%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG122+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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:36:28 EDT 2023 % Result : Theorem 21.32s 3.69s % Output : Proof 64.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG122+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n029.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Aug 28 06:00:56 EDT 2023 % 0.14/0.34 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 7.00/1.72 Prover 4: Preprocessing ... % 7.00/1.72 Prover 1: Preprocessing ... % 7.44/1.76 Prover 5: Preprocessing ... % 7.44/1.76 Prover 6: Preprocessing ... % 7.44/1.76 Prover 2: Preprocessing ... % 7.44/1.76 Prover 0: Preprocessing ... % 7.56/1.79 Prover 3: Preprocessing ... % 12.18/2.40 Prover 4: Constructing countermodel ... % 12.35/2.40 Prover 3: Constructing countermodel ... % 12.46/2.42 Prover 1: Constructing countermodel ... % 12.46/2.42 Prover 2: Constructing countermodel ... % 13.18/2.53 Prover 6: Constructing countermodel ... % 13.18/2.54 Prover 0: Constructing countermodel ... % 18.06/3.18 Prover 5: Constructing countermodel ... % 21.32/3.69 Prover 3: proved (3048ms) % 21.32/3.69 % 21.32/3.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 21.32/3.69 % 21.32/3.70 Prover 5: stopped % 21.32/3.70 Prover 0: stopped % 21.32/3.70 Prover 6: stopped % 21.32/3.71 Prover 2: stopped % 21.32/3.72 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 21.32/3.72 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.32/3.72 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 21.32/3.72 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 21.85/3.74 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 25.06/4.16 Prover 10: Preprocessing ... % 25.06/4.18 Prover 7: Preprocessing ... % 25.06/4.18 Prover 11: Preprocessing ... % 25.06/4.26 Prover 8: Preprocessing ... % 25.06/4.27 Prover 13: Preprocessing ... % 27.06/4.44 Prover 8: Constructing countermodel ... % 27.28/4.51 Prover 11: Constructing countermodel ... % 27.28/4.51 Prover 7: Constructing countermodel ... % 27.28/4.52 Prover 13: Constructing countermodel ... % 28.10/4.56 Prover 10: Constructing countermodel ... % 56.51/8.51 Prover 1: Found proof (size 6038) % 56.51/8.52 Prover 1: proved (7875ms) % 56.51/8.52 Prover 11: stopped % 56.51/8.52 Prover 10: stopped % 56.51/8.52 Prover 13: stopped % 56.51/8.52 Prover 7: stopped % 56.51/8.53 Prover 8: stopped % 56.51/8.53 Prover 4: stopped % 56.51/8.53 % 56.51/8.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 56.51/8.53 % 60.16/9.23 % SZS output start Proof for theBenchmark % 60.79/9.25 Assumptions after simplification: % 60.79/9.25 --------------------------------- % 60.79/9.25 % 60.79/9.25 (ax1) % 60.79/9.30 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 60.79/9.30 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 60.79/9.30 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 60.79/9.30 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 60.79/9.30 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & % 60.79/9.30 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 60.79/9.30 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & % 60.79/9.30 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 60.79/9.30 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 60.79/9.30 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 60.79/9.30 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14 % 60.79/9.30 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13 % 60.79/9.30 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | % 60.79/9.30 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | % 60.79/9.30 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 % 60.79/9.30 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 60.79/9.30 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 = % 60.79/9.30 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 % 60.79/9.30 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 = % 60.79/9.30 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 % 60.79/9.30 | v0 = e11 | v0 = e10)) % 60.79/9.30 % 60.79/9.30 (ax10) % 60.79/9.32 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 60.79/9.32 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 60.79/9.32 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 60.79/9.32 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 60.79/9.32 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 60.79/9.32 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 60.79/9.32 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, e13) = v31 % 60.79/9.32 & op1(v28, e12) = v29 & op1(v26, e11) = v27 & op1(v24, e10) = v25 & op1(v22, % 60.79/9.32 e13) = v23 & op1(v20, e12) = v21 & op1(v18, e11) = v19 & op1(v16, e10) = % 60.79/9.32 v17 & op1(v14, e13) = v15 & op1(v12, e12) = v13 & op1(v10, e11) = v11 & % 60.79/9.32 op1(v8, e10) = v9 & op1(v6, e13) = v7 & op1(v4, e12) = v5 & op1(v2, e11) = % 60.79/9.32 v3 & op1(v0, e10) = v1 & op1(e13, e13) = v30 & op1(e13, e12) = v22 & % 60.79/9.32 op1(e13, e11) = v14 & op1(e13, e10) = v6 & op1(e12, e13) = v28 & op1(e12, % 60.79/9.32 e12) = v20 & op1(e12, e11) = v12 & op1(e12, e10) = v4 & op1(e11, e13) = % 60.79/9.32 v26 & op1(e11, e12) = v18 & op1(e11, e11) = v10 & op1(e11, e10) = v2 & % 60.79/9.32 op1(e10, e13) = v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 & op1(e10, % 60.79/9.33 e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & % 60.79/9.33 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & % 60.79/9.33 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 60.79/9.33 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 60.79/9.33 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 = v30 | v29 = v28 | v27 = v26 | v25 % 60.79/9.33 = v24) & (v23 = v22 | v21 = v20 | v19 = v18 | v17 = v16) & (v15 = v14 | % 60.79/9.33 v13 = v12 | v11 = v10 | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0) % 60.79/9.33 & ((v28 = e12 & ~ (v30 = e13) & ~ (v22 = e12) & ~ (v20 = e13) & ~ (v14 = % 60.79/9.33 e11) & ~ (v6 = e10)) | (v26 = e11 & ~ (v30 = e13) & ~ (v22 = e12) & % 60.79/9.33 ~ (v14 = e11) & ~ (v10 = e13) & ~ (v6 = e10)) | (v24 = e10 & ~ (v30 % 60.79/9.33 = e13) & ~ (v22 = e12) & ~ (v14 = e11) & ~ (v6 = e10) & ~ (v0 = % 60.79/9.33 e13)) | (v22 = e13 & ~ (v30 = e12) & ~ (v28 = e13) & ~ (v20 = e12) % 60.79/9.33 & ~ (v12 = e11) & ~ (v4 = e10)) | (v18 = e11 & ~ (v28 = e13) & ~ % 60.79/9.33 (v20 = e12) & ~ (v12 = e11) & ~ (v10 = e12) & ~ (v4 = e10)) | (v16 = % 60.79/9.33 e10 & ~ (v28 = e13) & ~ (v20 = e12) & ~ (v12 = e11) & ~ (v4 = e10) & % 60.79/9.33 ~ (v0 = e12)) | (v14 = e13 & ~ (v30 = e11) & ~ (v26 = e13) & ~ (v18 % 60.79/9.33 = e12) & ~ (v10 = e11) & ~ (v2 = e10)) | (v12 = e12 & ~ (v26 = e13) % 60.79/9.33 & ~ (v20 = e11) & ~ (v18 = e12) & ~ (v10 = e11) & ~ (v2 = e10)) | % 60.79/9.33 (v8 = e10 & ~ (v26 = e13) & ~ (v18 = e12) & ~ (v10 = e11) & ~ (v2 = % 60.79/9.33 e10) & ~ (v0 = e11)) | (v6 = e13 & ~ (v30 = e10) & ~ (v24 = e13) & % 60.79/9.33 ~ (v16 = e12) & ~ (v8 = e11) & ~ (v0 = e10)) | (v4 = e12 & ~ (v24 = % 60.79/9.33 e13) & ~ (v20 = e10) & ~ (v16 = e12) & ~ (v8 = e11) & ~ (v0 = % 60.79/9.33 e10)) | (v2 = e11 & ~ (v24 = e13) & ~ (v16 = e12) & ~ (v10 = e10) & % 60.79/9.33 ~ (v8 = e11) & ~ (v0 = e10)))) % 60.79/9.33 % 60.79/9.33 (ax11) % 61.11/9.34 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 61.11/9.34 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 61.11/9.34 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 61.11/9.34 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 61.11/9.34 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 61.11/9.34 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 61.11/9.34 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, e23) = v31 % 61.11/9.34 & op2(v28, e22) = v29 & op2(v26, e21) = v27 & op2(v24, e20) = v25 & op2(v22, % 61.11/9.34 e23) = v23 & op2(v20, e22) = v21 & op2(v18, e21) = v19 & op2(v16, e20) = % 61.11/9.34 v17 & op2(v14, e23) = v15 & op2(v12, e22) = v13 & op2(v10, e21) = v11 & % 61.11/9.34 op2(v8, e20) = v9 & op2(v6, e23) = v7 & op2(v4, e22) = v5 & op2(v2, e21) = % 61.11/9.34 v3 & op2(v0, e20) = v1 & op2(e23, e23) = v30 & op2(e23, e22) = v22 & % 61.11/9.34 op2(e23, e21) = v14 & op2(e23, e20) = v6 & op2(e22, e23) = v28 & op2(e22, % 61.11/9.34 e22) = v20 & op2(e22, e21) = v12 & op2(e22, e20) = v4 & op2(e21, e23) = % 61.11/9.34 v26 & op2(e21, e22) = v18 & op2(e21, e21) = v10 & op2(e21, e20) = v2 & % 61.11/9.34 op2(e20, e23) = v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 & op2(e20, % 61.11/9.34 e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & % 61.11/9.34 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & % 61.11/9.34 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 61.11/9.34 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 61.11/9.34 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 = v30 | v29 = v28 | v27 = v26 | v25 % 61.11/9.34 = v24) & (v23 = v22 | v21 = v20 | v19 = v18 | v17 = v16) & (v15 = v14 | % 61.11/9.34 v13 = v12 | v11 = v10 | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0) % 61.11/9.34 & ((v28 = e22 & ~ (v30 = e23) & ~ (v22 = e22) & ~ (v20 = e23) & ~ (v14 = % 61.11/9.34 e21) & ~ (v6 = e20)) | (v26 = e21 & ~ (v30 = e23) & ~ (v22 = e22) & % 61.11/9.34 ~ (v14 = e21) & ~ (v10 = e23) & ~ (v6 = e20)) | (v24 = e20 & ~ (v30 % 61.11/9.34 = e23) & ~ (v22 = e22) & ~ (v14 = e21) & ~ (v6 = e20) & ~ (v0 = % 61.11/9.34 e23)) | (v22 = e23 & ~ (v30 = e22) & ~ (v28 = e23) & ~ (v20 = e22) % 61.11/9.34 & ~ (v12 = e21) & ~ (v4 = e20)) | (v18 = e21 & ~ (v28 = e23) & ~ % 61.11/9.34 (v20 = e22) & ~ (v12 = e21) & ~ (v10 = e22) & ~ (v4 = e20)) | (v16 = % 61.11/9.34 e20 & ~ (v28 = e23) & ~ (v20 = e22) & ~ (v12 = e21) & ~ (v4 = e20) & % 61.11/9.34 ~ (v0 = e22)) | (v14 = e23 & ~ (v30 = e21) & ~ (v26 = e23) & ~ (v18 % 61.11/9.34 = e22) & ~ (v10 = e21) & ~ (v2 = e20)) | (v12 = e22 & ~ (v26 = e23) % 61.11/9.34 & ~ (v20 = e21) & ~ (v18 = e22) & ~ (v10 = e21) & ~ (v2 = e20)) | % 61.11/9.34 (v8 = e20 & ~ (v26 = e23) & ~ (v18 = e22) & ~ (v10 = e21) & ~ (v2 = % 61.11/9.34 e20) & ~ (v0 = e21)) | (v6 = e23 & ~ (v30 = e20) & ~ (v24 = e23) & % 61.11/9.34 ~ (v16 = e22) & ~ (v8 = e21) & ~ (v0 = e20)) | (v4 = e22 & ~ (v24 = % 61.11/9.34 e23) & ~ (v20 = e20) & ~ (v16 = e22) & ~ (v8 = e21) & ~ (v0 = % 61.11/9.34 e20)) | (v2 = e21 & ~ (v24 = e23) & ~ (v16 = e22) & ~ (v10 = e20) & % 61.11/9.34 ~ (v8 = e21) & ~ (v0 = e20)))) % 61.11/9.34 % 61.11/9.34 (ax12) % 61.11/9.34 op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13, e11) = e12 & $i(e13) & % 61.11/9.34 $i(e12) & $i(e11) & $i(e10) % 61.11/9.34 % 61.11/9.34 (ax13) % 61.11/9.34 op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23, e21) = e22 & $i(e23) & % 61.11/9.34 $i(e22) & $i(e21) & $i(e20) % 61.11/9.34 % 61.11/9.34 (ax14) % 61.11/9.34 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 61.11/9.34 ? [v2: $i] : (h1(e13) = e20 & h1(e12) = v2 & h1(e11) = v1 & h1(e10) = v0 & % 61.11/9.34 op2(e20, v2) = v0 & op2(e20, v1) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) % 61.11/9.34 & $i(v0)) % 61.11/9.34 % 61.11/9.34 (ax15) % 61.11/9.34 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 61.11/9.34 ? [v2: $i] : (h2(e13) = e21 & h2(e12) = v2 & h2(e11) = v1 & h2(e10) = v0 & % 61.11/9.34 op2(e21, v2) = v0 & op2(e21, v1) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) % 61.11/9.34 & $i(v0)) % 61.11/9.34 % 61.11/9.34 (ax16) % 61.11/9.35 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 61.11/9.35 ? [v2: $i] : (h3(e13) = e22 & h3(e12) = v2 & h3(e11) = v1 & h3(e10) = v0 & % 61.11/9.35 op2(e22, v2) = v0 & op2(e22, v1) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) % 61.11/9.35 & $i(v0)) % 61.11/9.35 % 61.11/9.35 (ax17) % 61.11/9.35 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 61.11/9.35 ? [v2: $i] : (h4(e13) = e23 & h4(e12) = v2 & h4(e11) = v1 & h4(e10) = v0 & % 61.11/9.35 op2(e23, v2) = v0 & op2(e23, v1) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) % 61.11/9.35 & $i(v0)) % 61.11/9.35 % 61.11/9.35 (ax2) % 61.11/9.36 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 61.11/9.36 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 61.11/9.36 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 61.11/9.36 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 61.11/9.36 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & % 61.11/9.36 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 61.11/9.36 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 & % 61.11/9.36 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 61.11/9.36 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 61.11/9.36 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 61.11/9.36 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 = % 61.11/9.36 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 = % 61.11/9.36 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = % 61.11/9.36 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = % 61.11/9.36 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = % 61.11/9.36 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13) % 61.11/9.36 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 | % 61.11/9.36 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) & % 61.11/9.36 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 | % 61.11/9.36 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) & % 61.11/9.36 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 % 61.11/9.36 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = % 61.11/9.36 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 % 61.11/9.36 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 61.11/9.36 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11) % 61.11/9.36 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 = % 61.11/9.36 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11 % 61.11/9.36 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 = % 61.11/9.36 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 % 61.11/9.36 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & % 61.11/9.36 (v3 = e10 | v2 = e10 | v1 = e10)))) % 61.11/9.36 % 61.11/9.36 (ax3) % 61.11/9.37 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 61.11/9.37 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 61.11/9.37 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 61.11/9.37 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 61.11/9.37 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & % 61.11/9.37 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 61.11/9.37 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 & % 61.11/9.37 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 61.11/9.37 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 61.11/9.37 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 61.11/9.37 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14 % 61.11/9.37 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13 % 61.11/9.37 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | % 61.11/9.37 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | % 61.11/9.37 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 % 61.11/9.37 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 61.11/9.37 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 = % 61.11/9.37 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23 % 61.11/9.37 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 = % 61.11/9.37 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22 % 61.11/9.37 | v0 = e21 | v0 = e20)) % 61.11/9.37 % 61.11/9.37 (ax4) % 61.34/9.38 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 61.34/9.38 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 61.34/9.38 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 61.34/9.38 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 61.34/9.38 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & % 61.34/9.38 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 61.34/9.38 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 & % 61.34/9.38 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 61.34/9.38 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 61.34/9.38 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 61.34/9.38 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 = % 61.34/9.38 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 = % 61.34/9.38 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = % 61.34/9.38 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = % 61.34/9.38 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = % 61.34/9.38 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23) % 61.34/9.38 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 | % 61.34/9.38 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) & % 61.34/9.38 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 | % 61.34/9.38 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) & % 61.34/9.38 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 % 61.34/9.38 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = % 61.34/9.38 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 % 61.34/9.38 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 61.34/9.38 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21) % 61.34/9.38 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 = % 61.34/9.38 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21 % 61.34/9.38 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 = % 61.34/9.38 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21 % 61.34/9.38 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & % 61.34/9.38 (v3 = e20 | v2 = e20 | v1 = e20)))) % 61.34/9.38 % 61.34/9.38 (ax5) % 61.34/9.38 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 61.34/9.38 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 61.34/9.38 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 61.34/9.38 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 61.34/9.38 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 61.34/9.38 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 61.34/9.38 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 61.34/9.38 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 61.34/9.38 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 61.34/9.38 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 61.34/9.38 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 61.34/9.38 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 61.34/9.38 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 61.34/9.38 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, % 61.34/9.38 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 % 61.34/9.38 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11, % 61.34/9.38 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1 % 61.34/9.38 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10, % 61.34/9.38 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 61.34/9.39 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 61.34/9.39 $i(v1) & $i(v0)) % 61.34/9.39 % 61.34/9.39 (ax6) % 61.34/9.39 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 61.34/9.39 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 61.34/9.39 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 61.34/9.39 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 61.34/9.39 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 61.34/9.39 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 61.34/9.39 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 61.34/9.39 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 61.34/9.39 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 61.34/9.39 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 61.34/9.39 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 61.34/9.39 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 61.34/9.39 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 61.34/9.39 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, % 61.34/9.39 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 % 61.34/9.39 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21, % 61.34/9.39 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1 % 61.34/9.39 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20, % 61.34/9.39 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 61.34/9.39 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 61.34/9.39 $i(v1) & $i(v0)) % 61.34/9.39 % 61.34/9.39 (ax8) % 61.34/9.39 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 = % 61.34/9.39 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20) % 61.34/9.39 % 61.34/9.39 (co1) % 61.34/9.42 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) % 61.34/9.42 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 61.34/9.42 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 61.34/9.42 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: % 61.34/9.42 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: % 61.34/9.42 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: % 61.34/9.42 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: % 61.34/9.42 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: % 61.34/9.42 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: % 61.34/9.42 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: % 61.34/9.42 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: % 61.34/9.42 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: % 61.34/9.42 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: % 61.34/9.42 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: % 61.34/9.42 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 61.34/9.42 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75: % 61.34/9.42 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80: % 61.34/9.42 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85: % 61.34/9.42 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90: % 61.34/9.42 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95: % 61.34/9.42 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100: % 61.34/9.42 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ? % 61.34/9.42 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] : % 61.34/9.42 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : % 61.34/9.42 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] % 61.34/9.42 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 61.34/9.42 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ? % 61.34/9.42 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] : % 61.34/9.42 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] : % 61.34/9.42 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i] % 61.34/9.42 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148: % 61.34/9.42 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ? % 61.34/9.42 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : % 61.34/9.42 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = % 61.34/9.42 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 61.34/9.42 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16) % 61.34/9.42 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 & % 61.34/9.42 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49) % 61.34/9.42 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 & % 61.34/9.42 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22) % 61.34/9.42 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & % 61.34/9.42 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 % 61.34/9.42 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) = % 61.34/9.42 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 & % 61.34/9.42 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) = % 61.34/9.42 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) = % 61.34/9.42 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 & % 61.34/9.42 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = % 61.34/9.42 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & % 61.34/9.42 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & % 61.34/9.42 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, % 61.34/9.42 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 61.34/9.42 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131, % 61.34/9.42 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128, % 61.34/9.42 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125, % 61.34/9.42 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125, % 61.34/9.42 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92) % 61.34/9.42 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 % 61.34/9.42 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & % 61.34/9.42 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & % 61.34/9.42 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, % 61.34/9.42 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 61.34/9.42 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 & % 61.34/9.42 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56, % 61.34/9.42 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) = % 61.34/9.42 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 & % 61.34/9.42 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14, % 61.34/9.42 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33 % 61.34/9.42 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) % 61.34/9.42 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 61.34/9.42 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) = % 61.34/9.42 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 & % 61.34/9.42 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11, % 61.34/9.42 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) = % 61.34/9.42 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & % 61.34/9.42 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) & % 61.34/9.42 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & % 61.34/9.42 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 61.34/9.42 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) & % 61.34/9.42 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) & % 61.34/9.42 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) & % 61.34/9.42 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) & % 61.34/9.42 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & % 61.34/9.42 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 61.34/9.42 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & % 61.34/9.42 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) & % 61.34/9.42 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & % 61.34/9.42 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & % 61.34/9.42 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & % 61.34/9.42 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) & % 61.34/9.42 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) & % 61.34/9.42 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & % 61.34/9.42 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & % 61.34/9.42 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & % 61.34/9.42 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & % 61.34/9.42 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & % 61.34/9.42 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 61.34/9.42 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 = % 61.34/9.42 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~ % 61.34/9.42 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) | % 61.34/9.42 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) | % 61.34/9.42 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124) % 61.34/9.42 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) % 61.34/9.42 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) % 61.34/9.42 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21)) % 61.34/9.42 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20))) % 61.34/9.42 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116) % 61.34/9.42 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = % 61.34/9.42 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ % 61.34/9.42 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 % 61.34/9.42 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = % 61.34/9.42 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 61.34/9.42 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 = % 61.34/9.42 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 = % 61.34/9.42 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = % 61.34/9.42 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) % 61.34/9.42 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ % 61.34/9.42 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 % 61.34/9.42 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 % 61.34/9.42 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 % 61.34/9.42 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 % 61.34/9.42 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 61.34/9.42 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 = % 61.34/9.42 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26) % 61.34/9.42 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~ % 61.34/9.42 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 = % 61.34/9.42 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 = % 61.34/9.42 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 = % 61.34/9.42 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 = % 61.34/9.42 e20) & ~ (v6 = e20) & ~ (v2 = e20)))) % 61.34/9.42 % 61.34/9.42 (function-axioms) % 61.34/9.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 61.34/9.42 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 61.34/9.42 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 61.34/9.42 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = % 61.34/9.42 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 61.34/9.42 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 61.34/9.42 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : ! % 61.34/9.42 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) % 61.34/9.42 % 61.34/9.42 Further assumptions not needed in the proof: % 61.34/9.42 -------------------------------------------- % 61.34/9.42 ax7, ax9 % 61.34/9.42 % 61.34/9.42 Those formulas are unsatisfiable: % 61.34/9.42 --------------------------------- % 61.34/9.42 % 61.34/9.42 Begin of proof % 61.34/9.43 | % 61.34/9.43 | ALPHA: (ax1) implies: % 61.34/9.43 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.34/9.43 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 61.34/9.43 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 61.34/9.43 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 61.34/9.43 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12, % 61.34/9.43 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 61.34/9.43 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) % 61.34/9.43 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 61.34/9.43 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 61.34/9.43 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 61.34/9.43 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 = % 61.34/9.43 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10) % 61.34/9.43 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12 % 61.34/9.43 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11 % 61.34/9.43 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) & % 61.34/9.43 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 | % 61.34/9.43 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 61.34/9.43 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 % 61.34/9.43 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = % 61.34/9.43 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 % 61.34/9.43 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 % 61.34/9.43 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10)) % 61.34/9.43 | % 61.34/9.43 | ALPHA: (ax2) implies: % 61.34/9.44 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.34/9.44 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 61.34/9.44 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 61.34/9.44 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 61.34/9.44 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12, % 61.34/9.44 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 61.34/9.44 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) % 61.34/9.44 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 61.34/9.44 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 61.34/9.44 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 61.34/9.44 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 = % 61.34/9.44 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) & % 61.34/9.44 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 = % 61.34/9.44 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 | % 61.34/9.44 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 = % 61.34/9.44 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 | % 61.34/9.44 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = % 61.34/9.44 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | % 61.34/9.44 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = % 61.34/9.44 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & % 61.34/9.44 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 = % 61.34/9.44 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 | % 61.34/9.44 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 = % 61.34/9.44 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 | % 61.34/9.44 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 = % 61.34/9.44 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 61.34/9.44 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 % 61.34/9.44 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | % 61.34/9.44 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | % 61.34/9.44 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 % 61.34/9.44 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 % 61.34/9.44 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 = % 61.34/9.44 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1 % 61.34/9.44 | = e10)))) % 61.34/9.44 | % 61.34/9.44 | ALPHA: (ax3) implies: % 61.69/9.45 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.69/9.45 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 61.69/9.45 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 61.69/9.45 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 61.69/9.45 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22, % 61.69/9.45 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 61.69/9.45 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) % 61.69/9.45 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 61.69/9.45 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 61.69/9.45 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 61.69/9.45 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 = % 61.69/9.45 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20) % 61.69/9.45 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12 % 61.69/9.45 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21 % 61.69/9.45 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) & % 61.69/9.45 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 | % 61.69/9.45 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 61.69/9.45 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 % 61.69/9.45 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = % 61.69/9.45 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 % 61.69/9.45 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 % 61.69/9.45 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20)) % 61.69/9.45 | % 61.69/9.45 | ALPHA: (ax4) implies: % 61.69/9.45 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.69/9.45 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 61.69/9.45 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 61.69/9.45 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 61.69/9.45 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22, % 61.69/9.45 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 61.69/9.45 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) % 61.69/9.45 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 61.69/9.45 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 61.69/9.45 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 61.69/9.45 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 = % 61.69/9.45 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) & % 61.69/9.45 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 = % 61.69/9.45 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 | % 61.69/9.45 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 = % 61.69/9.45 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 | % 61.69/9.45 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = % 61.69/9.45 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | % 61.69/9.45 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = % 61.69/9.45 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & % 61.69/9.45 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 = % 61.69/9.45 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 | % 61.69/9.45 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 = % 61.69/9.45 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 | % 61.69/9.45 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 = % 61.69/9.45 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 61.69/9.45 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 % 61.69/9.45 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | % 61.69/9.45 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | % 61.69/9.45 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 % 61.69/9.45 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22 % 61.69/9.45 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 = % 61.69/9.45 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1 % 61.69/9.45 | = e20)))) % 61.69/9.45 | % 61.69/9.45 | ALPHA: (ax5) implies: % 61.69/9.46 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.69/9.46 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 61.69/9.46 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 61.69/9.46 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 61.69/9.46 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 61.69/9.46 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 61.69/9.46 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 61.69/9.46 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 61.69/9.46 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 61.69/9.46 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 61.69/9.46 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 61.69/9.46 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 61.69/9.46 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 61.69/9.46 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 61.69/9.46 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 & % 61.69/9.46 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 & % 61.69/9.46 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & % 61.69/9.46 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & % 61.69/9.46 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & % 61.69/9.46 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) % 61.69/9.46 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 61.69/9.46 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 61.69/9.46 | % 61.69/9.46 | ALPHA: (ax6) implies: % 61.69/9.46 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.69/9.46 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 61.69/9.46 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 61.69/9.46 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 61.69/9.46 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 61.69/9.46 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 61.69/9.46 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 61.69/9.46 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 61.69/9.46 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 61.69/9.46 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 61.69/9.46 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 61.69/9.46 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 61.69/9.46 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 61.69/9.46 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 61.69/9.46 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 & % 61.69/9.46 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 & % 61.69/9.46 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & % 61.69/9.46 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & % 61.69/9.46 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & % 61.69/9.46 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) % 61.69/9.46 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 61.69/9.46 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 61.69/9.46 | % 61.69/9.46 | ALPHA: (ax8) implies: % 61.69/9.46 | (7) ~ (e23 = e20) % 61.69/9.46 | (8) ~ (e23 = e21) % 61.69/9.46 | (9) ~ (e23 = e22) % 61.69/9.46 | % 61.69/9.46 | ALPHA: (ax10) implies: % 61.77/9.47 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.77/9.47 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 61.77/9.47 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 61.77/9.47 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 61.77/9.47 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 61.77/9.47 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 61.77/9.47 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, e13) = % 61.77/9.47 | v31 & op1(v28, e12) = v29 & op1(v26, e11) = v27 & op1(v24, e10) = % 61.77/9.47 | v25 & op1(v22, e13) = v23 & op1(v20, e12) = v21 & op1(v18, e11) = % 61.77/9.47 | v19 & op1(v16, e10) = v17 & op1(v14, e13) = v15 & op1(v12, e12) = % 61.77/9.47 | v13 & op1(v10, e11) = v11 & op1(v8, e10) = v9 & op1(v6, e13) = v7 & % 61.77/9.47 | op1(v4, e12) = v5 & op1(v2, e11) = v3 & op1(v0, e10) = v1 & op1(e13, % 61.77/9.47 | e13) = v30 & op1(e13, e12) = v22 & op1(e13, e11) = v14 & op1(e13, % 61.77/9.47 | e10) = v6 & op1(e12, e13) = v28 & op1(e12, e12) = v20 & op1(e12, % 61.77/9.47 | e11) = v12 & op1(e12, e10) = v4 & op1(e11, e13) = v26 & op1(e11, % 61.77/9.47 | e12) = v18 & op1(e11, e11) = v10 & op1(e11, e10) = v2 & op1(e10, % 61.77/9.47 | e13) = v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 & op1(e10, % 61.77/9.47 | e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & % 61.77/9.47 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) % 61.77/9.47 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 61.77/9.47 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 61.77/9.47 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 % 61.77/9.47 | = v30 | v29 = v28 | v27 = v26 | v25 = v24) & (v23 = v22 | v21 = % 61.77/9.47 | v20 | v19 = v18 | v17 = v16) & (v15 = v14 | v13 = v12 | v11 = v10 % 61.77/9.47 | | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0) & ((v28 = e12 % 61.77/9.47 | & ~ (v30 = e13) & ~ (v22 = e12) & ~ (v20 = e13) & ~ (v14 = % 61.77/9.47 | e11) & ~ (v6 = e10)) | (v26 = e11 & ~ (v30 = e13) & ~ (v22 % 61.77/9.47 | = e12) & ~ (v14 = e11) & ~ (v10 = e13) & ~ (v6 = e10)) | % 61.77/9.47 | (v24 = e10 & ~ (v30 = e13) & ~ (v22 = e12) & ~ (v14 = e11) & ~ % 61.77/9.47 | (v6 = e10) & ~ (v0 = e13)) | (v22 = e13 & ~ (v30 = e12) & ~ % 61.77/9.47 | (v28 = e13) & ~ (v20 = e12) & ~ (v12 = e11) & ~ (v4 = e10)) | % 61.77/9.47 | (v18 = e11 & ~ (v28 = e13) & ~ (v20 = e12) & ~ (v12 = e11) & ~ % 61.77/9.47 | (v10 = e12) & ~ (v4 = e10)) | (v16 = e10 & ~ (v28 = e13) & ~ % 61.77/9.47 | (v20 = e12) & ~ (v12 = e11) & ~ (v4 = e10) & ~ (v0 = e12)) | % 61.77/9.47 | (v14 = e13 & ~ (v30 = e11) & ~ (v26 = e13) & ~ (v18 = e12) & ~ % 61.77/9.47 | (v10 = e11) & ~ (v2 = e10)) | (v12 = e12 & ~ (v26 = e13) & ~ % 61.77/9.47 | (v20 = e11) & ~ (v18 = e12) & ~ (v10 = e11) & ~ (v2 = e10)) | % 61.77/9.47 | (v8 = e10 & ~ (v26 = e13) & ~ (v18 = e12) & ~ (v10 = e11) & ~ % 61.77/9.47 | (v2 = e10) & ~ (v0 = e11)) | (v6 = e13 & ~ (v30 = e10) & ~ % 61.77/9.47 | (v24 = e13) & ~ (v16 = e12) & ~ (v8 = e11) & ~ (v0 = e10)) | % 61.77/9.47 | (v4 = e12 & ~ (v24 = e13) & ~ (v20 = e10) & ~ (v16 = e12) & ~ % 61.77/9.47 | (v8 = e11) & ~ (v0 = e10)) | (v2 = e11 & ~ (v24 = e13) & ~ % 61.77/9.47 | (v16 = e12) & ~ (v10 = e10) & ~ (v8 = e11) & ~ (v0 = e10)))) % 61.77/9.47 | % 61.77/9.47 | ALPHA: (ax11) implies: % 61.77/9.48 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.77/9.48 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 61.77/9.48 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 61.77/9.48 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 61.77/9.48 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 61.77/9.48 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 61.77/9.48 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, e23) = % 61.77/9.48 | v31 & op2(v28, e22) = v29 & op2(v26, e21) = v27 & op2(v24, e20) = % 61.77/9.48 | v25 & op2(v22, e23) = v23 & op2(v20, e22) = v21 & op2(v18, e21) = % 61.77/9.48 | v19 & op2(v16, e20) = v17 & op2(v14, e23) = v15 & op2(v12, e22) = % 61.77/9.48 | v13 & op2(v10, e21) = v11 & op2(v8, e20) = v9 & op2(v6, e23) = v7 & % 61.77/9.48 | op2(v4, e22) = v5 & op2(v2, e21) = v3 & op2(v0, e20) = v1 & op2(e23, % 61.77/9.48 | e23) = v30 & op2(e23, e22) = v22 & op2(e23, e21) = v14 & op2(e23, % 61.77/9.48 | e20) = v6 & op2(e22, e23) = v28 & op2(e22, e22) = v20 & op2(e22, % 61.77/9.48 | e21) = v12 & op2(e22, e20) = v4 & op2(e21, e23) = v26 & op2(e21, % 61.77/9.48 | e22) = v18 & op2(e21, e21) = v10 & op2(e21, e20) = v2 & op2(e20, % 61.77/9.48 | e23) = v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 & op2(e20, % 61.77/9.48 | e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & % 61.77/9.48 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) % 61.77/9.48 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 61.77/9.48 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 61.77/9.48 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 % 61.77/9.48 | = v30 | v29 = v28 | v27 = v26 | v25 = v24) & (v23 = v22 | v21 = % 61.77/9.48 | v20 | v19 = v18 | v17 = v16) & (v15 = v14 | v13 = v12 | v11 = v10 % 61.77/9.48 | | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0) & ((v28 = e22 % 61.77/9.48 | & ~ (v30 = e23) & ~ (v22 = e22) & ~ (v20 = e23) & ~ (v14 = % 61.77/9.48 | e21) & ~ (v6 = e20)) | (v26 = e21 & ~ (v30 = e23) & ~ (v22 % 61.77/9.48 | = e22) & ~ (v14 = e21) & ~ (v10 = e23) & ~ (v6 = e20)) | % 61.77/9.48 | (v24 = e20 & ~ (v30 = e23) & ~ (v22 = e22) & ~ (v14 = e21) & ~ % 61.77/9.48 | (v6 = e20) & ~ (v0 = e23)) | (v22 = e23 & ~ (v30 = e22) & ~ % 61.77/9.48 | (v28 = e23) & ~ (v20 = e22) & ~ (v12 = e21) & ~ (v4 = e20)) | % 61.77/9.48 | (v18 = e21 & ~ (v28 = e23) & ~ (v20 = e22) & ~ (v12 = e21) & ~ % 61.77/9.48 | (v10 = e22) & ~ (v4 = e20)) | (v16 = e20 & ~ (v28 = e23) & ~ % 61.77/9.48 | (v20 = e22) & ~ (v12 = e21) & ~ (v4 = e20) & ~ (v0 = e22)) | % 61.77/9.48 | (v14 = e23 & ~ (v30 = e21) & ~ (v26 = e23) & ~ (v18 = e22) & ~ % 61.77/9.48 | (v10 = e21) & ~ (v2 = e20)) | (v12 = e22 & ~ (v26 = e23) & ~ % 61.77/9.48 | (v20 = e21) & ~ (v18 = e22) & ~ (v10 = e21) & ~ (v2 = e20)) | % 61.77/9.48 | (v8 = e20 & ~ (v26 = e23) & ~ (v18 = e22) & ~ (v10 = e21) & ~ % 61.77/9.48 | (v2 = e20) & ~ (v0 = e21)) | (v6 = e23 & ~ (v30 = e20) & ~ % 61.77/9.48 | (v24 = e23) & ~ (v16 = e22) & ~ (v8 = e21) & ~ (v0 = e20)) | % 61.77/9.48 | (v4 = e22 & ~ (v24 = e23) & ~ (v20 = e20) & ~ (v16 = e22) & ~ % 61.77/9.48 | (v8 = e21) & ~ (v0 = e20)) | (v2 = e21 & ~ (v24 = e23) & ~ % 61.77/9.48 | (v16 = e22) & ~ (v10 = e20) & ~ (v8 = e21) & ~ (v0 = e20)))) % 61.77/9.48 | % 61.77/9.48 | ALPHA: (ax12) implies: % 61.77/9.48 | (12) op1(e13, e11) = e12 % 61.77/9.48 | (13) op1(e13, e12) = e10 % 61.77/9.48 | (14) op1(e13, e13) = e11 % 61.77/9.48 | % 61.77/9.48 | ALPHA: (ax13) implies: % 61.77/9.48 | (15) op2(e23, e21) = e22 % 61.77/9.48 | (16) op2(e23, e22) = e20 % 61.77/9.48 | (17) op2(e23, e23) = e21 % 61.77/9.48 | % 61.77/9.48 | ALPHA: (ax14) implies: % 61.77/9.48 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = e20 & h1(e12) = % 61.77/9.48 | v2 & h1(e11) = v1 & h1(e10) = v0 & op2(e20, v2) = v0 & op2(e20, v1) % 61.77/9.48 | = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0)) % 61.77/9.48 | % 61.77/9.48 | ALPHA: (ax15) implies: % 61.77/9.48 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = e21 & h2(e12) = % 61.77/9.48 | v2 & h2(e11) = v1 & h2(e10) = v0 & op2(e21, v2) = v0 & op2(e21, v1) % 61.77/9.48 | = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0)) % 61.77/9.48 | % 61.77/9.48 | ALPHA: (ax16) implies: % 61.77/9.48 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = e22 & h3(e12) = % 61.77/9.48 | v2 & h3(e11) = v1 & h3(e10) = v0 & op2(e22, v2) = v0 & op2(e22, v1) % 61.77/9.48 | = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0)) % 61.77/9.48 | % 61.77/9.48 | ALPHA: (ax17) implies: % 61.77/9.48 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = e23 & h4(e12) = % 61.77/9.48 | v2 & h4(e11) = v1 & h4(e10) = v0 & op2(e23, v2) = v0 & op2(e23, v1) % 61.77/9.48 | = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0)) % 61.77/9.48 | % 61.77/9.48 | ALPHA: (co1) implies: % 61.77/9.50 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 61.77/9.50 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 61.77/9.50 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 61.77/9.50 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 61.77/9.50 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 61.77/9.50 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 61.77/9.50 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 61.77/9.50 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 61.77/9.50 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 61.77/9.50 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 61.77/9.50 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 61.77/9.50 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 61.77/9.50 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 61.77/9.50 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 61.77/9.50 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 61.77/9.50 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? % 61.77/9.50 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] % 61.77/9.50 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 61.77/9.50 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? % 61.77/9.50 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] % 61.77/9.50 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: % 61.77/9.50 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : % 61.77/9.50 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? % 61.77/9.50 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: % 61.77/9.50 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i] % 61.77/9.50 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ? % 61.77/9.50 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 61.77/9.50 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] % 61.77/9.50 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? % 61.77/9.50 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: % 61.77/9.50 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i] % 61.77/9.50 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? % 61.77/9.50 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: % 61.77/9.50 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] % 61.77/9.50 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? % 61.77/9.50 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 & % 61.77/9.50 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 61.77/9.50 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & % 61.77/9.50 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & % 61.77/9.50 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & % 61.77/9.50 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 & % 61.77/9.50 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 & % 61.77/9.50 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 & % 61.77/9.50 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 & % 61.77/9.50 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 & % 61.77/9.50 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & % 61.77/9.50 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & % 61.77/9.50 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & % 61.77/9.50 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) % 61.77/9.50 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) = % 61.77/9.50 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41 % 61.77/9.50 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 & % 61.77/9.50 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 & % 61.77/9.50 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) = % 61.77/9.50 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134) % 61.77/9.50 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 61.77/9.50 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & % 61.77/9.50 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = % 61.77/9.50 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128, % 61.77/9.50 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 & % 61.77/9.50 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) = % 61.77/9.50 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) = % 61.77/9.50 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) = % 61.77/9.50 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) = % 61.77/9.50 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) = % 61.77/9.50 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) = % 61.77/9.50 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 61.77/9.50 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = % 61.77/9.50 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = % 61.77/9.50 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = % 61.77/9.50 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) = % 61.77/9.50 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) = % 61.77/9.50 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39 % 61.77/9.50 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 & % 61.77/9.50 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 & % 61.77/9.50 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 61.77/9.50 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, % 61.77/9.50 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, % 61.77/9.50 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, % 61.77/9.50 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11, % 61.77/9.50 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10, % 61.77/9.50 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) & % 61.77/9.50 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) & % 61.77/9.50 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) & % 61.77/9.50 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 61.77/9.50 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & % 61.77/9.50 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & % 61.77/9.50 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) & % 61.77/9.50 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) & % 61.77/9.50 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) & % 61.77/9.50 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & % 61.77/9.50 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 61.77/9.50 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) % 61.77/9.50 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & % 61.77/9.50 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) % 61.77/9.50 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & % 61.77/9.50 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) % 61.77/9.50 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & % 61.77/9.50 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) % 61.77/9.50 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & % 61.77/9.50 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) % 61.77/9.50 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & % 61.77/9.50 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 61.77/9.50 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 61.77/9.50 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 61.77/9.50 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 61.77/9.50 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ % 61.77/9.50 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = % 61.77/9.50 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | % 61.77/9.50 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 % 61.77/9.50 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130) % 61.77/9.50 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~ % 61.77/9.50 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 = % 61.77/9.50 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) | % 61.77/9.50 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = % 61.77/9.50 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & % 61.77/9.50 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ % 61.77/9.50 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 = % 61.77/9.50 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) | % 61.77/9.50 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = % 61.77/9.50 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~ % 61.77/9.50 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23)) % 61.77/9.50 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 61.77/9.50 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ % 61.77/9.50 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) % 61.77/9.50 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 % 61.77/9.50 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ % 61.77/9.50 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) | % 61.77/9.50 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) | % 61.77/9.50 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23) % 61.77/9.50 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 = % 61.77/9.50 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~ % 61.77/9.50 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20) % 61.77/9.50 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 61.77/9.50 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ % 61.77/9.50 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | % 61.77/9.50 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | % 61.77/9.50 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ % 61.77/9.50 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) | % 61.77/9.50 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22)) % 61.77/9.50 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 = % 61.77/9.50 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~ % 61.77/9.50 | (v2 = e20)))) % 61.77/9.50 | % 61.77/9.50 | ALPHA: (function-axioms) implies: % 61.77/9.50 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) % 61.77/9.50 | | ~ (h1(v2) = v0)) % 61.77/9.50 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) % 61.77/9.50 | | ~ (h2(v2) = v0)) % 61.77/9.50 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1) % 61.77/9.50 | | ~ (h3(v2) = v0)) % 61.77/9.50 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1) % 61.77/9.50 | | ~ (h4(v2) = v0)) % 61.77/9.50 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 61.77/9.50 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 61.77/9.50 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 61.77/9.50 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 61.77/9.50 | % 61.77/9.50 | DELTA: instantiating (19) with fresh symbols all_4_0, all_4_1, all_4_2 gives: % 61.77/9.50 | (29) h2(e13) = e21 & h2(e12) = all_4_0 & h2(e11) = all_4_1 & h2(e10) = % 61.77/9.50 | all_4_2 & op2(e21, all_4_0) = all_4_2 & op2(e21, all_4_1) = all_4_0 & % 61.77/9.50 | op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) % 61.77/9.50 | % 61.77/9.50 | ALPHA: (29) implies: % 61.77/9.50 | (30) op2(e21, e21) = all_4_1 % 61.77/9.50 | (31) op2(e21, all_4_1) = all_4_0 % 61.77/9.50 | (32) h2(e11) = all_4_1 % 61.77/9.50 | (33) h2(e12) = all_4_0 % 61.77/9.50 | (34) h2(e13) = e21 % 61.77/9.50 | % 61.77/9.50 | DELTA: instantiating (20) with fresh symbols all_6_0, all_6_1, all_6_2 gives: % 61.77/9.50 | (35) h3(e13) = e22 & h3(e12) = all_6_0 & h3(e11) = all_6_1 & h3(e10) = % 61.77/9.50 | all_6_2 & op2(e22, all_6_0) = all_6_2 & op2(e22, all_6_1) = all_6_0 & % 61.77/9.50 | op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2) % 61.77/9.50 | % 61.77/9.50 | ALPHA: (35) implies: % 61.77/9.50 | (36) op2(e22, e22) = all_6_1 % 61.77/9.50 | (37) op2(e22, all_6_1) = all_6_0 % 61.77/9.51 | (38) h3(e11) = all_6_1 % 61.77/9.51 | (39) h3(e12) = all_6_0 % 61.77/9.51 | (40) h3(e13) = e22 % 61.77/9.51 | % 61.77/9.51 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives: % 61.77/9.51 | (41) h4(e13) = e23 & h4(e12) = all_8_0 & h4(e11) = all_8_1 & h4(e10) = % 61.77/9.51 | all_8_2 & op2(e23, all_8_0) = all_8_2 & op2(e23, all_8_1) = all_8_0 & % 61.77/9.51 | op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2) % 61.77/9.51 | % 61.77/9.51 | ALPHA: (41) implies: % 61.77/9.51 | (42) op2(e23, e23) = all_8_1 % 61.77/9.51 | (43) op2(e23, all_8_1) = all_8_0 % 61.77/9.51 | (44) op2(e23, all_8_0) = all_8_2 % 61.77/9.51 | (45) h4(e10) = all_8_2 % 61.77/9.51 | (46) h4(e11) = all_8_1 % 61.77/9.51 | (47) h4(e12) = all_8_0 % 61.77/9.51 | (48) h4(e13) = e23 % 61.77/9.51 | % 61.77/9.51 | DELTA: instantiating (18) with fresh symbols all_10_0, all_10_1, all_10_2 % 61.77/9.51 | gives: % 61.77/9.51 | (49) h1(e13) = e20 & h1(e12) = all_10_0 & h1(e11) = all_10_1 & h1(e10) = % 61.77/9.51 | all_10_2 & op2(e20, all_10_0) = all_10_2 & op2(e20, all_10_1) = % 61.77/9.51 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) & % 61.77/9.51 | $i(all_10_2) % 61.77/9.51 | % 61.77/9.51 | ALPHA: (49) implies: % 61.77/9.51 | (50) op2(e20, e20) = all_10_1 % 61.77/9.51 | (51) h1(e11) = all_10_1 % 61.77/9.51 | (52) h1(e13) = e20 % 61.77/9.51 | % 61.77/9.51 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2, % 61.77/9.51 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9, % 61.77/9.51 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives: % 61.77/9.51 | (53) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 = % 61.77/9.51 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~ % 61.77/9.51 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 = % 61.77/9.51 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~ % 61.77/9.51 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 = % 61.77/9.51 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) & % 61.77/9.51 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 = % 61.77/9.51 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) & % 61.77/9.51 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 = % 61.77/9.51 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) & % 61.77/9.51 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 = % 61.77/9.51 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) & % 61.77/9.51 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 = % 61.77/9.51 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) & % 61.77/9.51 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 = % 61.77/9.51 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11) % 61.77/9.51 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~ % 61.77/9.51 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 = % 61.77/9.51 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15) % 61.77/9.51 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13, % 61.77/9.51 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) = % 61.77/9.51 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 & % 61.77/9.51 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) = % 61.77/9.51 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 & % 61.77/9.51 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) = % 61.77/9.51 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 & % 61.77/9.51 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) & % 61.77/9.51 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) & % 61.77/9.51 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) & % 61.77/9.51 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15) % 61.77/9.51 | % 61.77/9.51 | ALPHA: (53) implies: % 61.77/9.51 | (54) ~ (all_12_14 = all_12_15) % 61.77/9.51 | (55) ~ (all_12_13 = all_12_15) % 61.77/9.51 | (56) ~ (all_12_13 = all_12_14) % 61.77/9.51 | (57) ~ (all_12_12 = all_12_15) % 61.77/9.51 | (58) ~ (all_12_12 = all_12_14) % 61.77/9.51 | (59) ~ (all_12_12 = all_12_13) % 61.77/9.51 | (60) ~ (all_12_11 = all_12_15) % 61.77/9.51 | (61) ~ (all_12_10 = all_12_14) % 61.77/9.51 | (62) ~ (all_12_10 = all_12_11) % 61.77/9.51 | (63) ~ (all_12_9 = all_12_13) % 61.77/9.51 | (64) ~ (all_12_9 = all_12_11) % 61.77/9.51 | (65) ~ (all_12_9 = all_12_10) % 61.77/9.51 | (66) ~ (all_12_8 = all_12_12) % 61.77/9.51 | (67) ~ (all_12_8 = all_12_11) % 61.77/9.51 | (68) ~ (all_12_8 = all_12_10) % 61.77/9.51 | (69) ~ (all_12_8 = all_12_9) % 61.77/9.51 | (70) ~ (all_12_7 = all_12_15) % 61.77/9.51 | (71) ~ (all_12_7 = all_12_11) % 61.77/9.51 | (72) ~ (all_12_6 = all_12_14) % 61.77/9.51 | (73) ~ (all_12_6 = all_12_10) % 61.77/9.51 | (74) ~ (all_12_6 = all_12_7) % 61.77/9.51 | (75) ~ (all_12_5 = all_12_13) % 61.77/9.51 | (76) ~ (all_12_5 = all_12_9) % 61.77/9.51 | (77) ~ (all_12_5 = all_12_7) % 61.77/9.51 | (78) ~ (all_12_5 = all_12_6) % 61.77/9.51 | (79) ~ (all_12_4 = all_12_12) % 61.77/9.51 | (80) ~ (all_12_4 = all_12_8) % 61.77/9.51 | (81) ~ (all_12_4 = all_12_7) % 61.77/9.51 | (82) ~ (all_12_4 = all_12_6) % 61.77/9.51 | (83) ~ (all_12_4 = all_12_5) % 61.77/9.51 | (84) ~ (all_12_3 = all_12_15) % 61.77/9.51 | (85) ~ (all_12_3 = all_12_11) % 61.77/9.51 | (86) ~ (all_12_3 = all_12_7) % 61.77/9.51 | (87) ~ (all_12_2 = all_12_14) % 61.77/9.51 | (88) ~ (all_12_2 = all_12_10) % 61.77/9.51 | (89) ~ (all_12_2 = all_12_6) % 61.77/9.51 | (90) ~ (all_12_2 = all_12_3) % 61.77/9.51 | (91) ~ (all_12_1 = all_12_13) % 61.77/9.51 | (92) ~ (all_12_1 = all_12_9) % 61.77/9.51 | (93) ~ (all_12_1 = all_12_5) % 61.77/9.51 | (94) ~ (all_12_1 = all_12_3) % 61.77/9.51 | (95) ~ (all_12_1 = all_12_2) % 61.77/9.51 | (96) ~ (all_12_0 = all_12_12) % 61.77/9.51 | (97) ~ (all_12_0 = all_12_8) % 61.77/9.51 | (98) ~ (all_12_0 = all_12_4) % 61.77/9.52 | (99) ~ (all_12_0 = all_12_3) % 61.77/9.52 | (100) ~ (all_12_0 = all_12_2) % 61.77/9.52 | (101) ~ (all_12_0 = all_12_1) % 61.77/9.52 | (102) op1(e10, e10) = all_12_15 % 61.77/9.52 | (103) op1(e10, e11) = all_12_11 % 61.77/9.52 | (104) op1(e10, e12) = all_12_7 % 61.77/9.52 | (105) op1(e10, e13) = all_12_3 % 61.77/9.52 | (106) op1(e11, e10) = all_12_14 % 61.77/9.52 | (107) op1(e11, e11) = all_12_10 % 61.77/9.52 | (108) op1(e11, e12) = all_12_6 % 61.77/9.52 | (109) op1(e11, e13) = all_12_2 % 61.77/9.52 | (110) op1(e12, e10) = all_12_13 % 61.77/9.52 | (111) op1(e12, e11) = all_12_9 % 61.77/9.52 | (112) op1(e12, e12) = all_12_5 % 61.77/9.52 | (113) op1(e12, e13) = all_12_1 % 61.77/9.52 | (114) op1(e13, e10) = all_12_12 % 61.77/9.52 | (115) op1(e13, e11) = all_12_8 % 61.77/9.52 | (116) op1(e13, e12) = all_12_4 % 61.77/9.52 | (117) op1(e13, e13) = all_12_0 % 61.77/9.52 | % 61.77/9.52 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2, % 61.77/9.52 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9, % 61.77/9.52 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives: % 61.99/9.52 | (118) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 = % 61.99/9.52 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) & % 61.99/9.52 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 = % 61.99/9.52 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) & % 61.99/9.52 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 = % 61.99/9.52 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) & % 61.99/9.52 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 = % 61.99/9.52 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) & % 61.99/9.52 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 = % 61.99/9.52 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) & % 61.99/9.52 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 = % 61.99/9.52 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) & % 61.99/9.52 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8 % 61.99/9.52 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11) % 61.99/9.52 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~ % 61.99/9.52 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 = % 61.99/9.52 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 = % 61.99/9.52 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 = % 61.99/9.52 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 = % 61.99/9.52 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 = % 61.99/9.52 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 & % 61.99/9.52 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23) % 61.99/9.52 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 & % 61.99/9.52 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22) % 61.99/9.52 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 & % 61.99/9.52 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) = % 61.99/9.52 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) & % 61.99/9.52 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) & % 61.99/9.52 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) & % 61.99/9.52 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) & % 61.99/9.52 | $i(all_14_14) & $i(all_14_15) % 61.99/9.52 | % 61.99/9.52 | ALPHA: (118) implies: % 61.99/9.52 | (119) ~ (all_14_14 = all_14_15) % 61.99/9.52 | (120) ~ (all_14_13 = all_14_15) % 61.99/9.52 | (121) ~ (all_14_13 = all_14_14) % 61.99/9.52 | (122) ~ (all_14_12 = all_14_15) % 61.99/9.52 | (123) ~ (all_14_12 = all_14_14) % 61.99/9.52 | (124) ~ (all_14_12 = all_14_13) % 61.99/9.52 | (125) ~ (all_14_11 = all_14_15) % 61.99/9.52 | (126) ~ (all_14_10 = all_14_14) % 61.99/9.52 | (127) ~ (all_14_10 = all_14_11) % 61.99/9.52 | (128) ~ (all_14_9 = all_14_13) % 61.99/9.52 | (129) ~ (all_14_9 = all_14_11) % 61.99/9.52 | (130) ~ (all_14_9 = all_14_10) % 61.99/9.52 | (131) ~ (all_14_8 = all_14_12) % 61.99/9.52 | (132) ~ (all_14_8 = all_14_11) % 61.99/9.52 | (133) ~ (all_14_8 = all_14_10) % 61.99/9.52 | (134) ~ (all_14_8 = all_14_9) % 61.99/9.52 | (135) ~ (all_14_7 = all_14_15) % 61.99/9.52 | (136) ~ (all_14_7 = all_14_11) % 61.99/9.52 | (137) ~ (all_14_6 = all_14_14) % 61.99/9.52 | (138) ~ (all_14_6 = all_14_10) % 61.99/9.52 | (139) ~ (all_14_6 = all_14_7) % 61.99/9.52 | (140) ~ (all_14_5 = all_14_13) % 61.99/9.52 | (141) ~ (all_14_5 = all_14_7) % 61.99/9.52 | (142) ~ (all_14_5 = all_14_6) % 61.99/9.52 | (143) ~ (all_14_4 = all_14_12) % 61.99/9.52 | (144) ~ (all_14_4 = all_14_8) % 61.99/9.52 | (145) ~ (all_14_4 = all_14_7) % 61.99/9.52 | (146) ~ (all_14_4 = all_14_6) % 61.99/9.52 | (147) ~ (all_14_4 = all_14_5) % 61.99/9.52 | (148) ~ (all_14_3 = all_14_15) % 61.99/9.52 | (149) ~ (all_14_3 = all_14_11) % 61.99/9.52 | (150) ~ (all_14_3 = all_14_7) % 61.99/9.52 | (151) ~ (all_14_2 = all_14_14) % 61.99/9.52 | (152) ~ (all_14_2 = all_14_10) % 61.99/9.52 | (153) ~ (all_14_2 = all_14_6) % 61.99/9.52 | (154) ~ (all_14_2 = all_14_3) % 61.99/9.52 | (155) ~ (all_14_1 = all_14_13) % 61.99/9.52 | (156) ~ (all_14_1 = all_14_9) % 61.99/9.52 | (157) ~ (all_14_1 = all_14_5) % 61.99/9.52 | (158) ~ (all_14_1 = all_14_3) % 61.99/9.52 | (159) ~ (all_14_1 = all_14_2) % 61.99/9.52 | (160) ~ (all_14_0 = all_14_12) % 61.99/9.52 | (161) ~ (all_14_0 = all_14_8) % 61.99/9.52 | (162) ~ (all_14_0 = all_14_4) % 61.99/9.52 | (163) ~ (all_14_0 = all_14_3) % 61.99/9.52 | (164) ~ (all_14_0 = all_14_2) % 61.99/9.52 | (165) ~ (all_14_0 = all_14_1) % 61.99/9.52 | (166) op2(e20, e20) = all_14_15 % 61.99/9.52 | (167) op2(e20, e21) = all_14_11 % 61.99/9.52 | (168) op2(e20, e22) = all_14_7 % 61.99/9.52 | (169) op2(e20, e23) = all_14_3 % 61.99/9.53 | (170) op2(e21, e20) = all_14_14 % 61.99/9.53 | (171) op2(e21, e21) = all_14_10 % 61.99/9.53 | (172) op2(e21, e22) = all_14_6 % 61.99/9.53 | (173) op2(e21, e23) = all_14_2 % 61.99/9.53 | (174) op2(e22, e20) = all_14_13 % 61.99/9.53 | (175) op2(e22, e21) = all_14_9 % 61.99/9.53 | (176) op2(e22, e22) = all_14_5 % 61.99/9.53 | (177) op2(e22, e23) = all_14_1 % 61.99/9.53 | (178) op2(e23, e20) = all_14_12 % 61.99/9.53 | (179) op2(e23, e21) = all_14_8 % 61.99/9.53 | (180) op2(e23, e22) = all_14_4 % 61.99/9.53 | (181) op2(e23, e23) = all_14_0 % 61.99/9.53 | % 61.99/9.53 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2, % 61.99/9.53 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9, % 61.99/9.53 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives: % 61.99/9.53 | (182) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) = % 61.99/9.53 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 & % 61.99/9.53 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) = % 61.99/9.53 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 & % 61.99/9.53 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13) % 61.99/9.53 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 & % 61.99/9.53 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) & % 61.99/9.53 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) & % 61.99/9.53 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) & % 61.99/9.53 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) & % 61.99/9.53 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 | % 61.99/9.53 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12 % 61.99/9.53 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 = % 61.99/9.53 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3 % 61.99/9.53 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 | % 61.99/9.53 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13 % 61.99/9.53 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 = % 61.99/9.53 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7 % 61.99/9.53 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) & % 61.99/9.53 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) & % 61.99/9.53 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) & % 61.99/9.53 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 61.99/9.53 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | % 61.99/9.53 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 = % 61.99/9.53 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 | % 61.99/9.53 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 = % 61.99/9.53 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 | % 61.99/9.53 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10) % 61.99/9.53 | % 61.99/9.53 | ALPHA: (182) implies: % 61.99/9.53 | (183) op1(e10, e10) = all_16_15 % 61.99/9.53 | (184) op1(e10, e11) = all_16_14 % 61.99/9.53 | (185) op1(e10, e12) = all_16_13 % 61.99/9.53 | (186) op1(e10, e13) = all_16_12 % 61.99/9.53 | (187) op1(e11, e10) = all_16_11 % 61.99/9.53 | (188) op1(e11, e11) = all_16_10 % 61.99/9.53 | (189) op1(e11, e12) = all_16_9 % 61.99/9.53 | (190) op1(e11, e13) = all_16_8 % 61.99/9.53 | (191) op1(e12, e10) = all_16_7 % 61.99/9.53 | (192) op1(e12, e11) = all_16_6 % 61.99/9.53 | (193) op1(e12, e12) = all_16_5 % 61.99/9.53 | (194) op1(e12, e13) = all_16_4 % 61.99/9.53 | (195) op1(e13, e10) = all_16_3 % 61.99/9.53 | (196) op1(e13, e11) = all_16_2 % 61.99/9.53 | (197) op1(e13, e12) = all_16_1 % 61.99/9.53 | (198) op1(e13, e13) = all_16_0 % 61.99/9.53 | (199) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10 % 61.99/9.53 | (200) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10 % 61.99/9.53 | (201) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 61.99/9.53 | (202) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10 % 61.99/9.53 | (203) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10 % 61.99/9.53 | (204) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 61.99/9.53 | (205) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 61.99/9.53 | (206) all_16_7 = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10 % 61.99/9.53 | (207) all_16_6 = e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10 % 61.99/9.53 | (208) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 61.99/9.53 | (209) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 61.99/9.53 | (210) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10 % 61.99/9.53 | % 61.99/9.53 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2, % 61.99/9.53 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9, % 61.99/9.53 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives: % 61.99/9.54 | (211) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) = % 61.99/9.54 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 & % 61.99/9.54 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) = % 61.99/9.54 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 & % 61.99/9.54 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23) % 61.99/9.54 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 & % 61.99/9.54 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) & % 61.99/9.54 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) & % 61.99/9.54 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) & % 61.99/9.54 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) & % 61.99/9.54 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 | % 61.99/9.54 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22 % 61.99/9.54 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 = % 61.99/9.54 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3 % 61.99/9.54 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 | % 61.99/9.54 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23 % 61.99/9.54 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 = % 61.99/9.54 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7 % 61.99/9.54 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) & % 61.99/9.54 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) & % 61.99/9.54 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) & % 61.99/9.54 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = % 61.99/9.54 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | % 61.99/9.54 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 = % 61.99/9.54 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 | % 61.99/9.54 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 = % 61.99/9.54 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 | % 61.99/9.54 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20) % 61.99/9.54 | % 61.99/9.54 | ALPHA: (211) implies: % 61.99/9.54 | (212) op2(e20, e20) = all_18_15 % 61.99/9.54 | (213) op2(e20, e21) = all_18_14 % 61.99/9.54 | (214) op2(e20, e22) = all_18_13 % 61.99/9.54 | (215) op2(e20, e23) = all_18_12 % 61.99/9.54 | (216) op2(e21, e20) = all_18_11 % 61.99/9.54 | (217) op2(e21, e21) = all_18_10 % 61.99/9.54 | (218) op2(e21, e22) = all_18_9 % 61.99/9.54 | (219) op2(e21, e23) = all_18_8 % 61.99/9.54 | (220) op2(e22, e20) = all_18_7 % 61.99/9.54 | (221) op2(e22, e21) = all_18_6 % 61.99/9.54 | (222) op2(e22, e22) = all_18_5 % 61.99/9.54 | (223) op2(e22, e23) = all_18_4 % 61.99/9.54 | (224) op2(e23, e20) = all_18_3 % 61.99/9.54 | (225) op2(e23, e21) = all_18_2 % 61.99/9.54 | (226) op2(e23, e22) = all_18_1 % 61.99/9.54 | (227) op2(e23, e23) = all_18_0 % 61.99/9.54 | (228) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20 % 61.99/9.54 | (229) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20 % 61.99/9.54 | (230) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20 % 61.99/9.54 | (231) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20 % 61.99/9.54 | (232) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20 % 61.99/9.54 | (233) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20 % 61.99/9.54 | (234) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20 % 61.99/9.54 | (235) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 61.99/9.54 | (236) all_18_7 = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 61.99/9.54 | (237) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20 % 61.99/9.54 | (238) all_18_5 = e23 | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 61.99/9.54 | (239) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 61.99/9.54 | % 61.99/9.54 | DELTA: instantiating (10) with fresh symbols all_20_0, all_20_1, all_20_2, % 61.99/9.54 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9, % 61.99/9.54 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15, % 61.99/9.54 | all_20_16, all_20_17, all_20_18, all_20_19, all_20_20, all_20_21, % 61.99/9.54 | all_20_22, all_20_23, all_20_24, all_20_25, all_20_26, all_20_27, % 61.99/9.54 | all_20_28, all_20_29, all_20_30, all_20_31 gives: % 61.99/9.54 | (240) op1(all_20_1, e13) = all_20_0 & op1(all_20_3, e12) = all_20_2 & % 61.99/9.54 | op1(all_20_5, e11) = all_20_4 & op1(all_20_7, e10) = all_20_6 & % 61.99/9.54 | op1(all_20_9, e13) = all_20_8 & op1(all_20_11, e12) = all_20_10 & % 61.99/9.54 | op1(all_20_13, e11) = all_20_12 & op1(all_20_15, e10) = all_20_14 & % 61.99/9.54 | op1(all_20_17, e13) = all_20_16 & op1(all_20_19, e12) = all_20_18 & % 61.99/9.54 | op1(all_20_21, e11) = all_20_20 & op1(all_20_23, e10) = all_20_22 & % 61.99/9.54 | op1(all_20_25, e13) = all_20_24 & op1(all_20_27, e12) = all_20_26 & % 61.99/9.54 | op1(all_20_29, e11) = all_20_28 & op1(all_20_31, e10) = all_20_30 & % 61.99/9.54 | op1(e13, e13) = all_20_1 & op1(e13, e12) = all_20_9 & op1(e13, e11) = % 61.99/9.54 | all_20_17 & op1(e13, e10) = all_20_25 & op1(e12, e13) = all_20_3 & % 61.99/9.54 | op1(e12, e12) = all_20_11 & op1(e12, e11) = all_20_19 & op1(e12, e10) % 61.99/9.54 | = all_20_27 & op1(e11, e13) = all_20_5 & op1(e11, e12) = all_20_13 & % 61.99/9.54 | op1(e11, e11) = all_20_21 & op1(e11, e10) = all_20_29 & op1(e10, e13) % 61.99/9.54 | = all_20_7 & op1(e10, e12) = all_20_15 & op1(e10, e11) = all_20_23 & % 61.99/9.54 | op1(e10, e10) = all_20_31 & $i(all_20_0) & $i(all_20_1) & % 61.99/9.54 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) & % 61.99/9.54 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) & % 61.99/9.54 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) & % 61.99/9.54 | $i(all_20_14) & $i(all_20_15) & $i(all_20_16) & $i(all_20_17) & % 61.99/9.54 | $i(all_20_18) & $i(all_20_19) & $i(all_20_20) & $i(all_20_21) & % 61.99/9.54 | $i(all_20_22) & $i(all_20_23) & $i(all_20_24) & $i(all_20_25) & % 61.99/9.54 | $i(all_20_26) & $i(all_20_27) & $i(all_20_28) & $i(all_20_29) & % 61.99/9.54 | $i(all_20_30) & $i(all_20_31) & (all_20_0 = all_20_1 | all_20_2 = % 61.99/9.54 | all_20_3 | all_20_4 = all_20_5 | all_20_6 = all_20_7) & (all_20_8 = % 61.99/9.54 | all_20_9 | all_20_10 = all_20_11 | all_20_12 = all_20_13 | % 61.99/9.54 | all_20_14 = all_20_15) & (all_20_16 = all_20_17 | all_20_18 = % 61.99/9.54 | all_20_19 | all_20_20 = all_20_21 | all_20_22 = all_20_23) & % 61.99/9.54 | (all_20_24 = all_20_25 | all_20_26 = all_20_27 | all_20_28 = % 61.99/9.54 | all_20_29 | all_20_30 = all_20_31) & ((all_20_3 = e12 & ~ % 61.99/9.54 | (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_11 = e13) & % 61.99/9.54 | ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) | (all_20_5 = e11 & % 61.99/9.54 | ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & % 61.99/9.54 | ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) | (all_20_7 = e10 & % 61.99/9.54 | ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & % 61.99/9.54 | ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) | (all_20_9 = e13 & % 61.99/9.54 | ~ (all_20_1 = e12) & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & % 61.99/9.54 | ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) | (all_20_13 = e11 & % 61.99/9.54 | ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19 = e11) % 61.99/9.54 | & ~ (all_20_21 = e12) & ~ (all_20_27 = e10)) | (all_20_15 = e10 % 61.99/9.54 | & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19 = % 61.99/9.54 | e11) & ~ (all_20_27 = e10) & ~ (all_20_31 = e12)) | % 61.99/9.54 | (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_5 = e13) & ~ % 61.99/9.54 | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) % 61.99/9.54 | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & % 61.99/9.54 | ~ (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = % 61.99/9.54 | e10)) | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ (all_20_13 % 61.99/9.54 | = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10) & ~ % 61.99/9.54 | (all_20_31 = e11)) | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 61.99/9.54 | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & % 61.99/9.54 | ~ (all_20_31 = e10)) | (all_20_27 = e12 & ~ (all_20_7 = e13) & % 61.99/9.54 | ~ (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ (all_20_23 = e11) % 61.99/9.54 | & ~ (all_20_31 = e10)) | (all_20_29 = e11 & ~ (all_20_7 = e13) % 61.99/9.54 | & ~ (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ (all_20_23 = % 61.99/9.54 | e11) & ~ (all_20_31 = e10))) % 61.99/9.54 | % 61.99/9.54 | ALPHA: (240) implies: % 61.99/9.54 | (241) op1(e10, e10) = all_20_31 % 61.99/9.55 | (242) op1(e10, e11) = all_20_23 % 61.99/9.55 | (243) op1(e10, e12) = all_20_15 % 61.99/9.55 | (244) op1(e10, e13) = all_20_7 % 61.99/9.55 | (245) op1(e11, e10) = all_20_29 % 61.99/9.55 | (246) op1(e11, e11) = all_20_21 % 61.99/9.55 | (247) op1(e11, e12) = all_20_13 % 61.99/9.55 | (248) op1(e11, e13) = all_20_5 % 61.99/9.55 | (249) op1(e12, e10) = all_20_27 % 61.99/9.55 | (250) op1(e12, e11) = all_20_19 % 61.99/9.55 | (251) op1(e12, e12) = all_20_11 % 61.99/9.55 | (252) op1(e12, e13) = all_20_3 % 61.99/9.55 | (253) op1(e13, e10) = all_20_25 % 61.99/9.55 | (254) op1(e13, e11) = all_20_17 % 61.99/9.55 | (255) op1(e13, e12) = all_20_9 % 61.99/9.55 | (256) op1(e13, e13) = all_20_1 % 61.99/9.55 | (257) op1(all_20_31, e10) = all_20_30 % 61.99/9.55 | (258) op1(all_20_29, e11) = all_20_28 % 61.99/9.55 | (259) op1(all_20_27, e12) = all_20_26 % 61.99/9.55 | (260) op1(all_20_25, e13) = all_20_24 % 61.99/9.55 | (261) op1(all_20_23, e10) = all_20_22 % 61.99/9.55 | (262) op1(all_20_21, e11) = all_20_20 % 61.99/9.55 | (263) op1(all_20_19, e12) = all_20_18 % 61.99/9.55 | (264) op1(all_20_17, e13) = all_20_16 % 61.99/9.55 | (265) op1(all_20_15, e10) = all_20_14 % 61.99/9.55 | (266) op1(all_20_13, e11) = all_20_12 % 61.99/9.55 | (267) op1(all_20_11, e12) = all_20_10 % 61.99/9.55 | (268) op1(all_20_9, e13) = all_20_8 % 61.99/9.55 | (269) op1(all_20_7, e10) = all_20_6 % 62.13/9.55 | (270) op1(all_20_5, e11) = all_20_4 % 62.13/9.55 | (271) op1(all_20_3, e12) = all_20_2 % 62.13/9.55 | (272) op1(all_20_1, e13) = all_20_0 % 62.13/9.55 | (273) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 62.13/9.55 | (all_20_11 = e13) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 62.13/9.55 | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 62.13/9.55 | (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.13/9.55 | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 62.13/9.55 | (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 62.13/9.55 | (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_3 = e13) & ~ % 62.13/9.55 | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 62.13/9.55 | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.13/9.55 | (all_20_19 = e11) & ~ (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.13/9.55 | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.13/9.55 | (all_20_19 = e11) & ~ (all_20_27 = e10) & ~ (all_20_31 = e12)) | % 62.13/9.55 | (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_5 = e13) & ~ % 62.13/9.55 | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.13/9.55 | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & ~ % 62.13/9.55 | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.13/9.55 | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 62.13/9.55 | (all_20_21 = e11) & ~ (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 62.13/9.55 | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ (all_20_7 = e13) & ~ % 62.13/9.55 | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.13/9.55 | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_11 = e10) & ~ % 62.13/9.55 | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.13/9.55 | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 62.13/9.55 | (all_20_21 = e10) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) % 62.13/9.55 | (274) all_20_24 = all_20_25 | all_20_26 = all_20_27 | all_20_28 = all_20_29 % 62.13/9.55 | | all_20_30 = all_20_31 % 62.13/9.55 | (275) all_20_16 = all_20_17 | all_20_18 = all_20_19 | all_20_20 = all_20_21 % 62.13/9.55 | | all_20_22 = all_20_23 % 62.13/9.55 | (276) all_20_8 = all_20_9 | all_20_10 = all_20_11 | all_20_12 = all_20_13 | % 62.13/9.55 | all_20_14 = all_20_15 % 62.13/9.55 | (277) all_20_0 = all_20_1 | all_20_2 = all_20_3 | all_20_4 = all_20_5 | % 62.13/9.55 | all_20_6 = all_20_7 % 62.13/9.55 | % 62.13/9.55 | DELTA: instantiating (11) with fresh symbols all_22_0, all_22_1, all_22_2, % 62.13/9.55 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9, % 62.13/9.55 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15, % 62.13/9.55 | all_22_16, all_22_17, all_22_18, all_22_19, all_22_20, all_22_21, % 62.13/9.55 | all_22_22, all_22_23, all_22_24, all_22_25, all_22_26, all_22_27, % 62.13/9.55 | all_22_28, all_22_29, all_22_30, all_22_31 gives: % 62.13/9.55 | (278) op2(all_22_1, e23) = all_22_0 & op2(all_22_3, e22) = all_22_2 & % 62.13/9.55 | op2(all_22_5, e21) = all_22_4 & op2(all_22_7, e20) = all_22_6 & % 62.13/9.55 | op2(all_22_9, e23) = all_22_8 & op2(all_22_11, e22) = all_22_10 & % 62.13/9.55 | op2(all_22_13, e21) = all_22_12 & op2(all_22_15, e20) = all_22_14 & % 62.13/9.55 | op2(all_22_17, e23) = all_22_16 & op2(all_22_19, e22) = all_22_18 & % 62.13/9.55 | op2(all_22_21, e21) = all_22_20 & op2(all_22_23, e20) = all_22_22 & % 62.13/9.55 | op2(all_22_25, e23) = all_22_24 & op2(all_22_27, e22) = all_22_26 & % 62.13/9.55 | op2(all_22_29, e21) = all_22_28 & op2(all_22_31, e20) = all_22_30 & % 62.13/9.55 | op2(e23, e23) = all_22_1 & op2(e23, e22) = all_22_9 & op2(e23, e21) = % 62.13/9.55 | all_22_17 & op2(e23, e20) = all_22_25 & op2(e22, e23) = all_22_3 & % 62.13/9.55 | op2(e22, e22) = all_22_11 & op2(e22, e21) = all_22_19 & op2(e22, e20) % 62.13/9.55 | = all_22_27 & op2(e21, e23) = all_22_5 & op2(e21, e22) = all_22_13 & % 62.13/9.55 | op2(e21, e21) = all_22_21 & op2(e21, e20) = all_22_29 & op2(e20, e23) % 62.13/9.55 | = all_22_7 & op2(e20, e22) = all_22_15 & op2(e20, e21) = all_22_23 & % 62.13/9.55 | op2(e20, e20) = all_22_31 & $i(all_22_0) & $i(all_22_1) & % 62.13/9.55 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) & % 62.13/9.55 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) & % 62.13/9.55 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) & % 62.13/9.55 | $i(all_22_14) & $i(all_22_15) & $i(all_22_16) & $i(all_22_17) & % 62.13/9.55 | $i(all_22_18) & $i(all_22_19) & $i(all_22_20) & $i(all_22_21) & % 62.13/9.55 | $i(all_22_22) & $i(all_22_23) & $i(all_22_24) & $i(all_22_25) & % 62.13/9.55 | $i(all_22_26) & $i(all_22_27) & $i(all_22_28) & $i(all_22_29) & % 62.13/9.55 | $i(all_22_30) & $i(all_22_31) & (all_22_0 = all_22_1 | all_22_2 = % 62.13/9.55 | all_22_3 | all_22_4 = all_22_5 | all_22_6 = all_22_7) & (all_22_8 = % 62.13/9.55 | all_22_9 | all_22_10 = all_22_11 | all_22_12 = all_22_13 | % 62.13/9.55 | all_22_14 = all_22_15) & (all_22_16 = all_22_17 | all_22_18 = % 62.13/9.55 | all_22_19 | all_22_20 = all_22_21 | all_22_22 = all_22_23) & % 62.13/9.55 | (all_22_24 = all_22_25 | all_22_26 = all_22_27 | all_22_28 = % 62.13/9.55 | all_22_29 | all_22_30 = all_22_31) & ((all_22_3 = e22 & ~ % 62.13/9.55 | (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ (all_22_11 = e23) & % 62.13/9.55 | ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) | (all_22_5 = e21 & % 62.13/9.55 | ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ (all_22_17 = e21) & % 62.13/9.55 | ~ (all_22_21 = e23) & ~ (all_22_25 = e20)) | (all_22_7 = e20 & % 62.13/9.55 | ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ (all_22_17 = e21) & % 62.13/9.55 | ~ (all_22_25 = e20) & ~ (all_22_31 = e23)) | (all_22_9 = e23 & % 62.13/9.55 | ~ (all_22_1 = e22) & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & % 62.13/9.55 | ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) | (all_22_13 = e21 & % 62.13/9.55 | ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ (all_22_19 = e21) % 62.13/9.55 | & ~ (all_22_21 = e22) & ~ (all_22_27 = e20)) | (all_22_15 = e20 % 62.13/9.55 | & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ (all_22_19 = % 62.13/9.55 | e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22)) | % 62.13/9.56 | (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) & ~ % 62.13/9.56 | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) % 62.13/9.56 | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & % 62.13/9.56 | ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = % 62.13/9.56 | e20)) | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 % 62.13/9.56 | = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ % 62.13/9.56 | (all_22_31 = e21)) | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 62.13/9.56 | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ (all_22_23 = e21) & % 62.13/9.56 | ~ (all_22_31 = e20)) | (all_22_27 = e22 & ~ (all_22_7 = e23) & % 62.13/9.56 | ~ (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ (all_22_23 = e21) % 62.13/9.56 | & ~ (all_22_31 = e20)) | (all_22_29 = e21 & ~ (all_22_7 = e23) % 62.13/9.56 | & ~ (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ (all_22_23 = % 62.13/9.56 | e21) & ~ (all_22_31 = e20))) % 62.13/9.56 | % 62.13/9.56 | ALPHA: (278) implies: % 62.13/9.56 | (279) op2(e20, e20) = all_22_31 % 62.13/9.56 | (280) op2(e20, e21) = all_22_23 % 62.13/9.56 | (281) op2(e20, e22) = all_22_15 % 62.13/9.56 | (282) op2(e20, e23) = all_22_7 % 62.13/9.56 | (283) op2(e21, e20) = all_22_29 % 62.13/9.56 | (284) op2(e21, e21) = all_22_21 % 62.13/9.56 | (285) op2(e21, e22) = all_22_13 % 62.13/9.56 | (286) op2(e21, e23) = all_22_5 % 62.13/9.56 | (287) op2(e22, e20) = all_22_27 % 62.13/9.56 | (288) op2(e22, e21) = all_22_19 % 62.13/9.56 | (289) op2(e22, e22) = all_22_11 % 62.13/9.56 | (290) op2(e22, e23) = all_22_3 % 62.13/9.56 | (291) op2(e23, e20) = all_22_25 % 62.13/9.56 | (292) op2(e23, e21) = all_22_17 % 62.13/9.56 | (293) op2(e23, e22) = all_22_9 % 62.13/9.56 | (294) op2(e23, e23) = all_22_1 % 62.13/9.56 | (295) op2(all_22_31, e20) = all_22_30 % 62.13/9.56 | (296) op2(all_22_29, e21) = all_22_28 % 62.13/9.56 | (297) op2(all_22_27, e22) = all_22_26 % 62.13/9.56 | (298) op2(all_22_25, e23) = all_22_24 % 62.13/9.56 | (299) op2(all_22_17, e23) = all_22_16 % 62.13/9.56 | (300) op2(all_22_15, e20) = all_22_14 % 62.13/9.56 | (301) op2(all_22_13, e21) = all_22_12 % 62.13/9.56 | (302) op2(all_22_11, e22) = all_22_10 % 62.13/9.56 | (303) op2(all_22_9, e23) = all_22_8 % 62.13/9.56 | (304) op2(all_22_7, e20) = all_22_6 % 62.13/9.56 | (305) op2(all_22_5, e21) = all_22_4 % 62.13/9.56 | (306) op2(all_22_3, e22) = all_22_2 % 62.13/9.56 | (307) op2(all_22_1, e23) = all_22_0 % 62.13/9.56 | (308) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 62.13/9.56 | (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 62.13/9.56 | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 62.13/9.56 | (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 62.13/9.56 | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 62.13/9.56 | (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 62.13/9.56 | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_3 = e23) & ~ % 62.13/9.56 | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 62.13/9.56 | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 62.13/9.56 | (all_22_19 = e21) & ~ (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 62.13/9.56 | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 62.13/9.56 | (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22)) | % 62.13/9.56 | (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) & ~ % 62.13/9.56 | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 62.13/9.56 | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & ~ % 62.13/9.56 | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 62.13/9.56 | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 62.13/9.56 | (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 62.13/9.56 | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = e23) & ~ % 62.13/9.56 | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 62.13/9.56 | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ % 62.13/9.56 | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 62.13/9.56 | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 62.13/9.56 | (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) % 62.13/9.56 | (309) all_22_24 = all_22_25 | all_22_26 = all_22_27 | all_22_28 = all_22_29 % 62.13/9.56 | | all_22_30 = all_22_31 % 62.13/9.56 | (310) all_22_8 = all_22_9 | all_22_10 = all_22_11 | all_22_12 = all_22_13 | % 62.13/9.56 | all_22_14 = all_22_15 % 62.13/9.56 | (311) all_22_0 = all_22_1 | all_22_2 = all_22_3 | all_22_4 = all_22_5 | % 62.13/9.56 | all_22_6 = all_22_7 % 62.13/9.56 | % 62.13/9.56 | DELTA: instantiating (2) with fresh symbols all_24_0, all_24_1, all_24_2, % 62.13/9.56 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9, % 62.13/9.56 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives: % 62.13/9.56 | (312) op1(e13, e13) = all_24_0 & op1(e13, e12) = all_24_1 & op1(e13, e11) = % 62.13/9.56 | all_24_4 & op1(e13, e10) = all_24_9 & op1(e12, e13) = all_24_2 & % 62.13/9.56 | op1(e12, e12) = all_24_3 & op1(e12, e11) = all_24_5 & op1(e12, e10) = % 62.13/9.56 | all_24_10 & op1(e11, e13) = all_24_6 & op1(e11, e12) = all_24_7 & % 62.13/9.56 | op1(e11, e11) = all_24_8 & op1(e11, e10) = all_24_11 & op1(e10, e13) % 62.13/9.56 | = all_24_12 & op1(e10, e12) = all_24_13 & op1(e10, e11) = all_24_14 & % 62.13/9.56 | op1(e10, e10) = all_24_15 & $i(all_24_0) & $i(all_24_1) & % 62.13/9.56 | $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) & % 62.13/9.56 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) & % 62.13/9.56 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) & % 62.13/9.56 | $i(all_24_14) & $i(all_24_15) & (all_24_0 = e13 | all_24_1 = e13 | % 62.13/9.56 | all_24_4 = e13 | all_24_9 = e13) & (all_24_0 = e13 | all_24_2 = e13 % 62.13/9.56 | | all_24_6 = e13 | all_24_12 = e13) & (all_24_0 = e12 | all_24_1 = % 62.13/9.56 | e12 | all_24_4 = e12 | all_24_9 = e12) & (all_24_0 = e12 | all_24_2 % 62.13/9.56 | = e12 | all_24_6 = e12 | all_24_12 = e12) & (all_24_0 = e11 | % 62.13/9.56 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11) & (all_24_0 = e11 % 62.13/9.56 | | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11) & (all_24_0 = % 62.13/9.56 | e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10) & (all_24_0 % 62.13/9.57 | = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10) & % 62.13/9.57 | (all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13) % 62.13/9.57 | & (all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = % 62.13/9.57 | e12) & (all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 | % 62.13/9.57 | all_24_13 = e11) & (all_24_1 = e10 | all_24_3 = e10 | all_24_7 = % 62.13/9.57 | e10 | all_24_13 = e10) & (all_24_2 = e13 | all_24_3 = e13 | % 62.13/9.57 | all_24_5 = e13 | all_24_10 = e13) & (all_24_2 = e12 | all_24_3 = % 62.13/9.57 | e12 | all_24_5 = e12 | all_24_10 = e12) & (all_24_2 = e11 | % 62.13/9.57 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11) & (all_24_2 = % 62.13/9.57 | e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10) & % 62.13/9.57 | (all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13) % 62.13/9.57 | & (all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 = % 62.13/9.57 | e12) & (all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | % 62.13/9.57 | all_24_14 = e11) & (all_24_4 = e10 | all_24_5 = e10 | all_24_8 = % 62.13/9.57 | e10 | all_24_14 = e10) & (all_24_6 = e13 | all_24_7 = e13 | % 62.13/9.57 | all_24_8 = e13 | all_24_11 = e13) & (all_24_6 = e12 | all_24_7 = % 62.13/9.57 | e12 | all_24_8 = e12 | all_24_11 = e12) & (all_24_6 = e11 | % 62.13/9.57 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11) & (all_24_6 = % 62.13/9.57 | e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10) & % 62.13/9.57 | (all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 = % 62.13/9.57 | e13) & (all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 | % 62.13/9.57 | all_24_15 = e12) & (all_24_9 = e11 | all_24_10 = e11 | all_24_11 = % 62.13/9.57 | e11 | all_24_15 = e11) & (all_24_12 = e13 | all_24_13 = e13 | % 62.13/9.57 | all_24_14 = e13 | all_24_15 = e13) & (all_24_12 = e12 | all_24_13 = % 62.13/9.57 | e12 | all_24_14 = e12 | all_24_15 = e12) & (all_24_12 = e11 | % 62.13/9.57 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11) & (all_24_15 = % 62.13/9.57 | e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) & % 62.13/9.57 | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10))) % 62.13/9.57 | % 62.13/9.57 | ALPHA: (312) implies: % 62.13/9.57 | (313) op1(e10, e10) = all_24_15 % 62.13/9.57 | (314) op1(e10, e11) = all_24_14 % 62.13/9.57 | (315) op1(e10, e12) = all_24_13 % 62.13/9.57 | (316) op1(e10, e13) = all_24_12 % 62.13/9.57 | (317) op1(e11, e10) = all_24_11 % 62.13/9.57 | (318) op1(e11, e11) = all_24_8 % 62.13/9.57 | (319) op1(e11, e12) = all_24_7 % 62.13/9.57 | (320) op1(e11, e13) = all_24_6 % 62.13/9.57 | (321) op1(e12, e10) = all_24_10 % 62.13/9.57 | (322) op1(e12, e11) = all_24_5 % 62.13/9.57 | (323) op1(e12, e12) = all_24_3 % 62.13/9.57 | (324) op1(e12, e13) = all_24_2 % 62.13/9.57 | (325) op1(e13, e10) = all_24_9 % 62.13/9.57 | (326) op1(e13, e11) = all_24_4 % 62.13/9.57 | (327) op1(e13, e12) = all_24_1 % 62.13/9.57 | (328) op1(e13, e13) = all_24_0 % 62.13/9.57 | (329) all_24_15 = e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = % 62.13/9.57 | e10) & (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10)) % 62.13/9.57 | (330) all_24_12 = e11 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11 % 62.13/9.57 | (331) all_24_12 = e12 | all_24_13 = e12 | all_24_14 = e12 | all_24_15 = e12 % 62.13/9.57 | (332) all_24_12 = e13 | all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 62.13/9.57 | (333) all_24_9 = e11 | all_24_10 = e11 | all_24_11 = e11 | all_24_15 = e11 % 62.13/9.57 | (334) all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12 % 62.13/9.57 | (335) all_24_6 = e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10 % 62.13/9.57 | (336) all_24_6 = e12 | all_24_7 = e12 | all_24_8 = e12 | all_24_11 = e12 % 62.13/9.57 | (337) all_24_6 = e13 | all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13 % 62.13/9.57 | (338) all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11 % 62.13/9.57 | (339) all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13 % 62.13/9.57 | (340) all_24_2 = e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10 % 62.13/9.57 | (341) all_24_2 = e11 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11 % 62.13/9.57 | (342) all_24_2 = e12 | all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12 % 62.13/9.57 | (343) all_24_2 = e13 | all_24_3 = e13 | all_24_5 = e13 | all_24_10 = e13 % 62.13/9.57 | (344) all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11 % 62.13/9.57 | (345) all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12 % 62.13/9.57 | (346) all_24_0 = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10 % 62.13/9.57 | % 62.13/9.57 | DELTA: instantiating (4) with fresh symbols all_26_0, all_26_1, all_26_2, % 62.13/9.57 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9, % 62.13/9.57 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives: % 62.13/9.57 | (347) op2(e23, e23) = all_26_0 & op2(e23, e22) = all_26_1 & op2(e23, e21) = % 62.13/9.57 | all_26_4 & op2(e23, e20) = all_26_9 & op2(e22, e23) = all_26_2 & % 62.13/9.57 | op2(e22, e22) = all_26_3 & op2(e22, e21) = all_26_5 & op2(e22, e20) = % 62.13/9.57 | all_26_10 & op2(e21, e23) = all_26_6 & op2(e21, e22) = all_26_7 & % 62.13/9.57 | op2(e21, e21) = all_26_8 & op2(e21, e20) = all_26_11 & op2(e20, e23) % 62.13/9.57 | = all_26_12 & op2(e20, e22) = all_26_13 & op2(e20, e21) = all_26_14 & % 62.13/9.57 | op2(e20, e20) = all_26_15 & $i(all_26_0) & $i(all_26_1) & % 62.13/9.57 | $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) & % 62.13/9.57 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) & % 62.13/9.57 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) & % 62.13/9.57 | $i(all_26_14) & $i(all_26_15) & (all_26_0 = e23 | all_26_1 = e23 | % 62.13/9.57 | all_26_4 = e23 | all_26_9 = e23) & (all_26_0 = e23 | all_26_2 = e23 % 62.13/9.57 | | all_26_6 = e23 | all_26_12 = e23) & (all_26_0 = e22 | all_26_1 = % 62.13/9.57 | e22 | all_26_4 = e22 | all_26_9 = e22) & (all_26_0 = e22 | all_26_2 % 62.13/9.57 | = e22 | all_26_6 = e22 | all_26_12 = e22) & (all_26_0 = e21 | % 62.13/9.57 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21) & (all_26_0 = e21 % 62.13/9.57 | | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21) & (all_26_0 = % 62.13/9.57 | e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20) & (all_26_0 % 62.13/9.57 | = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20) & % 62.13/9.57 | (all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23) % 62.13/9.57 | & (all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = % 62.13/9.57 | e22) & (all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | % 62.13/9.57 | all_26_13 = e21) & (all_26_1 = e20 | all_26_3 = e20 | all_26_7 = % 62.13/9.57 | e20 | all_26_13 = e20) & (all_26_2 = e23 | all_26_3 = e23 | % 62.13/9.57 | all_26_5 = e23 | all_26_10 = e23) & (all_26_2 = e22 | all_26_3 = % 62.13/9.57 | e22 | all_26_5 = e22 | all_26_10 = e22) & (all_26_2 = e21 | % 62.13/9.57 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21) & (all_26_2 = % 62.13/9.57 | e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20) & % 62.13/9.57 | (all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23) % 62.13/9.57 | & (all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 = % 62.13/9.57 | e22) & (all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | % 62.13/9.57 | all_26_14 = e21) & (all_26_4 = e20 | all_26_5 = e20 | all_26_8 = % 62.13/9.57 | e20 | all_26_14 = e20) & (all_26_6 = e23 | all_26_7 = e23 | % 62.13/9.57 | all_26_8 = e23 | all_26_11 = e23) & (all_26_6 = e22 | all_26_7 = % 62.13/9.57 | e22 | all_26_8 = e22 | all_26_11 = e22) & (all_26_6 = e21 | % 62.13/9.57 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21) & (all_26_6 = % 62.13/9.57 | e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20) & % 62.13/9.57 | (all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 = % 62.13/9.57 | e23) & (all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | % 62.13/9.57 | all_26_15 = e22) & (all_26_9 = e21 | all_26_10 = e21 | all_26_11 = % 62.13/9.57 | e21 | all_26_15 = e21) & (all_26_12 = e23 | all_26_13 = e23 | % 62.13/9.57 | all_26_14 = e23 | all_26_15 = e23) & (all_26_12 = e22 | all_26_13 = % 62.13/9.57 | e22 | all_26_14 = e22 | all_26_15 = e22) & (all_26_12 = e21 | % 62.13/9.57 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21) & (all_26_15 = % 62.13/9.57 | e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) & % 62.13/9.57 | (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))) % 62.13/9.57 | % 62.13/9.57 | ALPHA: (347) implies: % 62.13/9.58 | (348) op2(e20, e20) = all_26_15 % 62.13/9.58 | (349) op2(e20, e21) = all_26_14 % 62.13/9.58 | (350) op2(e20, e22) = all_26_13 % 62.13/9.58 | (351) op2(e20, e23) = all_26_12 % 62.13/9.58 | (352) op2(e21, e20) = all_26_11 % 62.13/9.58 | (353) op2(e21, e21) = all_26_8 % 62.13/9.58 | (354) op2(e21, e22) = all_26_7 % 62.13/9.58 | (355) op2(e21, e23) = all_26_6 % 62.13/9.58 | (356) op2(e22, e20) = all_26_10 % 62.13/9.58 | (357) op2(e22, e21) = all_26_5 % 62.13/9.58 | (358) op2(e22, e22) = all_26_3 % 62.13/9.58 | (359) op2(e22, e23) = all_26_2 % 62.13/9.58 | (360) op2(e23, e20) = all_26_9 % 62.13/9.58 | (361) op2(e23, e21) = all_26_4 % 62.13/9.58 | (362) op2(e23, e22) = all_26_1 % 62.13/9.58 | (363) op2(e23, e23) = all_26_0 % 62.13/9.58 | (364) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 62.13/9.58 | e20) & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20)) % 62.13/9.58 | (365) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21 % 62.13/9.58 | (366) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22 % 62.13/9.58 | (367) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23 % 62.13/9.58 | (368) all_26_9 = e21 | all_26_10 = e21 | all_26_11 = e21 | all_26_15 = e21 % 62.13/9.58 | (369) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22 % 62.13/9.58 | (370) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20 % 62.13/9.58 | (371) all_26_6 = e23 | all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23 % 62.13/9.58 | (372) all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21 % 62.13/9.58 | (373) all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23 % 62.13/9.58 | (374) all_26_2 = e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20 % 62.13/9.58 | (375) all_26_2 = e21 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21 % 62.13/9.58 | (376) all_26_2 = e23 | all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23 % 62.13/9.58 | (377) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 62.13/9.58 | (378) all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23 % 62.13/9.58 | (379) all_26_0 = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20 % 62.13/9.58 | (380) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 62.13/9.58 | (381) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23 % 62.13/9.58 | (382) all_26_0 = e23 | all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 62.13/9.58 | % 62.13/9.58 | DELTA: instantiating (22) with fresh symbols all_28_0, all_28_1, all_28_2, % 62.13/9.58 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9, % 62.13/9.58 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15, % 62.13/9.58 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21, % 62.13/9.58 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27, % 62.13/9.58 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33, % 62.13/9.58 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39, % 62.13/9.58 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45, % 62.13/9.58 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51, % 62.13/9.58 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57, % 62.13/9.58 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63, % 62.13/9.58 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69, % 62.13/9.58 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75, % 62.13/9.58 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81, % 62.13/9.58 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87, % 62.13/9.58 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93, % 62.13/9.58 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99, % 62.13/9.58 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105, % 62.13/9.58 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111, % 62.13/9.58 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117, % 62.13/9.58 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123, % 62.13/9.58 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129, % 62.13/9.58 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135, % 62.13/9.58 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141, % 62.13/9.58 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147, % 62.13/9.58 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153, % 62.13/9.58 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159 % 62.13/9.58 | gives: % 62.13/9.59 | (383) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 & % 62.13/9.59 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 & % 62.13/9.59 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 & % 62.13/9.59 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 & % 62.13/9.59 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 & % 62.13/9.59 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 & % 62.13/9.59 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 & % 62.13/9.59 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) = % 62.13/9.59 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) = % 62.13/9.59 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 & % 62.13/9.59 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 & % 62.13/9.59 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 & % 62.13/9.59 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 & % 62.13/9.59 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 & % 62.13/9.59 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 & % 62.13/9.59 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 & % 62.13/9.59 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) = % 62.13/9.59 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) = % 62.13/9.59 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 & % 62.13/9.59 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 & % 62.13/9.59 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 & % 62.13/9.59 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 & % 62.13/9.59 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 & % 62.13/9.59 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 & % 62.13/9.59 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 & % 62.13/9.59 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) = % 62.13/9.59 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) = % 62.13/9.59 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) = % 62.13/9.59 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) = % 62.13/9.59 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) = % 62.13/9.59 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) = % 62.13/9.59 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) = % 62.13/9.59 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) = % 62.13/9.59 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) = % 62.13/9.59 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) = % 62.13/9.59 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) = % 62.13/9.59 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) = % 62.13/9.59 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25, % 62.13/9.59 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 & % 62.13/9.59 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) = % 62.13/9.59 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28, % 62.13/9.59 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 & % 62.13/9.59 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) = % 62.13/9.59 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34, % 62.13/9.59 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 & % 62.13/9.59 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) = % 62.13/9.59 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61, % 62.13/9.59 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 & % 62.13/9.59 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) = % 62.13/9.59 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64, % 62.13/9.59 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 & % 62.13/9.59 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) = % 62.13/9.59 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67, % 62.13/9.59 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 & % 62.13/9.59 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) = % 62.13/9.59 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97, % 62.13/9.59 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 & % 62.13/9.59 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) = % 62.13/9.59 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100, % 62.13/9.59 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 & % 62.13/9.59 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97) % 62.13/9.59 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 & % 62.13/9.59 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106) % 62.13/9.59 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 & % 62.13/9.59 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103) % 62.13/9.59 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 & % 62.13/9.59 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145, % 62.13/9.59 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114 % 62.13/9.59 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149, % 62.13/9.59 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123 % 62.13/9.59 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149, % 62.13/9.59 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132 % 62.13/9.59 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153, % 62.13/9.59 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141 % 62.13/9.59 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157, % 62.13/9.59 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152 % 62.13/9.59 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) = % 62.13/9.59 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116 % 62.13/9.59 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12, % 62.13/9.59 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) = % 62.13/9.59 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137 % 62.13/9.59 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10, % 62.13/9.59 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) = % 62.13/9.59 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1) % 62.13/9.59 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) & % 62.13/9.59 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) & % 62.13/9.59 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) & % 62.13/9.59 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) & % 62.13/9.59 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) & % 62.13/9.59 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) & % 62.13/9.59 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) & % 62.13/9.59 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) & % 62.13/9.59 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) & % 62.13/9.59 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) & % 62.13/9.59 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) & % 62.13/9.59 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) & % 62.13/9.59 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) & % 62.13/9.59 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) & % 62.13/9.59 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) & % 62.13/9.59 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) & % 62.13/9.59 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) & % 62.13/9.59 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) & % 62.13/9.59 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) & % 62.13/9.59 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) & % 62.13/9.59 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) & % 62.13/9.59 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) & % 62.13/9.59 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) & % 62.13/9.59 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) & % 62.13/9.59 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) & % 62.13/9.59 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) & % 62.13/9.59 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) & % 62.13/9.59 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) & % 62.13/9.59 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) & % 62.13/9.59 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) & % 62.13/9.59 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) & % 62.13/9.59 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) & % 62.13/9.59 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) & % 62.13/9.59 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) & % 62.13/9.59 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) & % 62.13/9.59 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) & % 62.13/9.59 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) & % 62.13/9.59 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) & % 62.13/9.59 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) & % 62.13/9.59 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~ % 62.13/9.59 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 = % 62.13/9.59 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) % 62.13/9.59 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 62.13/9.59 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 62.13/9.59 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 62.13/9.59 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 62.13/9.59 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 62.13/9.59 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & % 62.13/9.59 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 = % 62.13/9.59 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 62.13/9.59 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) & % 62.13/9.59 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = % 62.13/9.59 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~ % 62.13/9.59 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~ % 62.13/9.59 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ % 62.13/9.59 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~ % 62.13/9.59 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~ % 62.13/9.59 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~ % 62.13/9.59 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~ % 62.13/9.59 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~ % 62.13/9.59 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ % 62.13/9.59 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & % 62.13/9.59 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 = % 62.13/9.59 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~ % 62.13/9.59 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) & % 62.13/9.59 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 = % 62.13/9.59 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~ % 62.13/9.59 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~ % 62.13/9.59 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ % 62.13/9.59 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~ % 62.13/9.59 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 62.13/9.59 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 62.13/9.59 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 62.13/9.59 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 62.13/9.59 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 62.13/9.59 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 62.13/9.59 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 % 62.13/9.59 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ % 62.13/9.59 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 62.13/9.59 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 % 62.13/9.59 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~ % 62.13/9.59 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~ % 62.13/9.59 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 62.13/9.59 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 62.13/9.59 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 62.13/9.59 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 62.13/9.59 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 62.13/9.59 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 62.13/9.59 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 62.13/9.59 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = % 62.13/9.59 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 62.13/9.59 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = % 62.13/9.59 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 62.13/9.59 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = % 62.13/9.59 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 62.13/9.59 | (all_28_157 = e20))) % 62.13/9.59 | % 62.13/9.59 | ALPHA: (383) implies: % 62.13/9.59 | (384) op1(e10, e10) = all_28_159 % 62.13/9.59 | (385) op1(e10, e11) = all_28_155 % 62.13/9.59 | (386) op1(e10, e12) = all_28_151 % 62.13/9.59 | (387) op1(e10, e13) = all_28_147 % 62.13/9.59 | (388) op1(e11, e10) = all_28_143 % 62.13/9.59 | (389) op1(e11, e11) = all_28_140 % 62.13/9.59 | (390) op1(e11, e12) = all_28_137 % 62.13/9.59 | (391) op1(e11, e13) = all_28_134 % 62.13/9.59 | (392) op1(e12, e10) = all_28_131 % 62.13/9.59 | (393) op1(e12, e11) = all_28_128 % 62.13/9.59 | (394) op1(e12, e12) = all_28_125 % 62.13/9.59 | (395) op1(e12, e13) = all_28_122 % 62.13/9.59 | (396) op1(e13, e10) = all_28_119 % 62.13/9.59 | (397) op1(e13, e11) = all_28_116 % 62.13/9.59 | (398) op1(e13, e12) = all_28_113 % 62.13/9.59 | (399) op1(e13, e13) = all_28_110 % 62.13/9.59 | (400) op2(all_28_153, all_28_153) = all_28_138 % 62.13/9.59 | (401) op2(all_28_153, all_28_145) = all_28_132 % 62.13/9.59 | (402) op2(all_28_145, all_28_145) = all_28_108 % 62.13/9.59 | (403) op2(all_28_103, all_28_103) = all_28_92 % 62.13/9.59 | (404) op2(all_28_100, all_28_97) = all_28_80 % 62.13/9.59 | (405) op2(all_28_97, all_28_103) = all_28_76 % 62.13/9.59 | (406) op2(all_28_97, all_28_97) = all_28_72 % 62.13/9.60 | (407) op2(all_28_67, all_28_61) = all_28_52 % 62.13/9.60 | (408) op2(all_28_64, all_28_64) = all_28_46 % 62.13/9.60 | (409) op2(all_28_64, all_28_61) = all_28_44 % 62.13/9.60 | (410) op2(all_28_61, all_28_67) = all_28_40 % 62.13/9.60 | (411) op2(all_28_61, all_28_61) = all_28_36 % 62.13/9.60 | (412) op2(all_28_34, all_28_34) = all_28_33 % 62.13/9.60 | (413) op2(all_28_34, all_28_31) = all_28_30 % 62.13/9.60 | (414) op2(all_28_34, all_28_28) = all_28_27 % 62.13/9.60 | (415) op2(all_28_34, all_28_25) = all_28_24 % 62.13/9.60 | (416) op2(all_28_31, all_28_34) = all_28_22 % 62.13/9.60 | (417) op2(all_28_31, all_28_31) = all_28_20 % 62.13/9.60 | (418) op2(all_28_31, all_28_28) = all_28_18 % 62.13/9.60 | (419) op2(all_28_31, all_28_25) = all_28_16 % 62.13/9.60 | (420) op2(all_28_28, all_28_34) = all_28_14 % 62.13/9.60 | (421) op2(all_28_28, all_28_31) = all_28_12 % 62.13/9.60 | (422) op2(all_28_28, all_28_28) = all_28_10 % 62.13/9.60 | (423) op2(all_28_28, all_28_25) = all_28_8 % 62.13/9.60 | (424) op2(all_28_25, all_28_34) = all_28_6 % 62.13/9.60 | (425) op2(all_28_25, all_28_31) = all_28_4 % 62.13/9.60 | (426) op2(all_28_25, all_28_28) = all_28_2 % 62.13/9.60 | (427) op2(all_28_25, all_28_25) = all_28_0 % 62.13/9.60 | (428) h1(e11) = all_28_153 % 62.13/9.60 | (429) h1(e13) = all_28_145 % 62.13/9.60 | (430) h2(e11) = all_28_103 % 62.13/9.60 | (431) h2(e12) = all_28_100 % 62.13/9.60 | (432) h2(e13) = all_28_97 % 62.13/9.60 | (433) h3(e11) = all_28_67 % 62.13/9.60 | (434) h3(e12) = all_28_64 % 62.13/9.60 | (435) h3(e13) = all_28_61 % 62.13/9.60 | (436) h4(e10) = all_28_34 % 62.13/9.60 | (437) h4(e11) = all_28_31 % 62.13/9.60 | (438) h4(e12) = all_28_28 % 62.13/9.60 | (439) h4(e13) = all_28_25 % 62.13/9.60 | (440) h4(all_28_159) = all_28_35 % 62.13/9.60 | (441) h4(all_28_155) = all_28_32 % 62.13/9.60 | (442) h4(all_28_151) = all_28_29 % 62.13/9.60 | (443) h4(all_28_147) = all_28_26 % 62.13/9.60 | (444) h4(all_28_143) = all_28_23 % 62.13/9.60 | (445) h4(all_28_140) = all_28_21 % 62.13/9.60 | (446) h4(all_28_137) = all_28_19 % 62.13/9.60 | (447) h4(all_28_134) = all_28_17 % 62.13/9.60 | (448) h4(all_28_131) = all_28_15 % 62.13/9.60 | (449) h4(all_28_128) = all_28_13 % 62.13/9.60 | (450) h4(all_28_125) = all_28_11 % 62.13/9.60 | (451) h4(all_28_122) = all_28_9 % 62.13/9.60 | (452) h4(all_28_119) = all_28_7 % 62.13/9.60 | (453) h4(all_28_116) = all_28_5 % 62.13/9.60 | (454) h4(all_28_113) = all_28_3 % 62.13/9.60 | (455) h4(all_28_110) = all_28_1 % 62.13/9.60 | (456) ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3) | ~ (all_28_4 = % 62.13/9.60 | all_28_5) | ~ (all_28_6 = all_28_7) | ~ (all_28_8 = all_28_9) | % 62.13/9.60 | ~ (all_28_10 = all_28_11) | ~ (all_28_12 = all_28_13) | ~ % 62.13/9.60 | (all_28_14 = all_28_15) | ~ (all_28_16 = all_28_17) | ~ (all_28_18 % 62.13/9.60 | = all_28_19) | ~ (all_28_20 = all_28_21) | ~ (all_28_22 = % 62.13/9.60 | all_28_23) | ~ (all_28_24 = all_28_26) | ~ (all_28_27 = % 62.13/9.60 | all_28_29) | ~ (all_28_30 = all_28_32) | ~ (all_28_33 = % 62.13/9.60 | all_28_35) | ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 62.13/9.60 | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & % 62.13/9.60 | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) % 62.13/9.60 | | ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) % 62.13/9.60 | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = % 62.13/9.60 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20)) % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_16_15, all_24_15, e10, e10, % 62.13/9.60 | simplifying with (183), (313) gives: % 62.13/9.60 | (457) all_24_15 = all_16_15 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_12_15, all_24_15, e10, e10, % 62.13/9.60 | simplifying with (102), (313) gives: % 62.13/9.60 | (458) all_24_15 = all_12_15 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_24_15, all_28_159, e10, e10, % 62.13/9.60 | simplifying with (313), (384) gives: % 62.13/9.60 | (459) all_28_159 = all_24_15 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_20_31, all_28_159, e10, e10, % 62.13/9.60 | simplifying with (241), (384) gives: % 62.13/9.60 | (460) all_28_159 = all_20_31 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_20_23, all_24_14, e11, e10, % 62.13/9.60 | simplifying with (242), (314) gives: % 62.13/9.60 | (461) all_24_14 = all_20_23 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_16_14, all_24_14, e11, e10, % 62.13/9.60 | simplifying with (184), (314) gives: % 62.13/9.60 | (462) all_24_14 = all_16_14 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_24_14, all_28_155, e11, e10, % 62.13/9.60 | simplifying with (314), (385) gives: % 62.13/9.60 | (463) all_28_155 = all_24_14 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_12_11, all_28_155, e11, e10, % 62.13/9.60 | simplifying with (103), (385) gives: % 62.13/9.60 | (464) all_28_155 = all_12_11 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_16_13, all_24_13, e12, e10, % 62.13/9.60 | simplifying with (185), (315) gives: % 62.13/9.60 | (465) all_24_13 = all_16_13 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_12_7, all_24_13, e12, e10, % 62.13/9.60 | simplifying with (104), (315) gives: % 62.13/9.60 | (466) all_24_13 = all_12_7 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_24_13, all_28_151, e12, e10, % 62.13/9.60 | simplifying with (315), (386) gives: % 62.13/9.60 | (467) all_28_151 = all_24_13 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_20_15, all_28_151, e12, e10, % 62.13/9.60 | simplifying with (243), (386) gives: % 62.13/9.60 | (468) all_28_151 = all_20_15 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_20_7, all_24_12, e13, e10, % 62.13/9.60 | simplifying with (244), (316) gives: % 62.13/9.60 | (469) all_24_12 = all_20_7 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_16_12, all_24_12, e13, e10, % 62.13/9.60 | simplifying with (186), (316) gives: % 62.13/9.60 | (470) all_24_12 = all_16_12 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_24_12, all_28_147, e13, e10, % 62.13/9.60 | simplifying with (316), (387) gives: % 62.13/9.60 | (471) all_28_147 = all_24_12 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_12_3, all_28_147, e13, e10, % 62.13/9.60 | simplifying with (105), (387) gives: % 62.13/9.60 | (472) all_28_147 = all_12_3 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_16_11, all_20_29, e10, e11, % 62.13/9.60 | simplifying with (187), (245) gives: % 62.13/9.60 | (473) all_20_29 = all_16_11 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_24_11, all_28_143, e10, e11, % 62.13/9.60 | simplifying with (317), (388) gives: % 62.13/9.60 | (474) all_28_143 = all_24_11 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_20_29, all_28_143, e10, e11, % 62.13/9.60 | simplifying with (245), (388) gives: % 62.13/9.60 | (475) all_28_143 = all_20_29 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_12_14, all_28_143, e10, e11, % 62.13/9.60 | simplifying with (106), (388) gives: % 62.13/9.60 | (476) all_28_143 = all_12_14 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_12_10, all_20_21, e11, e11, % 62.13/9.60 | simplifying with (107), (246) gives: % 62.13/9.60 | (477) all_20_21 = all_12_10 % 62.13/9.60 | % 62.13/9.60 | GROUND_INST: instantiating (27) with all_24_8, all_28_140, e11, e11, % 62.13/9.60 | simplifying with (318), (389) gives: % 62.13/9.61 | (478) all_28_140 = all_24_8 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_21, all_28_140, e11, e11, % 62.13/9.61 | simplifying with (246), (389) gives: % 62.13/9.61 | (479) all_28_140 = all_20_21 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_10, all_28_140, e11, e11, % 62.13/9.61 | simplifying with (188), (389) gives: % 62.13/9.61 | (480) all_28_140 = all_16_10 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_9, all_20_13, e12, e11, % 62.13/9.61 | simplifying with (189), (247) gives: % 62.13/9.61 | (481) all_20_13 = all_16_9 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_7, all_28_137, e12, e11, % 62.13/9.61 | simplifying with (319), (390) gives: % 62.13/9.61 | (482) all_28_137 = all_24_7 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_13, all_28_137, e12, e11, % 62.13/9.61 | simplifying with (247), (390) gives: % 62.13/9.61 | (483) all_28_137 = all_20_13 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_6, all_28_137, e12, e11, % 62.13/9.61 | simplifying with (108), (390) gives: % 62.13/9.61 | (484) all_28_137 = all_12_6 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_8, all_20_5, e13, e11, simplifying % 62.13/9.61 | with (190), (248) gives: % 62.13/9.61 | (485) all_20_5 = all_16_8 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_5, all_24_6, e13, e11, simplifying % 62.13/9.61 | with (248), (320) gives: % 62.13/9.61 | (486) all_24_6 = all_20_5 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_6, all_28_134, e13, e11, % 62.13/9.61 | simplifying with (320), (391) gives: % 62.13/9.61 | (487) all_28_134 = all_24_6 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_2, all_28_134, e13, e11, % 62.13/9.61 | simplifying with (109), (391) gives: % 62.13/9.61 | (488) all_28_134 = all_12_2 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_27, all_24_10, e10, e12, % 62.13/9.61 | simplifying with (249), (321) gives: % 62.13/9.61 | (489) all_24_10 = all_20_27 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_7, all_24_10, e10, e12, % 62.13/9.61 | simplifying with (191), (321) gives: % 62.13/9.61 | (490) all_24_10 = all_16_7 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_10, all_28_131, e10, e12, % 62.13/9.61 | simplifying with (321), (392) gives: % 62.13/9.61 | (491) all_28_131 = all_24_10 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_13, all_28_131, e10, e12, % 62.13/9.61 | simplifying with (110), (392) gives: % 62.13/9.61 | (492) all_28_131 = all_12_13 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_6, all_20_19, e11, e12, % 62.13/9.61 | simplifying with (192), (250) gives: % 62.13/9.61 | (493) all_20_19 = all_16_6 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_19, all_24_5, e11, e12, % 62.13/9.61 | simplifying with (250), (322) gives: % 62.13/9.61 | (494) all_24_5 = all_20_19 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_5, all_28_128, e11, e12, % 62.13/9.61 | simplifying with (322), (393) gives: % 62.13/9.61 | (495) all_28_128 = all_24_5 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_9, all_28_128, e11, e12, % 62.13/9.61 | simplifying with (111), (393) gives: % 62.13/9.61 | (496) all_28_128 = all_12_9 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_5, all_24_3, e12, e12, simplifying % 62.13/9.61 | with (193), (323) gives: % 62.13/9.61 | (497) all_24_3 = all_16_5 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_5, all_24_3, e12, e12, simplifying % 62.13/9.61 | with (112), (323) gives: % 62.13/9.61 | (498) all_24_3 = all_12_5 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_3, all_28_125, e12, e12, % 62.13/9.61 | simplifying with (323), (394) gives: % 62.13/9.61 | (499) all_28_125 = all_24_3 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_11, all_28_125, e12, e12, % 62.13/9.61 | simplifying with (251), (394) gives: % 62.13/9.61 | (500) all_28_125 = all_20_11 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_1, all_20_3, e13, e12, simplifying % 62.13/9.61 | with (113), (252) gives: % 62.13/9.61 | (501) all_20_3 = all_12_1 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_3, all_24_2, e13, e12, simplifying % 62.13/9.61 | with (252), (324) gives: % 62.13/9.61 | (502) all_24_2 = all_20_3 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_2, all_28_122, e13, e12, % 62.13/9.61 | simplifying with (324), (395) gives: % 62.13/9.61 | (503) all_28_122 = all_24_2 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_4, all_28_122, e13, e12, % 62.13/9.61 | simplifying with (194), (395) gives: % 62.13/9.61 | (504) all_28_122 = all_16_4 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_12, all_20_25, e10, e13, % 62.13/9.61 | simplifying with (114), (253) gives: % 62.13/9.61 | (505) all_20_25 = all_12_12 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_25, all_24_9, e10, e13, % 62.13/9.61 | simplifying with (253), (325) gives: % 62.13/9.61 | (506) all_24_9 = all_20_25 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_9, all_28_119, e10, e13, % 62.13/9.61 | simplifying with (325), (396) gives: % 62.13/9.61 | (507) all_28_119 = all_24_9 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_3, all_28_119, e10, e13, % 62.13/9.61 | simplifying with (195), (396) gives: % 62.13/9.61 | (508) all_28_119 = all_16_3 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_2, all_20_17, e11, e13, % 62.13/9.61 | simplifying with (196), (254) gives: % 62.13/9.61 | (509) all_20_17 = all_16_2 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_8, all_20_17, e11, e13, % 62.13/9.61 | simplifying with (115), (254) gives: % 62.13/9.61 | (510) all_20_17 = all_12_8 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_2, all_24_4, e11, e13, simplifying % 62.13/9.61 | with (196), (326) gives: % 62.13/9.61 | (511) all_24_4 = all_16_2 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_4, all_28_116, e11, e13, % 62.13/9.61 | simplifying with (326), (397) gives: % 62.13/9.61 | (512) all_28_116 = all_24_4 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with e12, all_28_116, e11, e13, simplifying % 62.13/9.61 | with (12), (397) gives: % 62.13/9.61 | (513) all_28_116 = e12 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with e10, all_16_1, e12, e13, simplifying with % 62.13/9.61 | (13), (197) gives: % 62.13/9.61 | (514) all_16_1 = e10 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_1, all_24_1, e12, e13, simplifying % 62.13/9.61 | with (197), (327) gives: % 62.13/9.61 | (515) all_24_1 = all_16_1 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_4, all_24_1, e12, e13, simplifying % 62.13/9.61 | with (116), (327) gives: % 62.13/9.61 | (516) all_24_1 = all_12_4 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_24_1, all_28_113, e12, e13, % 62.13/9.61 | simplifying with (327), (398) gives: % 62.13/9.61 | (517) all_28_113 = all_24_1 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_9, all_28_113, e12, e13, % 62.13/9.61 | simplifying with (255), (398) gives: % 62.13/9.61 | (518) all_28_113 = all_20_9 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_1, all_24_0, e13, e13, simplifying % 62.13/9.61 | with (256), (328) gives: % 62.13/9.61 | (519) all_24_0 = all_20_1 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with e11, all_24_0, e13, e13, simplifying with % 62.13/9.61 | (14), (328) gives: % 62.13/9.61 | (520) all_24_0 = e11 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_20_1, all_28_110, e13, e13, % 62.13/9.61 | simplifying with (256), (399) gives: % 62.13/9.61 | (521) all_28_110 = all_20_1 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_16_0, all_28_110, e13, e13, % 62.13/9.61 | simplifying with (198), (399) gives: % 62.13/9.61 | (522) all_28_110 = all_16_0 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (27) with all_12_0, all_28_110, e13, e13, % 62.13/9.61 | simplifying with (117), (399) gives: % 62.13/9.61 | (523) all_28_110 = all_12_0 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (28) with all_10_1, all_18_15, e20, e20, % 62.13/9.61 | simplifying with (50), (212) gives: % 62.13/9.61 | (524) all_18_15 = all_10_1 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (28) with all_18_15, all_22_31, e20, e20, % 62.13/9.61 | simplifying with (212), (279) gives: % 62.13/9.61 | (525) all_22_31 = all_18_15 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (28) with all_22_31, all_26_15, e20, e20, % 62.13/9.61 | simplifying with (279), (348) gives: % 62.13/9.61 | (526) all_26_15 = all_22_31 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (28) with all_14_15, all_26_15, e20, e20, % 62.13/9.61 | simplifying with (166), (348) gives: % 62.13/9.61 | (527) all_26_15 = all_14_15 % 62.13/9.61 | % 62.13/9.61 | GROUND_INST: instantiating (28) with all_14_11, all_22_23, e21, e20, % 62.13/9.61 | simplifying with (167), (280) gives: % 62.13/9.61 | (528) all_22_23 = all_14_11 % 62.13/9.61 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_23, all_26_14, e21, e20, % 62.13/9.62 | simplifying with (280), (349) gives: % 62.13/9.62 | (529) all_26_14 = all_22_23 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_14, all_26_14, e21, e20, % 62.13/9.62 | simplifying with (213), (349) gives: % 62.13/9.62 | (530) all_26_14 = all_18_14 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_7, all_22_15, e22, e20, % 62.13/9.62 | simplifying with (168), (281) gives: % 62.13/9.62 | (531) all_22_15 = all_14_7 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_15, all_26_13, e22, e20, % 62.13/9.62 | simplifying with (281), (350) gives: % 62.13/9.62 | (532) all_26_13 = all_22_15 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_13, all_26_13, e22, e20, % 62.13/9.62 | simplifying with (214), (350) gives: % 62.13/9.62 | (533) all_26_13 = all_18_13 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_12, all_22_7, e23, e20, % 62.13/9.62 | simplifying with (215), (282) gives: % 62.13/9.62 | (534) all_22_7 = all_18_12 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_7, all_26_12, e23, e20, % 