 % 25.88/4.50 | % 25.88/4.50 | SIMP: (368) implies: % 25.88/4.50 | (369) all_10_9 = all_8_21 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (274), (275) imply: % 25.88/4.50 | (370) all_10_14 = all_4_21 % 25.88/4.50 | % 25.88/4.50 | SIMP: (370) implies: % 25.88/4.50 | (371) all_10_14 = all_4_21 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (256), (257) imply: % 25.88/4.50 | (372) all_10_19 = all_8_23 % 25.88/4.50 | % 25.88/4.50 | SIMP: (372) implies: % 25.88/4.50 | (373) all_10_19 = all_8_23 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (252), (253) imply: % 25.88/4.50 | (374) all_10_20 = all_4_16 % 25.88/4.50 | % 25.88/4.50 | SIMP: (374) implies: % 25.88/4.50 | (375) all_10_20 = all_4_16 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (248), (249) imply: % 25.88/4.50 | (376) all_10_21 = all_8_9 % 25.88/4.50 | % 25.88/4.50 | SIMP: (376) implies: % 25.88/4.50 | (377) all_10_21 = all_8_9 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (244), (245) imply: % 25.88/4.50 | (378) all_10_22 = all_6_14 % 25.88/4.50 | % 25.88/4.50 | SIMP: (378) implies: % 25.88/4.50 | (379) all_10_22 = all_6_14 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (240), (241) imply: % 25.88/4.50 | (380) all_8_19 = all_6_19 % 25.88/4.50 | % 25.88/4.50 | SIMP: (380) implies: % 25.88/4.50 | (381) all_8_19 = all_6_19 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (235), (236) imply: % 25.88/4.50 | (382) all_10_24 = e3 % 25.88/4.50 | % 25.88/4.50 | SIMP: (382) implies: % 25.88/4.50 | (383) all_10_24 = e3 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (328), (329) imply: % 25.88/4.50 | (384) all_6_0 = all_4_0 % 25.88/4.50 | % 25.88/4.50 | SIMP: (384) implies: % 25.88/4.50 | (385) all_6_0 = all_4_0 % 25.88/4.50 | % 25.88/4.50 | COMBINE_EQS: (323), (335) imply: % 25.88/4.51 | (386) all_8_5 = all_4_2 % 25.88/4.51 | % 25.88/4.51 | SIMP: (386) implies: % 25.88/4.51 | (387) all_8_5 = all_4_2 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (320), (342) imply: % 25.88/4.51 | (388) all_8_10 = all_4_5 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (319), (342) imply: % 25.88/4.51 | (389) all_8_10 = all_6_10 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (315), (352) imply: % 25.88/4.51 | (390) all_8_15 = all_6_15 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (316), (352) imply: % 25.88/4.51 | (391) all_8_15 = e0 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (312), (367) imply: % 25.88/4.51 | (392) all_8_20 = all_4_17 % 25.88/4.51 | % 25.88/4.51 | SIMP: (392) implies: % 25.88/4.51 | (393) all_8_20 = all_4_17 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (308), (338) imply: % 25.88/4.51 | (394) all_8_1 = all_4_1 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (307), (338) imply: % 25.88/4.51 | (395) all_8_1 = all_6_1 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (304), (340) imply: % 25.88/4.51 | (396) all_8_6 = all_4_3 % 25.88/4.51 | % 25.88/4.51 | SIMP: (396) implies: % 25.88/4.51 | (397) all_8_6 = all_4_3 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (299), (344) imply: % 25.88/4.51 | (398) all_8_11 = all_6_11 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (300), (344) imply: % 25.88/4.51 | (399) all_8_11 = all_4_7 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (296), (354) imply: % 25.88/4.51 | (400) all_8_16 = all_4_12 % 25.88/4.51 | % 25.88/4.51 | SIMP: (400) implies: % 25.88/4.51 | (401) all_8_16 = all_4_12 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (292), (369) imply: % 25.88/4.51 | (402) all_8_21 = all_4_19 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (289), (346) imply: % 25.88/4.51 | (403) all_8_2 = all_4_4 % 25.88/4.51 | % 25.88/4.51 | SIMP: (403) implies: % 25.88/4.51 | (404) all_8_2 = all_4_4 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (284), (348) imply: % 25.88/4.51 | (405) all_8_7 = all_6_7 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (285), (348) imply: % 25.88/4.51 | (406) all_8_7 = all_4_6 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (281), (350) imply: % 25.88/4.51 | (407) all_8_12 = all_4_8 % 25.88/4.51 | % 25.88/4.51 | SIMP: (407) implies: % 25.88/4.51 | (408) all_8_12 = all_4_8 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (277), (356) imply: % 25.88/4.51 | (409) all_8_17 = all_4_14 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (276), (356) imply: % 25.88/4.51 | (410) all_8_17 = all_6_17 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (273), (371) imply: % 25.88/4.51 | (411) all_8_22 = all_4_21 % 25.88/4.51 | % 25.88/4.51 | SIMP: (411) implies: % 25.88/4.51 | (412) all_8_22 = all_4_21 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (268), (358) imply: % 25.88/4.51 | (413) all_8_3 = all_4_9 % 25.88/4.51 | % 25.88/4.51 | SIMP: (413) implies: % 25.88/4.51 | (414) all_8_3 = all_4_9 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (360), (361) imply: % 25.88/4.51 | (415) all_8_8 = all_4_11 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (262), (363) imply: % 25.88/4.51 | (416) all_8_13 = all_4_13 % 25.88/4.51 | % 25.88/4.51 | SIMP: (416) implies: % 25.88/4.51 | (417) all_8_13 = all_4_13 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (259), (365) imply: % 25.88/4.51 | (418) all_8_18 = all_4_15 % 25.88/4.51 | % 25.88/4.51 | SIMP: (418) implies: % 25.88/4.51 | (419) all_8_18 = all_4_15 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (255), (373) imply: % 25.88/4.51 | (420) all_8_23 = all_4_23 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (254), (373) imply: % 25.88/4.51 | (421) all_8_23 = all_6_23 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (251), (375) imply: % 25.88/4.51 | (422) all_8_4 = all_4_16 % 25.88/4.51 | % 25.88/4.51 | SIMP: (422) implies: % 25.88/4.51 | (423) all_8_4 = all_4_16 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (247), (377) imply: % 25.88/4.51 | (424) all_8_9 = all_4_18 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (246), (377) imply: % 25.88/4.51 | (425) all_8_9 = all_6_9 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (243), (379) imply: % 25.88/4.51 | (426) all_8_14 = all_6_14 % 25.88/4.51 | % 25.88/4.51 | SIMP: (426) implies: % 25.88/4.51 | (427) all_8_14 = all_6_14 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (238), (239) imply: % 25.88/4.51 | (428) all_8_19 = e2 % 25.88/4.51 | % 25.88/4.51 | SIMP: (428) implies: % 25.88/4.51 | (429) all_8_19 = e2 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (234), (383) imply: % 25.88/4.51 | (430) all_8_24 = e3 % 25.88/4.51 | % 25.88/4.51 | SIMP: (430) implies: % 25.88/4.51 | (431) all_8_24 = e3 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (327), (333) imply: % 25.88/4.51 | (432) all_6_0 = e1 % 25.88/4.51 | % 25.88/4.51 | SIMP: (432) implies: % 25.88/4.51 | (433) all_6_0 = e1 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (394), (395) imply: % 25.88/4.51 | (434) all_6_1 = all_4_1 % 25.88/4.51 | % 25.88/4.51 | SIMP: (434) implies: % 25.88/4.51 | (435) all_6_1 = all_4_1 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (288), (404) imply: % 25.88/4.51 | (436) all_6_2 = all_4_4 % 25.88/4.51 | % 25.88/4.51 | SIMP: (436) implies: % 25.88/4.51 | (437) all_6_2 = all_4_4 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (359), (414) imply: % 25.88/4.51 | (438) all_6_3 = all_4_9 % 25.88/4.51 | % 25.88/4.51 | SIMP: (438) implies: % 25.88/4.51 | (439) all_6_3 = all_4_9 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (250), (423) imply: % 25.88/4.51 | (440) all_6_4 = all_4_16 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (336), (387) imply: % 25.88/4.51 | (441) all_6_5 = all_4_2 % 25.88/4.51 | % 25.88/4.51 | SIMP: (441) implies: % 25.88/4.51 | (442) all_6_5 = all_4_2 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (303), (397) imply: % 25.88/4.51 | (443) all_6_6 = all_4_3 % 25.88/4.51 | % 25.88/4.51 | SIMP: (443) implies: % 25.88/4.51 | (444) all_6_6 = all_4_3 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (405), (406) imply: % 25.88/4.51 | (445) all_6_7 = all_4_6 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (424), (425) imply: % 25.88/4.51 | (446) all_6_9 = all_4_18 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (388), (389) imply: % 25.88/4.51 | (447) all_6_10 = all_4_5 % 25.88/4.51 | % 25.88/4.51 | SIMP: (447) implies: % 25.88/4.51 | (448) all_6_10 = all_4_5 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (398), (399) imply: % 25.88/4.51 | (449) all_6_11 = all_4_7 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (280), (408) imply: % 25.88/4.51 | (450) all_6_12 = all_4_8 % 25.88/4.51 | % 25.88/4.51 | SIMP: (450) implies: % 25.88/4.51 | (451) all_6_12 = all_4_8 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (242), (427) imply: % 25.88/4.51 | (452) all_6_14 = all_4_20 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (390), (391) imply: % 25.88/4.51 | (453) all_6_15 = e0 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (295), (401) imply: % 25.88/4.51 | (454) all_6_16 = all_4_12 % 25.88/4.51 | % 25.88/4.51 | SIMP: (454) implies: % 25.88/4.51 | (455) all_6_16 = all_4_12 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (409), (410) imply: % 25.88/4.51 | (456) all_6_17 = all_4_14 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (258), (419) imply: % 25.88/4.51 | (457) all_6_18 = all_4_15 % 25.88/4.51 | % 25.88/4.51 | SIMP: (457) implies: % 25.88/4.51 | (458) all_6_18 = all_4_15 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (381), (429) imply: % 25.88/4.51 | (459) all_6_19 = e2 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (237), (381) imply: % 25.88/4.51 | (460) all_6_19 = all_4_22 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (311), (393) imply: % 25.88/4.51 | (461) all_6_20 = all_4_17 % 25.88/4.51 | % 25.88/4.51 | SIMP: (461) implies: % 25.88/4.51 | (462) all_6_20 = all_4_17 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (272), (412) imply: % 25.88/4.51 | (463) all_6_22 = all_4_21 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (420), (421) imply: % 25.88/4.51 | (464) all_6_23 = all_4_23 % 25.88/4.51 | % 25.88/4.51 | COMBINE_EQS: (233), (431) imply: % 25.88/4.51 | (465) all_6_24 = e3 % 25.88/4.51 | % 25.88/4.51 | SIMP: (465) implies: % 26.05/4.51 | (466) all_6_24 = e3 % 26.05/4.51 | % 26.05/4.51 | COMBINE_EQS: (385), (433) imply: % 26.05/4.51 | (467) all_4_0 = e1 % 26.05/4.51 | % 26.05/4.51 | COMBINE_EQS: (459), (460) imply: % 26.05/4.51 | (468) all_4_22 = e2 % 26.05/4.51 | % 26.05/4.51 | COMBINE_EQS: (232), (466) imply: % 26.05/4.51 | (469) all_4_24 = e3 % 26.05/4.51 | % 26.05/4.51 | SIMP: (469) implies: % 26.05/4.51 | (470) all_4_24 = e3 % 26.05/4.51 | % 26.05/4.51 | COMBINE_EQS: (245), (452) imply: % 26.05/4.51 | (471) all_12_22 = all_4_20 % 26.05/4.51 | % 26.05/4.51 | COMBINE_EQS: (249), (424) imply: % 26.05/4.51 | (472) all_12_21 = all_4_18 % 26.05/4.51 | % 26.05/4.51 | COMBINE_EQS: (257), (420) imply: % 26.05/4.51 | (473) all_12_19 = all_4_23 % 26.05/4.51 | % 26.05/4.52 | COMBINE_EQS: (294), (402) imply: % 26.05/4.52 | (474) all_12_17 = all_4_19 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (270), (414) imply: % 26.05/4.52 | (475) all_12_12 = all_4_9 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (279), (409) imply: % 26.05/4.52 | (476) all_12_11 = all_4_14 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (318), (391) imply: % 26.05/4.52 | (477) all_12_9 = e0 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (287), (406) imply: % 26.05/4.52 | (478) all_12_7 = all_4_6 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (302), (399) imply: % 26.05/4.52 | (479) all_12_5 = all_4_7 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (322), (388) imply: % 26.05/4.52 | (480) all_12_4 = all_4_5 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (310), (394) imply: % 26.05/4.52 | (481) all_12_2 = all_4_1 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (325), (387) imply: % 26.05/4.52 | (482) all_12_1 = all_4_2 % 26.05/4.52 | % 26.05/4.52 | REDUCE: (133), (333), (423) imply: % 26.05/4.52 | (483) ~ (all_4_16 = e1) % 26.05/4.52 | % 26.05/4.52 | SIMP: (483) implies: % 26.05/4.52 | (484) ~ (all_4_16 = e1) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (132), (333), (388) imply: % 26.05/4.52 | (485) ~ (all_4_5 = e1) % 26.05/4.52 | % 26.05/4.52 | SIMP: (485) implies: % 26.05/4.52 | (486) ~ (all_4_5 = e1) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (131), (333), (393) imply: % 26.05/4.52 | (487) ~ (all_4_17 = e1) % 26.05/4.52 | % 26.05/4.52 | SIMP: (487) implies: % 26.05/4.52 | (488) ~ (all_4_17 = e1) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (130), (394), (404) imply: % 26.05/4.52 | (489) ~ (all_4_1 = all_4_4) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (129), (394), (414) imply: % 26.05/4.52 | (490) ~ (all_4_1 = all_4_9) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (128), (394), (423) imply: % 26.05/4.52 | (491) ~ (all_4_1 = all_4_16) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (127), (394), (399) imply: % 26.05/4.52 | (492) ~ (all_4_1 = all_4_7) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (126), (394), (401) imply: % 26.05/4.52 | (493) ~ (all_4_1 = all_4_12) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (125), (404), (409) imply: % 26.05/4.52 | (494) ~ (all_4_4 = all_4_14) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (124), (404), (412) imply: % 26.05/4.52 | (495) ~ (all_4_4 = all_4_21) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (123), (414), (423) imply: % 26.05/4.52 | (496) ~ (all_4_9 = all_4_16) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (122), (423), (424) imply: % 26.05/4.52 | (497) ~ (all_4_16 = all_4_18) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (121), (242), (423) imply: % 26.05/4.52 | (498) ~ (all_4_16 = all_4_20) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (120), (423), (429) imply: % 26.05/4.52 | (499) ~ (all_4_16 = e2) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (119), (423), (431) imply: % 26.05/4.52 | (500) ~ (all_4_16 = e3) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (118), (387), (397) imply: % 26.05/4.52 | (501) ~ (all_4_2 = all_4_3) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (117), (387), (406) imply: % 26.05/4.52 | (502) ~ (all_4_2 = all_4_6) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (116), (387), (415) imply: % 26.05/4.52 | (503) ~ (all_4_2 = all_4_11) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (115), (387), (424) imply: % 26.05/4.52 | (504) ~ (all_4_2 = all_4_18) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (114), (387), (388) imply: % 26.05/4.52 | (505) ~ (all_4_2 = all_4_5) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (113), (387), (393) imply: % 26.05/4.52 | (506) ~ (all_4_2 = all_4_17) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (112), (397), (406) imply: % 26.05/4.52 | (507) ~ (all_4_3 = all_4_6) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (111), (397), (415) imply: % 26.05/4.52 | (508) ~ (all_4_3 = all_4_11) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (110), (397), (424) imply: % 26.05/4.52 | (509) ~ (all_4_3 = all_4_18) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (109), (397), (401) imply: % 26.05/4.52 | (510) ~ (all_4_3 = all_4_12) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (108), (397), (402) imply: % 26.05/4.52 | (511) ~ (all_4_3 = all_4_19) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (107), (406), (415) imply: % 26.05/4.52 | (512) ~ (all_4_6 = all_4_11) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (106), (406), (412) imply: % 26.05/4.52 | (513) ~ (all_4_6 = all_4_21) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (105), (415), (424) imply: % 26.05/4.52 | (514) ~ (all_4_11 = all_4_18) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (104), (415), (419) imply: % 26.05/4.52 | (515) ~ (all_4_11 = all_4_15) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (103), (415), (420) imply: % 26.05/4.52 | (516) ~ (all_4_11 = all_4_23) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (102), (242), (424) imply: % 26.05/4.52 | (517) ~ (all_4_18 = all_4_20) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (101), (424), (429) imply: % 26.05/4.52 | (518) ~ (all_4_18 = e2) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (100), (424), (431) imply: % 26.05/4.52 | (519) ~ (all_4_18 = e3) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (99), (388), (399) imply: % 26.05/4.52 | (520) ~ (all_4_5 = all_4_7) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (98), (388), (408) imply: % 26.05/4.52 | (521) ~ (all_4_5 = all_4_8) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (97), (388), (417) imply: % 26.05/4.52 | (522) ~ (all_4_5 = all_4_13) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (96), (242), (388) imply: % 26.05/4.52 | (523) ~ (all_4_5 = all_4_20) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (95), (388), (391) imply: % 26.05/4.52 | (524) ~ (all_4_5 = e0) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (94), (388), (393) imply: % 26.05/4.52 | (525) ~ (all_4_5 = all_4_17) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (93), (242), (399) imply: % 26.05/4.52 | (526) ~ (all_4_7 = all_4_20) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (92), (242), (408) imply: % 26.05/4.52 | (527) ~ (all_4_8 = all_4_20) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (91), (242), (417) imply: % 26.05/4.52 | (528) ~ (all_4_13 = all_4_20) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (90), (242), (429) imply: % 26.05/4.52 | (529) ~ (all_4_20 = e2) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (89), (391), (393) imply: % 26.05/4.52 | (530) ~ (all_4_17 = e0) % 26.05/4.52 | % 26.05/4.52 | SIMP: (530) implies: % 26.05/4.52 | (531) ~ (all_4_17 = e0) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (88), (401), (409) imply: % 26.05/4.52 | (532) ~ (all_4_12 = all_4_14) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (87), (401), (419) imply: % 26.05/4.52 | (533) ~ (all_4_12 = all_4_15) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (86), (401), (429) imply: % 26.05/4.52 | (534) ~ (all_4_12 = e2) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (85), (401), (402) imply: % 26.05/4.52 | (535) ~ (all_4_12 = all_4_19) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (84), (409), (419) imply: % 26.05/4.52 | (536) ~ (all_4_14 = all_4_15) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (83), (409), (429) imply: % 26.05/4.52 | (537) ~ (all_4_14 = e2) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (82), (409), (412) imply: % 26.05/4.52 | (538) ~ (all_4_14 = all_4_21) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (81), (419), (420) imply: % 26.05/4.52 | (539) ~ (all_4_15 = all_4_23) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (80), (393), (402) imply: % 26.05/4.52 | (540) ~ (all_4_17 = all_4_19) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (79), (393), (412) imply: % 26.05/4.52 | (541) ~ (all_4_17 = all_4_21) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (78), (393), (420) imply: % 26.05/4.52 | (542) ~ (all_4_17 = all_4_23) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (77), (393), (431) imply: % 26.05/4.52 | (543) ~ (all_4_17 = e3) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (76), (402), (412) imply: % 26.05/4.52 | (544) ~ (all_4_19 = all_4_21) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (75), (402), (420) imply: % 26.05/4.52 | (545) ~ (all_4_19 = all_4_23) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (74), (412), (420) imply: % 26.05/4.52 | (546) ~ (all_4_21 = all_4_23) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (73), (412), (431) imply: % 26.05/4.52 | (547) ~ (all_4_21 = e3) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (72), (420), (431) imply: % 26.05/4.52 | (548) ~ (all_4_23 = e3) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (45), (467) imply: % 26.05/4.52 | (549) op(e1, e1) = e4 % 26.05/4.52 | % 26.05/4.52 | REDUCE: (37), (468) imply: % 26.05/4.52 | (550) op(e2, all_4_23) = e1 % 26.05/4.52 | % 26.05/4.52 | REDUCE: (36), (470) imply: % 26.05/4.52 | (551) op(e3, e3) = e0 % 26.05/4.52 | % 26.05/4.52 | GROUND_INST: instantiating (function-axioms) with all_4_15, e4, e1, e1, % 26.05/4.52 | simplifying with (18), (549) gives: % 26.05/4.52 | (552) all_4_15 = e4 % 26.05/4.52 | % 26.05/4.52 | GROUND_INST: instantiating (function-axioms) with all_4_3, e0, e3, e3, % 26.05/4.52 | simplifying with (30), (551) gives: % 26.05/4.52 | (553) all_4_3 = e0 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (261), (552) imply: % 26.05/4.52 | (554) all_12_15 = e4 % 26.05/4.52 | % 26.05/4.52 | COMBINE_EQS: (306), (553) imply: % 26.05/4.52 | (555) all_12_3 = e0 % 26.05/4.52 | % 26.05/4.52 | REDUCE: (501), (553) imply: % 26.05/4.52 | (556) ~ (all_4_2 = e0) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (507), (553) imply: % 26.05/4.52 | (557) ~ (all_4_6 = e0) % 26.05/4.52 | % 26.05/4.52 | SIMP: (557) implies: % 26.05/4.52 | (558) ~ (all_4_6 = e0) % 26.05/4.52 | % 26.05/4.52 | REDUCE: (508), (553) imply: % 26.05/4.53 | (559) ~ (all_4_11 = e0) % 26.05/4.53 | % 26.05/4.53 | SIMP: (559) implies: % 26.05/4.53 | (560) ~ (all_4_11 = e0) % 26.05/4.53 | % 26.05/4.53 | REDUCE: (510), (553) imply: % 26.05/4.53 | (561) ~ (all_4_12 = e0) % 26.05/4.53 | % 26.05/4.53 | SIMP: (561) implies: % 26.05/4.53 | (562) ~ (all_4_12 = e0) % 26.05/4.53 | % 26.05/4.53 | REDUCE: (509), (553) imply: % 26.05/4.53 | (563) ~ (all_4_18 = e0) % 26.05/4.53 | % 26.05/4.53 | SIMP: (563) implies: % 26.05/4.53 | (564) ~ (all_4_18 = e0) % 26.05/4.53 | % 26.05/4.53 | REDUCE: (511), (553) imply: % 26.05/4.53 | (565) ~ (all_4_19 = e0) % 26.05/4.53 | % 26.05/4.53 | SIMP: (565) implies: % 26.05/4.53 | (566) ~ (all_4_19 = e0) % 26.05/4.53 | % 26.05/4.53 | REDUCE: (515), (552) imply: % 26.05/4.53 | (567) ~ (all_4_11 = e4) % 26.05/4.53 | % 26.05/4.53 | REDUCE: (533), (552) imply: % 26.05/4.53 | (568) ~ (all_4_12 = e4) % 26.05/4.53 | % 26.05/4.53 | REDUCE: (536), (552) imply: % 26.05/4.53 | (569) ~ (all_4_14 = e4) % 26.05/4.53 | % 26.05/4.53 | REDUCE: (539), (552) imply: % 26.05/4.53 | (570) ~ (all_4_23 = e4) % 26.05/4.53 | % 26.05/4.53 | SIMP: (570) implies: % 26.05/4.53 | (571) ~ (all_4_23 = e4) % 26.05/4.53 | % 26.05/4.53 | BETA: splitting (222) gives: % 26.05/4.53 | % 26.05/4.53 | Case 1: % 26.05/4.53 | | % 26.05/4.53 | | (572) all_12_24 = e0 % 26.05/4.53 | | % 26.05/4.53 | | COMBINE_EQS: (236), (572) imply: % 26.05/4.53 | | (573) e3 = e0 % 26.05/4.53 | | % 26.05/4.53 | | SIMP: (573) implies: % 26.05/4.53 | | (574) e3 = e0 % 26.05/4.53 | | % 26.05/4.53 | | REDUCE: (5), (574) imply: % 26.05/4.53 | | (575) $false % 26.05/4.53 | | % 26.05/4.53 | | CLOSE: (575) is inconsistent. % 26.05/4.53 | | % 26.05/4.53 | Case 2: % 26.05/4.53 | | % 26.05/4.53 | | (576) (all_12_16 = e0 | all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0) % 26.05/4.53 | | & (all_12_20 = e0 | all_12_21 = e0 | all_12_22 = e0 | all_12_23 = % 26.05/4.53 | | e0) % 26.05/4.53 | | % 26.05/4.53 | | ALPHA: (576) implies: % 26.05/4.53 | | (577) all_12_16 = e0 | all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0 % 26.05/4.53 | | % 26.05/4.53 | | BETA: splitting (186) gives: % 26.05/4.53 | | % 26.05/4.53 | | Case 1: % 26.05/4.53 | | | % 26.05/4.53 | | | (578) all_10_20 = e4 % 26.05/4.53 | | | % 26.05/4.53 | | | COMBINE_EQS: (375), (578) imply: % 26.05/4.53 | | | (579) all_4_16 = e4 % 26.05/4.53 | | | % 26.05/4.53 | | | SIMP: (579) implies: % 26.05/4.53 | | | (580) all_4_16 = e4 % 26.05/4.53 | | | % 26.05/4.53 | | | COMBINE_EQS: (440), (580) imply: % 26.05/4.53 | | | (581) all_6_4 = e4 % 26.05/4.53 | | | % 26.05/4.53 | | | REDUCE: (491), (580) imply: % 26.05/4.53 | | | (582) ~ (all_4_1 = e4) % 26.05/4.53 | | | % 26.05/4.53 | | | REDUCE: (497), (580) imply: % 26.05/4.53 | | | (583) ~ (all_4_18 = e4) % 26.05/4.53 | | | % 26.05/4.53 | | | SIMP: (583) implies: % 26.05/4.53 | | | (584) ~ (all_4_18 = e4) % 26.05/4.53 | | | % 26.05/4.53 | | | REDUCE: (40), (580) imply: % 26.05/4.53 | | | (585) op(e4, all_4_17) = e4 % 26.05/4.53 | | | % 26.05/4.53 | | | REDUCE: (39), (580) imply: % 26.05/4.53 | | | (586) op(all_4_17, e4) = e0 % 26.05/4.53 | | | % 26.05/4.53 | | | BETA: splitting (185) gives: % 26.05/4.53 | | | % 26.05/4.53 | | | Case 1: % 26.05/4.53 | | | | % 26.05/4.53 | | | | (587) all_10_21 = e4 % 26.05/4.53 | | | | % 26.05/4.53 | | | | REF_CLOSE: (247), (584), (587) are inconsistent by sub-proof #17. % 26.05/4.53 | | | | % 26.05/4.53 | | | Case 2: % 26.05/4.53 | | | | % 26.05/4.53 | | | | (588) all_10_21 = e3 | all_10_21 = e2 | all_10_21 = e1 | all_10_21 = % 26.05/4.53 | | | | e0 % 26.05/4.53 | | | | % 26.05/4.53 | | | | BETA: splitting (588) gives: % 26.05/4.53 | | | | % 26.05/4.53 | | | | Case 1: % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | (589) all_10_21 = e1 % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | COMBINE_EQS: (247), (589) imply: % 26.05/4.53 | | | | | (590) all_4_18 = e1 % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | SIMP: (590) implies: % 26.05/4.53 | | | | | (591) all_4_18 = e1 % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | COMBINE_EQS: (472), (591) imply: % 26.05/4.53 | | | | | (592) all_12_21 = e1 % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | REDUCE: (504), (591) imply: % 26.05/4.53 | | | | | (593) ~ (all_4_2 = e1) % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | REDUCE: (514), (591) imply: % 26.05/4.53 | | | | | (594) ~ (all_4_11 = e1) % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | REDUCE: (564), (591) imply: % 26.05/4.53 | | | | | (595) ~ (e1 = e0) % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | BETA: splitting (193) gives: % 26.05/4.53 | | | | | % 26.05/4.53 | | | | | Case 1: % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | (596) all_10_4 = e4 % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | COMBINE_EQS: (367), (596) imply: % 26.05/4.53 | | | | | | (597) all_4_17 = e4 % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | SIMP: (597) implies: % 26.05/4.53 | | | | | | (598) all_4_17 = e4 % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | REDUCE: (506), (598) imply: % 26.05/4.53 | | | | | | (599) ~ (all_4_2 = e4) % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | REDUCE: (525), (598) imply: % 26.05/4.53 | | | | | | (600) ~ (all_4_5 = e4) % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | REDUCE: (540), (598) imply: % 26.05/4.53 | | | | | | (601) ~ (all_4_19 = e4) % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | SIMP: (601) implies: % 26.05/4.53 | | | | | | (602) ~ (all_4_19 = e4) % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | REDUCE: (488), (598) imply: % 26.05/4.53 | | | | | | (603) ~ (e4 = e1) % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | REDUCE: (531), (598) imply: % 26.05/4.53 | | | | | | (604) ~ (e4 = e0) % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | REDUCE: (586), (598) imply: % 26.05/4.53 | | | | | | (605) op(e4, e4) = e0 % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | REDUCE: (585), (598) imply: % 26.05/4.53 | | | | | | (606) op(e4, e4) = e4 % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | BETA: splitting (229) gives: % 26.05/4.53 | | | | | | % 26.05/4.53 | | | | | | Case 1: % 26.05/4.53 | | | | | | | % 26.05/4.53 | | | | | | | (607) all_12_2 = e4 % 26.05/4.53 | | | | | | | % 26.05/4.53 | | | | | | | REF_CLOSE: (481), (582), (607) are inconsistent by sub-proof #16. % 26.05/4.53 | | | | | | | % 26.05/4.53 | | | | | | Case 2: % 26.05/4.53 | | | | | | | % 26.05/4.53 | | | | | | | (608) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 | % 26.05/4.53 | | | | | | | all_12_17 = e4 % 26.05/4.53 | | | | | | | % 26.05/4.53 | | | | | | | BETA: splitting (230) gives: % 26.05/4.53 | | | | | | | % 26.05/4.53 | | | | | | | Case 1: % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | | (609) all_12_1 = e4 % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | | COMBINE_EQS: (482), (609) imply: % 26.05/4.53 | | | | | | | | (610) all_4_2 = e4 % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | | REDUCE: (599), (610) imply: % 26.05/4.53 | | | | | | | | (611) $false % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | | CLOSE: (611) is inconsistent. % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | Case 2: % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | | (612) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 | % 26.05/4.53 | | | | | | | | all_12_21 = e4 % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | | BETA: splitting (612) gives: % 26.05/4.53 | | | | | | | | % 26.05/4.53 | | | | | | | | Case 1: % 26.05/4.53 | | | | | | | | | % 26.05/4.53 | | | | | | | | | (613) all_12_3 = e4 % 26.05/4.53 | | | | | | | | | % 26.05/4.53 | | | | | | | | | REF_CLOSE: (555), (604), (613) are inconsistent by sub-proof % 26.05/4.53 | | | | | | | | | #15. % 26.05/4.53 | | | | | | | | | % 26.05/4.53 | | | | | | | | Case 2: % 26.05/4.53 | | | | | | | | | % 26.05/4.53 | | | | | | | | | (614) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4 % 26.05/4.53 | | | | | | | | | % 26.05/4.53 | | | | | | | | | BETA: splitting (614) gives: % 26.05/4.53 | | | | | | | | | % 26.05/4.53 | | | | | | | | | Case 1: % 26.05/4.53 | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | (615) all_12_7 = e4 % 26.05/4.53 | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | COMBINE_EQS: (478), (615) imply: % 26.05/4.53 | | | | | | | | | | (616) all_4_6 = e4 % 26.05/4.53 | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | REDUCE: (43), (616) imply: % 26.05/4.53 | | | | | | | | | | (617) op(e4, all_4_7) = e3 % 26.05/4.53 | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | REDUCE: (42), (616) imply: % 26.05/4.53 | | | | | | | | | | (618) op(all_4_7, e4) = e2 % 26.05/4.53 | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | BETA: splitting (228) gives: % 26.05/4.53 | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | Case 1: % 26.05/4.53 | | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | | (619) all_12_4 = e4 % 26.05/4.53 | | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | | REF_CLOSE: (480), (600), (619) are inconsistent by sub-proof % 26.05/4.53 | | | | | | | | | | | #14. % 26.05/4.53 | | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | Case 2: % 26.05/4.53 | | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | | (620) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 | % 26.05/4.53 | | | | | | | | | | | all_12_22 = e4 % 26.05/4.53 | | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | | BETA: splitting (620) gives: % 26.05/4.53 | | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | | Case 1: % 26.05/4.53 | | | | | | | | | | | | % 26.05/4.53 | | | | | | | | | | | | (621) all_12_5 = e4 % 26.15/4.53 | | | | | | | | | | | | % 26.15/4.53 | | | | | | | | | | | | COMBINE_EQS: (479), (621) imply: % 26.15/4.53 | | | | | | | | | | | | (622) all_4_7 = e4 % 26.15/4.53 | | | | | | | | | | | | % 26.15/4.53 | | | | | | | | | | | | SIMP: (622) implies: % 26.15/4.53 | | | | | | | | | | | | (623) all_4_7 = e4 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | REDUCE: (618), (623) imply: % 26.15/4.54 | | | | | | | | | | | | (624) op(e4, e4) = e2 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | REDUCE: (617), (623) imply: % 26.15/4.54 | | | | | | | | | | | | (625) op(e4, e4) = e3 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e4, % 26.15/4.54 | | | | | | | | | | | | e4, simplifying with (9), (625) gives: % 26.15/4.54 | | | | | | | | | | | | (626) e3 = e1 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e4, % 26.15/4.54 | | | | | | | | | | | | e4, simplifying with (605), (625) gives: % 26.15/4.54 | | | | | | | | | | | | (627) e3 = e0 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4, % 26.15/4.54 | | | | | | | | | | | | e4, simplifying with (606), (625) gives: % 26.15/4.54 | | | | | | | | | | | | (628) e4 = e3 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e4, % 26.15/4.54 | | | | | | | | | | | | e4, simplifying with (606), (624) gives: % 26.15/4.54 | | | | | | | | | | | | (629) e4 = e2 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | COMBINE_EQS: (628), (629) imply: % 26.15/4.54 | | | | | | | | | | | | (630) e3 = e2 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | SIMP: (630) implies: % 26.15/4.54 | | | | | | | | | | | | (631) e3 = e2 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | COMBINE_EQS: (627), (631) imply: % 26.15/4.54 | | | | | | | | | | | | (632) e2 = e0 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | COMBINE_EQS: (626), (631) imply: % 26.15/4.54 | | | | | | | | | | | | (633) e2 = e1 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | COMBINE_EQS: (632), (633) imply: % 26.15/4.54 | | | | | | | | | | | | (634) e1 = e0 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | SIMP: (634) implies: % 26.15/4.54 | | | | | | | | | | | | (635) e1 = e0 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | REDUCE: (595), (635) imply: % 26.15/4.54 | | | | | | | | | | | | (636) $false % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | CLOSE: (636) is inconsistent. % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | (637) ~ (all_12_5 = e4) % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | REDUCE: (479), (637) imply: % 26.15/4.54 | | | | | | | | | | | | (638) ~ (all_4_7 = e4) % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | REF_CLOSE: (298), (474), (479), (555), (568), (602), (604), % 26.15/4.54 | | | | | | | | | | | | (608), (638) are inconsistent by sub-proof #11. % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | End of split % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | End of split % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | (639) all_12_13 = e4 | all_12_21 = e4 % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | BETA: splitting (639) gives: % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | Case 1: % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | (640) all_12_13 = e4 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | COMBINE_EQS: (267), (640) imply: % 26.15/4.54 | | | | | | | | | | | (641) all_4_11 = e4 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | SIMP: (641) implies: % 26.15/4.54 | | | | | | | | | | | (642) all_4_11 = e4 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | REDUCE: (567), (642) imply: % 26.15/4.54 | | | | | | | | | | | (643) $false % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | CLOSE: (643) is inconsistent. % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | (644) all_12_21 = e4 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | COMBINE_EQS: (592), (644) imply: % 26.15/4.54 | | | | | | | | | | | (645) e4 = e1 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | REDUCE: (603), (645) imply: % 26.15/4.54 | | | | | | | | | | | (646) $false % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | CLOSE: (646) is inconsistent. % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | End of split % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | End of split % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | End of split % 26.15/4.54 | | | | | | | | % 26.15/4.54 | | | | | | | End of split % 26.15/4.54 | | | | | | | % 26.15/4.54 | | | | | | End of split % 26.15/4.54 | | | | | | % 26.15/4.54 | | | | | Case 2: % 26.15/4.54 | | | | | | % 26.15/4.54 | | | | | | (647) all_10_4 = e3 | all_10_4 = e2 | all_10_4 = e1 | all_10_4 = % 26.15/4.54 | | | | | | e0 % 26.15/4.54 | | | | | | % 26.15/4.54 | | | | | | BETA: splitting (647) gives: % 26.15/4.54 | | | | | | % 26.15/4.54 | | | | | | Case 1: % 26.15/4.54 | | | | | | | % 26.15/4.54 | | | | | | | (648) all_10_4 = e1 % 26.15/4.54 | | | | | | | % 26.15/4.54 | | | | | | | REF_CLOSE: (367), (488), (648) are inconsistent by sub-proof #10. % 26.15/4.54 | | | | | | | % 26.15/4.54 | | | | | | Case 2: % 26.15/4.54 | | | | | | | % 26.15/4.54 | | | | | | | (649) all_10_4 = e3 | all_10_4 = e2 | all_10_4 = e0 % 26.15/4.54 | | | | | | | % 26.15/4.54 | | | | | | | BETA: splitting (649) gives: % 26.15/4.54 | | | | | | | % 26.15/4.54 | | | | | | | Case 1: % 26.15/4.54 | | | | | | | | % 26.15/4.54 | | | | | | | | (650) all_10_4 = e0 % 26.15/4.54 | | | | | | | | % 26.15/4.54 | | | | | | | | REF_CLOSE: (367), (531), (650) are inconsistent by sub-proof #9. % 26.15/4.54 | | | | | | | | % 26.15/4.54 | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | % 26.15/4.54 | | | | | | | | (651) ~ (all_10_4 = e0) % 26.15/4.54 | | | | | | | | (652) all_10_4 = e3 | all_10_4 = e2 % 26.15/4.54 | | | | | | | | % 26.15/4.54 | | | | | | | | BETA: splitting (652) gives: % 26.15/4.54 | | | | | | | | % 26.15/4.54 | | | | | | | | Case 1: % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | (653) all_10_4 = e3 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REF_CLOSE: (367), (543), (653) are inconsistent by sub-proof % 26.15/4.54 | | | | | | | | | #8. % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | (654) all_10_4 = e2 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | COMBINE_EQS: (367), (654) imply: % 26.15/4.54 | | | | | | | | | (655) all_4_17 = e2 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | SIMP: (655) implies: % 26.15/4.54 | | | | | | | | | (656) all_4_17 = e2 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | COMBINE_EQS: (314), (656) imply: % 26.15/4.54 | | | | | | | | | (657) all_12_16 = e2 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (506), (656) imply: % 26.15/4.54 | | | | | | | | | (658) ~ (all_4_2 = e2) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (541), (656) imply: % 26.15/4.54 | | | | | | | | | (659) ~ (all_4_21 = e2) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | SIMP: (659) implies: % 26.15/4.54 | | | | | | | | | (660) ~ (all_4_21 = e2) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (531), (656) imply: % 26.15/4.54 | | | | | | | | | (661) ~ (e2 = e0) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (586), (656) imply: % 26.15/4.54 | | | | | | | | | (662) op(e2, e4) = e0 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (585), (656) imply: % 26.15/4.54 | | | | | | | | | (663) op(e4, e2) = e4 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4, e0, % 26.15/4.54 | | | | | | | | | e4, e2, simplifying with (26), (662) gives: % 26.15/4.54 | | | | | | | | | (664) all_4_4 = e0 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e4, % 26.15/4.54 | | | | | | | | | e2, e4, simplifying with (33), (663) gives: % 26.15/4.54 | | | | | | | | | (665) all_4_5 = e4 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | COMBINE_EQS: (291), (664) imply: % 26.15/4.54 | | | | | | | | | (666) all_12_6 = e0 % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (505), (665) imply: % 26.15/4.54 | | | | | | | | | (667) ~ (all_4_2 = e4) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (494), (664) imply: % 26.15/4.54 | | | | | | | | | (668) ~ (all_4_14 = e0) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | SIMP: (668) implies: % 26.15/4.54 | | | | | | | | | (669) ~ (all_4_14 = e0) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (495), (664) imply: % 26.15/4.54 | | | | | | | | | (670) ~ (all_4_21 = e0) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | SIMP: (670) implies: % 26.15/4.54 | | | | | | | | | (671) ~ (all_4_21 = e0) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (520), (665) imply: % 26.15/4.54 | | | | | | | | | (672) ~ (all_4_7 = e4) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | SIMP: (672) implies: % 26.15/4.54 | | | | | | | | | (673) ~ (all_4_7 = e4) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (521), (665) imply: % 26.15/4.54 | | | | | | | | | (674) ~ (all_4_8 = e4) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | SIMP: (674) implies: % 26.15/4.54 | | | | | | | | | (675) ~ (all_4_8 = e4) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | REDUCE: (524), (665) imply: % 26.15/4.54 | | | | | | | | | (676) ~ (e4 = e0) % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | BETA: splitting (195) gives: % 26.15/4.54 | | | | | | | | | % 26.15/4.54 | | | | | | | | | Case 1: % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | (677) all_10_1 = e4 % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | COMBINE_EQS: (323), (677) imply: % 26.15/4.54 | | | | | | | | | | (678) all_4_2 = e4 % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | SIMP: (678) implies: % 26.15/4.54 | | | | | | | | | | (679) all_4_2 = e4 % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | REDUCE: (667), (679) imply: % 26.15/4.54 | | | | | | | | | | (680) $false % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | CLOSE: (680) is inconsistent. % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | (681) all_10_1 = e3 | all_10_1 = e2 | all_10_1 = e1 | % 26.15/4.54 | | | | | | | | | | all_10_1 = e0 % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | BETA: splitting (681) gives: % 26.15/4.54 | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | Case 1: % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | (682) all_10_1 = e1 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | COMBINE_EQS: (323), (682) imply: % 26.15/4.54 | | | | | | | | | | | (683) all_4_2 = e1 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | SIMP: (683) implies: % 26.15/4.54 | | | | | | | | | | | (684) all_4_2 = e1 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | REDUCE: (593), (684) imply: % 26.15/4.54 | | | | | | | | | | | (685) $false % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | CLOSE: (685) is inconsistent. % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | (686) all_10_1 = e3 | all_10_1 = e2 | all_10_1 = e0 % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | BETA: splitting (577) gives: % 26.15/4.54 | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | Case 1: % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | (687) all_12_16 = e0 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | COMBINE_EQS: (657), (687) imply: % 26.15/4.54 | | | | | | | | | | | | (688) e2 = e0 % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | REDUCE: (661), (688) imply: % 26.15/4.54 | | | | | | | | | | | | (689) $false % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | | CLOSE: (689) is inconsistent. % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.54 | | | | | | | | | | | Case 2: % 26.15/4.54 | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | (690) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0 % 26.15/4.55 | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | BETA: splitting (690) gives: % 26.15/4.55 | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | (691) all_12_17 = e0 % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | COMBINE_EQS: (474), (691) imply: % 26.15/4.55 | | | | | | | | | | | | | (692) all_4_19 = e0 % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | SIMP: (692) implies: % 26.15/4.55 | | | | | | | | | | | | | (693) all_4_19 = e0 % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | REDUCE: (566), (693) imply: % 26.15/4.55 | | | | | | | | | | | | | (694) $false % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | CLOSE: (694) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | (695) all_12_18 = e0 | all_12_19 = e0 % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | BETA: splitting (229) gives: % 26.15/4.55 | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | (696) all_12_2 = e4 % 26.15/4.55 | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | REF_CLOSE: (481), (582), (696) are inconsistent by sub-proof % 26.15/4.55 | | | | | | | | | | | | | | #16. % 26.15/4.55 | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | (697) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 | % 26.15/4.55 | | | | | | | | | | | | | | all_12_17 = e4 % 26.15/4.55 | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | BETA: splitting (697) gives: % 26.15/4.55 | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | (698) all_12_3 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | REF_CLOSE: (555), (676), (698) are inconsistent by sub-proof % 26.15/4.55 | | | | | | | | | | | | | | | #15. % 26.15/4.55 | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | (699) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | BETA: splitting (699) gives: % 26.15/4.55 | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | (700) all_12_5 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | REF_CLOSE: (479), (673), (700) are inconsistent by sub-proof % 26.15/4.55 | | | | | | | | | | | | | | | | #13. % 26.15/4.55 | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | (701) all_12_10 = e4 | all_12_17 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | BETA: splitting (701) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | (702) all_12_10 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (298), (568), (702) are inconsistent by sub-proof % 26.15/4.55 | | | | | | | | | | | | | | | | | #12. % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | (703) all_12_17 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (703) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | (704) all_4_19 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | SIMP: (704) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | (705) all_4_19 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | REDUCE: (544), (705) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | (706) ~ (all_4_21 = e4) % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | SIMP: (706) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | (707) ~ (all_4_21 = e4) % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | BETA: splitting (686) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | (708) all_10_1 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (708) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | (709) all_4_2 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | SIMP: (709) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | (710) all_4_2 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | REDUCE: (556), (710) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | (711) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | CLOSE: (711) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | (712) all_10_1 = e3 | all_10_1 = e2 % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | BETA: splitting (712) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | (713) all_10_1 = e3 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (713) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | (714) all_4_2 = e3 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | SIMP: (714) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | (715) all_4_2 = e3 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (715) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | (716) all_6_5 = e3 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | REDUCE: (503), (715) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | (717) ~ (all_4_11 = e3) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | SIMP: (717) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | (718) ~ (all_4_11 = e3) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | (719) all_10_16 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (719) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | (720) all_4_11 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | SIMP: (720) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | (721) all_4_11 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (721) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | (722) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | CLOSE: (722) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | (723) all_10_16 = e3 | all_10_16 = e2 | all_10_16 = e1 | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | all_10_16 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | (724) all_10_14 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (724) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | (725) all_4_21 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | SIMP: (725) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | (726) all_4_21 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (726) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | (727) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | CLOSE: (727) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | (728) ~ (all_10_14 = e4) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | (729) all_10_14 = e3 | all_10_14 = e2 | all_10_14 = e1 | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | all_10_14 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (729) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (730) all_10_14 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (730) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (731) all_4_21 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | SIMP: (731) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (732) all_4_21 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (732) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (733) all_12_18 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (732) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (734) ~ (all_4_14 = e1) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (732) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (735) ~ (all_4_23 = e1) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | SIMP: (735) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (736) ~ (all_4_23 = e1) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (732) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (737) ~ (e4 = e1) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | SIMP: (737) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | (738) ~ (e4 = e1) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | (739) all_10_13 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (739) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | (740) all_4_14 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (740) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | (741) all_4_14 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (741) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | (742) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (742) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | (743) ~ (all_10_13 = e4) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | (744) all_10_13 = e3 | all_10_13 = e2 | all_10_13 = e1 | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | all_10_13 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (744) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | (745) all_10_13 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (745) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | (746) all_4_14 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (746) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | (747) all_4_14 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (747) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | (748) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (748) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | (749) all_10_13 = e3 | all_10_13 = e2 | all_10_13 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (695) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_12_18 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (750) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (751) e1 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (751) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (752) e1 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (752) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (753) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (753) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_12_19 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (754) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_4_23 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (755) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_4_23 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (756) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_6_23 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (756) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (758) ~ (e4 = e0) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (756) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | (759) ~ (e1 = e0) % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (723) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_10_16 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (760) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_4_11 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (761) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_4_11 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (762) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (763) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (763) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_10_16 = e3 | all_10_16 = e2 | all_10_16 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) all_12_9 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (765) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) e1 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (766) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (767) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_12_10 = e1 | all_12_11 = e1 | all_12_15 = e1 | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e1 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_12_6 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (769) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) e4 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (770) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) $false % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (771) is inconsistent. % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (764) gives: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_10_16 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (773) imply: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_4_11 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (774) implies: % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_4_11 = e0 % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (775) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (776) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) ~ (all_10_16 = e0) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_10_16 = e3 | all_10_16 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (778) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_10_16 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (779) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_4_11 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (780) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_4_11 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (781) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (782) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_10_16 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (783) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_4_11 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (784) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_4_11 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (785) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) ~ (all_4_6 = e2) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (772) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_12_7 = e4 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (787) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_4_6 = e4 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (788) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) ~ (e4 = e2) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (749) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_10_13 = e0 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (790) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_4_14 = e0 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (791) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (792) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_10_13 = e3 | all_10_13 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_12_6 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (794) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) e2 = e0 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (795) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (796) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_12_10 = e1 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (798) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_4_12 = e1 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (799) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_4_12 = e1 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (800) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_6_16 = e1 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (800) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) ~ (e2 = e1) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (802) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) ~ (e2 = e1) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) ( ~ (all_6_0 = e4) & ~ (all_6_5 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_10 = e2) & ~ (all_6_15 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_20 = e0)) | ( ~ (all_6_1 = e4) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_6 = e3) & ~ (all_6_11 = e2) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_16 = e1) & ~ (all_6_21 = e0)) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (804) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) ~ (all_6_0 = e4) & ~ (all_6_5 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_10 = e2) & ~ (all_6_15 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_20 = e0) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (805) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) ~ (all_6_5 = e3) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (806) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (807) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) ~ (all_6_1 = e4) & ~ (all_6_6 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_11 = e2) & ~ (all_6_16 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_21 = e0) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (808) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) ~ (all_6_16 = e1) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (809) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (810) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) ( ~ (all_6_2 = e4) & ~ (all_6_7 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_12 = e2) & ~ (all_6_17 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_22 = e0)) | ( ~ (all_6_3 = e4) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_8 = e3) & ~ (all_6_13 = e2) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_18 = e1) & ~ (all_6_23 = e0)) | ( ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_4 = e4) & ~ (all_6_9 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_14 = e2) & ~ (all_6_19 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_24 = e0)) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) ~ (all_6_2 = e4) & ~ (all_6_7 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_12 = e2) & ~ (all_6_17 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_22 = e0) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (812) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) ~ (all_6_12 = e2) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (813) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) ~ (all_4_8 = e2) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (793) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_10_13 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (815) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_4_14 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (816) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_12_11 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (816) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) ~ (e3 = e2) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (797) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) all_12_7 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (819) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) e4 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (820) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (821) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_12_8 = e2 | all_12_11 = e2 | all_12_18 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (822) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_12_8 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (823) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_4_8 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (824) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (825) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) all_12_11 = e2 | all_12_18 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_12_11 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (827) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) e3 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (828) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) e3 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (829) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (830) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_12_18 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (831) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) e2 = e1 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (832) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) e2 = e1 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (833) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (834) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_10_13 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (835) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_4_14 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (836) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (837) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) ( ~ (all_6_3 = e4) & ~ (all_6_8 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_13 = e2) & ~ (all_6_18 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_23 = e0)) | ( ~ (all_6_4 = e4) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_9 = e3) & ~ (all_6_14 = e2) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_19 = e1) & ~ (all_6_24 = e0)) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (838) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) ~ (all_6_3 = e4) & ~ (all_6_8 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_13 = e2) & ~ (all_6_18 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_23 = e0) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (839) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) ~ (all_6_23 = e0) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (840) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (841) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) ~ (all_6_4 = e4) & ~ (all_6_9 = e3) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_14 = e2) & ~ (all_6_19 = e1) & ~ % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_24 = e0) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (842) implies: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) ~ (all_6_4 = e4) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (843) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (844) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) ~ (all_12_10 = e1) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (298), (845) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) ~ (all_4_12 = e1) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_10_8 = e4 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (568), (847) are inconsistent by sub-proof % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_10_8 = e3 | all_10_8 = e2 | all_10_8 = e1 | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8 = e0 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (793) gives: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_10_13 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (849) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_4_14 = e3 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (850) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) ~ (all_4_12 = e3) % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (534), (562), (846), (848), (851) are % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_10_13 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (852) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_4_14 = e2 % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (853) imply: % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) $false % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (854) is inconsistent. % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (855) gives: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) all_12_8 = e4 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (856) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) all_4_8 = e4 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (857) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) $false % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (858) is inconsistent. % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_12_11 = e4 | all_12_18 = e4 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (859) gives: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_12_11 = e4 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (476), (569), (860) are inconsistent by sub-proof % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #5. % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_12_18 = e4 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (861) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) e4 = e1 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (862) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) $false % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (863) is inconsistent. % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | (864) all_10_14 = e3 | all_10_14 = e2 | all_10_14 = e0 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (864) gives: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | (865) all_10_14 = e0 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (865) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | (866) all_4_21 = e0 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (866) implies: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | (867) all_4_21 = e0 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (867) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | (868) $false % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (868) is inconsistent. % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | (869) all_10_14 = e3 | all_10_14 = e2 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (869) gives: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (870) all_10_14 = e3 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (870) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (871) all_4_21 = e3 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (871) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (872) $false % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (872) is inconsistent. % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (873) all_10_14 = e2 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (873) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (874) all_4_21 = e2 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (874) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | (875) $false % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (875) is inconsistent. % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | (876) all_10_1 = e2 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (876) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | (877) all_4_2 = e2 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | SIMP: (877) implies: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | (878) all_4_2 = e2 % 26.15/4.57 | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | REDUCE: (658), (878) imply: % 26.15/4.57 | | | | | | | | | | | | | | | | | | | (879) $false % 26.15/4.57 | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | | CLOSE: (879) is inconsistent. % 26.15/4.57 | | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | | % 26.15/4.57 | | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | | % 26.15/4.57 | | | | | | | | | End of split % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | End of split % 26.15/4.57 | | | | | | | | % 26.15/4.57 | | | | | | | End of split % 26.15/4.57 | | | | | | | % 26.15/4.57 | | | | | | End of split % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | End of split % 26.15/4.57 | | | | | % 26.15/4.57 | | | | Case 2: % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | (880) all_10_21 = e3 | all_10_21 = e2 | all_10_21 = e0 % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | REF_CLOSE: (247), (518), (519), (564), (880) are inconsistent by % 26.15/4.57 | | | | | sub-proof #4. % 26.15/4.57 | | | | | % 26.15/4.57 | | | | End of split % 26.15/4.57 | | | | % 26.15/4.57 | | | End of split % 26.15/4.57 | | | % 26.15/4.57 | | Case 2: % 26.15/4.57 | | | % 26.15/4.57 | | | (881) all_10_20 = e3 | all_10_20 = e2 | all_10_20 = e1 | all_10_20 = e0 % 26.15/4.57 | | | % 26.15/4.57 | | | BETA: splitting (881) gives: % 26.15/4.57 | | | % 26.15/4.57 | | | Case 1: % 26.15/4.57 | | | | % 26.15/4.57 | | | | (882) all_10_20 = e1 % 26.15/4.57 | | | | % 26.15/4.57 | | | | COMBINE_EQS: (375), (882) imply: % 26.15/4.57 | | | | (883) all_4_16 = e1 % 26.15/4.57 | | | | % 26.15/4.57 | | | | SIMP: (883) implies: % 26.15/4.57 | | | | (884) all_4_16 = e1 % 26.15/4.57 | | | | % 26.15/4.57 | | | | REDUCE: (484), (884) imply: % 26.15/4.57 | | | | (885) $false % 26.15/4.57 | | | | % 26.15/4.57 | | | | CLOSE: (885) is inconsistent. % 26.15/4.57 | | | | % 26.15/4.57 | | | Case 2: % 26.15/4.57 | | | | % 26.15/4.57 | | | | (886) all_10_20 = e3 | all_10_20 = e2 | all_10_20 = e0 % 26.15/4.57 | | | | % 26.15/4.57 | | | | BETA: splitting (886) gives: % 26.15/4.57 | | | | % 26.15/4.57 | | | | Case 1: % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | (887) all_10_20 = e0 % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | COMBINE_EQS: (375), (887) imply: % 26.15/4.57 | | | | | (888) all_4_16 = e0 % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | SIMP: (888) implies: % 26.15/4.57 | | | | | (889) all_4_16 = e0 % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | COMBINE_EQS: (440), (889) imply: % 26.15/4.57 | | | | | (890) all_6_4 = e0 % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | REDUCE: (491), (889) imply: % 26.15/4.57 | | | | | (891) ~ (all_4_1 = e0) % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | REDUCE: (496), (889) imply: % 26.15/4.57 | | | | | (892) ~ (all_4_9 = e0) % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | REDUCE: (498), (889) imply: % 26.15/4.57 | | | | | (893) ~ (all_4_20 = e0) % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | SIMP: (893) implies: % 26.15/4.57 | | | | | (894) ~ (all_4_20 = e0) % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | REDUCE: (40), (889) imply: % 26.15/4.57 | | | | | (895) op(e0, all_4_17) = e4 % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | REDUCE: (39), (889) imply: % 26.15/4.57 | | | | | (896) op(all_4_17, e0) = e0 % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | BETA: splitting (193) gives: % 26.15/4.57 | | | | | % 26.15/4.57 | | | | | Case 1: % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | (897) all_10_4 = e4 % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | COMBINE_EQS: (367), (897) imply: % 26.15/4.57 | | | | | | (898) all_4_17 = e4 % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | SIMP: (898) implies: % 26.15/4.57 | | | | | | (899) all_4_17 = e4 % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | REDUCE: (531), (899) imply: % 26.15/4.57 | | | | | | (900) ~ (e4 = e0) % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | REDUCE: (896), (899) imply: % 26.15/4.57 | | | | | | (901) op(e4, e0) = e0 % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | REDUCE: (32), (899) imply: % 26.15/4.57 | | | | | | (902) op(e4, e0) = e4 % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e0, e4, % 26.15/4.57 | | | | | | simplifying with (901), (902) gives: % 26.15/4.57 | | | | | | (903) e4 = e0 % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | REDUCE: (900), (903) imply: % 26.15/4.57 | | | | | | (904) $false % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | CLOSE: (904) is inconsistent. % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | Case 2: % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | (905) all_10_4 = e3 | all_10_4 = e2 | all_10_4 = e1 | all_10_4 = % 26.15/4.57 | | | | | | e0 % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | BETA: splitting (905) gives: % 26.15/4.57 | | | | | | % 26.15/4.57 | | | | | | Case 1: % 26.15/4.57 | | | | | | | % 26.15/4.57 | | | | | | | (906) all_10_4 = e1 % 26.15/4.57 | | | | | | | % 26.15/4.57 | | | | | | | REF_CLOSE: (367), (488), (906) are inconsistent by sub-proof #10. % 26.15/4.57 | | | | | | | % 26.15/4.57 | | | | | | Case 2: % 26.15/4.57 | | | | | | | % 26.15/4.57 | | | | | | | (907) all_10_4 = e3 | all_10_4 = e2 | all_10_4 = e0 % 26.15/4.57 | | | | | | | % 26.15/4.57 | | | | | | | BETA: splitting (907) gives: % 26.15/4.57 | | | | | | | % 26.15/4.57 | | | | | | | Case 1: % 26.15/4.57 | | | | | | | | % 26.15/4.57 | | | | | | | | (908) all_10_4 = e0 % 26.15/4.57 | | | | | | | | % 26.15/4.57 | | | | | | | | REF_CLOSE: (367), (531), (908) are inconsistent by sub-proof #9. % 26.15/4.57 | | | | | | | | % 26.15/4.57 | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | % 26.15/4.57 | | | | | | | | (909) all_10_4 = e3 | all_10_4 = e2 % 26.15/4.57 | | | | | | | | % 26.15/4.57 | | | | | | | | BETA: splitting (909) gives: % 26.15/4.57 | | | | | | | | % 26.15/4.57 | | | | | | | | Case 1: % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | (910) all_10_4 = e3 % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | REF_CLOSE: (367), (543), (910) are inconsistent by sub-proof % 26.15/4.57 | | | | | | | | | #8. % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | Case 2: % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | (911) all_10_4 = e2 % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | COMBINE_EQS: (367), (911) imply: % 26.15/4.57 | | | | | | | | | (912) all_4_17 = e2 % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | SIMP: (912) implies: % 26.15/4.57 | | | | | | | | | (913) all_4_17 = e2 % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | COMBINE_EQS: (314), (913) imply: % 26.15/4.57 | | | | | | | | | (914) all_12_16 = e2 % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | REDUCE: (506), (913) imply: % 26.15/4.57 | | | | | | | | | (915) ~ (all_4_2 = e2) % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | REDUCE: (525), (913) imply: % 26.15/4.57 | | | | | | | | | (916) ~ (all_4_5 = e2) % 26.15/4.57 | | | | | | | | | % 26.15/4.57 | | | | | | | | | REDUCE: (540), (913) imply: % 26.15/4.58 | | | | | | | | | (917) ~ (all_4_19 = e2) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | SIMP: (917) implies: % 26.15/4.58 | | | | | | | | | (918) ~ (all_4_19 = e2) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (542), (913) imply: % 26.15/4.58 | | | | | | | | | (919) ~ (all_4_23 = e2) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | SIMP: (919) implies: % 26.15/4.58 | | | | | | | | | (920) ~ (all_4_23 = e2) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (896), (913) imply: % 26.15/4.58 | | | | | | | | | (921) op(e2, e0) = e0 % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (895), (913) imply: % 26.15/4.58 | | | | | | | | | (922) op(e0, e2) = e4 % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_20, e4, % 26.15/4.58 | | | | | | | | | e2, e0, simplifying with (14), (922) gives: % 26.15/4.58 | | | | | | | | | (923) all_4_20 = e4 % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_21, e0, % 26.15/4.58 | | | | | | | | | e0, e2, simplifying with (22), (921) gives: % 26.15/4.58 | | | | | | | | | (924) all_4_21 = e0 % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | COMBINE_EQS: (471), (923) imply: % 26.15/4.58 | | | | | | | | | (925) all_12_22 = e4 % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | COMBINE_EQS: (275), (924) imply: % 26.15/4.58 | | | | | | | | | (926) all_12_18 = e0 % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (523), (923) imply: % 26.15/4.58 | | | | | | | | | (927) ~ (all_4_5 = e4) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (526), (923) imply: % 26.15/4.58 | | | | | | | | | (928) ~ (all_4_7 = e4) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (527), (923) imply: % 26.15/4.58 | | | | | | | | | (929) ~ (all_4_8 = e4) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (528), (923) imply: % 26.15/4.58 | | | | | | | | | (930) ~ (all_4_13 = e4) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (517), (923) imply: % 26.15/4.58 | | | | | | | | | (931) ~ (all_4_18 = e4) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (529), (923) imply: % 26.15/4.58 | | | | | | | | | (932) ~ (e4 = e2) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (894), (923) imply: % 26.15/4.58 | | | | | | | | | (933) ~ (e4 = e0) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | REDUCE: (546), (924) imply: % 26.15/4.58 | | | | | | | | | (934) ~ (all_4_23 = e0) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | SIMP: (934) implies: % 26.15/4.58 | | | | | | | | | (935) ~ (all_4_23 = e0) % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | BETA: splitting (185) gives: % 26.15/4.58 | | | | | | | | | % 26.15/4.58 | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | (936) all_10_21 = e4 % 26.15/4.58 | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | REF_CLOSE: (247), (931), (936) are inconsistent by sub-proof % 26.15/4.58 | | | | | | | | | | #17. % 26.15/4.58 | | | | | | | | | | % 26.15/4.58 | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | (937) all_10_21 = e3 | all_10_21 = e2 | all_10_21 = e1 | % 26.15/4.58 | | | | | | | | | | all_10_21 = e0 % 26.15/4.58 | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | BETA: splitting (187) gives: % 26.15/4.58 | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | (938) all_10_19 = e4 % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | COMBINE_EQS: (255), (938) imply: % 26.15/4.58 | | | | | | | | | | | (939) all_4_23 = e4 % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | SIMP: (939) implies: % 26.15/4.58 | | | | | | | | | | | (940) all_4_23 = e4 % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | REDUCE: (571), (940) imply: % 26.15/4.58 | | | | | | | | | | | (941) $false % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | CLOSE: (941) is inconsistent. % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | (942) ~ (all_10_19 = e4) % 26.15/4.58 | | | | | | | | | | | (943) all_10_19 = e3 | all_10_19 = e2 | all_10_19 = e1 | % 26.15/4.58 | | | | | | | | | | | all_10_19 = e0 % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | BETA: splitting (943) gives: % 26.15/4.58 | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | (944) all_10_19 = e1 % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | COMBINE_EQS: (255), (944) imply: % 26.15/4.58 | | | | | | | | | | | | (945) all_4_23 = e1 % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | SIMP: (945) implies: % 26.15/4.58 | | | | | | | | | | | | (946) all_4_23 = e1 % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | COMBINE_EQS: (464), (946) imply: % 26.15/4.58 | | | | | | | | | | | | (947) all_6_23 = e1 % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | COMBINE_EQS: (473), (946) imply: % 26.15/4.58 | | | | | | | | | | | | (948) all_12_19 = e1 % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | REDUCE: (545), (946) imply: % 26.15/4.58 | | | | | | | | | | | | (949) ~ (all_4_19 = e1) % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | REDUCE: (571), (946) imply: % 26.15/4.58 | | | | | | | | | | | | (950) ~ (e4 = e1) % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | SIMP: (950) implies: % 26.15/4.58 | | | | | | | | | | | | (951) ~ (e4 = e1) % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | REDUCE: (935), (946) imply: % 26.15/4.58 | | | | | | | | | | | | (952) ~ (e1 = e0) % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | REDUCE: (550), (946) imply: % 26.15/4.58 | | | | | | | | | | | | (953) op(e2, e1) = e1 % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | BETA: splitting (191) gives: % 26.15/4.58 | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | (954) all_10_9 = e4 % 26.15/4.58 | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | COMBINE_EQS: (292), (954) imply: % 26.15/4.58 | | | | | | | | | | | | | (955) all_4_19 = e4 % 26.15/4.58 | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | REDUCE: (38), (955) imply: % 26.15/4.58 | | | | | | | | | | | | | (956) op(all_4_18, e4) = e3 % 26.15/4.58 | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | BETA: splitting (231) gives: % 26.15/4.58 | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | (957) all_12_0 = e4 % 26.15/4.58 | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | REF_CLOSE: (331), (951), (957) are inconsistent by sub-proof % 26.15/4.58 | | | | | | | | | | | | | | #3. % 26.15/4.58 | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | (958) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 | % 26.15/4.58 | | | | | | | | | | | | | | all_12_16 = e4 % 26.15/4.58 | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | BETA: splitting (958) gives: % 26.15/4.58 | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | (959) all_12_1 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | COMBINE_EQS: (482), (959) imply: % 26.15/4.58 | | | | | | | | | | | | | | | (960) all_4_2 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | COMBINE_EQS: (442), (960) imply: % 26.15/4.58 | | | | | | | | | | | | | | | (961) all_6_5 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | REDUCE: (505), (960) imply: % 26.15/4.58 | | | | | | | | | | | | | | | (962) ~ (all_4_5 = e4) % 26.15/4.58 | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 26.15/4.58 | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | (963) all_12_12 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (963) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | (964) all_4_9 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | SIMP: (964) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | (965) all_4_9 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | REDUCE: (892), (965) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | (966) $false % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | CLOSE: (966) is inconsistent. % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | (967) all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 | % 26.15/4.58 | | | | | | | | | | | | | | | | all_12_19 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | BETA: splitting (967) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | (968) all_12_13 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (968) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | (969) all_4_11 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | SIMP: (969) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | (970) all_4_11 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | REDUCE: (560), (970) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | (971) $false % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | CLOSE: (971) is inconsistent. % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | (972) all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | BETA: splitting (972) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | (973) all_12_14 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (973) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | (974) all_4_13 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | SIMP: (974) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | (975) all_4_13 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | REDUCE: (930), (975) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | (976) ~ (e4 = e0) % 26.15/4.58 | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | (977) all_10_21 = e1 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (977) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | (978) all_4_18 = e1 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | SIMP: (978) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | (979) all_4_18 = e1 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | REDUCE: (956), (979) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | (980) op(e1, e4) = e3 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | (981) all_10_2 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (981) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | (982) all_4_5 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | SIMP: (982) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | (983) all_4_5 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (927), (983) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | (984) $false % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (984) is inconsistent. % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | (985) ~ (all_10_2 = e4) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | (986) all_10_2 = e3 | all_10_2 = e2 | all_10_2 = e1 | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | all_10_2 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (986) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | (987) all_10_2 = e1 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (987) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | (988) all_4_5 = e1 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | SIMP: (988) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | (989) all_4_5 = e1 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (989) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | (990) $false % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | CLOSE: (990) is inconsistent. % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | (991) all_10_2 = e3 | all_10_2 = e2 | all_10_2 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | (992) all_12_6 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (992) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | (993) all_4_4 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (993) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | (994) all_4_4 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (994) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | (995) ~ (all_4_1 = e4) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (994) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | (996) op(all_4_5, e4) = e2 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (991) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | (997) all_10_2 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (997) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | (998) all_4_5 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (998) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | (999) all_4_5 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (524), (999) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | (1000) $false % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1000) is inconsistent. % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | (1001) all_10_2 = e3 | all_10_2 = e2 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_10_2 = e3 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (1002) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_4_5 = e3 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1003) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1004) all_4_5 = e3 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (1004) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_12_4 = e3 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (996), (1004) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1006) op(e3, e4) = e2 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, e3, % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (21), (980) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_4_9 = e3 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, e1, % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (23), (953) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_4_14 = e1 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e2, % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (31), (1006) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1009) all_4_1 = e2 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (492), (1009) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1010) ~ (all_4_7 = e2) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1010) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1011) ~ (all_4_7 = e2) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (1007), (1009) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1012) ~ (e3 = e2) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1012) implies: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1013) ~ (e3 = e2) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (1009) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1014) ~ (all_4_12 = e2) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (1009) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1015) ~ (e4 = e2) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1009) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1016) ~ (e2 = e0) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (1008) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | (1017) ~ (all_4_12 = e1) % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_10_8 = e4 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (568), (1018) are inconsistent by sub-proof % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | #7. % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_10_8 = e3 | all_10_8 = e2 | all_10_8 = e1 | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8 = e0 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_12_4 = e2 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1020) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) e3 = e2 % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (1021) imply: % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) $false % 26.15/4.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1022) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_12_5 = e2 | all_12_8 = e2 | all_12_14 = e2 | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_12_5 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1024) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_4_7 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1025) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_4_7 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1011), (1026) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1027) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_12_8 = e2 | all_12_14 = e2 | all_12_22 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1028) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_12_8 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (1029) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_4_8 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (1030) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_6_12 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) ( ~ (all_6_0 = e4) & ~ (all_6_1 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_2 = e2) & ~ (all_6_3 = e1) & ~ (all_6_4 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)) | ( ~ (all_6_5 = e4) & ~ (all_6_6 = % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_6_7 = e2) & ~ (all_6_8 = e1) & % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_6_9 = e0)) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1032) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) ~ (all_6_0 = e4) & ~ (all_6_1 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_2 = e2) & ~ (all_6_3 = e1) & ~ (all_6_4 = % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1033) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) ~ (all_6_4 = e0) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (890), (1034) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1035) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) ~ (all_6_5 = e4) & ~ (all_6_6 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_7 = e2) & ~ (all_6_8 = e1) & ~ (all_6_9 = % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1036) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) ~ (all_6_5 = e4) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (961), (1037) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1038) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) ( ~ (all_6_10 = e4) & ~ (all_6_11 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_12 = e2) & ~ (all_6_13 = e1) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_14 = e0)) | ( ~ (all_6_15 = e4) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_16 = e3) & ~ (all_6_17 = e2) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_18 = e1) & ~ (all_6_19 = e0)) | ( ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_20 = e4) & ~ (all_6_21 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_22 = e2) & ~ (all_6_23 = e1) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_24 = e0)) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1039) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) ~ (all_6_10 = e4) & ~ (all_6_11 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_12 = e2) & ~ (all_6_13 = e1) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_14 = e0) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1040) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) ~ (all_6_12 = e2) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1031), (1041) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1042) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) ( ~ (all_6_15 = e4) & ~ (all_6_16 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_17 = e2) & ~ (all_6_18 = e1) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_19 = e0)) | ( ~ (all_6_20 = e4) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_21 = e3) & ~ (all_6_22 = e2) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_23 = e1) & ~ (all_6_24 = e0)) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1043) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) ~ (all_6_15 = e4) & ~ (all_6_16 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_17 = e2) & ~ (all_6_18 = e1) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_19 = e0) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1044) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) ~ (all_6_16 = e3) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (455), (1045) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) ~ (all_4_12 = e3) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (534), (562), (1017), (1019), (1046) are % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) ~ (all_6_20 = e4) & ~ (all_6_21 = e3) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_22 = e2) & ~ (all_6_23 = e1) & ~ % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_6_24 = e0) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1047) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) ~ (all_6_23 = e1) % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (947), (1048) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1049) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_12_14 = e2 | all_12_22 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1050) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_12_14 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (973), (1051) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) e2 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1016), (1052) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1053) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_12_22 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (925), (1054) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) e4 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1055) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) e4 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (932), (1056) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1057) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_10_2 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (1058) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_4_5 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1059) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_4_5 = e2 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (1060) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | (1061) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1061) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | (1062) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (476), (477), (478), (480), (482), (502), % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | (558), (569), (914), (926), (927), (929), (932), % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | (933), (958), (1062) are inconsistent by sub-proof % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | #1. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1063) all_10_21 = e3 | all_10_21 = e2 | all_10_21 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (518), (519), (564), (1063) are % 26.15/4.59 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | (1064) all_12_15 = e0 | all_12_19 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives: % 26.15/4.59 | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1065) all_12_15 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1065) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1066) e4 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | REDUCE: (933), (1066) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1067) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | CLOSE: (1067) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1068) all_12_19 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (948), (1068) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1069) e1 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | SIMP: (1069) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1070) e1 = e0 % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | REDUCE: (952), (1070) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | | | | (1071) $false % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | | CLOSE: (1071) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | (1072) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | REF_CLOSE: (477), (480), (914), (927), (932), (933), (1072) % 26.15/4.59 | | | | | | | | | | | | | | | are inconsistent by sub-proof #2. % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | End of split % 26.15/4.59 | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | (1073) ~ (all_10_9 = e4) % 26.15/4.59 | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | REDUCE: (292), (1073) imply: % 26.15/4.59 | | | | | | | | | | | | | (1074) ~ (all_4_19 = e4) % 26.15/4.59 | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | BETA: splitting (231) gives: % 26.15/4.59 | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | (1075) all_12_0 = e4 % 26.15/4.59 | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | REF_CLOSE: (331), (951), (1075) are inconsistent by sub-proof % 26.15/4.59 | | | | | | | | | | | | | | #3. % 26.15/4.59 | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | (1076) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 | % 26.15/4.59 | | | | | | | | | | | | | | all_12_16 = e4 % 26.15/4.59 | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | BETA: splitting (229) gives: % 26.15/4.59 | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | (1077) all_12_2 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1077) imply: % 26.15/4.59 | | | | | | | | | | | | | | | (1078) all_4_1 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | SIMP: (1078) implies: % 26.15/4.59 | | | | | | | | | | | | | | | (1079) all_4_1 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | REDUCE: (489), (1079) imply: % 26.15/4.59 | | | | | | | | | | | | | | | (1080) ~ (all_4_4 = e4) % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | SIMP: (1080) implies: % 26.15/4.59 | | | | | | | | | | | | | | | (1081) ~ (all_4_4 = e4) % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 26.15/4.59 | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | Case 1: % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | (1082) all_12_6 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (1082) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | (1083) all_4_4 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | SIMP: (1083) implies: % 26.15/4.59 | | | | | | | | | | | | | | | | (1084) all_4_4 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | REDUCE: (1081), (1084) imply: % 26.15/4.59 | | | | | | | | | | | | | | | | (1085) $false % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | CLOSE: (1085) is inconsistent. % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | Case 2: % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.59 | | | | | | | | | | | | | | | | (1086) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 | % 26.15/4.59 | | | | | | | | | | | | | | | | all_12_18 = e4 % 26.15/4.59 | | | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | | | REF_CLOSE: (283), (476), (477), (478), (480), (482), (502), % 26.15/4.60 | | | | | | | | | | | | | | | | (558), (569), (914), (926), (927), (929), (932), % 26.15/4.60 | | | | | | | | | | | | | | | | (933), (1076), (1086) are inconsistent by % 26.15/4.60 | | | | | | | | | | | | | | | | sub-proof #1. % 26.15/4.60 | | | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | Case 2: % 26.15/4.60 | | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | | (1087) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 | % 26.15/4.60 | | | | | | | | | | | | | | | all_12_17 = e4 % 26.15/4.60 | | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | | REF_CLOSE: (298), (474), (479), (555), (568), (928), (933), % 26.15/4.60 | | | | | | | | | | | | | | | (1074), (1087) are inconsistent by sub-proof #11. % 26.15/4.60 | | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | Case 2: % 26.15/4.60 | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | (1088) all_10_19 = e3 | all_10_19 = e2 | all_10_19 = e0 % 26.15/4.60 | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | BETA: splitting (1088) gives: % 26.15/4.60 | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | Case 1: % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | (1089) all_10_19 = e0 % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | COMBINE_EQS: (255), (1089) imply: % 26.15/4.60 | | | | | | | | | | | | | (1090) all_4_23 = e0 % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | SIMP: (1090) implies: % 26.15/4.60 | | | | | | | | | | | | | (1091) all_4_23 = e0 % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | REDUCE: (935), (1091) imply: % 26.15/4.60 | | | | | | | | | | | | | (1092) $false % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | CLOSE: (1092) is inconsistent. % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | Case 2: % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | (1093) all_10_19 = e3 | all_10_19 = e2 % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | BETA: splitting (1093) gives: % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | Case 1: % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | (1094) all_10_19 = e3 % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | COMBINE_EQS: (255), (1094) imply: % 26.15/4.60 | | | | | | | | | | | | | | (1095) all_4_23 = e3 % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | SIMP: (1095) implies: % 26.15/4.60 | | | | | | | | | | | | | | (1096) all_4_23 = e3 % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | REDUCE: (548), (1096) imply: % 26.15/4.60 | | | | | | | | | | | | | | (1097) $false % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | CLOSE: (1097) is inconsistent. % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | Case 2: % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | (1098) all_10_19 = e2 % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | COMBINE_EQS: (255), (1098) imply: % 26.15/4.60 | | | | | | | | | | | | | | (1099) all_4_23 = e2 % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | SIMP: (1099) implies: % 26.15/4.60 | | | | | | | | | | | | | | (1100) all_4_23 = e2 % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | REDUCE: (920), (1100) imply: % 26.15/4.60 | | | | | | | | | | | | | | (1101) $false % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | | CLOSE: (1101) is inconsistent. % 26.15/4.60 | | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | | % 26.15/4.60 | | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | | % 26.15/4.60 | | | | | | | | | End of split % 26.15/4.60 | | | | | | | | | % 26.15/4.60 | | | | | | | | End of split % 26.15/4.60 | | | | | | | | % 26.15/4.60 | | | | | | | End of split % 26.15/4.60 | | | | | | | % 26.15/4.60 | | | | | | End of split % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | End of split % 26.15/4.60 | | | | | % 26.15/4.60 | | | | Case 2: % 26.15/4.60 | | | | | % 26.15/4.60 | | | | | (1102) all_10_20 = e3 | all_10_20 = e2 % 26.15/4.60 | | | | | % 26.15/4.60 | | | | | BETA: splitting (1102) gives: % 26.15/4.60 | | | | | % 26.15/4.60 | | | | | Case 1: % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | (1103) all_10_20 = e3 % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | COMBINE_EQS: (375), (1103) imply: % 26.15/4.60 | | | | | | (1104) all_4_16 = e3 % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | SIMP: (1104) implies: % 26.15/4.60 | | | | | | (1105) all_4_16 = e3 % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | REDUCE: (500), (1105) imply: % 26.15/4.60 | | | | | | (1106) $false % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | CLOSE: (1106) is inconsistent. % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | Case 2: % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | (1107) all_10_20 = e2 % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | COMBINE_EQS: (375), (1107) imply: % 26.15/4.60 | | | | | | (1108) all_4_16 = e2 % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | SIMP: (1108) implies: % 26.15/4.60 | | | | | | (1109) all_4_16 = e2 % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | REDUCE: (499), (1109) imply: % 26.15/4.60 | | | | | | (1110) $false % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | | CLOSE: (1110) is inconsistent. % 26.15/4.60 | | | | | | % 26.15/4.60 | | | | | End of split % 26.15/4.60 | | | | | % 26.15/4.60 | | | | End of split % 26.15/4.60 | | | | % 26.15/4.60 | | | End of split % 26.15/4.60 | | | % 26.15/4.60 | | End of split % 26.15/4.60 | | % 26.15/4.60 | End of split % 26.15/4.60 | % 26.15/4.60 End of proof % 26.15/4.60 % 26.15/4.60 Sub-proof #1 shows that the following formulas are inconsistent: % 26.15/4.60 ---------------------------------------------------------------- % 26.15/4.60 (1) all_12_1 = all_4_2 % 26.15/4.60 (2) ~ (all_4_14 = e4) % 26.15/4.60 (3) ~ (e4 = e0) % 26.15/4.60 (4) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4 % 26.15/4.60 (5) ~ (all_4_8 = e4) % 26.15/4.60 (6) ~ (all_4_5 = e4) % 26.15/4.60 (7) ~ (all_4_2 = all_4_6) % 26.15/4.60 (8) ~ (all_4_6 = e0) % 26.15/4.60 (9) all_12_9 = e0 % 26.15/4.60 (10) all_12_16 = e2 % 26.15/4.60 (11) ~ (e4 = e2) % 26.15/4.60 (12) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4 % 26.15/4.60 (13) all_12_4 = all_4_5 % 26.15/4.60 (14) all_12_11 = all_4_14 % 26.15/4.60 (15) all_12_18 = e0 % 26.15/4.60 (16) all_12_8 = all_4_8 % 26.15/4.60 (17) all_12_7 = all_4_6 % 26.15/4.60 % 26.15/4.60 Begin of proof % 26.15/4.60 | % 26.15/4.60 | BETA: splitting (12) gives: % 26.15/4.60 | % 26.15/4.60 | Case 1: % 26.15/4.60 | | % 26.15/4.60 | | (18) all_12_7 = e4 % 26.15/4.60 | | % 26.15/4.60 | | COMBINE_EQS: (17), (18) imply: % 26.15/4.60 | | (19) all_4_6 = e4 % 26.15/4.60 | | % 26.15/4.60 | | REDUCE: (7), (19) imply: % 26.15/4.60 | | (20) ~ (all_4_2 = e4) % 26.15/4.60 | | % 26.15/4.60 | | BETA: splitting (4) gives: % 26.15/4.60 | | % 26.15/4.60 | | Case 1: % 26.15/4.60 | | | % 26.15/4.60 | | | (21) all_12_1 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | COMBINE_EQS: (1), (21) imply: % 26.15/4.60 | | | (22) all_4_2 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | REDUCE: (20), (22) imply: % 26.15/4.60 | | | (23) $false % 26.15/4.60 | | | % 26.15/4.60 | | | CLOSE: (23) is inconsistent. % 26.15/4.60 | | | % 26.15/4.60 | | Case 2: % 26.15/4.60 | | | % 26.15/4.60 | | | (24) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | REF_CLOSE: (3), (6), (9), (10), (11), (13), (24) are inconsistent by % 26.15/4.60 | | | sub-proof #2. % 26.15/4.60 | | | % 26.15/4.60 | | End of split % 26.15/4.60 | | % 26.15/4.60 | Case 2: % 26.15/4.60 | | % 26.15/4.60 | | (25) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4 % 26.15/4.60 | | % 26.15/4.60 | | BETA: splitting (25) gives: % 26.15/4.60 | | % 26.15/4.60 | | Case 1: % 26.15/4.60 | | | % 26.15/4.60 | | | (26) all_12_8 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | COMBINE_EQS: (16), (26) imply: % 26.15/4.60 | | | (27) all_4_8 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | REDUCE: (5), (27) imply: % 26.15/4.60 | | | (28) $false % 26.15/4.60 | | | % 26.15/4.60 | | | CLOSE: (28) is inconsistent. % 26.15/4.60 | | | % 26.15/4.60 | | Case 2: % 26.15/4.60 | | | % 26.15/4.60 | | | (29) all_12_11 = e4 | all_12_18 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | BETA: splitting (29) gives: % 26.15/4.60 | | | % 26.15/4.60 | | | Case 1: % 26.15/4.60 | | | | % 26.15/4.60 | | | | (30) all_12_11 = e4 % 26.15/4.60 | | | | % 26.15/4.60 | | | | REF_CLOSE: (2), (14), (30) are inconsistent by sub-proof #5. % 26.15/4.60 | | | | % 26.15/4.60 | | | Case 2: % 26.15/4.60 | | | | % 26.15/4.60 | | | | (31) all_12_18 = e4 % 26.15/4.60 | | | | % 26.15/4.60 | | | | COMBINE_EQS: (15), (31) imply: % 26.15/4.60 | | | | (32) e4 = e0 % 26.15/4.60 | | | | % 26.15/4.60 | | | | SIMP: (32) implies: % 26.15/4.60 | | | | (33) e4 = e0 % 26.15/4.60 | | | | % 26.15/4.60 | | | | REDUCE: (3), (33) imply: % 26.15/4.60 | | | | (34) $false % 26.15/4.60 | | | | % 26.15/4.60 | | | | CLOSE: (34) is inconsistent. % 26.15/4.60 | | | | % 26.15/4.60 | | | End of split % 26.15/4.60 | | | % 26.15/4.60 | | End of split % 26.15/4.60 | | % 26.15/4.60 | End of split % 26.15/4.60 | % 26.15/4.60 End of proof % 26.15/4.60 % 26.15/4.60 Sub-proof #2 shows that the following formulas are inconsistent: % 26.15/4.60 ---------------------------------------------------------------- % 26.15/4.60 (1) ~ (e4 = e0) % 26.15/4.60 (2) ~ (all_4_5 = e4) % 26.15/4.60 (3) all_12_9 = e0 % 26.15/4.60 (4) all_12_16 = e2 % 26.15/4.60 (5) ~ (e4 = e2) % 26.15/4.60 (6) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4 % 26.15/4.60 (7) all_12_4 = all_4_5 % 26.15/4.60 % 26.15/4.60 Begin of proof % 26.15/4.60 | % 26.15/4.60 | BETA: splitting (6) gives: % 26.15/4.60 | % 26.15/4.60 | Case 1: % 26.15/4.60 | | % 26.15/4.60 | | (8) all_12_4 = e4 % 26.15/4.60 | | % 26.15/4.60 | | REF_CLOSE: (2), (7), (8) are inconsistent by sub-proof #14. % 26.15/4.60 | | % 26.15/4.60 | Case 2: % 26.15/4.60 | | % 26.15/4.60 | | (9) all_12_9 = e4 | all_12_16 = e4 % 26.15/4.60 | | % 26.15/4.60 | | BETA: splitting (9) gives: % 26.15/4.60 | | % 26.15/4.60 | | Case 1: % 26.15/4.60 | | | % 26.15/4.60 | | | (10) all_12_9 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | COMBINE_EQS: (3), (10) imply: % 26.15/4.60 | | | (11) e4 = e0 % 26.15/4.60 | | | % 26.15/4.60 | | | REDUCE: (1), (11) imply: % 26.15/4.60 | | | (12) $false % 26.15/4.60 | | | % 26.15/4.60 | | | CLOSE: (12) is inconsistent. % 26.15/4.60 | | | % 26.15/4.60 | | Case 2: % 26.15/4.60 | | | % 26.15/4.60 | | | (13) all_12_16 = e4 % 26.15/4.60 | | | % 26.15/4.60 | | | COMBINE_EQS: (4), (13) imply: % 26.15/4.60 | | | (14) e4 = e2 % 26.15/4.60 | | | % 26.15/4.60 | | | SIMP: (14) implies: % 26.15/4.60 | | | (15) e4 = e2 % 26.15/4.60 | | | % 26.15/4.60 | | | REDUCE: (5), (15) imply: % 26.15/4.60 | | | (16) $false % 26.15/4.60 | | | % 26.15/4.60 | | | CLOSE: (16) is inconsistent. % 26.15/4.60 | | | % 26.15/4.60 | | End of split % 26.15/4.60 | | % 26.15/4.60 | End of split % 26.15/4.60 | % 26.15/4.60 End of proof % 26.15/4.60 % 26.15/4.60 Sub-proof #3 shows that the following formulas are inconsistent: % 26.15/4.60 ---------------------------------------------------------------- % 26.15/4.60 (1) all_12_0 = e4 % 26.15/4.60 (2) all_12_0 = e1 % 26.15/4.60 (3) ~ (e4 = e1) % 26.15/4.60 % 26.15/4.60 Begin of proof % 26.15/4.60 | % 26.15/4.60 | COMBINE_EQS: (1), (2) imply: % 26.15/4.60 | (4) e4 = e1 % 26.15/4.60 | % 26.15/4.60 | SIMP: (4) implies: % 26.15/4.60 | (5) e4 = e1 % 26.15/4.60 | % 26.15/4.60 | REDUCE: (3), (5) imply: % 26.15/4.60 | (6) $false % 26.15/4.60 | % 26.15/4.60 | CLOSE: (6) is inconsistent. % 26.15/4.60 | % 26.15/4.60 End of proof % 26.15/4.60 % 26.15/4.60 Sub-proof #4 shows that the following formulas are inconsistent: % 26.15/4.60 ---------------------------------------------------------------- % 26.15/4.60 (1) ~ (all_4_18 = e0) % 26.15/4.60 (2) all_10_21 = e3 | all_10_21 = e2 | all_10_21 = e0 % 26.15/4.60 (3) ~ (all_4_18 = e2) % 26.15/4.60 (4) all_10_21 = all_4_18 % 26.15/4.60 (5) ~ (all_4_18 = e3) % 26.15/4.60 % 26.15/4.60 Begin of proof % 26.15/4.60 | % 26.15/4.60 | BETA: splitting (2) gives: % 26.15/4.60 | % 26.15/4.60 | Case 1: % 26.15/4.60 | | % 26.15/4.60 | | (6) all_10_21 = e0 % 26.15/4.60 | | % 26.15/4.60 | | COMBINE_EQS: (4), (6) imply: % 26.15/4.60 | | (7) all_4_18 = e0 % 26.15/4.60 | | % 26.15/4.60 | | SIMP: (7) implies: % 26.15/4.60 | | (8) all_4_18 = e0 % 26.15/4.60 | | % 26.15/4.60 | | REDUCE: (1), (8) imply: % 26.15/4.60 | | (9) $false % 26.15/4.60 | | % 26.15/4.60 | | CLOSE: (9) is inconsistent. % 26.15/4.60 | | % 26.15/4.60 | Case 2: % 26.15/4.60 | | % 26.15/4.60 | | (10) all_10_21 = e3 | all_10_21 = e2 % 26.15/4.60 | | % 26.15/4.60 | | BETA: splitting (10) gives: % 26.15/4.60 | | % 26.15/4.60 | | Case 1: % 26.15/4.60 | | | % 26.15/4.60 | | | (11) all_10_21 = e3 % 26.15/4.60 | | | % 26.15/4.60 | | | COMBINE_EQS: (4), (11) imply: % 26.15/4.60 | | | (12) all_4_18 = e3 % 26.15/4.60 | | | % 26.15/4.60 | | | SIMP: (12) implies: % 26.15/4.60 | | | (13) all_4_18 = e3 % 26.15/4.60 | | | % 26.15/4.60 | | | REDUCE: (5), (13) imply: % 26.15/4.60 | | | (14) $false % 26.15/4.60 | | | % 26.15/4.60 | | | CLOSE: (14) is inconsistent. % 26.15/4.60 | | | % 26.15/4.60 | | Case 2: % 26.15/4.60 | | | % 26.15/4.60 | | | (15) all_10_21 = e2 % 26.15/4.60 | | | % 26.15/4.60 | | | COMBINE_EQS: (4), (15) imply: % 26.15/4.60 | | | (16) all_4_18 = e2 % 26.15/4.60 | | | % 26.15/4.60 | | | SIMP: (16) implies: % 26.15/4.60 | | | (17) all_4_18 = e2 % 26.15/4.60 | | | % 26.15/4.60 | | | REDUCE: (3), (17) imply: % 26.15/4.60 | | | (18) $false % 26.15/4.60 | | | % 26.15/4.61 | | | CLOSE: (18) is inconsistent. % 26.15/4.61 | | | % 26.15/4.61 | | End of split % 26.15/4.61 | | % 26.15/4.61 | End of split % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #5 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_12_11 = all_4_14 % 26.15/4.61 (2) all_12_11 = e4 % 26.15/4.61 (3) ~ (all_4_14 = e4) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_14 = e4 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_14 = e4 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #6 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_10_8 = e3 | all_10_8 = e2 | all_10_8 = e1 | all_10_8 = e0 % 26.15/4.61 (2) ~ (all_4_12 = e0) % 26.15/4.61 (3) ~ (all_4_12 = e2) % 26.15/4.61 (4) all_10_8 = all_4_12 % 26.15/4.61 (5) ~ (all_4_12 = e1) % 26.15/4.61 (6) ~ (all_4_12 = e3) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | BETA: splitting (1) gives: % 26.15/4.61 | % 26.15/4.61 | Case 1: % 26.15/4.61 | | % 26.15/4.61 | | (7) all_10_8 = e1 % 26.15/4.61 | | % 26.15/4.61 | | COMBINE_EQS: (4), (7) imply: % 26.15/4.61 | | (8) all_4_12 = e1 % 26.15/4.61 | | % 26.15/4.61 | | SIMP: (8) implies: % 26.15/4.61 | | (9) all_4_12 = e1 % 26.15/4.61 | | % 26.15/4.61 | | REDUCE: (5), (9) imply: % 26.15/4.61 | | (10) $false % 26.15/4.61 | | % 26.15/4.61 | | CLOSE: (10) is inconsistent. % 26.15/4.61 | | % 26.15/4.61 | Case 2: % 26.15/4.61 | | % 26.15/4.61 | | (11) all_10_8 = e3 | all_10_8 = e2 | all_10_8 = e0 % 26.15/4.61 | | % 26.15/4.61 | | BETA: splitting (11) gives: % 26.15/4.61 | | % 26.15/4.61 | | Case 1: % 26.15/4.61 | | | % 26.15/4.61 | | | (12) all_10_8 = e0 % 26.15/4.61 | | | % 26.15/4.61 | | | COMBINE_EQS: (4), (12) imply: % 26.15/4.61 | | | (13) all_4_12 = e0 % 26.15/4.61 | | | % 26.15/4.61 | | | SIMP: (13) implies: % 26.15/4.61 | | | (14) all_4_12 = e0 % 26.15/4.61 | | | % 26.15/4.61 | | | REDUCE: (2), (14) imply: % 26.15/4.61 | | | (15) $false % 26.15/4.61 | | | % 26.15/4.61 | | | CLOSE: (15) is inconsistent. % 26.15/4.61 | | | % 26.15/4.61 | | Case 2: % 26.15/4.61 | | | % 26.15/4.61 | | | (16) all_10_8 = e3 | all_10_8 = e2 % 26.15/4.61 | | | % 26.15/4.61 | | | BETA: splitting (16) gives: % 26.15/4.61 | | | % 26.15/4.61 | | | Case 1: % 26.15/4.61 | | | | % 26.15/4.61 | | | | (17) all_10_8 = e3 % 26.15/4.61 | | | | % 26.15/4.61 | | | | COMBINE_EQS: (4), (17) imply: % 26.15/4.61 | | | | (18) all_4_12 = e3 % 26.15/4.61 | | | | % 26.15/4.61 | | | | SIMP: (18) implies: % 26.15/4.61 | | | | (19) all_4_12 = e3 % 26.15/4.61 | | | | % 26.15/4.61 | | | | REDUCE: (6), (19) imply: % 26.15/4.61 | | | | (20) $false % 26.15/4.61 | | | | % 26.15/4.61 | | | | CLOSE: (20) is inconsistent. % 26.15/4.61 | | | | % 26.15/4.61 | | | Case 2: % 26.15/4.61 | | | | % 26.15/4.61 | | | | (21) all_10_8 = e2 % 26.15/4.61 | | | | % 26.15/4.61 | | | | COMBINE_EQS: (4), (21) imply: % 26.15/4.61 | | | | (22) all_4_12 = e2 % 26.15/4.61 | | | | % 26.15/4.61 | | | | SIMP: (22) implies: % 26.15/4.61 | | | | (23) all_4_12 = e2 % 26.15/4.61 | | | | % 26.15/4.61 | | | | REDUCE: (3), (23) imply: % 26.15/4.61 | | | | (24) $false % 26.15/4.61 | | | | % 26.15/4.61 | | | | CLOSE: (24) is inconsistent. % 26.15/4.61 | | | | % 26.15/4.61 | | | End of split % 26.15/4.61 | | | % 26.15/4.61 | | End of split % 26.15/4.61 | | % 26.15/4.61 | End of split % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #7 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_10_8 = all_4_12 % 26.15/4.61 (2) all_10_8 = e4 % 26.15/4.61 (3) ~ (all_4_12 = e4) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_12 = e4 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_12 = e4 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #8 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_10_4 = all_4_17 % 26.15/4.61 (2) all_10_4 = e3 % 26.15/4.61 (3) ~ (all_4_17 = e3) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_17 = e3 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_17 = e3 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #9 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_10_4 = all_4_17 % 26.15/4.61 (2) all_10_4 = e0 % 26.15/4.61 (3) ~ (all_4_17 = e0) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_17 = e0 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_17 = e0 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #10 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_10_4 = all_4_17 % 26.15/4.61 (2) all_10_4 = e1 % 26.15/4.61 (3) ~ (all_4_17 = e1) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_17 = e1 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_17 = e1 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #11 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) ~ (e4 = e0) % 26.15/4.61 (2) ~ (all_4_7 = e4) % 26.15/4.61 (3) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4 % 26.15/4.61 (4) all_12_17 = all_4_19 % 26.15/4.61 (5) all_12_3 = e0 % 26.15/4.61 (6) all_12_5 = all_4_7 % 26.15/4.61 (7) ~ (all_4_12 = e4) % 26.15/4.61 (8) ~ (all_4_19 = e4) % 26.15/4.61 (9) all_12_10 = all_4_12 % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | BETA: splitting (3) gives: % 26.15/4.61 | % 26.15/4.61 | Case 1: % 26.15/4.61 | | % 26.15/4.61 | | (10) all_12_3 = e4 % 26.15/4.61 | | % 26.15/4.61 | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #15. % 26.15/4.61 | | % 26.15/4.61 | Case 2: % 26.15/4.61 | | % 26.15/4.61 | | (11) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4 % 26.15/4.61 | | % 26.15/4.61 | | BETA: splitting (11) gives: % 26.15/4.61 | | % 26.15/4.61 | | Case 1: % 26.15/4.61 | | | % 26.15/4.61 | | | (12) all_12_5 = e4 % 26.15/4.61 | | | % 26.15/4.61 | | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #13. % 26.15/4.61 | | | % 26.15/4.61 | | Case 2: % 26.15/4.61 | | | % 26.15/4.61 | | | (13) all_12_10 = e4 | all_12_17 = e4 % 26.15/4.61 | | | % 26.15/4.61 | | | BETA: splitting (13) gives: % 26.15/4.61 | | | % 26.15/4.61 | | | Case 1: % 26.15/4.61 | | | | % 26.15/4.61 | | | | (14) all_12_10 = e4 % 26.15/4.61 | | | | % 26.15/4.61 | | | | REF_CLOSE: (7), (9), (14) are inconsistent by sub-proof #12. % 26.15/4.61 | | | | % 26.15/4.61 | | | Case 2: % 26.15/4.61 | | | | % 26.15/4.61 | | | | (15) all_12_17 = e4 % 26.15/4.61 | | | | % 26.15/4.61 | | | | COMBINE_EQS: (4), (15) imply: % 26.15/4.61 | | | | (16) all_4_19 = e4 % 26.15/4.61 | | | | % 26.15/4.61 | | | | REDUCE: (8), (16) imply: % 26.15/4.61 | | | | (17) $false % 26.15/4.61 | | | | % 26.15/4.61 | | | | CLOSE: (17) is inconsistent. % 26.15/4.61 | | | | % 26.15/4.61 | | | End of split % 26.15/4.61 | | | % 26.15/4.61 | | End of split % 26.15/4.61 | | % 26.15/4.61 | End of split % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #12 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_12_10 = all_4_12 % 26.15/4.61 (2) all_12_10 = e4 % 26.15/4.61 (3) ~ (all_4_12 = e4) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_12 = e4 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_12 = e4 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #13 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_12_5 = all_4_7 % 26.15/4.61 (2) all_12_5 = e4 % 26.15/4.61 (3) ~ (all_4_7 = e4) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_7 = e4 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_7 = e4 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #14 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_12_4 = all_4_5 % 26.15/4.61 (2) all_12_4 = e4 % 26.15/4.61 (3) ~ (all_4_5 = e4) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_5 = e4 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_5 = e4 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #15 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_12_3 = e4 % 26.15/4.61 (2) all_12_3 = e0 % 26.15/4.61 (3) ~ (e4 = e0) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) e4 = e0 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) e4 = e0 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #16 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_12_2 = all_4_1 % 26.15/4.61 (2) all_12_2 = e4 % 26.15/4.61 (3) ~ (all_4_1 = e4) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_1 = e4 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_1 = e4 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % 26.15/4.61 Sub-proof #17 shows that the following formulas are inconsistent: % 26.15/4.61 ---------------------------------------------------------------- % 26.15/4.61 (1) all_10_21 = all_4_18 % 26.15/4.61 (2) all_10_21 = e4 % 26.15/4.61 (3) ~ (all_4_18 = e4) % 26.15/4.61 % 26.15/4.61 Begin of proof % 26.15/4.61 | % 26.15/4.61 | COMBINE_EQS: (1), (2) imply: % 26.15/4.61 | (4) all_4_18 = e4 % 26.15/4.61 | % 26.15/4.61 | SIMP: (4) implies: % 26.15/4.61 | (5) all_4_18 = e4 % 26.15/4.61 | % 26.15/4.61 | REDUCE: (3), (5) imply: % 26.15/4.61 | (6) $false % 26.15/4.61 | % 26.15/4.61 | CLOSE: (6) is inconsistent. % 26.15/4.61 | % 26.15/4.61 End of proof % 26.15/4.61 % SZS output end Proof for theBenchmark % 26.15/4.61 % 26.15/4.61 4001ms %------------------------------------------------------------------------------