62.13/9.62 | simplifying with (282), (351) gives: % 62.13/9.62 | (535) all_26_12 = all_22_7 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_3, all_26_12, e23, e20, % 62.13/9.62 | simplifying with (169), (351) gives: % 62.13/9.62 | (536) all_26_12 = all_14_3 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_29, all_26_11, e20, e21, % 62.13/9.62 | simplifying with (283), (352) gives: % 62.13/9.62 | (537) all_26_11 = all_22_29 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_11, all_26_11, e20, e21, % 62.13/9.62 | simplifying with (216), (352) gives: % 62.13/9.62 | (538) all_26_11 = all_18_11 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_14, all_26_11, e20, e21, % 62.13/9.62 | simplifying with (170), (352) gives: % 62.13/9.62 | (539) all_26_11 = all_14_14 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_10, all_18_10, e21, e21, % 62.13/9.62 | simplifying with (171), (217) gives: % 62.13/9.62 | (540) all_18_10 = all_14_10 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_21, all_26_8, e21, e21, % 62.13/9.62 | simplifying with (284), (353) gives: % 62.13/9.62 | (541) all_26_8 = all_22_21 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_10, all_26_8, e21, e21, % 62.13/9.62 | simplifying with (217), (353) gives: % 62.13/9.62 | (542) all_26_8 = all_18_10 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_4_1, all_26_8, e21, e21, simplifying % 62.13/9.62 | with (30), (353) gives: % 62.13/9.62 | (543) all_26_8 = all_4_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_13, all_26_7, e22, e21, % 62.13/9.62 | simplifying with (285), (354) gives: % 62.13/9.62 | (544) all_26_7 = all_22_13 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_9, all_26_7, e22, e21, simplifying % 62.13/9.62 | with (218), (354) gives: % 62.13/9.62 | (545) all_26_7 = all_18_9 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_6, all_26_7, e22, e21, simplifying % 62.13/9.62 | with (172), (354) gives: % 62.13/9.62 | (546) all_26_7 = all_14_6 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_2, all_22_5, e23, e21, simplifying % 62.13/9.62 | with (173), (286) gives: % 62.13/9.62 | (547) all_22_5 = all_14_2 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_5, all_26_6, e23, e21, simplifying % 62.13/9.62 | with (286), (355) gives: % 62.13/9.62 | (548) all_26_6 = all_22_5 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_8, all_26_6, e23, e21, simplifying % 62.13/9.62 | with (219), (355) gives: % 62.13/9.62 | (549) all_26_6 = all_18_8 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_13, all_22_27, e20, e22, % 62.13/9.62 | simplifying with (174), (287) gives: % 62.13/9.62 | (550) all_22_27 = all_14_13 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_27, all_26_10, e20, e22, % 62.13/9.62 | simplifying with (287), (356) gives: % 62.13/9.62 | (551) all_26_10 = all_22_27 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_7, all_26_10, e20, e22, % 62.13/9.62 | simplifying with (220), (356) gives: % 62.13/9.62 | (552) all_26_10 = all_18_7 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_9, all_22_19, e21, e22, % 62.13/9.62 | simplifying with (175), (288) gives: % 62.13/9.62 | (553) all_22_19 = all_14_9 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_19, all_26_5, e21, e22, % 62.13/9.62 | simplifying with (288), (357) gives: % 62.13/9.62 | (554) all_26_5 = all_22_19 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_6, all_26_5, e21, e22, simplifying % 62.13/9.62 | with (221), (357) gives: % 62.13/9.62 | (555) all_26_5 = all_18_6 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_6_1, all_18_5, e22, e22, simplifying % 62.13/9.62 | with (36), (222) gives: % 62.13/9.62 | (556) all_18_5 = all_6_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_5, all_22_11, e22, e22, % 62.13/9.62 | simplifying with (222), (289) gives: % 62.13/9.62 | (557) all_22_11 = all_18_5 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_11, all_26_3, e22, e22, % 62.13/9.62 | simplifying with (289), (358) gives: % 62.13/9.62 | (558) all_26_3 = all_22_11 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_5, all_26_3, e22, e22, simplifying % 62.13/9.62 | with (176), (358) gives: % 62.13/9.62 | (559) all_26_3 = all_14_5 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_3, all_26_2, e23, e22, simplifying % 62.13/9.62 | with (290), (359) gives: % 62.13/9.62 | (560) all_26_2 = all_22_3 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_4, all_26_2, e23, e22, simplifying % 62.13/9.62 | with (223), (359) gives: % 62.13/9.62 | (561) all_26_2 = all_18_4 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_1, all_26_2, e23, e22, simplifying % 62.13/9.62 | with (177), (359) gives: % 62.13/9.62 | (562) all_26_2 = all_14_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_3, all_22_25, e20, e23, % 62.13/9.62 | simplifying with (224), (291) gives: % 62.13/9.62 | (563) all_22_25 = all_18_3 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_25, all_26_9, e20, e23, % 62.13/9.62 | simplifying with (291), (360) gives: % 62.13/9.62 | (564) all_26_9 = all_22_25 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_12, all_26_9, e20, e23, % 62.13/9.62 | simplifying with (178), (360) gives: % 62.13/9.62 | (565) all_26_9 = all_14_12 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_2, all_22_17, e21, e23, % 62.13/9.62 | simplifying with (225), (292) gives: % 62.13/9.62 | (566) all_22_17 = all_18_2 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with e22, all_22_17, e21, e23, simplifying % 62.13/9.62 | with (15), (292) gives: % 62.13/9.62 | (567) all_22_17 = e22 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_2, all_26_4, e21, e23, simplifying % 62.13/9.62 | with (225), (361) gives: % 62.13/9.62 | (568) all_26_4 = all_18_2 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_8, all_26_4, e21, e23, simplifying % 62.13/9.62 | with (179), (361) gives: % 62.13/9.62 | (569) all_26_4 = all_14_8 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_1, all_22_9, e22, e23, simplifying % 62.13/9.62 | with (226), (293) gives: % 62.13/9.62 | (570) all_22_9 = all_18_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with e20, all_22_9, e22, e23, simplifying with % 62.13/9.62 | (16), (293) gives: % 62.13/9.62 | (571) all_22_9 = e20 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_1, all_26_1, e22, e23, simplifying % 62.13/9.62 | with (226), (362) gives: % 62.13/9.62 | (572) all_26_1 = all_18_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_4, all_26_1, e22, e23, simplifying % 62.13/9.62 | with (180), (362) gives: % 62.13/9.62 | (573) all_26_1 = all_14_4 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_8_1, all_14_0, e23, e23, simplifying % 62.13/9.62 | with (42), (181) gives: % 62.13/9.62 | (574) all_14_0 = all_8_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_14_0, all_18_0, e23, e23, simplifying % 62.13/9.62 | with (181), (227) gives: % 62.13/9.62 | (575) all_18_0 = all_14_0 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_18_0, all_22_1, e23, e23, simplifying % 62.13/9.62 | with (227), (294) gives: % 62.13/9.62 | (576) all_22_1 = all_18_0 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with all_22_1, all_26_0, e23, e23, simplifying % 62.13/9.62 | with (294), (363) gives: % 62.13/9.62 | (577) all_26_0 = all_22_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (28) with e21, all_26_0, e23, e23, simplifying with % 62.13/9.62 | (17), (363) gives: % 62.13/9.62 | (578) all_26_0 = e21 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (23) with all_10_1, all_28_153, e11, simplifying % 62.13/9.62 | with (51), (428) gives: % 62.13/9.62 | (579) all_28_153 = all_10_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (23) with e20, all_28_145, e13, simplifying with % 62.13/9.62 | (52), (429) gives: % 62.13/9.62 | (580) all_28_145 = e20 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (24) with all_4_1, all_28_103, e11, simplifying % 62.13/9.62 | with (32), (430) gives: % 62.13/9.62 | (581) all_28_103 = all_4_1 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (24) with all_4_0, all_28_100, e12, simplifying % 62.13/9.62 | with (33), (431) gives: % 62.13/9.62 | (582) all_28_100 = all_4_0 % 62.13/9.62 | % 62.13/9.62 | GROUND_INST: instantiating (24) with e21, all_28_97, e13, simplifying with % 62.13/9.62 | (34), (432) gives: % 62.13/9.63 | (583) all_28_97 = e21 % 62.13/9.63 | % 62.13/9.63 | GROUND_INST: instantiating (25) with all_6_1, all_28_67, e11, simplifying with % 62.13/9.63 | (38), (433) gives: % 62.13/9.63 | (584) all_28_67 = all_6_1 % 62.13/9.63 | % 62.13/9.63 | GROUND_INST: instantiating (25) with all_6_0, all_28_64, e12, simplifying with % 62.13/9.63 | (39), (434) gives: % 62.13/9.63 | (585) all_28_64 = all_6_0 % 62.13/9.63 | % 62.13/9.63 | GROUND_INST: instantiating (25) with e22, all_28_61, e13, simplifying with % 62.13/9.63 | (40), (435) gives: % 62.13/9.63 | (586) all_28_61 = e22 % 62.13/9.63 | % 62.13/9.63 | GROUND_INST: instantiating (26) with all_8_2, all_28_34, e10, simplifying with % 62.13/9.63 | (45), (436) gives: % 62.13/9.63 | (587) all_28_34 = all_8_2 % 62.13/9.63 | % 62.13/9.63 | GROUND_INST: instantiating (26) with all_8_1, all_28_31, e11, simplifying with % 62.13/9.63 | (46), (437) gives: % 62.13/9.63 | (588) all_28_31 = all_8_1 % 62.13/9.63 | % 62.13/9.63 | GROUND_INST: instantiating (26) with all_8_0, all_28_28, e12, simplifying with % 62.13/9.63 | (47), (438) gives: % 62.13/9.63 | (589) all_28_28 = all_8_0 % 62.13/9.63 | % 62.13/9.63 | GROUND_INST: instantiating (26) with e23, all_28_25, e13, simplifying with % 62.13/9.63 | (48), (439) gives: % 62.13/9.63 | (590) all_28_25 = e23 % 62.13/9.63 | % 62.13/9.63 | COMBINE_EQS: (521), (522) imply: % 62.13/9.63 | (591) all_20_1 = all_16_0 % 62.13/9.63 | % 62.13/9.63 | SIMP: (591) implies: % 62.13/9.63 | (592) all_20_1 = all_16_0 % 62.13/9.63 | % 62.13/9.63 | COMBINE_EQS: (522), (523) imply: % 62.13/9.63 | (593) all_16_0 = all_12_0 % 62.13/9.63 | % 62.13/9.63 | COMBINE_EQS: (517), (518) imply: % 62.13/9.63 | (594) all_24_1 = all_20_9 % 62.13/9.63 | % 62.13/9.63 | SIMP: (594) implies: % 62.13/9.63 | (595) all_24_1 = all_20_9 % 62.13/9.63 | % 62.13/9.63 | COMBINE_EQS: (512), (513) imply: % 62.13/9.63 | (596) all_24_4 = e12 % 62.13/9.63 | % 62.13/9.63 | SIMP: (596) implies: % 62.47/9.63 | (597) all_24_4 = e12 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (507), (508) imply: % 62.47/9.63 | (598) all_24_9 = all_16_3 % 62.47/9.63 | % 62.47/9.63 | SIMP: (598) implies: % 62.47/9.63 | (599) all_24_9 = all_16_3 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (503), (504) imply: % 62.47/9.63 | (600) all_24_2 = all_16_4 % 62.47/9.63 | % 62.47/9.63 | SIMP: (600) implies: % 62.47/9.63 | (601) all_24_2 = all_16_4 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (499), (500) imply: % 62.47/9.63 | (602) all_24_3 = all_20_11 % 62.47/9.63 | % 62.47/9.63 | SIMP: (602) implies: % 62.47/9.63 | (603) all_24_3 = all_20_11 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (495), (496) imply: % 62.47/9.63 | (604) all_24_5 = all_12_9 % 62.47/9.63 | % 62.47/9.63 | SIMP: (604) implies: % 62.47/9.63 | (605) all_24_5 = all_12_9 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (491), (492) imply: % 62.47/9.63 | (606) all_24_10 = all_12_13 % 62.47/9.63 | % 62.47/9.63 | SIMP: (606) implies: % 62.47/9.63 | (607) all_24_10 = all_12_13 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (487), (488) imply: % 62.47/9.63 | (608) all_24_6 = all_12_2 % 62.47/9.63 | % 62.47/9.63 | SIMP: (608) implies: % 62.47/9.63 | (609) all_24_6 = all_12_2 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (482), (484) imply: % 62.47/9.63 | (610) all_24_7 = all_12_6 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (482), (483) imply: % 62.47/9.63 | (611) all_24_7 = all_20_13 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (478), (480) imply: % 62.47/9.63 | (612) all_24_8 = all_16_10 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (478), (479) imply: % 62.47/9.63 | (613) all_24_8 = all_20_21 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (474), (476) imply: % 62.47/9.63 | (614) all_24_11 = all_12_14 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (474), (475) imply: % 62.47/9.63 | (615) all_24_11 = all_20_29 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (471), (472) imply: % 62.47/9.63 | (616) all_24_12 = all_12_3 % 62.47/9.63 | % 62.47/9.63 | SIMP: (616) implies: % 62.47/9.63 | (617) all_24_12 = all_12_3 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (467), (468) imply: % 62.47/9.63 | (618) all_24_13 = all_20_15 % 62.47/9.63 | % 62.47/9.63 | SIMP: (618) implies: % 62.47/9.63 | (619) all_24_13 = all_20_15 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (463), (464) imply: % 62.47/9.63 | (620) all_24_14 = all_12_11 % 62.47/9.63 | % 62.47/9.63 | SIMP: (620) implies: % 62.47/9.63 | (621) all_24_14 = all_12_11 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (459), (460) imply: % 62.47/9.63 | (622) all_24_15 = all_20_31 % 62.47/9.63 | % 62.47/9.63 | SIMP: (622) implies: % 62.47/9.63 | (623) all_24_15 = all_20_31 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (577), (578) imply: % 62.47/9.63 | (624) all_22_1 = e21 % 62.47/9.63 | % 62.47/9.63 | SIMP: (624) implies: % 62.47/9.63 | (625) all_22_1 = e21 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (572), (573) imply: % 62.47/9.63 | (626) all_18_1 = all_14_4 % 62.47/9.63 | % 62.47/9.63 | SIMP: (626) implies: % 62.47/9.63 | (627) all_18_1 = all_14_4 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (560), (562) imply: % 62.47/9.63 | (628) all_22_3 = all_14_1 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (560), (561) imply: % 62.47/9.63 | (629) all_22_3 = all_18_4 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (558), (559) imply: % 62.47/9.63 | (630) all_22_11 = all_14_5 % 62.47/9.63 | % 62.47/9.63 | SIMP: (630) implies: % 62.47/9.63 | (631) all_22_11 = all_14_5 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (568), (569) imply: % 62.47/9.63 | (632) all_18_2 = all_14_8 % 62.47/9.63 | % 62.47/9.63 | SIMP: (632) implies: % 62.47/9.63 | (633) all_18_2 = all_14_8 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (554), (555) imply: % 62.47/9.63 | (634) all_22_19 = all_18_6 % 62.47/9.63 | % 62.47/9.63 | SIMP: (634) implies: % 62.47/9.63 | (635) all_22_19 = all_18_6 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (548), (549) imply: % 62.47/9.63 | (636) all_22_5 = all_18_8 % 62.47/9.63 | % 62.47/9.63 | SIMP: (636) implies: % 62.47/9.63 | (637) all_22_5 = all_18_8 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (544), (545) imply: % 62.47/9.63 | (638) all_22_13 = all_18_9 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (544), (546) imply: % 62.47/9.63 | (639) all_22_13 = all_14_6 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (541), (543) imply: % 62.47/9.63 | (640) all_22_21 = all_4_1 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (541), (542) imply: % 62.47/9.63 | (641) all_22_21 = all_18_10 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (564), (565) imply: % 62.47/9.63 | (642) all_22_25 = all_14_12 % 62.47/9.63 | % 62.47/9.63 | SIMP: (642) implies: % 62.47/9.63 | (643) all_22_25 = all_14_12 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (551), (552) imply: % 62.47/9.63 | (644) all_22_27 = all_18_7 % 62.47/9.63 | % 62.47/9.63 | SIMP: (644) implies: % 62.47/9.63 | (645) all_22_27 = all_18_7 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (537), (538) imply: % 62.47/9.63 | (646) all_22_29 = all_18_11 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (537), (539) imply: % 62.47/9.63 | (647) all_22_29 = all_14_14 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (535), (536) imply: % 62.47/9.63 | (648) all_22_7 = all_14_3 % 62.47/9.63 | % 62.47/9.63 | SIMP: (648) implies: % 62.47/9.63 | (649) all_22_7 = all_14_3 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (532), (533) imply: % 62.47/9.63 | (650) all_22_15 = all_18_13 % 62.47/9.63 | % 62.47/9.63 | SIMP: (650) implies: % 62.47/9.63 | (651) all_22_15 = all_18_13 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (529), (530) imply: % 62.47/9.63 | (652) all_22_23 = all_18_14 % 62.47/9.63 | % 62.47/9.63 | SIMP: (652) implies: % 62.47/9.63 | (653) all_22_23 = all_18_14 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (526), (527) imply: % 62.47/9.63 | (654) all_22_31 = all_14_15 % 62.47/9.63 | % 62.47/9.63 | SIMP: (654) implies: % 62.47/9.63 | (655) all_22_31 = all_14_15 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (519), (520) imply: % 62.47/9.63 | (656) all_20_1 = e11 % 62.47/9.63 | % 62.47/9.63 | SIMP: (656) implies: % 62.47/9.63 | (657) all_20_1 = e11 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (516), (595) imply: % 62.47/9.63 | (658) all_20_9 = all_12_4 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (515), (595) imply: % 62.47/9.63 | (659) all_20_9 = all_16_1 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (502), (601) imply: % 62.47/9.63 | (660) all_20_3 = all_16_4 % 62.47/9.63 | % 62.47/9.63 | SIMP: (660) implies: % 62.47/9.63 | (661) all_20_3 = all_16_4 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (498), (603) imply: % 62.47/9.63 | (662) all_20_11 = all_12_5 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (497), (603) imply: % 62.47/9.63 | (663) all_20_11 = all_16_5 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (511), (597) imply: % 62.47/9.63 | (664) all_16_2 = e12 % 62.47/9.63 | % 62.47/9.63 | SIMP: (664) implies: % 62.47/9.63 | (665) all_16_2 = e12 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (494), (605) imply: % 62.47/9.63 | (666) all_20_19 = all_12_9 % 62.47/9.63 | % 62.47/9.63 | SIMP: (666) implies: % 62.47/9.63 | (667) all_20_19 = all_12_9 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (486), (609) imply: % 62.47/9.63 | (668) all_20_5 = all_12_2 % 62.47/9.63 | % 62.47/9.63 | SIMP: (668) implies: % 62.47/9.63 | (669) all_20_5 = all_12_2 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (610), (611) imply: % 62.47/9.63 | (670) all_20_13 = all_12_6 % 62.47/9.63 | % 62.47/9.63 | SIMP: (670) implies: % 62.47/9.63 | (671) all_20_13 = all_12_6 % 62.47/9.63 | % 62.47/9.63 | COMBINE_EQS: (612), (613) imply: % 62.47/9.64 | (672) all_20_21 = all_16_10 % 62.47/9.64 | % 62.47/9.64 | SIMP: (672) implies: % 62.47/9.64 | (673) all_20_21 = all_16_10 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (506), (599) imply: % 62.47/9.64 | (674) all_20_25 = all_16_3 % 62.47/9.64 | % 62.47/9.64 | SIMP: (674) implies: % 62.47/9.64 | (675) all_20_25 = all_16_3 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (489), (490) imply: % 62.47/9.64 | (676) all_20_27 = all_16_7 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (489), (607) imply: % 62.47/9.64 | (677) all_20_27 = all_12_13 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (614), (615) imply: % 62.47/9.64 | (678) all_20_29 = all_12_14 % 62.47/9.64 | % 62.47/9.64 | SIMP: (678) implies: % 62.47/9.64 | (679) all_20_29 = all_12_14 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (469), (470) imply: % 62.47/9.64 | (680) all_20_7 = all_16_12 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (469), (617) imply: % 62.47/9.64 | (681) all_20_7 = all_12_3 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (466), (619) imply: % 62.47/9.64 | (682) all_20_15 = all_12_7 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (465), (619) imply: % 62.47/9.64 | (683) all_20_15 = all_16_13 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (461), (621) imply: % 62.47/9.64 | (684) all_20_23 = all_12_11 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (461), (462) imply: % 62.47/9.64 | (685) all_20_23 = all_16_14 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (458), (623) imply: % 62.47/9.64 | (686) all_20_31 = all_12_15 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (457), (623) imply: % 62.47/9.64 | (687) all_20_31 = all_16_15 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (576), (625) imply: % 62.47/9.64 | (688) all_18_0 = e21 % 62.47/9.64 | % 62.47/9.64 | SIMP: (688) implies: % 62.47/9.64 | (689) all_18_0 = e21 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (628), (629) imply: % 62.47/9.64 | (690) all_18_4 = all_14_1 % 62.47/9.64 | % 62.47/9.64 | SIMP: (690) implies: % 62.47/9.64 | (691) all_18_4 = all_14_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (547), (637) imply: % 62.47/9.64 | (692) all_18_8 = all_14_2 % 62.47/9.64 | % 62.47/9.64 | SIMP: (692) implies: % 62.47/9.64 | (693) all_18_8 = all_14_2 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (534), (649) imply: % 62.47/9.64 | (694) all_18_12 = all_14_3 % 62.47/9.64 | % 62.47/9.64 | SIMP: (694) implies: % 62.47/9.64 | (695) all_18_12 = all_14_3 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (570), (571) imply: % 62.47/9.64 | (696) all_18_1 = e20 % 62.47/9.64 | % 62.47/9.64 | SIMP: (696) implies: % 62.47/9.64 | (697) all_18_1 = e20 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (557), (631) imply: % 62.47/9.64 | (698) all_18_5 = all_14_5 % 62.47/9.64 | % 62.47/9.64 | SIMP: (698) implies: % 62.47/9.64 | (699) all_18_5 = all_14_5 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (638), (639) imply: % 62.47/9.64 | (700) all_18_9 = all_14_6 % 62.47/9.64 | % 62.47/9.64 | SIMP: (700) implies: % 62.47/9.64 | (701) all_18_9 = all_14_6 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (531), (651) imply: % 62.47/9.64 | (702) all_18_13 = all_14_7 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (566), (567) imply: % 62.47/9.64 | (703) all_18_2 = e22 % 62.47/9.64 | % 62.47/9.64 | SIMP: (703) implies: % 62.47/9.64 | (704) all_18_2 = e22 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (553), (635) imply: % 62.47/9.64 | (705) all_18_6 = all_14_9 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (640), (641) imply: % 62.47/9.64 | (706) all_18_10 = all_4_1 % 62.47/9.64 | % 62.47/9.64 | SIMP: (706) implies: % 62.47/9.64 | (707) all_18_10 = all_4_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (528), (653) imply: % 62.47/9.64 | (708) all_18_14 = all_14_11 % 62.47/9.64 | % 62.47/9.64 | SIMP: (708) implies: % 62.47/9.64 | (709) all_18_14 = all_14_11 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (563), (643) imply: % 62.47/9.64 | (710) all_18_3 = all_14_12 % 62.47/9.64 | % 62.47/9.64 | SIMP: (710) implies: % 62.47/9.64 | (711) all_18_3 = all_14_12 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (550), (645) imply: % 62.47/9.64 | (712) all_18_7 = all_14_13 % 62.47/9.64 | % 62.47/9.64 | SIMP: (712) implies: % 62.47/9.64 | (713) all_18_7 = all_14_13 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (646), (647) imply: % 62.47/9.64 | (714) all_18_11 = all_14_14 % 62.47/9.64 | % 62.47/9.64 | SIMP: (714) implies: % 62.47/9.64 | (715) all_18_11 = all_14_14 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (525), (655) imply: % 62.47/9.64 | (716) all_18_15 = all_14_15 % 62.47/9.64 | % 62.47/9.64 | SIMP: (716) implies: % 62.47/9.64 | (717) all_18_15 = all_14_15 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (592), (657) imply: % 62.47/9.64 | (718) all_16_0 = e11 % 62.47/9.64 | % 62.47/9.64 | SIMP: (718) implies: % 62.47/9.64 | (719) all_16_0 = e11 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (501), (661) imply: % 62.47/9.64 | (720) all_16_4 = all_12_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (485), (669) imply: % 62.47/9.64 | (721) all_16_8 = all_12_2 % 62.47/9.64 | % 62.47/9.64 | SIMP: (721) implies: % 62.47/9.64 | (722) all_16_8 = all_12_2 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (680), (681) imply: % 62.47/9.64 | (723) all_16_12 = all_12_3 % 62.47/9.64 | % 62.47/9.64 | SIMP: (723) implies: % 62.47/9.64 | (724) all_16_12 = all_12_3 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (658), (659) imply: % 62.47/9.64 | (725) all_16_1 = all_12_4 % 62.47/9.64 | % 62.47/9.64 | SIMP: (725) implies: % 62.47/9.64 | (726) all_16_1 = all_12_4 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (662), (663) imply: % 62.47/9.64 | (727) all_16_5 = all_12_5 % 62.47/9.64 | % 62.47/9.64 | SIMP: (727) implies: % 62.47/9.64 | (728) all_16_5 = all_12_5 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (481), (671) imply: % 62.47/9.64 | (729) all_16_9 = all_12_6 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (682), (683) imply: % 62.47/9.64 | (730) all_16_13 = all_12_7 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (509), (510) imply: % 62.47/9.64 | (731) all_16_2 = all_12_8 % 62.47/9.64 | % 62.47/9.64 | SIMP: (731) implies: % 62.47/9.64 | (732) all_16_2 = all_12_8 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (493), (667) imply: % 62.47/9.64 | (733) all_16_6 = all_12_9 % 62.47/9.64 | % 62.47/9.64 | SIMP: (733) implies: % 62.47/9.64 | (734) all_16_6 = all_12_9 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (477), (673) imply: % 62.47/9.64 | (735) all_16_10 = all_12_10 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (684), (685) imply: % 62.47/9.64 | (736) all_16_14 = all_12_11 % 62.47/9.64 | % 62.47/9.64 | SIMP: (736) implies: % 62.47/9.64 | (737) all_16_14 = all_12_11 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (505), (675) imply: % 62.47/9.64 | (738) all_16_3 = all_12_12 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (676), (677) imply: % 62.47/9.64 | (739) all_16_7 = all_12_13 % 62.47/9.64 | % 62.47/9.64 | SIMP: (739) implies: % 62.47/9.64 | (740) all_16_7 = all_12_13 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (473), (679) imply: % 62.47/9.64 | (741) all_16_11 = all_12_14 % 62.47/9.64 | % 62.47/9.64 | SIMP: (741) implies: % 62.47/9.64 | (742) all_16_11 = all_12_14 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (686), (687) imply: % 62.47/9.64 | (743) all_16_15 = all_12_15 % 62.47/9.64 | % 62.47/9.64 | SIMP: (743) implies: % 62.47/9.64 | (744) all_16_15 = all_12_15 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (575), (689) imply: % 62.47/9.64 | (745) all_14_0 = e21 % 62.47/9.64 | % 62.47/9.64 | SIMP: (745) implies: % 62.47/9.64 | (746) all_14_0 = e21 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (627), (697) imply: % 62.47/9.64 | (747) all_14_4 = e20 % 62.47/9.64 | % 62.47/9.64 | SIMP: (747) implies: % 62.47/9.64 | (748) all_14_4 = e20 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (633), (704) imply: % 62.47/9.64 | (749) all_14_8 = e22 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (556), (699) imply: % 62.47/9.64 | (750) all_14_5 = all_6_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (540), (707) imply: % 62.47/9.64 | (751) all_14_10 = all_4_1 % 62.47/9.64 | % 62.47/9.64 | SIMP: (751) implies: % 62.47/9.64 | (752) all_14_10 = all_4_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (524), (717) imply: % 62.47/9.64 | (753) all_14_15 = all_10_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (593), (719) imply: % 62.47/9.64 | (754) all_12_0 = e11 % 62.47/9.64 | % 62.47/9.64 | SIMP: (754) implies: % 62.47/9.64 | (755) all_12_0 = e11 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (514), (726) imply: % 62.47/9.64 | (756) all_12_4 = e10 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (665), (732) imply: % 62.47/9.64 | (757) all_12_8 = e12 % 62.47/9.64 | % 62.47/9.64 | SIMP: (757) implies: % 62.47/9.64 | (758) all_12_8 = e12 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (574), (746) imply: % 62.47/9.64 | (759) all_8_1 = e21 % 62.47/9.64 | % 62.47/9.64 | SIMP: (759) implies: % 62.47/9.64 | (760) all_8_1 = e21 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (510), (758) imply: % 62.47/9.64 | (761) all_20_17 = e12 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (658), (756) imply: % 62.47/9.64 | (762) all_20_9 = e10 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (655), (753) imply: % 62.47/9.64 | (763) all_22_31 = all_10_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (631), (750) imply: % 62.47/9.64 | (764) all_22_11 = all_6_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (599), (738) imply: % 62.47/9.64 | (765) all_24_9 = all_12_12 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (612), (735) imply: % 62.47/9.64 | (766) all_24_8 = all_12_10 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (601), (720) imply: % 62.47/9.64 | (767) all_24_2 = all_12_1 % 62.47/9.64 | % 62.47/9.64 | COMBINE_EQS: (595), (762) imply: % 62.47/9.65 | (768) all_24_1 = e10 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (527), (753) imply: % 62.47/9.65 | (769) all_26_15 = all_10_1 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (530), (709) imply: % 62.47/9.65 | (770) all_26_14 = all_14_11 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (533), (702) imply: % 62.47/9.65 | (771) all_26_13 = all_14_7 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (552), (713) imply: % 62.47/9.65 | (772) all_26_10 = all_14_13 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (549), (693) imply: % 62.47/9.65 | (773) all_26_6 = all_14_2 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (555), (705) imply: % 62.47/9.65 | (774) all_26_5 = all_14_9 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (569), (749) imply: % 62.47/9.65 | (775) all_26_4 = e22 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (559), (750) imply: % 62.47/9.65 | (776) all_26_3 = all_6_1 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (573), (748) imply: % 62.47/9.65 | (777) all_26_1 = e20 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (460), (686) imply: % 62.47/9.65 | (778) all_28_159 = all_12_15 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (468), (682) imply: % 62.47/9.65 | (779) all_28_151 = all_12_7 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (478), (766) imply: % 62.47/9.65 | (780) all_28_140 = all_12_10 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (500), (662) imply: % 62.47/9.65 | (781) all_28_125 = all_12_5 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (504), (720) imply: % 62.47/9.65 | (782) all_28_122 = all_12_1 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (508), (738) imply: % 62.47/9.65 | (783) all_28_119 = all_12_12 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (518), (762) imply: % 62.47/9.65 | (784) all_28_113 = e10 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (522), (719) imply: % 62.47/9.65 | (785) all_28_110 = e11 % 62.47/9.65 | % 62.47/9.65 | COMBINE_EQS: (588), (760) imply: % 62.47/9.65 | (786) all_28_31 = e21 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (165), (746) imply: % 62.47/9.65 | (787) ~ (all_14_1 = e21) % 62.47/9.65 | % 62.47/9.65 | SIMP: (787) implies: % 62.47/9.65 | (788) ~ (all_14_1 = e21) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (164), (746) imply: % 62.47/9.65 | (789) ~ (all_14_2 = e21) % 62.47/9.65 | % 62.47/9.65 | SIMP: (789) implies: % 62.47/9.65 | (790) ~ (all_14_2 = e21) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (163), (746) imply: % 62.47/9.65 | (791) ~ (all_14_3 = e21) % 62.47/9.65 | % 62.47/9.65 | SIMP: (791) implies: % 62.47/9.65 | (792) ~ (all_14_3 = e21) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (162), (746), (748) imply: % 62.47/9.65 | (793) ~ (e21 = e20) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (161), (746), (749) imply: % 62.47/9.65 | (794) ~ (e22 = e21) % 62.47/9.65 | % 62.47/9.65 | SIMP: (794) implies: % 62.47/9.65 | (795) ~ (e22 = e21) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (160), (746) imply: % 62.47/9.65 | (796) ~ (all_14_12 = e21) % 62.47/9.65 | % 62.47/9.65 | SIMP: (796) implies: % 62.47/9.65 | (797) ~ (all_14_12 = e21) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (157), (750) imply: % 62.47/9.65 | (798) ~ (all_14_1 = all_6_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (152), (752) imply: % 62.47/9.65 | (799) ~ (all_14_2 = all_4_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (148), (753) imply: % 62.47/9.65 | (800) ~ (all_14_3 = all_10_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (147), (748), (750) imply: % 62.47/9.65 | (801) ~ (all_6_1 = e20) % 62.47/9.65 | % 62.47/9.65 | SIMP: (801) implies: % 62.47/9.65 | (802) ~ (all_6_1 = e20) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (146), (748) imply: % 62.47/9.65 | (803) ~ (all_14_6 = e20) % 62.47/9.65 | % 62.47/9.65 | SIMP: (803) implies: % 62.47/9.65 | (804) ~ (all_14_6 = e20) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (145), (748) imply: % 62.47/9.65 | (805) ~ (all_14_7 = e20) % 62.47/9.65 | % 62.47/9.65 | SIMP: (805) implies: % 62.47/9.65 | (806) ~ (all_14_7 = e20) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (144), (748), (749) imply: % 62.47/9.65 | (807) ~ (e22 = e20) % 62.47/9.65 | % 62.47/9.65 | SIMP: (807) implies: % 62.47/9.65 | (808) ~ (e22 = e20) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (143), (748) imply: % 62.47/9.65 | (809) ~ (all_14_12 = e20) % 62.47/9.65 | % 62.47/9.65 | SIMP: (809) implies: % 62.47/9.65 | (810) ~ (all_14_12 = e20) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (142), (750) imply: % 62.47/9.65 | (811) ~ (all_14_6 = all_6_1) % 62.47/9.65 | % 62.47/9.65 | SIMP: (811) implies: % 62.47/9.65 | (812) ~ (all_14_6 = all_6_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (141), (750) imply: % 62.47/9.65 | (813) ~ (all_14_7 = all_6_1) % 62.47/9.65 | % 62.47/9.65 | SIMP: (813) implies: % 62.47/9.65 | (814) ~ (all_14_7 = all_6_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (140), (750) imply: % 62.47/9.65 | (815) ~ (all_14_13 = all_6_1) % 62.47/9.65 | % 62.47/9.65 | SIMP: (815) implies: % 62.47/9.65 | (816) ~ (all_14_13 = all_6_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (138), (752) imply: % 62.47/9.65 | (817) ~ (all_14_6 = all_4_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (135), (753) imply: % 62.47/9.65 | (818) ~ (all_14_7 = all_10_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (134), (749) imply: % 62.47/9.65 | (819) ~ (all_14_9 = e22) % 62.47/9.65 | % 62.47/9.65 | SIMP: (819) implies: % 62.47/9.65 | (820) ~ (all_14_9 = e22) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (133), (749), (752) imply: % 62.47/9.65 | (821) ~ (all_4_1 = e22) % 62.47/9.65 | % 62.47/9.65 | SIMP: (821) implies: % 62.47/9.65 | (822) ~ (all_4_1 = e22) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (132), (749) imply: % 62.47/9.65 | (823) ~ (all_14_11 = e22) % 62.47/9.65 | % 62.47/9.65 | SIMP: (823) implies: % 62.47/9.65 | (824) ~ (all_14_11 = e22) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (131), (749) imply: % 62.47/9.65 | (825) ~ (all_14_12 = e22) % 62.47/9.65 | % 62.47/9.65 | SIMP: (825) implies: % 62.47/9.65 | (826) ~ (all_14_12 = e22) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (130), (752) imply: % 62.47/9.65 | (827) ~ (all_14_9 = all_4_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (127), (752) imply: % 62.47/9.65 | (828) ~ (all_14_11 = all_4_1) % 62.47/9.65 | % 62.47/9.65 | SIMP: (828) implies: % 62.47/9.65 | (829) ~ (all_14_11 = all_4_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (126), (752) imply: % 62.47/9.65 | (830) ~ (all_14_14 = all_4_1) % 62.47/9.65 | % 62.47/9.65 | SIMP: (830) implies: % 62.47/9.65 | (831) ~ (all_14_14 = all_4_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (125), (753) imply: % 62.47/9.65 | (832) ~ (all_14_11 = all_10_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (122), (753) imply: % 62.47/9.65 | (833) ~ (all_14_12 = all_10_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (120), (753) imply: % 62.47/9.65 | (834) ~ (all_14_13 = all_10_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (119), (753) imply: % 62.47/9.65 | (835) ~ (all_14_14 = all_10_1) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (101), (755) imply: % 62.47/9.65 | (836) ~ (all_12_1 = e11) % 62.47/9.65 | % 62.47/9.65 | SIMP: (836) implies: % 62.47/9.65 | (837) ~ (all_12_1 = e11) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (100), (755) imply: % 62.47/9.65 | (838) ~ (all_12_2 = e11) % 62.47/9.65 | % 62.47/9.65 | SIMP: (838) implies: % 62.47/9.65 | (839) ~ (all_12_2 = e11) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (99), (755) imply: % 62.47/9.65 | (840) ~ (all_12_3 = e11) % 62.47/9.65 | % 62.47/9.65 | SIMP: (840) implies: % 62.47/9.65 | (841) ~ (all_12_3 = e11) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (98), (755), (756) imply: % 62.47/9.65 | (842) ~ (e11 = e10) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (97), (755), (758) imply: % 62.47/9.65 | (843) ~ (e12 = e11) % 62.47/9.65 | % 62.47/9.65 | SIMP: (843) implies: % 62.47/9.65 | (844) ~ (e12 = e11) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (96), (755) imply: % 62.47/9.65 | (845) ~ (all_12_12 = e11) % 62.47/9.65 | % 62.47/9.65 | SIMP: (845) implies: % 62.47/9.65 | (846) ~ (all_12_12 = e11) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (83), (756) imply: % 62.47/9.65 | (847) ~ (all_12_5 = e10) % 62.47/9.65 | % 62.47/9.65 | SIMP: (847) implies: % 62.47/9.65 | (848) ~ (all_12_5 = e10) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (82), (756) imply: % 62.47/9.65 | (849) ~ (all_12_6 = e10) % 62.47/9.65 | % 62.47/9.65 | SIMP: (849) implies: % 62.47/9.65 | (850) ~ (all_12_6 = e10) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (81), (756) imply: % 62.47/9.65 | (851) ~ (all_12_7 = e10) % 62.47/9.65 | % 62.47/9.65 | SIMP: (851) implies: % 62.47/9.65 | (852) ~ (all_12_7 = e10) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (80), (756), (758) imply: % 62.47/9.65 | (853) ~ (e12 = e10) % 62.47/9.65 | % 62.47/9.65 | SIMP: (853) implies: % 62.47/9.65 | (854) ~ (e12 = e10) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (79), (756) imply: % 62.47/9.65 | (855) ~ (all_12_12 = e10) % 62.47/9.65 | % 62.47/9.65 | SIMP: (855) implies: % 62.47/9.65 | (856) ~ (all_12_12 = e10) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (69), (758) imply: % 62.47/9.65 | (857) ~ (all_12_9 = e12) % 62.47/9.65 | % 62.47/9.65 | SIMP: (857) implies: % 62.47/9.65 | (858) ~ (all_12_9 = e12) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (68), (758) imply: % 62.47/9.65 | (859) ~ (all_12_10 = e12) % 62.47/9.65 | % 62.47/9.65 | SIMP: (859) implies: % 62.47/9.65 | (860) ~ (all_12_10 = e12) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (67), (758) imply: % 62.47/9.65 | (861) ~ (all_12_11 = e12) % 62.47/9.65 | % 62.47/9.65 | SIMP: (861) implies: % 62.47/9.65 | (862) ~ (all_12_11 = e12) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (66), (758) imply: % 62.47/9.65 | (863) ~ (all_12_12 = e12) % 62.47/9.65 | % 62.47/9.65 | SIMP: (863) implies: % 62.47/9.65 | (864) ~ (all_12_12 = e12) % 62.47/9.65 | % 62.47/9.65 | REDUCE: (455), (785) imply: % 62.47/9.65 | (865) h4(e11) = all_28_1 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (454), (784) imply: % 62.47/9.65 | (866) h4(e10) = all_28_3 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (453), (513) imply: % 62.47/9.65 | (867) h4(e12) = all_28_5 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (452), (783) imply: % 62.47/9.65 | (868) h4(all_12_12) = all_28_7 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (451), (782) imply: % 62.47/9.65 | (869) h4(all_12_1) = all_28_9 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (450), (781) imply: % 62.47/9.65 | (870) h4(all_12_5) = all_28_11 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (449), (496) imply: % 62.47/9.65 | (871) h4(all_12_9) = all_28_13 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (448), (492) imply: % 62.47/9.65 | (872) h4(all_12_13) = all_28_15 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (447), (488) imply: % 62.47/9.65 | (873) h4(all_12_2) = all_28_17 % 62.47/9.65 | % 62.47/9.65 | REDUCE: (446), (484) imply: % 62.47/9.66 | (874) h4(all_12_6) = all_28_19 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (445), (780) imply: % 62.47/9.66 | (875) h4(all_12_10) = all_28_21 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (444), (476) imply: % 62.47/9.66 | (876) h4(all_12_14) = all_28_23 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (443), (472) imply: % 62.47/9.66 | (877) h4(all_12_3) = all_28_26 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (442), (779) imply: % 62.47/9.66 | (878) h4(all_12_7) = all_28_29 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (441), (464) imply: % 62.47/9.66 | (879) h4(all_12_11) = all_28_32 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (440), (778) imply: % 62.47/9.66 | (880) h4(all_12_15) = all_28_35 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (46), (760) imply: % 62.47/9.66 | (881) h4(e11) = e21 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (427), (590) imply: % 62.47/9.66 | (882) op2(e23, e23) = all_28_0 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (426), (589), (590) imply: % 62.47/9.66 | (883) op2(e23, all_8_0) = all_28_2 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (425), (590), (786) imply: % 62.47/9.66 | (884) op2(e23, e21) = all_28_4 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (424), (587), (590) imply: % 62.47/9.66 | (885) op2(e23, all_8_2) = all_28_6 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (423), (589), (590) imply: % 62.47/9.66 | (886) op2(all_8_0, e23) = all_28_8 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (422), (589) imply: % 62.47/9.66 | (887) op2(all_8_0, all_8_0) = all_28_10 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (421), (589), (786) imply: % 62.47/9.66 | (888) op2(all_8_0, e21) = all_28_12 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (420), (587), (589) imply: % 62.47/9.66 | (889) op2(all_8_0, all_8_2) = all_28_14 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (419), (590), (786) imply: % 62.47/9.66 | (890) op2(e21, e23) = all_28_16 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (418), (589), (786) imply: % 62.47/9.66 | (891) op2(e21, all_8_0) = all_28_18 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (417), (786) imply: % 62.47/9.66 | (892) op2(e21, e21) = all_28_20 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (416), (587), (786) imply: % 62.47/9.66 | (893) op2(e21, all_8_2) = all_28_22 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (415), (587), (590) imply: % 62.47/9.66 | (894) op2(all_8_2, e23) = all_28_24 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (414), (587), (589) imply: % 62.47/9.66 | (895) op2(all_8_2, all_8_0) = all_28_27 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (413), (587), (786) imply: % 62.47/9.66 | (896) op2(all_8_2, e21) = all_28_30 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (412), (587) imply: % 62.47/9.66 | (897) op2(all_8_2, all_8_2) = all_28_33 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (411), (586) imply: % 62.47/9.66 | (898) op2(e22, e22) = all_28_36 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (410), (584), (586) imply: % 62.47/9.66 | (899) op2(e22, all_6_1) = all_28_40 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (409), (585), (586) imply: % 62.47/9.66 | (900) op2(all_6_0, e22) = all_28_44 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (408), (585) imply: % 62.47/9.66 | (901) op2(all_6_0, all_6_0) = all_28_46 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (407), (584), (586) imply: % 62.47/9.66 | (902) op2(all_6_1, e22) = all_28_52 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (406), (583) imply: % 62.47/9.66 | (903) op2(e21, e21) = all_28_72 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (405), (581), (583) imply: % 62.47/9.66 | (904) op2(e21, all_4_1) = all_28_76 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (404), (582), (583) imply: % 62.47/9.66 | (905) op2(all_4_0, e21) = all_28_80 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (403), (581) imply: % 62.47/9.66 | (906) op2(all_4_1, all_4_1) = all_28_92 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (402), (580) imply: % 62.47/9.66 | (907) op2(e20, e20) = all_28_108 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (401), (579), (580) imply: % 62.47/9.66 | (908) op2(all_10_1, e20) = all_28_132 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (400), (579) imply: % 62.47/9.66 | (909) op2(all_10_1, all_10_1) = all_28_138 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (307), (625) imply: % 62.47/9.66 | (910) op2(e21, e23) = all_22_0 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (306), (628) imply: % 62.47/9.66 | (911) op2(all_14_1, e22) = all_22_2 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (305), (547) imply: % 62.47/9.66 | (912) op2(all_14_2, e21) = all_22_4 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (304), (649) imply: % 62.47/9.66 | (913) op2(all_14_3, e20) = all_22_6 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (303), (571) imply: % 62.47/9.66 | (914) op2(e20, e23) = all_22_8 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (302), (764) imply: % 62.47/9.66 | (915) op2(all_6_1, e22) = all_22_10 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (301), (639) imply: % 62.47/9.66 | (916) op2(all_14_6, e21) = all_22_12 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (300), (531) imply: % 62.47/9.66 | (917) op2(all_14_7, e20) = all_22_14 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (299), (567) imply: % 62.47/9.66 | (918) op2(e22, e23) = all_22_16 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (298), (643) imply: % 62.47/9.66 | (919) op2(all_14_12, e23) = all_22_24 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (297), (550) imply: % 62.47/9.66 | (920) op2(all_14_13, e22) = all_22_26 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (296), (647) imply: % 62.47/9.66 | (921) op2(all_14_14, e21) = all_22_28 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (295), (763) imply: % 62.47/9.66 | (922) op2(all_10_1, e20) = all_22_30 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (43), (760) imply: % 62.47/9.66 | (923) op2(e23, e21) = all_8_0 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (272), (657) imply: % 62.47/9.66 | (924) op1(e11, e13) = all_20_0 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (271), (501) imply: % 62.47/9.66 | (925) op1(all_12_1, e12) = all_20_2 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (270), (669) imply: % 62.47/9.66 | (926) op1(all_12_2, e11) = all_20_4 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (269), (681) imply: % 62.47/9.66 | (927) op1(all_12_3, e10) = all_20_6 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (268), (762) imply: % 62.47/9.66 | (928) op1(e10, e13) = all_20_8 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (267), (662) imply: % 62.47/9.66 | (929) op1(all_12_5, e12) = all_20_10 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (266), (671) imply: % 62.47/9.66 | (930) op1(all_12_6, e11) = all_20_12 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (265), (682) imply: % 62.47/9.66 | (931) op1(all_12_7, e10) = all_20_14 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (264), (761) imply: % 62.47/9.66 | (932) op1(e12, e13) = all_20_16 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (263), (667) imply: % 62.47/9.66 | (933) op1(all_12_9, e12) = all_20_18 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (262), (477) imply: % 62.47/9.66 | (934) op1(all_12_10, e11) = all_20_20 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (261), (684) imply: % 62.47/9.66 | (935) op1(all_12_11, e10) = all_20_22 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (260), (505) imply: % 62.47/9.66 | (936) op1(all_12_12, e13) = all_20_24 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (259), (677) imply: % 62.47/9.66 | (937) op1(all_12_13, e12) = all_20_26 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (258), (679) imply: % 62.47/9.66 | (938) op1(all_12_14, e11) = all_20_28 % 62.47/9.66 | % 62.47/9.66 | REDUCE: (257), (686) imply: % 62.47/9.66 | (939) op1(all_12_15, e10) = all_20_30 % 62.47/9.66 | % 62.47/9.66 | BETA: splitting (210) gives: % 62.47/9.66 | % 62.47/9.66 | Case 1: % 62.47/9.66 | | % 62.47/9.66 | | (940) all_16_3 = e13 % 62.47/9.66 | | % 62.47/9.66 | | COMBINE_EQS: (738), (940) imply: % 62.47/9.66 | | (941) all_12_12 = e13 % 62.47/9.66 | | % 62.47/9.66 | | SIMP: (941) implies: % 62.47/9.66 | | (942) all_12_12 = e13 % 62.47/9.66 | | % 62.47/9.66 | | COMBINE_EQS: (505), (942) imply: % 62.47/9.66 | | (943) all_20_25 = e13 % 62.47/9.66 | | % 62.47/9.66 | | COMBINE_EQS: (765), (942) imply: % 62.47/9.66 | | (944) all_24_9 = e13 % 62.47/9.66 | | % 62.47/9.66 | | REDUCE: (59), (942) imply: % 62.47/9.66 | | (945) ~ (all_12_13 = e13) % 62.47/9.66 | | % 62.47/9.66 | | SIMP: (945) implies: % 62.47/9.66 | | (946) ~ (all_12_13 = e13) % 62.47/9.66 | | % 62.47/9.66 | | REDUCE: (58), (942) imply: % 62.47/9.66 | | (947) ~ (all_12_14 = e13) % 62.47/9.66 | | % 62.47/9.66 | | SIMP: (947) implies: % 62.47/9.66 | | (948) ~ (all_12_14 = e13) % 62.47/9.66 | | % 62.47/9.66 | | REDUCE: (57), (942) imply: % 62.47/9.66 | | (949) ~ (all_12_15 = e13) % 62.47/9.66 | | % 62.47/9.66 | | SIMP: (949) implies: % 62.47/9.66 | | (950) ~ (all_12_15 = e13) % 62.47/9.66 | | % 62.47/9.66 | | REDUCE: (864), (942) imply: % 62.47/9.66 | | (951) ~ (e13 = e12) % 62.47/9.66 | | % 62.47/9.66 | | REDUCE: (856), (942) imply: % 62.47/9.66 | | (952) ~ (e13 = e10) % 62.47/9.66 | | % 62.47/9.66 | | REDUCE: (868), (942) imply: % 62.47/9.66 | | (953) h4(e13) = all_28_7 % 62.47/9.66 | | % 62.47/9.66 | | REDUCE: (936), (942) imply: % 62.47/9.66 | | (954) op1(e13, e13) = all_20_24 % 62.47/9.66 | | % 62.47/9.66 | | BETA: splitting (382) gives: % 62.47/9.66 | | % 62.47/9.66 | | Case 1: % 62.47/9.66 | | | % 62.47/9.66 | | | (955) all_26_0 = e23 % 62.47/9.67 | | | % 62.47/9.67 | | | REF_CLOSE: (8), (578), (955) are inconsistent by sub-proof #134. % 62.47/9.67 | | | % 62.47/9.67 | | Case 2: % 62.47/9.67 | | | % 62.47/9.67 | | | (956) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 62.47/9.67 | | | % 62.47/9.67 | | | BETA: splitting (956) gives: % 62.47/9.67 | | | % 62.47/9.67 | | | Case 1: % 62.47/9.67 | | | | % 62.47/9.67 | | | | (957) all_26_1 = e23 % 62.47/9.67 | | | | % 62.47/9.67 | | | | COMBINE_EQS: (777), (957) imply: % 62.47/9.67 | | | | (958) e23 = e20 % 62.47/9.67 | | | | % 62.47/9.67 | | | | SIMP: (958) implies: % 62.47/9.67 | | | | (959) e23 = e20 % 62.47/9.67 | | | | % 62.47/9.67 | | | | REDUCE: (7), (959) imply: % 62.47/9.67 | | | | (960) $false % 62.47/9.67 | | | | % 62.47/9.67 | | | | CLOSE: (960) is inconsistent. % 62.47/9.67 | | | | % 62.47/9.67 | | | Case 2: % 62.47/9.67 | | | | % 62.47/9.67 | | | | (961) all_26_4 = e23 | all_26_9 = e23 % 62.47/9.67 | | | | % 62.47/9.67 | | | | BETA: splitting (961) gives: % 62.47/9.67 | | | | % 62.47/9.67 | | | | Case 1: % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | (962) all_26_4 = e23 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (775), (962) imply: % 62.47/9.67 | | | | | (963) e23 = e22 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (9), (963) imply: % 62.47/9.67 | | | | | (964) $false % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | CLOSE: (964) is inconsistent. % 62.47/9.67 | | | | | % 62.47/9.67 | | | | Case 2: % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | (965) all_26_9 = e23 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (565), (965) imply: % 62.47/9.67 | | | | | (966) all_14_12 = e23 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | SIMP: (966) implies: % 62.47/9.67 | | | | | (967) all_14_12 = e23 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (643), (967) imply: % 62.47/9.67 | | | | | (968) all_22_25 = e23 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (124), (967) imply: % 62.47/9.67 | | | | | (969) ~ (all_14_13 = e23) % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | SIMP: (969) implies: % 62.47/9.67 | | | | | (970) ~ (all_14_13 = e23) % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (123), (967) imply: % 62.47/9.67 | | | | | (971) ~ (all_14_14 = e23) % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | SIMP: (971) implies: % 62.47/9.67 | | | | | (972) ~ (all_14_14 = e23) % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (833), (967) imply: % 62.47/9.67 | | | | | (973) ~ (all_10_1 = e23) % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | SIMP: (973) implies: % 62.47/9.67 | | | | | (974) ~ (all_10_1 = e23) % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (919), (967) imply: % 62.47/9.67 | | | | | (975) op2(e23, e23) = all_22_24 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (178), (967) imply: % 62.47/9.67 | | | | | (976) op2(e23, e20) = e23 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (27) with all_12_3, all_20_8, e13, e10, % 62.47/9.67 | | | | | simplifying with (105), (928) gives: % 62.47/9.67 | | | | | (977) all_20_8 = all_12_3 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (27) with all_12_2, all_20_0, e13, e11, % 62.47/9.67 | | | | | simplifying with (109), (924) gives: % 62.47/9.67 | | | | | (978) all_20_0 = all_12_2 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (27) with all_12_1, all_20_16, e13, e12, % 62.47/9.67 | | | | | simplifying with (113), (932) gives: % 62.47/9.67 | | | | | (979) all_20_16 = all_12_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (27) with e11, all_20_24, e13, e13, % 62.47/9.67 | | | | | simplifying with (14), (954) gives: % 62.47/9.67 | | | | | (980) all_20_24 = e11 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_10_1, all_28_108, e20, e20, % 62.47/9.67 | | | | | simplifying with (50), (907) gives: % 62.47/9.67 | | | | | (981) all_28_108 = all_10_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_14_3, all_22_8, e23, e20, % 62.47/9.67 | | | | | simplifying with (169), (914) gives: % 62.47/9.67 | | | | | (982) all_22_8 = all_14_3 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_4_1, all_28_20, e21, e21, % 62.47/9.67 | | | | | simplifying with (30), (892) gives: % 62.47/9.67 | | | | | (983) all_28_20 = all_4_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_28_72, all_28_20, e21, e21, % 62.47/9.67 | | | | | simplifying with (892), (903) gives: % 62.47/9.67 | | | | | (984) all_28_20 = all_28_72 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_14_2, all_28_16, e23, e21, % 62.47/9.67 | | | | | simplifying with (173), (890) gives: % 62.47/9.67 | | | | | (985) all_28_16 = all_14_2 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_22_0, all_28_16, e23, e21, % 62.47/9.67 | | | | | simplifying with (890), (910) gives: % 62.47/9.67 | | | | | (986) all_28_16 = all_22_0 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_4_0, all_28_76, all_4_1, e21, % 62.47/9.67 | | | | | simplifying with (31), (904) gives: % 62.47/9.67 | | | | | (987) all_28_76 = all_4_0 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_6_1, all_28_36, e22, e22, % 62.47/9.67 | | | | | simplifying with (36), (898) gives: % 62.47/9.67 | | | | | (988) all_28_36 = all_6_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_14_1, all_22_16, e23, e22, % 62.47/9.67 | | | | | simplifying with (177), (918) gives: % 62.47/9.67 | | | | | (989) all_22_16 = all_14_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_6_0, all_28_40, all_6_1, e22, % 62.47/9.67 | | | | | simplifying with (37), (899) gives: % 62.47/9.67 | | | | | (990) all_28_40 = all_6_0 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with e22, all_28_4, e21, e23, % 62.47/9.67 | | | | | simplifying with (15), (884) gives: % 62.47/9.67 | | | | | (991) all_28_4 = e22 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_8_0, all_28_4, e21, e23, % 62.47/9.67 | | | | | simplifying with (884), (923) gives: % 62.47/9.67 | | | | | (992) all_28_4 = all_8_0 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with e21, all_28_0, e23, e23, % 62.47/9.67 | | | | | simplifying with (17), (882) gives: % 62.47/9.67 | | | | | (993) all_28_0 = e21 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_22_24, all_28_0, e23, e23, % 62.47/9.67 | | | | | simplifying with (882), (975) gives: % 62.47/9.67 | | | | | (994) all_28_0 = all_22_24 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_8_2, all_28_2, all_8_0, e23, % 62.47/9.67 | | | | | simplifying with (44), (883) gives: % 62.47/9.67 | | | | | (995) all_28_2 = all_8_2 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_22_10, all_28_52, e22, % 62.47/9.67 | | | | | all_6_1, simplifying with (902), (915) gives: % 62.47/9.67 | | | | | (996) all_28_52 = all_22_10 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_22_30, all_28_132, e20, % 62.47/9.67 | | | | | all_10_1, simplifying with (908), (922) gives: % 62.47/9.67 | | | | | (997) all_28_132 = all_22_30 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (26) with all_8_2, all_28_3, e10, % 62.47/9.67 | | | | | simplifying with (45), (866) gives: % 62.47/9.67 | | | | | (998) all_28_3 = all_8_2 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (26) with e21, all_28_1, e11, simplifying % 62.47/9.67 | | | | | with (865), (881) gives: % 62.47/9.67 | | | | | (999) all_28_1 = e21 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (26) with all_8_0, all_28_5, e12, % 62.47/9.67 | | | | | simplifying with (47), (867) gives: % 62.47/9.67 | | | | | (1000) all_28_5 = all_8_0 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (26) with e23, all_28_7, e13, simplifying % 62.47/9.67 | | | | | with (48), (953) gives: % 62.47/9.67 | | | | | (1001) all_28_7 = e23 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (993), (994) imply: % 62.47/9.67 | | | | | (1002) all_22_24 = e21 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (991), (992) imply: % 62.47/9.67 | | | | | (1003) all_8_0 = e22 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (985), (986) imply: % 62.47/9.67 | | | | | (1004) all_22_0 = all_14_2 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | SIMP: (1004) implies: % 62.47/9.67 | | | | | (1005) all_22_0 = all_14_2 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (983), (984) imply: % 62.47/9.67 | | | | | (1006) all_28_72 = all_4_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | SIMP: (1006) implies: % 62.47/9.67 | | | | | (1007) all_28_72 = all_4_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (589), (1003) imply: % 62.47/9.67 | | | | | (1008) all_28_28 = e22 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (1000), (1003) imply: % 62.47/9.67 | | | | | (1009) all_28_5 = e22 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (47), (1003) imply: % 62.47/9.67 | | | | | (1010) h4(e12) = e22 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (887), (1003) imply: % 62.47/9.67 | | | | | (1011) op2(e22, e22) = all_28_10 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (889), (1003) imply: % 62.47/9.67 | | | | | (1012) op2(e22, all_8_2) = all_28_14 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (886), (1003) imply: % 62.47/9.67 | | | | | (1013) op2(e22, e23) = all_28_8 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (888), (1003) imply: % 62.47/9.67 | | | | | (1014) op2(e22, e21) = all_28_12 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (895), (1003) imply: % 62.47/9.67 | | | | | (1015) op2(all_8_2, e22) = all_28_27 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (44), (1003) imply: % 62.47/9.67 | | | | | (1016) op2(e23, e22) = all_8_2 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (891), (1003) imply: % 62.47/9.67 | | | | | (1017) op2(e21, e22) = all_28_18 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_14_6, all_28_18, e22, e21, % 62.47/9.67 | | | | | simplifying with (172), (1017) gives: % 62.47/9.67 | | | | | (1018) all_28_18 = all_14_6 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_14_9, all_28_12, e21, e22, % 62.47/9.67 | | | | | simplifying with (175), (1014) gives: % 62.47/9.67 | | | | | (1019) all_28_12 = all_14_9 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_6_1, all_28_10, e22, e22, % 62.47/9.67 | | | | | simplifying with (36), (1011) gives: % 62.47/9.67 | | | | | (1020) all_28_10 = all_6_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with all_14_1, all_28_8, e23, e22, % 62.47/9.67 | | | | | simplifying with (177), (1013) gives: % 62.47/9.67 | | | | | (1021) all_28_8 = all_14_1 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | GROUND_INST: instantiating (28) with e20, all_8_2, e22, e23, % 62.47/9.67 | | | | | simplifying with (16), (1016) gives: % 62.47/9.67 | | | | | (1022) all_8_2 = e20 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (587), (1022) imply: % 62.47/9.67 | | | | | (1023) all_28_34 = e20 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (998), (1022) imply: % 62.47/9.67 | | | | | (1024) all_28_3 = e20 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | COMBINE_EQS: (995), (1022) imply: % 62.47/9.67 | | | | | (1025) all_28_2 = e20 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (45), (1022) imply: % 62.47/9.67 | | | | | (1026) h4(e10) = e20 % 62.47/9.67 | | | | | % 62.47/9.67 | | | | | REDUCE: (897), (1022) imply: % 62.47/9.68 | | | | | (1027) op2(e20, e20) = all_28_33 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | REDUCE: (894), (1022) imply: % 62.47/9.68 | | | | | (1028) op2(e20, e23) = all_28_24 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | REDUCE: (1015), (1022) imply: % 62.47/9.68 | | | | | (1029) op2(e20, e22) = all_28_27 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | REDUCE: (896), (1022) imply: % 62.47/9.68 | | | | | (1030) op2(e20, e21) = all_28_30 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | REDUCE: (885), (1022) imply: % 62.47/9.68 | | | | | (1031) op2(e23, e20) = all_28_6 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | REDUCE: (1012), (1022) imply: % 62.47/9.68 | | | | | (1032) op2(e22, e20) = all_28_14 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | REDUCE: (893), (1022) imply: % 62.47/9.68 | | | | | (1033) op2(e21, e20) = all_28_22 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | GROUND_INST: instantiating (28) with all_10_1, all_28_33, e20, e20, % 62.47/9.68 | | | | | simplifying with (50), (1027) gives: % 62.47/9.68 | | | | | (1034) all_28_33 = all_10_1 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | GROUND_INST: instantiating (28) with all_14_11, all_28_30, e21, e20, % 62.47/9.68 | | | | | simplifying with (167), (1030) gives: % 62.47/9.68 | | | | | (1035) all_28_30 = all_14_11 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | GROUND_INST: instantiating (28) with all_14_7, all_28_27, e22, e20, % 62.47/9.68 | | | | | simplifying with (168), (1029) gives: % 62.47/9.68 | | | | | (1036) all_28_27 = all_14_7 % 62.47/9.68 | | | | | % 62.47/9.68 | | | | | GROUND_INST: instantiating (28) with all_14_3, all_28_24, e23, e20, % 62.70/9.68 | | | | | simplifying with (169), (1028) gives: % 62.70/9.68 | | | | | (1037) all_28_24 = all_14_3 % 62.70/9.68 | | | | | % 62.70/9.68 | | | | | GROUND_INST: instantiating (28) with all_14_14, all_28_22, e20, e21, % 62.70/9.68 | | | | | simplifying with (170), (1033) gives: % 62.70/9.68 | | | | | (1038) all_28_22 = all_14_14 % 62.70/9.68 | | | | | % 62.70/9.68 | | | | | GROUND_INST: instantiating (28) with all_14_13, all_28_14, e20, e22, % 62.70/9.68 | | | | | simplifying with (174), (1032) gives: % 62.70/9.68 | | | | | (1039) all_28_14 = all_14_13 % 62.70/9.68 | | | | | % 62.70/9.68 | | | | | GROUND_INST: instantiating (28) with e23, all_28_6, e20, e23, % 62.70/9.68 | | | | | simplifying with (976), (1031) gives: % 62.70/9.68 | | | | | (1040) all_28_6 = e23 % 62.70/9.68 | | | | | % 62.70/9.68 | | | | | BETA: splitting (206) gives: % 62.70/9.68 | | | | | % 62.70/9.68 | | | | | Case 1: % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | | (1041) all_16_7 = e13 % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | | COMBINE_EQS: (740), (1041) imply: % 62.70/9.68 | | | | | | (1042) all_12_13 = e13 % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | | REDUCE: (946), (1042) imply: % 62.70/9.68 | | | | | | (1043) $false % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | | CLOSE: (1043) is inconsistent. % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | Case 2: % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | | (1044) ~ (all_16_7 = e13) % 62.70/9.68 | | | | | | (1045) all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10 % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | | BETA: splitting (329) gives: % 62.70/9.68 | | | | | | % 62.70/9.68 | | | | | | Case 1: % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | (1046) all_24_15 = e10 % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | COMBINE_EQS: (458), (1046) imply: % 62.70/9.68 | | | | | | | (1047) all_12_15 = e10 % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | SIMP: (1047) implies: % 62.70/9.68 | | | | | | | (1048) all_12_15 = e10 % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | COMBINE_EQS: (686), (1048) imply: % 62.70/9.68 | | | | | | | (1049) all_20_31 = e10 % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | REDUCE: (84), (1048) imply: % 62.70/9.68 | | | | | | | (1050) ~ (all_12_3 = e10) % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | REDUCE: (60), (1048) imply: % 62.70/9.68 | | | | | | | (1051) ~ (all_12_11 = e10) % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | REDUCE: (950), (1048) imply: % 62.70/9.68 | | | | | | | (1052) ~ (e13 = e10) % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | BETA: splitting (199) gives: % 62.70/9.68 | | | | | | | % 62.70/9.68 | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | % 62.70/9.68 | | | | | | | | (1053) all_16_14 = e13 % 62.70/9.68 | | | | | | | | % 62.70/9.68 | | | | | | | | COMBINE_EQS: (737), (1053) imply: % 62.70/9.68 | | | | | | | | (1054) all_12_11 = e13 % 62.70/9.68 | | | | | | | | % 62.70/9.68 | | | | | | | | COMBINE_EQS: (684), (1054) imply: % 62.70/9.68 | | | | | | | | (1055) all_20_23 = e13 % 62.70/9.68 | | | | | | | | % 62.70/9.68 | | | | | | | | COMBINE_EQS: (621), (1054) imply: % 62.70/9.68 | | | | | | | | (1056) all_24_14 = e13 % 62.70/9.68 | | | | | | | | % 62.70/9.68 | | | | | | | | REDUCE: (85), (1054) imply: % 62.70/9.68 | | | | | | | | (1057) ~ (all_12_3 = e13) % 62.70/9.68 | | | | | | | | % 62.70/9.68 | | | | | | | | BETA: splitting (201) gives: % 62.70/9.68 | | | | | | | | % 62.70/9.68 | | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | | % 62.70/9.68 | | | | | | | | | (1058) all_16_12 = e13 % 62.70/9.68 | | | | | | | | | % 62.70/9.68 | | | | | | | | | REF_CLOSE: (724), (1057), (1058) are inconsistent by sub-proof % 62.70/9.68 | | | | | | | | | #133. % 62.70/9.68 | | | | | | | | | % 62.70/9.68 | | | | | | | | Case 2: % 62.70/9.68 | | | | | | | | | % 62.70/9.68 | | | | | | | | | (1059) ~ (all_16_12 = e13) % 62.70/9.68 | | | | | | | | | (1060) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 62.70/9.68 | | | | | | | | | % 62.70/9.68 | | | | | | | | | BETA: splitting (1060) gives: % 62.70/9.68 | | | | | | | | | % 62.70/9.68 | | | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | (1061) all_16_12 = e12 % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | COMBINE_EQS: (724), (1061) imply: % 62.70/9.68 | | | | | | | | | | (1062) all_12_3 = e12 % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | SIMP: (1062) implies: % 62.70/9.68 | | | | | | | | | | (1063) all_12_3 = e12 % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | COMBINE_EQS: (681), (1063) imply: % 62.70/9.68 | | | | | | | | | | (1064) all_20_7 = e12 % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | COMBINE_EQS: (617), (1063) imply: % 62.70/9.68 | | | | | | | | | | (1065) all_24_12 = e12 % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | REDUCE: (94), (1063) imply: % 62.70/9.68 | | | | | | | | | | (1066) ~ (all_12_1 = e12) % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | REDUCE: (86), (1063) imply: % 62.70/9.68 | | | | | | | | | | (1067) ~ (all_12_7 = e12) % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | SIMP: (1067) implies: % 62.70/9.68 | | | | | | | | | | (1068) ~ (all_12_7 = e12) % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | REDUCE: (1057), (1063) imply: % 62.70/9.68 | | | | | | | | | | (1069) ~ (e13 = e12) % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | BETA: splitting (330) gives: % 62.70/9.68 | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | (1070) all_24_12 = e11 % 62.70/9.68 | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | REF_CLOSE: (844), (1065), (1070) are inconsistent by % 62.70/9.68 | | | | | | | | | | | sub-proof #132. % 62.70/9.68 | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | Case 2: % 62.70/9.68 | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | (1071) ~ (all_24_12 = e11) % 62.70/9.68 | | | | | | | | | | | (1072) all_24_13 = e11 | all_24_14 = e11 | all_24_15 = % 62.70/9.68 | | | | | | | | | | | e11 % 62.70/9.68 | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | BETA: splitting (1072) gives: % 62.70/9.68 | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | (1073) all_24_13 = e11 % 62.70/9.68 | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | COMBINE_EQS: (466), (1073) imply: % 62.70/9.68 | | | | | | | | | | | | (1074) all_12_7 = e11 % 62.70/9.68 | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | SIMP: (1074) implies: % 62.70/9.68 | | | | | | | | | | | | (1075) all_12_7 = e11 % 62.70/9.68 | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | COMBINE_EQS: (682), (1075) imply: % 62.70/9.68 | | | | | | | | | | | | (1076) all_20_15 = e11 % 62.70/9.68 | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | REDUCE: (74), (1075) imply: % 62.70/9.68 | | | | | | | | | | | | (1077) ~ (all_12_6 = e11) % 62.70/9.68 | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | BETA: splitting (273) gives: % 62.70/9.68 | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | (1078) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 62.70/9.68 | | | | | | | | | | | | | (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 62.70/9.68 | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | BETA: splitting (1078) gives: % 62.70/9.68 | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | (1079) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 62.70/9.68 | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | REF_CLOSE: (501), (669), (839), (854), (1064), (1066), (1079) % 62.70/9.68 | | | | | | | | | | | | | | are inconsistent by sub-proof #130. % 62.70/9.68 | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | Case 2: % 62.70/9.68 | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | (1080) (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.70/9.68 | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.68 | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 62.70/9.68 | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | BETA: splitting (1080) gives: % 62.70/9.68 | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | Case 1: % 62.70/9.68 | | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | | (1081) all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 62.70/9.68 | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.70/9.68 | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10) % 62.70/9.68 | | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | | REF_CLOSE: (762), (952), (1081) are inconsistent by sub-proof % 62.70/9.68 | | | | | | | | | | | | | | | #129. % 62.70/9.68 | | | | | | | | | | | | | | | % 62.70/9.68 | | | | | | | | | | | | | | Case 2: % 62.70/9.68 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | (1082) (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | BETA: splitting (1082) gives: % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | Case 1: % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | (1083) all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10) % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | ALPHA: (1083) implies: % 62.70/9.69 | | | | | | | | | | | | | | | | (1084) all_20_13 = e11 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1084) imply: % 62.70/9.69 | | | | | | | | | | | | | | | | (1085) all_12_6 = e11 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | SIMP: (1085) implies: % 62.70/9.69 | | | | | | | | | | | | | | | | (1086) all_12_6 = e11 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | REDUCE: (1077), (1086) imply: % 62.70/9.69 | | | | | | | | | | | | | | | | (1087) $false % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | CLOSE: (1087) is inconsistent. % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | (1088) all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12) % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | ALPHA: (1088) implies: % 62.70/9.69 | | | | | | | | | | | | | | | | (1089) all_20_15 = e10 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | COMBINE_EQS: (1076), (1089) imply: % 62.70/9.69 | | | | | | | | | | | | | | | | (1090) e11 = e10 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | SIMP: (1090) implies: % 62.70/9.69 | | | | | | | | | | | | | | | | (1091) e11 = e10 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | REDUCE: (842), (1091) imply: % 62.70/9.69 | | | | | | | | | | | | | | | | (1092) $false % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | CLOSE: (1092) is inconsistent. % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | (1093) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 62.70/9.69 | | | | | | | | | | | | | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 62.70/9.69 | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | BETA: splitting (1093) gives: % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | Case 1: % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | (1094) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | BETA: splitting (1094) gives: % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | Case 1: % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | (1095) all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | REF_CLOSE: (761), (951), (1095) are inconsistent by sub-proof % 62.70/9.69 | | | | | | | | | | | | | | | #128. % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | (1096) (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | BETA: splitting (1096) gives: % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | Case 1: % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | (1097) all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | REF_CLOSE: (667), (858), (1097) are inconsistent by sub-proof % 62.70/9.69 | | | | | | | | | | | | | | | | #127. % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | (1098) all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.69 | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11) % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | ALPHA: (1098) implies: % 62.70/9.69 | | | | | | | | | | | | | | | | (1099) all_20_23 = e10 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | COMBINE_EQS: (1055), (1099) imply: % 62.70/9.69 | | | | | | | | | | | | | | | | (1100) e13 = e10 % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | REDUCE: (952), (1100) imply: % 62.70/9.69 | | | | | | | | | | | | | | | | (1101) $false % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | | CLOSE: (1101) is inconsistent. % 62.70/9.69 | | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | (1102) (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.69 | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 62.70/9.69 | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | | REF_CLOSE: (1049), (1102) are inconsistent by sub-proof #126. % 62.70/9.69 | | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | (1103) all_24_14 = e11 | all_24_15 = e11 % 62.70/9.69 | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | BETA: splitting (1103) gives: % 62.70/9.69 | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | Case 1: % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | (1104) all_24_14 = e11 % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | COMBINE_EQS: (1056), (1104) imply: % 62.70/9.69 | | | | | | | | | | | | | (1105) e13 = e11 % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | SIMP: (1105) implies: % 62.70/9.69 | | | | | | | | | | | | | (1106) e13 = e11 % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | COMBINE_EQS: (1055), (1106) imply: % 62.70/9.69 | | | | | | | | | | | | | (1107) all_20_23 = e11 % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | REF_CLOSE: (78), (208), (273), (345), (466), (498), (501), % 62.70/9.69 | | | | | | | | | | | | | (610), (662), (667), (669), (671), (682), (728), % 62.70/9.69 | | | | | | | | | | | | | (761), (762), (768), (839), (842), (844), (848), % 62.70/9.69 | | | | | | | | | | | | | (852), (854), (858), (951), (952), (1049), (1064), % 62.70/9.69 | | | | | | | | | | | | | (1066), (1068), (1107) are inconsistent by % 62.70/9.69 | | | | | | | | | | | | | sub-proof #120. % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | (1108) all_24_15 = e11 % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | COMBINE_EQS: (1046), (1108) imply: % 62.70/9.69 | | | | | | | | | | | | | (1109) e11 = e10 % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | REDUCE: (842), (1109) imply: % 62.70/9.69 | | | | | | | | | | | | | (1110) $false % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | | CLOSE: (1110) is inconsistent. % 62.70/9.69 | | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | | % 62.70/9.69 | | | | | | | | | Case 2: % 62.70/9.69 | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | (1111) all_16_12 = e11 | all_16_12 = e10 % 62.70/9.69 | | | | | | | | | | % 62.70/9.69 | | | | | | | | | | REF_CLOSE: (724), (841), (1050), (1111) are inconsistent by % 62.70/9.69 | | | | | | | | | | sub-proof #119. % 62.70/9.69 | | | | | | | | | | % 62.70/9.69 | | | | | | | | | End of split % 62.70/9.69 | | | | | | | | | % 62.70/9.69 | | | | | | | | End of split % 62.70/9.69 | | | | | | | | % 62.70/9.70 | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | % 62.70/9.70 | | | | | | | | (1112) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10 % 62.70/9.70 | | | | | | | | % 62.70/9.70 | | | | | | | | BETA: splitting (1112) gives: % 62.70/9.70 | | | | | | | | % 62.70/9.70 | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | | (1113) all_16_14 = e12 % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | | COMBINE_EQS: (737), (1113) imply: % 62.70/9.70 | | | | | | | | | (1114) all_12_11 = e12 % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | | REDUCE: (862), (1114) imply: % 62.70/9.70 | | | | | | | | | (1115) $false % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | | CLOSE: (1115) is inconsistent. % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | | (1116) ~ (all_16_14 = e12) % 62.70/9.70 | | | | | | | | | (1117) all_16_14 = e11 | all_16_14 = e10 % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | | BETA: splitting (1117) gives: % 62.70/9.70 | | | | | | | | | % 62.70/9.70 | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | (1118) all_16_14 = e11 % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | COMBINE_EQS: (737), (1118) imply: % 62.70/9.70 | | | | | | | | | | (1119) all_12_11 = e11 % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | COMBINE_EQS: (684), (1119) imply: % 62.70/9.70 | | | | | | | | | | (1120) all_20_23 = e11 % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | COMBINE_EQS: (621), (1119) imply: % 62.70/9.70 | | | | | | | | | | (1121) all_24_14 = e11 % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | REDUCE: (64), (1119) imply: % 62.70/9.70 | | | | | | | | | | (1122) ~ (all_12_9 = e11) % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | REDUCE: (62), (1119) imply: % 62.70/9.70 | | | | | | | | | | (1123) ~ (all_12_10 = e11) % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | BETA: splitting (201) gives: % 62.70/9.70 | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | (1124) all_16_12 = e13 % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | COMBINE_EQS: (724), (1124) imply: % 62.70/9.70 | | | | | | | | | | | (1125) all_12_3 = e13 % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | COMBINE_EQS: (977), (1125) imply: % 62.70/9.70 | | | | | | | | | | | (1126) all_20_8 = e13 % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | COMBINE_EQS: (681), (1125) imply: % 62.70/9.70 | | | | | | | | | | | (1127) all_20_7 = e13 % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | COMBINE_EQS: (617), (1125) imply: % 62.70/9.70 | | | | | | | | | | | (1128) all_24_12 = e13 % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | REDUCE: (94), (1125) imply: % 62.70/9.70 | | | | | | | | | | | (1129) ~ (all_12_1 = e13) % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | REDUCE: (90), (1125) imply: % 62.70/9.70 | | | | | | | | | | | (1130) ~ (all_12_2 = e13) % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | REDUCE: (86), (1125) imply: % 62.70/9.70 | | | | | | | | | | | (1131) ~ (all_12_7 = e13) % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | SIMP: (1131) implies: % 62.70/9.70 | | | | | | | | | | | (1132) ~ (all_12_7 = e13) % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | BETA: splitting (200) gives: % 62.70/9.70 | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | (1133) all_16_13 = e13 % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | COMBINE_EQS: (730), (1133) imply: % 62.70/9.70 | | | | | | | | | | | | (1134) all_12_7 = e13 % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | REDUCE: (1132), (1134) imply: % 62.70/9.70 | | | | | | | | | | | | (1135) $false % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | CLOSE: (1135) is inconsistent. % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | (1136) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = % 62.70/9.70 | | | | | | | | | | | | e10 % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | BETA: splitting (1136) gives: % 62.70/9.70 | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | (1137) all_16_13 = e12 % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | COMBINE_EQS: (730), (1137) imply: % 62.70/9.70 | | | | | | | | | | | | | (1138) all_12_7 = e12 % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | COMBINE_EQS: (682), (1138) imply: % 62.70/9.70 | | | | | | | | | | | | | (1139) all_20_15 = e12 % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | REDUCE: (77), (1138) imply: % 62.70/9.70 | | | | | | | | | | | | | (1140) ~ (all_12_5 = e12) % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | REDUCE: (74), (1138) imply: % 62.70/9.70 | | | | | | | | | | | | | (1141) ~ (all_12_6 = e12) % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | REDUCE: (931), (1138) imply: % 62.70/9.70 | | | | | | | | | | | | | (1142) op1(e12, e10) = all_20_14 % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_12_13, all_20_14, e10, % 62.70/9.70 | | | | | | | | | | | | | e12, simplifying with (110), (1142) gives: % 62.70/9.70 | | | | | | | | | | | | | (1143) all_20_14 = all_12_13 % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | BETA: splitting (205) gives: % 62.70/9.70 | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | (1144) all_16_8 = e13 % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | COMBINE_EQS: (722), (1144) imply: % 62.70/9.70 | | | | | | | | | | | | | | (1145) all_12_2 = e13 % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | REDUCE: (1130), (1145) imply: % 62.70/9.70 | | | | | | | | | | | | | | (1146) $false % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | CLOSE: (1146) is inconsistent. % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | (1147) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | BETA: splitting (207) gives: % 62.70/9.70 | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | (1148) all_16_6 = e13 % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | COMBINE_EQS: (734), (1148) imply: % 62.70/9.70 | | | | | | | | | | | | | | | (1149) all_12_9 = e13 % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | COMBINE_EQS: (667), (1149) imply: % 62.70/9.70 | | | | | | | | | | | | | | | (1150) all_20_19 = e13 % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | REDUCE: (76), (1149) imply: % 62.70/9.70 | | | | | | | | | | | | | | | (1151) ~ (all_12_5 = e13) % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | REDUCE: (65), (1149) imply: % 62.70/9.70 | | | | | | | | | | | | | | | (1152) ~ (all_12_10 = e13) % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | SIMP: (1152) implies: % 62.70/9.70 | | | | | | | | | | | | | | | (1153) ~ (all_12_10 = e13) % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | BETA: splitting (203) gives: % 62.70/9.70 | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | (1154) all_16_10 = e13 % 62.70/9.70 | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | REF_CLOSE: (735), (1153), (1154) are inconsistent by % 62.70/9.70 | | | | | | | | | | | | | | | | sub-proof #118. % 62.70/9.70 | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | (1155) ~ (all_16_10 = e13) % 62.70/9.70 | | | | | | | | | | | | | | | | (1156) all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 62.70/9.70 | | | | | | | | | | | | | | | | e10 % 62.70/9.70 | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | BETA: splitting (1156) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | (1157) all_16_10 = e12 % 62.70/9.70 | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (860), (1157) are inconsistent by sub-proof % 62.70/9.70 | | | | | | | | | | | | | | | | | #117. % 62.70/9.70 | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | (1158) ~ (all_16_10 = e12) % 62.70/9.70 | | | | | | | | | | | | | | | | | (1159) all_16_10 = e11 | all_16_10 = e10 % 62.70/9.70 | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | (1160) all_16_10 = e11 % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (1123), (1160) are inconsistent by % 62.70/9.70 | | | | | | | | | | | | | | | | | | sub-proof #116. % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | (1161) all_16_10 = e10 % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (1161) imply: % 62.70/9.70 | | | | | | | | | | | | | | | | | | (1162) all_12_10 = e10 % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | SIMP: (1162) implies: % 62.70/9.70 | | | | | | | | | | | | | | | | | | (1163) all_12_10 = e10 % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | REDUCE: (88), (1163) imply: % 62.70/9.70 | | | | | | | | | | | | | | | | | | (1164) ~ (all_12_2 = e10) % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | (1165) all_16_5 = e13 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1165) imply: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | (1166) all_12_5 = e13 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | SIMP: (1166) implies: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | (1167) all_12_5 = e13 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | REDUCE: (1151), (1167) imply: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | (1168) $false % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | CLOSE: (1168) is inconsistent. % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | (1169) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | (1170) all_16_5 = e12 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (1140), (1170) are inconsistent by % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | sub-proof #115. % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | (1171) all_16_5 = e11 | all_16_5 = e10 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1171) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | (1172) all_16_5 = e11 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1172) imply: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | (1173) all_12_5 = e11 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (1173) implies: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | (1174) all_12_5 = e11 % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1174) imply: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | (1175) ~ (all_12_6 = e11) % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (1175) implies: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | (1176) ~ (all_12_6 = e11) % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (1177) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1177) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (1178) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1178) gives: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10) % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.70 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1179) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_20_3 = e12 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (1180) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_12_1 = e12 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1181) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_12_1 = e12 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1182) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1183) ~ (all_12_2 = e12) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1183) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1184) ~ (all_12_2 = e12) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1147) gives: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_16_8 = e12 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (722), (1185) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_12_2 = e12 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1186) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_12_2 = e12 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1184), (1187) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1188) $false % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1188) is inconsistent. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_16_8 = e11 | all_16_8 = e10 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (839), (1164), (1189) are inconsistent by % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1190) (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1190) gives: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1191) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_20_5 = e11 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1192) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_12_2 = e11 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (1193) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1194) $false % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1194) is inconsistent. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1195) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_20_7 = e10 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1127), (1196) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1197) e13 = e10 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (1197) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1198) $false % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1198) is inconsistent. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (1199) (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1199) gives: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1200) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_20_9 = e13 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (952), (1201) are inconsistent by sub-proof % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | #113. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1202) (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1203) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_20_13 = e11 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1204) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_12_6 = e11 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1176), (1205) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1206) $false % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1206) is inconsistent. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1207) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_20_15 = e10 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1139), (1208) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1209) e12 = e10 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (1209) imply: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1210) $false % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1210) is inconsistent. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (1211) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1211) gives: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (1212) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1212) gives: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1213) implies: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_20_17 = e13 % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (761), (951), (1214) are inconsistent by sub-proof % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | #122. % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (1215) (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1215) gives: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 62.70/9.71 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1216) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_20_19 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1150), (1217) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1218) e13 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1218) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1219) e13 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (1219) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1220) $false % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1220) is inconsistent. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (842), (1120), (1221) are inconsistent by % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #121. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (1222) (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1049), (1222) are inconsistent by sub-proof #126. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1223) all_16_5 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (848), (1223) are inconsistent by sub-proof % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | #112. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | End of split % 62.70/9.72 | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | (1224) all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | BETA: splitting (1224) gives: % 62.70/9.72 | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | (1225) all_16_6 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (734), (1225) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | (1226) all_12_9 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | REDUCE: (858), (1226) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | (1227) $false % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | CLOSE: (1227) is inconsistent. % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | (1228) all_16_6 = e11 | all_16_6 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | BETA: splitting (1228) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | (1229) all_16_6 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (734), (1229) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | (1230) all_12_9 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | REDUCE: (1122), (1230) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | (1231) $false % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | CLOSE: (1231) is inconsistent. % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | (1232) all_16_6 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (734), (1232) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | (1233) all_12_9 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (1233) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | (1234) all_24_5 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | REDUCE: (92), (1233) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | (1235) ~ (all_12_1 = e10) % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | REDUCE: (65), (1233) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | (1236) ~ (all_12_10 = e10) % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | SIMP: (1236) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | (1237) ~ (all_12_10 = e10) % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | BETA: splitting (203) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | (1238) all_16_10 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (1238) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | (1239) all_12_10 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | SIMP: (1239) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | | (1240) all_12_10 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | REDUCE: (73), (1240) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | (1241) ~ (all_12_6 = e13) % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | REDUCE: (107), (1240) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | (1242) op1(e11, e11) = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | (1243) all_16_9 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (729), (1241), (1243) are inconsistent by % 62.70/9.72 | | | | | | | | | | | | | | | | | | | sub-proof #111. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | (1244) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | (1245) all_16_4 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (720), (1129), (1245) are inconsistent by % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | sub-proof #110. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | (1246) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1246) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1247) all_16_4 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (1247) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1248) all_12_1 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | SIMP: (1248) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1249) all_12_1 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (1249) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1250) all_24_2 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1249) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1251) ~ (all_12_5 = e12) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1249) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1252) ~ (all_12_13 = e12) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | SIMP: (1252) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | (1253) ~ (all_12_13 = e12) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1244) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | (1254) all_16_9 = e12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (729), (1141), (1254) are inconsistent by % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | sub-proof #109. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | (1255) ~ (all_16_9 = e12) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | (1256) all_16_9 = e11 | all_16_9 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1256) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (1257) all_16_9 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (729), (1257) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (1258) all_12_6 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1258) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (1259) all_20_13 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1258) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (1260) ~ (all_12_5 = e11) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (1258) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | (1261) op1(e11, e11) = all_20_12 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_16_5 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1262) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_12_5 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1263) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_12_5 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1264) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_20_11 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1264) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_24_3 = e13 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1260), (1264) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (e13 = e11) % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (1264) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | (1268) op1(e13, e12) = all_20_10 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_24_2 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1250), (1269) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1270) e12 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1270) implies: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1271) e12 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1271) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1272) $false % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1272) is inconsistent. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1273) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_24_3 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1266), (1267), (1274) are inconsistent by % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #108. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_24_5 = e11 | all_24_10 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_24_5 = e11 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1234), (1276) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) e11 = e10 % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1277) imply: % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) $false % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1278) is inconsistent. % 62.70/9.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_24_10 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (1279) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_12_13 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_12_13 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1143), (1281) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_20_14 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (1281) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) ~ (e13 = e11) % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e13, all_20_12, e11, e11, % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1242), (1261) gives: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_20_12 = e13 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e10, all_20_10, e12, e13, % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (1268) gives: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_20_10 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_20_8 = all_20_9 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1126), (1286) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_20_9 = e13 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (952), (1287) are inconsistent by sub-proof % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) ~ (all_20_8 = all_20_9) % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_20_10 = all_20_11 | all_20_12 = all_20_13 | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_14 = all_20_15 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_20_10 = all_20_11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1285), (1290) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_20_11 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1265), (1291) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) e13 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (1292) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) $false % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1293) is inconsistent. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_20_12 = all_20_13 | all_20_14 = all_20_15 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1294) gives: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_20_12 = all_20_13 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1284), (1295) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_20_13 = e13 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1259), (1267), (1296) are inconsistent by % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_20_14 = all_20_15 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1282), (1297) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_20_15 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1139), (1298) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) e12 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1299) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) $false % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1300) is inconsistent. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (848), (1140), (1260), (1301) are % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #123. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | (1302) all_16_9 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (729), (1302) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | (1303) all_12_6 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (850), (1303) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | (1304) $false % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1304) is inconsistent. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | (1305) all_16_4 = e11 | all_16_4 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (720), (837), (1235), (1305) are inconsistent by % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | sub-proof #106. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | (1306) all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 62.70/9.73 | | | | | | | | | | | | | | | | | | e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | BETA: splitting (1306) gives: % 62.70/9.73 | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | (1307) all_16_10 = e12 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (860), (1307) are inconsistent by sub-proof % 62.70/9.73 | | | | | | | | | | | | | | | | | | | #117. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | (1308) all_16_10 = e11 | all_16_10 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (1308) gives: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | (1309) all_16_10 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (1123), (1309) are inconsistent by % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | sub-proof #116. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | (1310) all_16_10 = e10 % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (1237), (1310) are inconsistent by % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 62.70/9.73 | | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | End of split % 62.70/9.73 | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | (1311) ~ (all_16_13 = e12) % 62.70/9.73 | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | REDUCE: (730), (1311) imply: % 62.70/9.73 | | | | | | | | | | | | | (1312) ~ (all_12_7 = e12) % 62.70/9.73 | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | BETA: splitting (331) gives: % 62.70/9.73 | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | (1313) all_24_12 = e12 % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | COMBINE_EQS: (1128), (1313) imply: % 62.70/9.73 | | | | | | | | | | | | | | (1314) e13 = e12 % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | SIMP: (1314) implies: % 62.70/9.73 | | | | | | | | | | | | | | (1315) e13 = e12 % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | REDUCE: (951), (1315) imply: % 62.70/9.73 | | | | | | | | | | | | | | (1316) $false % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | CLOSE: (1316) is inconsistent. % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | (1317) all_24_13 = e12 | all_24_14 = e12 | all_24_15 = % 62.70/9.73 | | | | | | | | | | | | | | e12 % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | BETA: splitting (1317) gives: % 62.70/9.73 | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | (1318) all_24_13 = e12 % 62.70/9.73 | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | REF_CLOSE: (466), (1312), (1318) are inconsistent by % 62.70/9.73 | | | | | | | | | | | | | | | sub-proof #125. % 62.70/9.73 | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | (1319) all_24_14 = e12 | all_24_15 = e12 % 62.70/9.73 | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | BETA: splitting (1319) gives: % 62.70/9.73 | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | Case 1: % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | (1320) all_24_14 = e12 % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (1121), (1320) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | (1321) e12 = e11 % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | REDUCE: (844), (1321) imply: % 62.70/9.73 | | | | | | | | | | | | | | | | (1322) $false % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | CLOSE: (1322) is inconsistent. % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | Case 2: % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | (1323) all_24_15 = e12 % 62.70/9.73 | | | | | | | | | | | | | | | | % 62.70/9.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (1046), (1323) imply: % 62.70/9.74 | | | | | | | | | | | | | | | | (1324) e12 = e10 % 62.70/9.74 | | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | | REDUCE: (854), (1324) imply: % 62.70/9.74 | | | | | | | | | | | | | | | | (1325) $false % 62.70/9.74 | | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | | CLOSE: (1325) is inconsistent. % 62.70/9.74 | | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | Case 2: % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | (1326) ~ (all_16_12 = e13) % 62.70/9.74 | | | | | | | | | | | (1327) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 62.70/9.74 | | | | | | | | | | | e10 % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | REDUCE: (724), (1326) imply: % 62.70/9.74 | | | | | | | | | | | (1328) ~ (all_12_3 = e13) % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | BETA: splitting (1327) gives: % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | (1329) all_16_12 = e12 % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | COMBINE_EQS: (724), (1329) imply: % 62.70/9.74 | | | | | | | | | | | | (1330) all_12_3 = e12 % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | COMBINE_EQS: (681), (1330) imply: % 62.70/9.74 | | | | | | | | | | | | (1331) all_20_7 = e12 % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | REDUCE: (94), (1330) imply: % 62.70/9.74 | | | | | | | | | | | | (1332) ~ (all_12_1 = e12) % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | REDUCE: (86), (1330) imply: % 62.70/9.74 | | | | | | | | | | | | (1333) ~ (all_12_7 = e12) % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | SIMP: (1333) implies: % 62.70/9.74 | | | | | | | | | | | | (1334) ~ (all_12_7 = e12) % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | REDUCE: (1328), (1330) imply: % 62.70/9.74 | | | | | | | | | | | | (1335) ~ (e13 = e12) % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | REF_CLOSE: (78), (208), (273), (345), (466), (498), (501), % 62.70/9.74 | | | | | | | | | | | | (610), (662), (667), (669), (671), (682), (728), % 62.70/9.74 | | | | | | | | | | | | (761), (762), (768), (839), (842), (844), (848), % 62.70/9.74 | | | | | | | | | | | | (852), (854), (858), (951), (952), (1049), (1120), % 62.70/9.74 | | | | | | | | | | | | (1331), (1332), (1334) are inconsistent by % 62.70/9.74 | | | | | | | | | | | | sub-proof #120. % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | Case 2: % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | (1336) all_16_12 = e11 | all_16_12 = e10 % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | REF_CLOSE: (724), (841), (1050), (1336) are inconsistent by % 62.70/9.74 | | | | | | | | | | | | sub-proof #119. % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | Case 2: % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | (1337) all_16_14 = e10 % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | COMBINE_EQS: (737), (1337) imply: % 62.70/9.74 | | | | | | | | | | (1338) all_12_11 = e10 % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | REDUCE: (1051), (1338) imply: % 62.70/9.74 | | | | | | | | | | (1339) $false % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | CLOSE: (1339) is inconsistent. % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | End of split % 62.70/9.74 | | | | | | | | | % 62.70/9.74 | | | | | | | | End of split % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | End of split % 62.70/9.74 | | | | | | | % 62.70/9.74 | | | | | | Case 2: % 62.70/9.74 | | | | | | | % 62.70/9.74 | | | | | | | (1340) (all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) & % 62.70/9.74 | | | | | | | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10) % 62.70/9.74 | | | | | | | % 62.70/9.74 | | | | | | | ALPHA: (1340) implies: % 62.70/9.74 | | | | | | | (1341) all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10 % 62.70/9.74 | | | | | | | (1342) all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10 % 62.70/9.74 | | | | | | | % 62.70/9.74 | | | | | | | BETA: splitting (208) gives: % 62.70/9.74 | | | | | | | % 62.70/9.74 | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | (1343) all_16_5 = e13 % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | COMBINE_EQS: (728), (1343) imply: % 62.70/9.74 | | | | | | | | (1344) all_12_5 = e13 % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | SIMP: (1344) implies: % 62.70/9.74 | | | | | | | | (1345) all_12_5 = e13 % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | COMBINE_EQS: (662), (1345) imply: % 62.70/9.74 | | | | | | | | (1346) all_20_11 = e13 % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | COMBINE_EQS: (498), (1345) imply: % 62.70/9.74 | | | | | | | | (1347) all_24_3 = e13 % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | REDUCE: (93), (1345) imply: % 62.70/9.74 | | | | | | | | (1348) ~ (all_12_1 = e13) % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | REDUCE: (78), (1345) imply: % 62.70/9.74 | | | | | | | | (1349) ~ (all_12_6 = e13) % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | SIMP: (1349) implies: % 62.70/9.74 | | | | | | | | (1350) ~ (all_12_6 = e13) % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | REDUCE: (77), (1345) imply: % 62.70/9.74 | | | | | | | | (1351) ~ (all_12_7 = e13) % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | SIMP: (1351) implies: % 62.70/9.74 | | | | | | | | (1352) ~ (all_12_7 = e13) % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | REDUCE: (112), (1345) imply: % 62.70/9.74 | | | | | | | | (1353) op1(e12, e12) = e13 % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | BETA: splitting (209) gives: % 62.70/9.74 | | | | | | | | % 62.70/9.74 | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | % 62.70/9.74 | | | | | | | | | (1354) all_16_4 = e13 % 62.70/9.74 | | | | | | | | | % 62.70/9.74 | | | | | | | | | REF_CLOSE: (720), (1348), (1354) are inconsistent by sub-proof % 62.70/9.74 | | | | | | | | | #110. % 62.70/9.74 | | | | | | | | | % 62.70/9.74 | | | | | | | | Case 2: % 62.70/9.74 | | | | | | | | | % 62.70/9.74 | | | | | | | | | (1355) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 62.70/9.74 | | | | | | | | | % 62.70/9.74 | | | | | | | | | BETA: splitting (203) gives: % 62.70/9.74 | | | | | | | | | % 62.70/9.74 | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | (1356) all_16_10 = e13 % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | COMBINE_EQS: (735), (1356) imply: % 62.70/9.74 | | | | | | | | | | (1357) all_12_10 = e13 % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | SIMP: (1357) implies: % 62.70/9.74 | | | | | | | | | | (1358) all_12_10 = e13 % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | COMBINE_EQS: (477), (1358) imply: % 62.70/9.74 | | | | | | | | | | (1359) all_20_21 = e13 % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | COMBINE_EQS: (766), (1358) imply: % 62.70/9.74 | | | | | | | | | | (1360) all_24_8 = e13 % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | REDUCE: (62), (1358) imply: % 62.70/9.74 | | | | | | | | | | (1361) ~ (all_12_11 = e13) % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | SIMP: (1361) implies: % 62.70/9.74 | | | | | | | | | | (1362) ~ (all_12_11 = e13) % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | BETA: splitting (332) gives: % 62.70/9.74 | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | (1363) all_24_12 = e13 % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | COMBINE_EQS: (617), (1363) imply: % 62.70/9.74 | | | | | | | | | | | (1364) all_12_3 = e13 % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | SIMP: (1364) implies: % 62.70/9.74 | | | | | | | | | | | (1365) all_12_3 = e13 % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | COMBINE_EQS: (681), (1365) imply: % 62.70/9.74 | | | | | | | | | | | (1366) all_20_7 = e13 % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | REDUCE: (841), (1365) imply: % 62.70/9.74 | | | | | | | | | | | (1367) ~ (e13 = e11) % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | BETA: splitting (1341) gives: % 62.70/9.74 | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | (1368) all_24_12 = e10 % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | REF_CLOSE: (952), (1363), (1368) are inconsistent by % 62.70/9.74 | | | | | | | | | | | | sub-proof #104. % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | Case 2: % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | (1369) all_24_13 = e10 | all_24_14 = e10 % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | BETA: splitting (1369) gives: % 62.70/9.74 | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | (1370) all_24_13 = e10 % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | REF_CLOSE: (466), (852), (1370) are inconsistent by sub-proof % 62.70/9.74 | | | | | | | | | | | | | #103. % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | Case 2: % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | (1371) all_24_14 = e10 % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | COMBINE_EQS: (621), (1371) imply: % 62.70/9.74 | | | | | | | | | | | | | (1372) all_12_11 = e10 % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | SIMP: (1372) implies: % 62.70/9.74 | | | | | | | | | | | | | (1373) all_12_11 = e10 % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | REDUCE: (1362), (1373) imply: % 62.70/9.74 | | | | | | | | | | | | | (1374) ~ (e13 = e10) % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | BETA: splitting (338) gives: % 62.70/9.74 | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | (1375) all_24_4 = e11 % 62.70/9.74 | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | REF_CLOSE: (597), (844), (1375) are inconsistent by sub-proof % 62.70/9.74 | | | | | | | | | | | | | | #102. % 62.70/9.74 | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | Case 2: % 62.70/9.74 | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | (1376) all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11 % 62.70/9.74 | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | BETA: splitting (1376) gives: % 62.70/9.74 | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | (1377) all_24_5 = e11 % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | COMBINE_EQS: (605), (1377) imply: % 62.70/9.74 | | | | | | | | | | | | | | | (1378) all_12_9 = e11 % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | SIMP: (1378) implies: % 62.70/9.74 | | | | | | | | | | | | | | | (1379) all_12_9 = e11 % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | COMBINE_EQS: (667), (1379) imply: % 62.70/9.74 | | | | | | | | | | | | | | | (1380) all_20_19 = e11 % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | REDUCE: (63), (1379) imply: % 62.70/9.74 | | | | | | | | | | | | | | | (1381) ~ (all_12_13 = e11) % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | SIMP: (1381) implies: % 62.70/9.74 | | | | | | | | | | | | | | | (1382) ~ (all_12_13 = e11) % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | BETA: splitting (273) gives: % 62.70/9.74 | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | | (1383) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 62.70/9.74 | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 62.70/9.74 | | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | | BETA: splitting (1383) gives: % 62.70/9.74 | | | | | | | | | | | | | | | | % 62.70/9.74 | | | | | | | | | | | | | | | | Case 1: % 62.70/9.74 | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | (1384) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 62.70/9.75 | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | BETA: splitting (1384) gives: % 62.70/9.75 | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | Case 1: % 62.70/9.75 | | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | | (1385) all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 62.70/9.75 | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10) % 62.70/9.75 | | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | | ALPHA: (1385) implies: % 62.70/9.75 | | | | | | | | | | | | | | | | | | (1386) ~ (all_20_11 = e13) % 62.70/9.75 | | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | | REDUCE: (1346), (1386) imply: % 62.70/9.75 | | | | | | | | | | | | | | | | | | (1387) $false % 62.70/9.75 | | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | | CLOSE: (1387) is inconsistent. % 62.70/9.75 | | | | | | | | | | | | | | | | | | % 62.70/9.75 | | | | | | | | | | | | | | | | | Case 2: % 62.70/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (1388) (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (669), (839), (952), (1366), (1388) are % 63.02/9.75 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101. % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | End of split % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | (1389) (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | BETA: splitting (1389) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (1390) all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10) % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (952), (1390) are inconsistent by sub-proof % 63.02/9.75 | | | | | | | | | | | | | | | | | | #129. % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (1391) (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1392) all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1393) ~ (all_20_19 = e11) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | REDUCE: (1380), (1393) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1394) $false % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | CLOSE: (1394) is inconsistent. % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1395) all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (682), (852), (1395) are inconsistent by sub-proof % 63.02/9.75 | | | | | | | | | | | | | | | | | | | #100. % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | End of split % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | End of split % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | End of split % 63.02/9.75 | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | (1396) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 63.02/9.75 | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | BETA: splitting (1396) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | (1397) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (1398) all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (761), (951), (1398) are inconsistent by sub-proof % 63.02/9.75 | | | | | | | | | | | | | | | | | | #128. % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (1399) (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | BETA: splitting (1399) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1400) all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | ALPHA: (1400) implies: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1401) all_20_19 = e12 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1380), (1401) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1402) e12 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | SIMP: (1402) implies: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1403) e12 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1403) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1404) $false % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | CLOSE: (1404) is inconsistent. % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1405) all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | ALPHA: (1405) implies: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1406) ~ (all_20_31 = e11) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1407) ~ (all_20_29 = e10) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1408) ~ (all_20_21 = e11) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1409) ~ (all_20_13 = e12) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | REDUCE: (671), (1409) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1410) ~ (all_12_6 = e12) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | REDUCE: (679), (1407) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1411) ~ (all_12_14 = e10) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1406) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | (1412) ~ (all_12_15 = e11) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | (1413) all_24_9 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (944), (1413) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | (1414) e13 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | SIMP: (1414) implies: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | (1415) e13 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (1367), (1415) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | (1416) $false % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | CLOSE: (1416) is inconsistent. % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | (1417) all_24_10 = e11 | all_24_11 = e11 | all_24_15 = % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1417) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | (1418) all_24_10 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (1418) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | (1419) all_12_13 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | SIMP: (1419) implies: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | (1420) all_12_13 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1382), (1420) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | (1421) $false % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1421) is inconsistent. % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | (1422) all_24_11 = e11 | all_24_15 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1422) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | (1423) all_24_11 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (1423) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | (1424) all_12_14 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1424) implies: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | (1425) all_12_14 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1425) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | (1426) ~ (all_12_6 = e11) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (1425) imply: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | (1427) ~ (e13 = e11) % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | | (1428) all_24_1 = e11 % 63.02/9.75 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (768), (842), (1428) are inconsistent by sub-proof % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | #99. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | (1429) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1429) gives: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_24_3 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1347), (1367), (1430) are inconsistent by % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #108. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_24_7 = e11 | all_24_13 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1431) gives: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_24_7 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1432) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_12_6 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1433) implies: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_12_6 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1426), (1434) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1435) $false % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1435) is inconsistent. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_24_13 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_24_1 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (768), (854), (1437) are inconsistent by sub-proof % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | #98. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1438) gives: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_24_3 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1347), (1439) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) e13 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (1440) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) $false % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1441) is inconsistent. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_24_7 = e12 | all_24_13 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_24_7 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1443) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_12_6 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1444) implies: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_12_6 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1410), (1445) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) $false % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1446) is inconsistent. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_24_13 = e12 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1436), (1447) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) e12 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1448) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) $false % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1449) is inconsistent. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | (1450) all_24_15 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (1412), (1450) are inconsistent by % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | sub-proof #97. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | (1451) (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 63.02/9.76 | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | BETA: splitting (1451) gives: % 63.02/9.76 | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | (1452) all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | ALPHA: (1452) implies: % 63.02/9.76 | | | | | | | | | | | | | | | | | | (1453) ~ (all_20_7 = e13) % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | REDUCE: (1366), (1453) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | (1454) $false % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | CLOSE: (1454) is inconsistent. % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | (1455) (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.02/9.76 | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | BETA: splitting (1455) gives: % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (1456) all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (1457) ~ (all_20_7 = e13) % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | REDUCE: (1366), (1457) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (1458) $false % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | CLOSE: (1458) is inconsistent. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (1459) all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | ALPHA: (1459) implies: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (1460) ~ (all_20_7 = e13) % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | REDUCE: (1366), (1460) imply: % 63.02/9.76 | | | | | | | | | | | | | | | | | | | (1461) $false % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | | CLOSE: (1461) is inconsistent. % 63.02/9.76 | | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | (1462) all_24_8 = e11 | all_24_14 = e11 % 63.02/9.76 | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | | REF_CLOSE: (842), (1360), (1367), (1371), (1462) are % 63.02/9.76 | | | | | | | | | | | | | | | inconsistent by sub-proof #96. % 63.02/9.76 | | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | (1463) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = % 63.02/9.76 | | | | | | | | | | | e13 % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | REF_CLOSE: (458), (466), (621), (950), (1352), (1362), (1463) % 63.02/9.76 | | | | | | | | | | | are inconsistent by sub-proof #92. % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | End of split % 63.02/9.76 | | | | | | | | | | % 63.02/9.76 | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | (1464) ~ (all_16_10 = e13) % 63.02/9.76 | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | REDUCE: (735), (1464) imply: % 63.02/9.76 | | | | | | | | | | (1465) ~ (all_12_10 = e13) % 63.02/9.76 | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | BETA: splitting (337) gives: % 63.02/9.76 | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | (1466) all_24_6 = e13 % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | COMBINE_EQS: (609), (1466) imply: % 63.02/9.76 | | | | | | | | | | | (1467) all_12_2 = e13 % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | SIMP: (1467) implies: % 63.02/9.76 | | | | | | | | | | | (1468) all_12_2 = e13 % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | COMBINE_EQS: (669), (1468) imply: % 63.02/9.76 | | | | | | | | | | | (1469) all_20_5 = e13 % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | COMBINE_EQS: (978), (1468) imply: % 63.02/9.76 | | | | | | | | | | | (1470) all_20_0 = e13 % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | REDUCE: (90), (1468) imply: % 63.02/9.76 | | | | | | | | | | | (1471) ~ (all_12_3 = e13) % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | SIMP: (1471) implies: % 63.02/9.76 | | | | | | | | | | | (1472) ~ (all_12_3 = e13) % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | REDUCE: (839), (1468) imply: % 63.02/9.76 | | | | | | | | | | | (1473) ~ (e13 = e11) % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | REDUCE: (926), (1468) imply: % 63.02/9.76 | | | | | | | | | | | (1474) op1(e13, e11) = all_20_4 % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | BETA: splitting (332) gives: % 63.02/9.76 | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | (1475) all_24_12 = e13 % 63.02/9.76 | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | REF_CLOSE: (617), (1472), (1475) are inconsistent by % 63.02/9.76 | | | | | | | | | | | | sub-proof #91. % 63.02/9.76 | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | (1476) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = % 63.02/9.76 | | | | | | | | | | | | e13 % 63.02/9.76 | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | BETA: splitting (1476) gives: % 63.02/9.76 | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | Case 1: % 63.02/9.76 | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | (1477) all_24_13 = e13 % 63.02/9.76 | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | | REF_CLOSE: (466), (1352), (1477) are inconsistent by % 63.02/9.76 | | | | | | | | | | | | | sub-proof #95. % 63.02/9.76 | | | | | | | | | | | | | % 63.02/9.76 | | | | | | | | | | | | Case 2: % 63.02/9.76 | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | (1478) all_24_14 = e13 | all_24_15 = e13 % 63.02/9.77 | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | BETA: splitting (1478) gives: % 63.02/9.77 | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | (1479) all_24_14 = e13 % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | COMBINE_EQS: (621), (1479) imply: % 63.02/9.77 | | | | | | | | | | | | | | (1480) all_12_11 = e13 % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | BETA: splitting (1341) gives: % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | (1481) all_24_12 = e10 % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | COMBINE_EQS: (617), (1481) imply: % 63.02/9.77 | | | | | | | | | | | | | | | (1482) all_12_3 = e10 % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | SIMP: (1482) implies: % 63.02/9.77 | | | | | | | | | | | | | | | (1483) all_12_3 = e10 % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1483) imply: % 63.02/9.77 | | | | | | | | | | | | | | | (1484) all_20_7 = e10 % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | REDUCE: (94), (1483) imply: % 63.02/9.77 | | | | | | | | | | | | | | | (1485) ~ (all_12_1 = e10) % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | REDUCE: (84), (1483) imply: % 63.02/9.77 | | | | | | | | | | | | | | | (1486) ~ (all_12_15 = e10) % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | SIMP: (1486) implies: % 63.02/9.77 | | | | | | | | | | | | | | | (1487) ~ (all_12_15 = e10) % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | REDUCE: (927), (1483) imply: % 63.02/9.77 | | | | | | | | | | | | | | | (1488) op1(e10, e10) = all_20_6 % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | BETA: splitting (1355) gives: % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | (1489) all_16_4 = e12 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (1489) imply: % 63.02/9.77 | | | | | | | | | | | | | | | | (1490) all_12_1 = e12 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | SIMP: (1490) implies: % 63.02/9.77 | | | | | | | | | | | | | | | | (1491) all_12_1 = e12 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (1491) imply: % 63.02/9.77 | | | | | | | | | | | | | | | | (1492) all_20_3 = e12 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | REDUCE: (1348), (1491) imply: % 63.02/9.77 | | | | | | | | | | | | | | | | (1493) ~ (e13 = e12) % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | REDUCE: (925), (1491) imply: % 63.02/9.77 | | | | | | | | | | | | | | | | (1494) op1(e12, e12) = all_20_2 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_12_15, all_20_6, e10, % 63.02/9.77 | | | | | | | | | | | | | | | | e10, simplifying with (102), (1488) gives: % 63.02/9.77 | | | | | | | | | | | | | | | | (1495) all_20_6 = all_12_15 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e13, all_20_2, e12, e12, % 63.02/9.77 | | | | | | | | | | | | | | | | simplifying with (1353), (1494) gives: % 63.02/9.77 | | | | | | | | | | | | | | | | (1496) all_20_2 = e13 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e12, all_20_4, e11, e13, % 63.02/9.77 | | | | | | | | | | | | | | | | simplifying with (12), (1474) gives: % 63.02/9.77 | | | | | | | | | | | | | | | | (1497) all_20_4 = e12 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | BETA: splitting (277) gives: % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | (1498) all_20_0 = all_20_1 % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1470), (1498) imply: % 63.02/9.77 | | | | | | | | | | | | | | | | | (1499) all_20_1 = e13 % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (1473), (1499) are inconsistent by % 63.02/9.77 | | | | | | | | | | | | | | | | | sub-proof #90. % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | (1500) all_20_2 = all_20_3 | all_20_4 = all_20_5 | % 63.02/9.77 | | | | | | | | | | | | | | | | | all_20_6 = all_20_7 % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | BETA: splitting (1500) gives: % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | (1501) all_20_2 = all_20_3 % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1496), (1501) imply: % 63.02/9.77 | | | | | | | | | | | | | | | | | | (1502) all_20_3 = e13 % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | SIMP: (1502) implies: % 63.02/9.77 | | | | | | | | | | | | | | | | | | (1503) all_20_3 = e13 % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (951), (1492), (1503) are inconsistent by % 63.02/9.77 | | | | | | | | | | | | | | | | | | sub-proof #89. % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | (1504) ~ (all_20_2 = all_20_3) % 63.02/9.77 | | | | | | | | | | | | | | | | | | (1505) all_20_4 = all_20_5 | all_20_6 = all_20_7 % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | BETA: splitting (1505) gives: % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | | (1506) all_20_4 = all_20_5 % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (951), (1469), (1497), (1506) are inconsistent by % 63.02/9.77 | | | | | | | | | | | | | | | | | | | sub-proof #88. % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | | (1507) all_20_6 = all_20_7 % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1495), (1507) imply: % 63.02/9.77 | | | | | | | | | | | | | | | | | | | (1508) all_20_7 = all_12_15 % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | | SIMP: (1508) implies: % 63.02/9.77 | | | | | | | | | | | | | | | | | | | (1509) all_20_7 = all_12_15 % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1484), (1487), (1509) are inconsistent by % 63.02/9.77 | | | | | | | | | | | | | | | | | | | sub-proof #87. % 63.02/9.77 | | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | (1510) all_16_4 = e11 | all_16_4 = e10 % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | | REF_CLOSE: (720), (837), (1485), (1510) are inconsistent by % 63.02/9.77 | | | | | | | | | | | | | | | | sub-proof #106. % 63.02/9.77 | | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | (1511) all_24_13 = e10 | all_24_14 = e10 % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | | REF_CLOSE: (466), (852), (952), (1479), (1511) are % 63.02/9.77 | | | | | | | | | | | | | | | inconsistent by sub-proof #86. % 63.02/9.77 | | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | (1512) all_24_15 = e13 % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | | REF_CLOSE: (458), (950), (1512) are inconsistent by sub-proof % 63.02/9.77 | | | | | | | | | | | | | | #94. % 63.02/9.77 | | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | (1513) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13 % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | BETA: splitting (1513) gives: % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | (1514) all_24_7 = e13 % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | COMBINE_EQS: (610), (1514) imply: % 63.02/9.77 | | | | | | | | | | | | (1515) all_12_6 = e13 % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | SIMP: (1515) implies: % 63.02/9.77 | | | | | | | | | | | | (1516) all_12_6 = e13 % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | REDUCE: (1350), (1516) imply: % 63.02/9.77 | | | | | | | | | | | | (1517) $false % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | CLOSE: (1517) is inconsistent. % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | (1518) all_24_8 = e13 | all_24_11 = e13 % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | REF_CLOSE: (614), (766), (948), (1465), (1518) are % 63.02/9.77 | | | | | | | | | | | | inconsistent by sub-proof #85. % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | End of split % 63.02/9.77 | | | | | | | | | % 63.02/9.77 | | | | | | | | End of split % 63.02/9.77 | | | | | | | | % 63.02/9.77 | | | | | | | Case 2: % 63.02/9.77 | | | | | | | | % 63.02/9.77 | | | | | | | | (1519) ~ (all_16_5 = e13) % 63.02/9.77 | | | | | | | | (1520) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 63.02/9.77 | | | | | | | | % 63.02/9.77 | | | | | | | | REDUCE: (728), (1519) imply: % 63.02/9.77 | | | | | | | | (1521) ~ (all_12_5 = e13) % 63.02/9.77 | | | | | | | | % 63.02/9.77 | | | | | | | | BETA: splitting (199) gives: % 63.02/9.77 | | | | | | | | % 63.02/9.77 | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | % 63.02/9.77 | | | | | | | | | (1522) all_16_14 = e13 % 63.02/9.77 | | | | | | | | | % 63.02/9.77 | | | | | | | | | COMBINE_EQS: (737), (1522) imply: % 63.02/9.77 | | | | | | | | | (1523) all_12_11 = e13 % 63.02/9.77 | | | | | | | | | % 63.02/9.77 | | | | | | | | | COMBINE_EQS: (621), (1523) imply: % 63.02/9.77 | | | | | | | | | (1524) all_24_14 = e13 % 63.02/9.77 | | | | | | | | | % 63.02/9.77 | | | | | | | | | REDUCE: (64), (1523) imply: % 63.02/9.77 | | | | | | | | | (1525) ~ (all_12_9 = e13) % 63.02/9.77 | | | | | | | | | % 63.02/9.77 | | | | | | | | | BETA: splitting (343) gives: % 63.02/9.77 | | | | | | | | | % 63.02/9.77 | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | (1526) all_24_2 = e13 % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | COMBINE_EQS: (767), (1526) imply: % 63.02/9.77 | | | | | | | | | | (1527) all_12_1 = e13 % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | SIMP: (1527) implies: % 63.02/9.77 | | | | | | | | | | (1528) all_12_1 = e13 % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | COMBINE_EQS: (501), (1528) imply: % 63.02/9.77 | | | | | | | | | | (1529) all_20_3 = e13 % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | REDUCE: (95), (1528) imply: % 63.02/9.77 | | | | | | | | | | (1530) ~ (all_12_2 = e13) % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | SIMP: (1530) implies: % 63.02/9.77 | | | | | | | | | | (1531) ~ (all_12_2 = e13) % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | REDUCE: (94), (1528) imply: % 63.02/9.77 | | | | | | | | | | (1532) ~ (all_12_3 = e13) % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | SIMP: (1532) implies: % 63.02/9.77 | | | | | | | | | | (1533) ~ (all_12_3 = e13) % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | REDUCE: (925), (1528) imply: % 63.02/9.77 | | | | | | | | | | (1534) op1(e13, e12) = all_20_2 % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | BETA: splitting (1341) gives: % 63.02/9.77 | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | (1535) all_24_12 = e10 % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | COMBINE_EQS: (617), (1535) imply: % 63.02/9.77 | | | | | | | | | | | (1536) all_12_3 = e10 % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | SIMP: (1536) implies: % 63.02/9.77 | | | | | | | | | | | (1537) all_12_3 = e10 % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | COMBINE_EQS: (681), (1537) imply: % 63.02/9.77 | | | | | | | | | | | (1538) all_20_7 = e10 % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | REDUCE: (90), (1537) imply: % 63.02/9.77 | | | | | | | | | | | (1539) ~ (all_12_2 = e10) % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | REDUCE: (84), (1537) imply: % 63.02/9.77 | | | | | | | | | | | (1540) ~ (all_12_15 = e10) % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | SIMP: (1540) implies: % 63.02/9.77 | | | | | | | | | | | (1541) ~ (all_12_15 = e10) % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | REDUCE: (1533), (1537) imply: % 63.02/9.77 | | | | | | | | | | | (1542) ~ (e13 = e10) % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | REDUCE: (927), (1537) imply: % 63.02/9.77 | | | | | | | | | | | (1543) op1(e10, e10) = all_20_6 % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | BETA: splitting (205) gives: % 63.02/9.77 | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | Case 1: % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | (1544) all_16_8 = e13 % 63.02/9.77 | | | | | | | | | | | | % 63.02/9.77 | | | | | | | | | | | | COMBINE_EQS: (722), (1544) imply: % 63.02/9.78 | | | | | | | | | | | | (1545) all_12_2 = e13 % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | REDUCE: (1531), (1545) imply: % 63.02/9.78 | | | | | | | | | | | | (1546) $false % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | CLOSE: (1546) is inconsistent. % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | (1547) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | BETA: splitting (1547) gives: % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | (1548) all_16_8 = e12 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | COMBINE_EQS: (722), (1548) imply: % 63.02/9.78 | | | | | | | | | | | | | (1549) all_12_2 = e12 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | SIMP: (1549) implies: % 63.02/9.78 | | | | | | | | | | | | | (1550) all_12_2 = e12 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | COMBINE_EQS: (669), (1550) imply: % 63.02/9.78 | | | | | | | | | | | | | (1551) all_20_5 = e12 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | COMBINE_EQS: (978), (1550) imply: % 63.02/9.78 | | | | | | | | | | | | | (1552) all_20_0 = e12 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | REDUCE: (926), (1550) imply: % 63.02/9.78 | | | | | | | | | | | | | (1553) op1(e12, e11) = all_20_4 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_12_15, all_20_6, e10, % 63.02/9.78 | | | | | | | | | | | | | e10, simplifying with (102), (1543) gives: % 63.02/9.78 | | | | | | | | | | | | | (1554) all_20_6 = all_12_15 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_12_9, all_20_4, e11, % 63.02/9.78 | | | | | | | | | | | | | e12, simplifying with (111), (1553) gives: % 63.02/9.78 | | | | | | | | | | | | | (1555) all_20_4 = all_12_9 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e10, all_20_2, e12, e13, % 63.02/9.78 | | | | | | | | | | | | | simplifying with (13), (1534) gives: % 63.02/9.78 | | | | | | | | | | | | | (1556) all_20_2 = e10 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | BETA: splitting (277) gives: % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | (1557) all_20_0 = all_20_1 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | COMBINE_EQS: (1552), (1557) imply: % 63.02/9.78 | | | | | | | | | | | | | | (1558) all_20_1 = e12 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | SIMP: (1558) implies: % 63.02/9.78 | | | | | | | | | | | | | | (1559) all_20_1 = e12 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | COMBINE_EQS: (657), (1559) imply: % 63.02/9.78 | | | | | | | | | | | | | | (1560) e12 = e11 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | SIMP: (1560) implies: % 63.02/9.78 | | | | | | | | | | | | | | (1561) e12 = e11 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | REDUCE: (844), (1561) imply: % 63.02/9.78 | | | | | | | | | | | | | | (1562) $false % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | CLOSE: (1562) is inconsistent. % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | (1563) all_20_2 = all_20_3 | all_20_4 = all_20_5 | % 63.02/9.78 | | | | | | | | | | | | | | all_20_6 = all_20_7 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | BETA: splitting (1563) gives: % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | (1564) all_20_2 = all_20_3 % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | COMBINE_EQS: (1556), (1564) imply: % 63.02/9.78 | | | | | | | | | | | | | | | (1565) all_20_3 = e10 % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | COMBINE_EQS: (1529), (1565) imply: % 63.02/9.78 | | | | | | | | | | | | | | | (1566) e13 = e10 % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | REDUCE: (952), (1566) imply: % 63.02/9.78 | | | | | | | | | | | | | | | (1567) $false % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | CLOSE: (1567) is inconsistent. % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | (1568) all_20_4 = all_20_5 | all_20_6 = all_20_7 % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | BETA: splitting (1568) gives: % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | (1569) all_20_4 = all_20_5 % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (1555), (1569) imply: % 63.02/9.78 | | | | | | | | | | | | | | | | (1570) all_20_5 = all_12_9 % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (1551), (1570) imply: % 63.02/9.78 | | | | | | | | | | | | | | | | (1571) all_12_9 = e12 % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | SIMP: (1571) implies: % 63.02/9.78 | | | | | | | | | | | | | | | | (1572) all_12_9 = e12 % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | REDUCE: (858), (1572) imply: % 63.02/9.78 | | | | | | | | | | | | | | | | (1573) $false % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | CLOSE: (1573) is inconsistent. % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | (1574) all_20_6 = all_20_7 % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (1554), (1574) imply: % 63.02/9.78 | | | | | | | | | | | | | | | | (1575) all_20_7 = all_12_15 % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | | REF_CLOSE: (1538), (1541), (1575) are inconsistent by % 63.02/9.78 | | | | | | | | | | | | | | | | sub-proof #87. % 63.02/9.78 | | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | End of split % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | End of split % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | End of split % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | (1576) all_16_8 = e11 | all_16_8 = e10 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | REF_CLOSE: (722), (839), (1539), (1576) are inconsistent by % 63.02/9.78 | | | | | | | | | | | | | sub-proof #114. % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | End of split % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | End of split % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | (1577) all_24_13 = e10 | all_24_14 = e10 % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | REF_CLOSE: (466), (852), (952), (1524), (1577) are % 63.02/9.78 | | | | | | | | | | | inconsistent by sub-proof #86. % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | End of split % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | (1578) all_24_3 = e13 | all_24_5 = e13 | all_24_10 = e13 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | REF_CLOSE: (498), (605), (607), (946), (1521), (1525), (1578) % 63.02/9.78 | | | | | | | | | | are inconsistent by sub-proof #83. % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | End of split % 63.02/9.78 | | | | | | | | | % 63.02/9.78 | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | % 63.02/9.78 | | | | | | | | | (1579) ~ (all_16_14 = e13) % 63.02/9.78 | | | | | | | | | (1580) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10 % 63.02/9.78 | | | | | | | | | % 63.02/9.78 | | | | | | | | | REDUCE: (737), (1579) imply: % 63.02/9.78 | | | | | | | | | (1581) ~ (all_12_11 = e13) % 63.02/9.78 | | | | | | | | | % 63.02/9.78 | | | | | | | | | BETA: splitting (207) gives: % 63.02/9.78 | | | | | | | | | % 63.02/9.78 | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | (1582) all_16_6 = e13 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | COMBINE_EQS: (734), (1582) imply: % 63.02/9.78 | | | | | | | | | | (1583) all_12_9 = e13 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | SIMP: (1583) implies: % 63.02/9.78 | | | | | | | | | | (1584) all_12_9 = e13 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | COMBINE_EQS: (667), (1584) imply: % 63.02/9.78 | | | | | | | | | | (1585) all_20_19 = e13 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | COMBINE_EQS: (605), (1584) imply: % 63.02/9.78 | | | | | | | | | | (1586) all_24_5 = e13 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | REDUCE: (92), (1584) imply: % 63.02/9.78 | | | | | | | | | | (1587) ~ (all_12_1 = e13) % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | REDUCE: (65), (1584) imply: % 63.02/9.78 | | | | | | | | | | (1588) ~ (all_12_10 = e13) % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | SIMP: (1588) implies: % 63.02/9.78 | | | | | | | | | | (1589) ~ (all_12_10 = e13) % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | REDUCE: (64), (1584) imply: % 63.02/9.78 | | | | | | | | | | (1590) ~ (all_12_11 = e13) % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | REDUCE: (871), (1584) imply: % 63.02/9.78 | | | | | | | | | | (1591) h4(e13) = all_28_13 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_13, e13, % 63.02/9.78 | | | | | | | | | | simplifying with (48), (1591) gives: % 63.02/9.78 | | | | | | | | | | (1592) all_28_13 = e23 % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | BETA: splitting (209) gives: % 63.02/9.78 | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | (1593) all_16_4 = e13 % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | REF_CLOSE: (720), (1587), (1593) are inconsistent by % 63.02/9.78 | | | | | | | | | | | sub-proof #110. % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | (1594) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | BETA: splitting (203) gives: % 63.02/9.78 | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | (1595) all_16_10 = e13 % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | REF_CLOSE: (735), (1589), (1595) are inconsistent by % 63.02/9.78 | | | | | | | | | | | | sub-proof #118. % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | (1596) ~ (all_16_10 = e13) % 63.02/9.78 | | | | | | | | | | | | (1597) all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 63.02/9.78 | | | | | | | | | | | | e10 % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | BETA: splitting (205) gives: % 63.02/9.78 | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | (1598) all_16_8 = e13 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | COMBINE_EQS: (722), (1598) imply: % 63.02/9.78 | | | | | | | | | | | | | (1599) all_12_2 = e13 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | SIMP: (1599) implies: % 63.02/9.78 | | | | | | | | | | | | | (1600) all_12_2 = e13 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | COMBINE_EQS: (669), (1600) imply: % 63.02/9.78 | | | | | | | | | | | | | (1601) all_20_5 = e13 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | COMBINE_EQS: (978), (1600) imply: % 63.02/9.78 | | | | | | | | | | | | | (1602) all_20_0 = e13 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | COMBINE_EQS: (609), (1600) imply: % 63.02/9.78 | | | | | | | | | | | | | (1603) all_24_6 = e13 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | REDUCE: (90), (1600) imply: % 63.02/9.78 | | | | | | | | | | | | | (1604) ~ (all_12_3 = e13) % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | SIMP: (1604) implies: % 63.02/9.78 | | | | | | | | | | | | | (1605) ~ (all_12_3 = e13) % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | REDUCE: (873), (1600) imply: % 63.02/9.78 | | | | | | | | | | | | | (1606) h4(e13) = all_28_17 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | REDUCE: (926), (1600) imply: % 63.02/9.78 | | | | | | | | | | | | | (1607) op1(e13, e11) = all_20_4 % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | BETA: splitting (332) gives: % 63.02/9.78 | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | (1608) all_24_12 = e13 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | REF_CLOSE: (617), (1605), (1608) are inconsistent by % 63.02/9.78 | | | | | | | | | | | | | | sub-proof #91. % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | Case 2: % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | (1609) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = % 63.02/9.78 | | | | | | | | | | | | | | e13 % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | BETA: splitting (1609) gives: % 63.02/9.78 | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | Case 1: % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | (1610) all_24_13 = e13 % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1610) imply: % 63.02/9.78 | | | | | | | | | | | | | | | (1611) all_12_7 = e13 % 63.02/9.78 | | | | | | | | | | | | | | | % 63.02/9.78 | | | | | | | | | | | | | | | SIMP: (1611) implies: % 63.02/9.78 | | | | | | | | | | | | | | | (1612) all_12_7 = e13 % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | REDUCE: (74), (1612) imply: % 63.02/9.79 | | | | | | | | | | | | | | | (1613) ~ (all_12_6 = e13) % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | REDUCE: (878), (1612) imply: % 63.02/9.79 | | | | | | | | | | | | | | | (1614) h4(e13) = all_28_29 % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e12, all_20_4, e11, e13, % 63.02/9.79 | | | | | | | | | | | | | | | simplifying with (12), (1607) gives: % 63.02/9.79 | | | | | | | | | | | | | | | (1615) all_20_4 = e12 % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_17, e13, % 63.02/9.79 | | | | | | | | | | | | | | | simplifying with (48), (1606) gives: % 63.02/9.79 | | | | | | | | | | | | | | | (1616) all_28_17 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_29, all_28_17, e13, % 63.02/9.79 | | | | | | | | | | | | | | | simplifying with (1606), (1614) gives: % 63.02/9.79 | | | | | | | | | | | | | | | (1617) all_28_17 = all_28_29 % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | COMBINE_EQS: (1616), (1617) imply: % 63.02/9.79 | | | | | | | | | | | | | | | (1618) all_28_29 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | BETA: splitting (201) gives: % 63.02/9.79 | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | (1619) all_16_12 = e13 % 63.02/9.79 | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | REF_CLOSE: (724), (1605), (1619) are inconsistent by % 63.02/9.79 | | | | | | | | | | | | | | | | sub-proof #133. % 63.02/9.79 | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | (1620) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 63.02/9.79 | | | | | | | | | | | | | | | | e10 % 63.02/9.79 | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | (1621) all_18_15 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (1621) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | (1622) all_10_1 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | REDUCE: (974), (1622) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | (1623) $false % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | CLOSE: (1623) is inconsistent. % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | (1624) ~ (all_18_15 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | (1625) all_18_15 = e22 | all_18_15 = e21 | all_18_15 = % 63.02/9.79 | | | | | | | | | | | | | | | | | e20 % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1626) all_18_13 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (1626) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1627) all_14_7 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1628) all_22_15 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1629) all_26_13 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1036), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1630) all_28_27 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | REDUCE: (150), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1631) ~ (all_14_3 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | REDUCE: (139), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1632) ~ (all_14_6 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | REDUCE: (136), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1633) ~ (all_14_11 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | SIMP: (1633) implies: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1634) ~ (all_14_11 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | REDUCE: (814), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1635) ~ (all_6_1 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | SIMP: (1635) implies: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1636) ~ (all_6_1 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | REDUCE: (168), (1627) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | (1637) op2(e20, e22) = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | (1638) all_18_14 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (1638) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | (1639) all_14_11 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | SIMP: (1639) implies: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | (1640) all_14_11 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | REDUCE: (1634), (1640) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | (1641) $false % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | CLOSE: (1641) is inconsistent. % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | (1642) ~ (all_18_14 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | (1643) all_18_14 = e22 | all_18_14 = e21 | all_18_14 = % 63.02/9.79 | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | (1644) all_18_5 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (1644) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | (1645) all_6_1 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (1636), (1645) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | (1646) $false % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | CLOSE: (1646) is inconsistent. % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | (1647) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | (1648) all_18_9 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (1648) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | (1649) all_14_6 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1632), (1649) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | (1650) $false % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1650) is inconsistent. % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_18_9 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | (1652) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | (1653) all_18_12 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (1631), (1653) are inconsistent by % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | sub-proof #82. % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | (1654) ~ (all_18_12 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | (1655) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | (1656) all_26_4 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (1656) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | (1657) e23 = e22 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1657) implies: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | (1658) e23 = e22 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1658) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | (1659) $false % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1659) is inconsistent. % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | (1660) ~ (all_26_4 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | (1661) all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (1660) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | (1662) ~ (e23 = e22) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_26_2 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (1663) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_14_1 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (1664) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_22_3 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (1664) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | (1666) ~ (all_14_2 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1666) implies: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | (1667) ~ (all_14_2 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (1664) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | (1668) ~ (all_14_3 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (1664) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | (1669) op2(e23, e22) = all_22_2 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_26_6 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (1670) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_14_2 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1667), (1671) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1672) $false % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1672) is inconsistent. % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1673) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_26_7 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1674) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_14_6 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1632), (1675) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) $false % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1676) is inconsistent. % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_26_8 = e23 | all_26_11 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1677) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_26_8 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (1678) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_4_1 = e23 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (1679) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) ~ (all_14_9 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1679) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) op2(e21, e23) = all_4_0 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_14_2, all_4_0, e23, % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (173), (1681) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_14_2 = all_4_0 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e20, all_22_2, e22, e23, % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1669) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_22_2 = e20 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_18_8 = all_4_0 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_22_5 = all_4_0 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_22_0 = all_4_0 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_26_6 = all_4_0 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) ~ (all_14_3 = all_4_0) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1688) implies: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (all_14_3 = all_4_0) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_14_14 = all_4_0) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1690) implies: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) ~ (all_14_14 = all_4_0) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1667), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) ~ (all_4_0 = e23) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) ~ (all_4_0 = e21) % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (1682) imply: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) op2(all_4_0, e21) = all_22_4 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_80, all_22_4, e21, % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_0, simplifying with (905), (1694) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_28_80 = all_22_4 % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_18_8 = e23 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1696) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_4_0 = e23 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1692), (1697) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1698) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) ~ (all_18_8 = e23) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_18_11 = e23 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (715), (972), (1701) are inconsistent by sub-proof % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #81. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) ~ (all_18_11 = e23) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_18_11 = e22 | all_18_11 = e21 | all_18_11 = % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_18_7 = e23 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (1704) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_14_13 = e23 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (970), (1705) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1706) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) ~ (all_18_7 = e23) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_26_15 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (1709) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_10_1 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (1710) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_22_31 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1710) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) ~ (all_14_3 = e20) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1710) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) ~ (all_14_13 = e20) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (974), (1710) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) ~ (e23 = e20) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_26_2 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1663), (1715) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) e23 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1716) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1717) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1718) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_26_3 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (1719) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) all_6_1 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (1720) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1721) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_26_5 = e20 | all_26_10 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_18_12 = e22 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1723) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_14_3 = e22 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1724) implies: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_14_3 = e22 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (1725) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_22_7 = e22 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1725) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) ~ (all_4_0 = e22) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1727) implies: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_4_0 = e22) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1700) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_18_8 = e22 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1729) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_4_0 = e22 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1728), (1730) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1731) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_18_8 = e21 | all_18_8 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1732) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_18_8 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1733) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_4_0 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1693), (1734) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_18_8 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1736) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_4_0 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1685), (1737) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_22_5 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1693), (1737) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) ~ (e21 = e20) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1722) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_26_5 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1740) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_14_9 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1741) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_22_19 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (1741) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) ~ (all_14_11 = e20) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1743) implies: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) ~ (all_14_11 = e20) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_26_4 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (1745) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) e22 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1746) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1747) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1748) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_26_5 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1740), (1749) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) e21 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1750) implies: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) e21 = e20 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1751) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1752) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_26_8 = e21 | all_26_14 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1753) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_26_8 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1678), (1754) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) e23 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1755) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) $false % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1756) is inconsistent. % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_26_14 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (770), (1757) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_14_11 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (1758) imply: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_22_23 = e21 % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1760) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1761) gives: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20) % 63.02/9.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1762) implies: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_22_3 = e22 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1665), (1763) are inconsistent by sub-proof % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #80. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1764) gives: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1765) implies: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_22_5 = e21 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1738), (1766) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) e21 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1767) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) $false % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1768) is inconsistent. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1769) implies: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_22_7 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (808), (1726), (1770) are inconsistent by % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1771) gives: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (571), (1772) are inconsistent by sub-proof % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #78. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1773) gives: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1774) implies: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) ~ (all_22_3 = e23) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1665), (1775) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) $false % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1776) is inconsistent. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1628), (1777) are inconsistent by sub-proof % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #77. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1778) gives: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1779) gives: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (567), (1780) are inconsistent by sub-proof % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1781) gives: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1782) implies: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_22_19 = e22 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1742), (1783) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) e22 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (1784) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) $false % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1785) is inconsistent. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1786) implies: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_22_23 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1759), (1787) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) e21 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1788) implies: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) e21 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1789) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) $false % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1790) is inconsistent. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1711), (1791) are inconsistent by sub-proof #75. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_26_10 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (1792) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_14_13 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1713), (1793) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) $false % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1794) is inconsistent. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_18_12 = e21 | all_18_12 = e20 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (792), (1712), (1795) are inconsistent by % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) ~ (all_26_15 = e20) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (1796) imply: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (all_10_1 = e20) % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_26_4 = e21 % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (795), (1798) are inconsistent by sub-proof % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #73. % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_26_6 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1687), (1800) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_4_0 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1801) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_4_0 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1802) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) ~ (all_14_3 = e20) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1691), (1802) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) ~ (all_14_14 = e20) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_18_12 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1805) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_14_3 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1806) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_14_3 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1807) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) ~ (all_10_1 = e22) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1808) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) ~ (all_10_1 = e22) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_18_15 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (1810) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_10_1 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1809), (1811) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1812) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_18_15 = e21 | all_18_15 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1813) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_18_15 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (1814) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_10_1 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (1815) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_22_31 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (1815) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) ~ (all_14_11 = e21) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (1815) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_14_14 = e21) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (974), (1815) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (e23 = e21) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (922), (1815) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) op2(e21, e20) = all_22_30 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1799) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_26_5 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1821) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_14_9 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1822) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_14_9 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1823) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) ~ (all_14_13 = e21) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1824) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_14_13 = e21) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (1823) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) op2(e22, e21) = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1703) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) all_18_11 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (1827) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_14_14 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1828) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_14_14 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (1829) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_22_29 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1829) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_14_13 = e22) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (921), (1829) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) op2(e22, e21) = all_22_28 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1829) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) op2(e21, e20) = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1708) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_18_7 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (1831), (1834) are inconsistent by % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #72. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_18_7 = e21 | all_18_7 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1835) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_18_7 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (1836) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_14_13 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1825), (1837) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_18_7 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (1839) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_14_13 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1840) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_22_27 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (970), (1840) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) ~ (e23 = e20) % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (1840) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) op2(e20, e22) = all_22_26 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e23, all_22_26, e22, e20, % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1637), (1843) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_22_26 = e23 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_22_30, e20, e21, % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1820), (1833) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_22_30 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e21, all_22_28, e21, e22, % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1826), (1832) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_22_28 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_22_24 = all_22_25 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1002), (1847) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_22_25 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1848) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_22_25 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (968), (1849) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) e23 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1850) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1851) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_22_26 = all_22_27 | all_22_28 = all_22_29 | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_30 = all_22_31 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_22_26 = all_22_27 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1844), (1853) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_22_27 = e23 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1854) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_22_27 = e23 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1841), (1855) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) e23 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1856) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) e23 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1857) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1858) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_22_28 = all_22_29 | all_22_30 = all_22_31 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1859) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_22_28 = all_22_29 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1846), (1860) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_22_29 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1861) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_22_29 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1830), (1862) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) e22 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1863) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1864) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_22_30 = all_22_31 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1845), (1865) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_22_31 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1866) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_22_31 = e22 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (795), (1816), (1867) are inconsistent by % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_18_11 = e21 | all_18_11 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (715), (1804), (1818), (1868) are inconsistent by % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_26_8 = e21 | all_26_14 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1869) gives: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_26_8 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1678), (1870) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) e23 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1871) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) e23 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1872) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1873) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_26_14 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (770), (1874) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_14_11 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1875) implies: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_14_11 = e21 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1817), (1876) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1877) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_18_15 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (1878) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_10_1 = e20 % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1797), (1879) imply: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) $false % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1880) is inconsistent. % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_18_12 = e21 | all_18_12 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (792), (1803), (1881) are inconsistent by % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) ~ (all_26_6 = e20) % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1687), (1882) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) ~ (all_4_0 = e20) % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_26_0 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (793), (1885) are inconsistent by sub-proof % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #69. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1700) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_18_8 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1887) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_4_0 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1685), (1888) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_22_5 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1686), (1888) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_22_0 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1687), (1888) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_26_6 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1888) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) ~ (all_14_3 = e22) % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1694), (1888) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) op2(e22, e21) = all_22_4 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_26_12 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1894) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_14_3 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1895) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_14_3 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (1896) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) $false % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1897) is inconsistent. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_26_13 = e22 | all_26_14 = e22 | all_26_15 = % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_26_2 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1663), (1899) are inconsistent by sub-proof % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_26_6 = e20 | all_26_12 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1900) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_26_6 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1891), (1901) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) e22 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1902) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) e22 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (1903) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) $false % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1904) is inconsistent. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_26_12 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1905) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_14_3 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1906) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_14_3 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (1907) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_22_7 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1631), (1907) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) ~ (e23 = e20) % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1907) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) op2(e20, e20) = all_22_6 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1883) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_26_7 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1911) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_14_6 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1912) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_14_6 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1913) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) $false % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1914) is inconsistent. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_26_8 = e20 | all_26_11 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1915) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_26_8 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1678), (1916) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) e23 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1917) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) e23 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1918) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) $false % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1919) is inconsistent. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_26_11 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (1920) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_14_14 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1921) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_14_14 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1922) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) ~ (all_14_13 = e20) % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (1922) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) ~ (all_10_1 = e20) % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_26_2 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1663), (1925) are inconsistent by sub-proof % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_26_3 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (802), (1927) are inconsistent by sub-proof % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_26_5 = e20 | all_26_10 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1928) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_26_5 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1929) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_14_9 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1930) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_14_9 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (1931) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) op2(e22, e21) = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1898) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_26_13 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1629), (1933) are inconsistent by sub-proof % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #66. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_26_14 = e22 | all_26_15 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1934) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_26_14 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (824), (1935) are inconsistent by sub-proof % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #65. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_26_15 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (1936) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_10_1 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1937) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_10_1 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1938) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) op2(e20, e20) = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_22_6, e20, e20, % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1910), (1939) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_22_6 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e20, all_22_4, e21, e22, % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1893), (1932) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_22_4 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_22_0 = all_22_1 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (625), (795), (1890), (1942) are inconsistent by % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_22_2 = all_22_3 | all_22_4 = all_22_5 | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1943) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_22_2 = all_22_3 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1665), (1683), (1944) are inconsistent by % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_22_4 = all_22_5 | all_22_6 = all_22_7 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1945) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_22_4 = all_22_5 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1941), (1946) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_22_5 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1889), (1947) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) e22 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1936), (1948) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_26_15 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (808), (824), (1934), (1949) are % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_22_6 = all_22_7 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1940), (1950) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_22_7 = e22 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1908), (1951) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) e22 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1952) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) e22 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1936), (1953) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_26_15 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (808), (824), (1934), (1954) are % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_26_10 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (1955) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_14_13 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1956) implies: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_14_13 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1923), (1957) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) $false % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1958) is inconsistent. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_18_8 = e21 | all_18_8 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_18_8 = e21 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1960) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_4_0 = e21 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1693), (1961) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) $false % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1962) is inconsistent. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_18_8 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1963) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_4_0 = e20 % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1884), (1964) imply: % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) $false % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1965) is inconsistent. % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_26_11 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (539), (972), (1966) are inconsistent by sub-proof % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | #61. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | (1967) ~ (all_26_2 = e23) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1967) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | (1968) ~ (all_14_1 = e23) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_26_0 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (578), (1969) are inconsistent by sub-proof % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | #134. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1970) ~ (all_26_0 = e23) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1970) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1972) ~ (e23 = e21) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1971) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_26_2 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (1973) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_14_1 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1968), (1974) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) $false % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1975) is inconsistent. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_26_6 = e23 | all_26_12 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1661) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_26_5 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1977) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_14_9 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1978) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_22_19 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1019), (1978) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_28_12 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_26_6 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (1981) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_14_2 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (1982) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_22_5 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1982) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_22_0 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1982) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_28_16 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (1982) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) ~ (all_14_3 = e23) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (1982) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) ~ (all_4_1 = e23) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1987) implies: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) ~ (all_4_1 = e23) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (1982) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) op2(e23, e21) = all_22_4 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_22_4, e21, e23, % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (1989) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_22_4 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_18_10 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (1991) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_4_1 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1992) implies: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_4_1 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1988), (1993) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) $false % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1994) is inconsistent. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_18_10 = e22 | all_18_10 = e21 | all_18_10 = % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_18_4 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (1968), (1996) are inconsistent by % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) ~ (all_18_4 = e23) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_18_11 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (1999) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_14_14 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (972), (2000) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) $false % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2001) is inconsistent. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_18_11 = e22 | all_18_11 = e21 | all_18_11 = % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_18_7 = e23 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (970), (2003) are inconsistent by sub-proof % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_26_15 = e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (2005) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_10_1 = e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2006) implies: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_10_1 = e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (2007) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_22_31 = e20 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2007) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) ~ (all_14_3 = e20) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2007) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) ~ (all_14_11 = e20) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (974), (2007) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) ~ (e23 = e20) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_26_12 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2012) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_14_3 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2013) implies: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_14_3 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2014) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_22_7 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2014) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) ~ (all_14_1 = e22) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2018) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2019) implies: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_22_3 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (2020) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_14_1 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2021) implies: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_14_1 = e22 % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2016), (2022) imply: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) $false % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2023) is inconsistent. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (808), (1983), (2015), (2024) are % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2025) gives: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20) % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (571), (2026) are inconsistent by sub-proof % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #78. % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2027) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2028) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_22_13 = e21 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) ~ (all_22_11 = e22) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2029) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_14_6 = e21 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2031) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_14_6 = e21 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (2030) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) ~ (all_6_1 = e22) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (2032) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) ~ (all_6_1 = e21) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2034) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) ~ (all_6_1 = e21) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (556), (802), (1647), (2033), (2035) are % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1628), (2036) are inconsistent by sub-proof % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #77. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2037) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (567), (2039) are inconsistent by sub-proof % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1979), (2041) are inconsistent by sub-proof % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (2010), (2042) are inconsistent by % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2008), (2043) are inconsistent by sub-proof #75. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_26_13 = e22 | all_26_14 = e22 | all_26_15 = % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_26_13 = e22 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1629), (2045) are inconsistent by sub-proof % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #66. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_26_14 = e22 | all_26_15 = e22 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (808), (824), (2005), (2046) are % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) ~ (all_26_15 = e20) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2048) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (2047) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) ~ (all_10_1 = e20) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_24_6 = e12 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1603), (2051) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) e13 = e12 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2052) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) e13 = e12 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (2053) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) $false % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2054) is inconsistent. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_24_7 = e12 | all_24_8 = e12 | all_24_11 = e12 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_24_2 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (2056) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_12_1 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2057) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_12_1 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2058) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) ~ (all_12_3 = e10) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2059) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) ~ (all_12_3 = e10) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2058) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) ~ (all_12_13 = e10) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2061) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) ~ (all_12_13 = e10) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1587), (2058) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) ~ (e13 = e10) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (2058) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) h4(e10) = all_28_9 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1341) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_24_12 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (2060), (2065) are inconsistent by % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) all_24_13 = e10 | all_24_14 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1342) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_24_9 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (944), (952), (2067) are inconsistent by sub-proof % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #51. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_24_10 = e10 | all_24_11 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2068) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_24_10 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (2062), (2069) are inconsistent by % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_24_11 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (2070) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_12_14 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2071) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_12_14 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (2072) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) h4(e10) = all_28_23 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2066) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_24_13 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (952), (1610), (2074) are inconsistent by % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49. % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_24_14 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (2075) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_12_11 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2076) implies: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_12_11 = e10 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2077) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) ~ (all_12_10 = e10) % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (2077) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) h4(e10) = all_28_32 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_16_12 = e12 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (724), (2080) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_12_3 = e12 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (2081) imply: % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_24_12 = e12 % 63.02/9.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (877), (2081) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) h4(e12) = all_28_26 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1597) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_16_10 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (860), (2084) are inconsistent by sub-proof % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #117. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) ~ (all_16_10 = e12) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_16_10 = e11 | all_16_10 = e10 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2086) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_16_10 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (2087) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_12_10 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2088) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_12_10 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (766), (2089) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_24_8 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (2089) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) h4(e11) = all_28_21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2055) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_24_7 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2092) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_12_6 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2093) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_12_6 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2094) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) ~ (all_12_5 = e12) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1613), (2094) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) ~ (e13 = e12) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (874), (2094) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) h4(e12) = all_28_19 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_24_2 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2056), (2098) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) e12 = e10 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2099) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) $false % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2100) is inconsistent. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_16_5 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2102) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_12_5 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2095), (2103) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) $false % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2104) is inconsistent. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) ~ (all_16_5 = e12) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_16_5 = e11 | all_16_5 = e10 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2106) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_16_5 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2107) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_12_5 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2108) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_24_3 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1521), (2108) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) ~ (e13 = e11) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2110) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) ~ (e13 = e11) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (2108) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) h4(e11) = all_28_11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_24_12 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (844), (2082), (2113) are inconsistent by % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) ~ (all_24_12 = e11) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_24_13 = e11 | all_24_14 = e11 | all_24_15 = % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2101) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_24_3 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2109), (2116) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) e12 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2117) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) $false % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2118) is inconsistent. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_24_5 = e12 | all_24_10 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2119) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_24_5 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1586), (2120) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) e13 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2121) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) e13 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (2122) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) $false % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2123) is inconsistent. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_24_10 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (2124) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) all_12_13 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2125) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_12_13 = e12 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (2126) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) h4(e12) = all_28_15 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2115) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_24_13 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1610), (2111), (2128) are inconsistent by % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_24_14 = e11 | all_24_15 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_24_14 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2075), (2130) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) e11 = e10 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2131) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) $false % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2132) is inconsistent. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_24_15 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2133) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_12_15 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2134) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_12_15 = e11 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (2135) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) h4(e11) = all_28_35 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e20, all_28_9, e10, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1026), (2064) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_28_9 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_23, all_28_9, e10, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2064), (2073) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_28_9 = all_28_23 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_32, all_28_9, e10, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2064), (2079) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_28_9 = all_28_32 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e21, all_28_11, e11, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (881), (2112) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_28_11 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_21, all_28_11, e11, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2091), (2112) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_28_11 = all_28_21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_35, all_28_11, e11, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2112), (2136) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_28_11 = all_28_35 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e22, all_28_19, e12, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1010), (2097) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_28_19 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_19, all_28_15, e12, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2097), (2127) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_28_15 = all_28_19 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_26, all_28_15, e12, % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2083), (2127) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_28_15 = all_28_26 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2137), (2138) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_28_23 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2138), (2139) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_28_23 = all_28_32 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2141), (2142) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_28_21 = all_28_35 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2140), (2141) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_28_21 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2144), (2145) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_28_19 = all_28_26 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2150) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_28_19 = all_28_26 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2143), (2151) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_28_26 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2148), (2149) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_28_35 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2153) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_28_35 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2146), (2147) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_28_32 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2145), (2152) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_28_15 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_22_0 = all_22_1 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (625), (1984), (2157) are inconsistent by % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #47. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_22_2 = all_22_3 | all_22_4 = all_22_5 | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_26_12 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2159) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_14_3 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2160) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_14_3 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1037), (2161) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_28_24 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2161) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) ~ (all_14_1 = e22) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2161) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) ~ (all_10_1 = e22) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2164) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) ~ (all_10_1 = e22) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1998) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_18_4 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (2163), (2166) are inconsistent by % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_18_4 = e21 | all_18_4 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2167) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_18_4 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (788), (2168) are inconsistent by sub-proof % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #45. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_18_4 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2169) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_14_1 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2170) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_14_1 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1021), (2171) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_28_8 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2171) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) ~ (all_14_13 = e20) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2173) implies: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) ~ (all_14_13 = e20) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1968), (2171) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) ~ (e23 = e20) % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_18_15 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (2176) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) all_10_1 = e22 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2165), (2177) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) $false % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2178) is inconsistent. % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_18_15 = e21 | all_18_15 = e20 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2179) gives: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_18_15 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (2180) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_10_1 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1034), (2181) imply: % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_28_33 = e21 % 63.02/9.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2181) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) ~ (all_14_11 = e21) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (2181) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) ~ (all_14_13 = e21) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2004) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_18_7 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (2185) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_14_13 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2186) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_14_13 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (2187) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_26_10 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1039), (2187) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_28_14 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (2187) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) ~ (all_6_1 = e22) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2190) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) ~ (all_6_1 = e22) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2049) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_26_9 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (965), (2192) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) e23 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2193) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) e23 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2194) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2195) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_26_10 = e20 | all_26_11 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2196) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_26_10 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2188), (2197) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) e22 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2198) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) e22 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2199) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2200) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_26_11 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (2201) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_14_14 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2202) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_14_14 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1038), (2203) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_28_22 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_18_5 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (556), (2191), (2205) are inconsistent by % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_18_5 = e21 | all_18_5 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2206) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_18_5 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (2207) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_6_1 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2208) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_6_1 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1020), (2209) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_28_10 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (2209) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) ~ (all_14_6 = e21) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_18_14 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2212) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_14_11 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2213) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_14_11 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (2214) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2215) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_18_14 = e21 | all_18_14 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_18_14 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2217) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_14_11 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2218) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_14_11 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2183), (2219) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2220) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_18_14 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2221) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_14_11 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2222) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_14_11 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1035), (2223) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_28_30 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (2223) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) ~ (all_4_1 = e20) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2225) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) ~ (all_4_1 = e20) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1652) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_18_9 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2227) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_14_6 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2228) implies: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_14_6 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1018), (2229) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_28_18 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) ~ (all_28_0 = all_28_1) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (993), (999), (2231) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2232) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) ~ (all_28_2 = all_28_3) | ~ (all_28_4 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2233) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) ~ (all_28_2 = all_28_3) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1024), (1025), (2234) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2235) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) ~ (all_28_4 = all_28_5) | ~ (all_28_6 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1995) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) all_18_10 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2237) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_4_1 = e22 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2238) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2239) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_18_10 = e21 | all_18_10 = e20 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2240) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_18_10 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2241) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_4_1 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (983), (2242) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_28_20 = e21 % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2236) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) ~ (all_28_4 = all_28_5) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (991), (1009), (2244) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2245) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) ~ (all_28_6 = all_28_7) | ~ (all_28_8 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2246) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) ~ (all_28_6 = all_28_7) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1001), (1040), (2247) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2248) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) ~ (all_28_8 = all_28_9) | ~ (all_28_10 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2249) gives: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) ~ (all_28_8 = all_28_9) % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2137), (2172), (2250) imply: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) $false % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2251) is inconsistent. % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) ~ (all_28_10 = all_28_11) | ~ (all_28_12 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2252) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) ~ (all_28_10 = all_28_11) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2140), (2210), (2253) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2254) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) ~ (all_28_12 = all_28_13) | ~ (all_28_14 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2255) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) ~ (all_28_12 = all_28_13) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1592), (1980), (2256) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2257) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) ~ (all_28_14 = all_28_15) | ~ (all_28_16 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2258) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) ~ (all_28_14 = all_28_15) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2156), (2189), (2259) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2260) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) ~ (all_28_16 = all_28_17) | ~ (all_28_18 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2261) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) ~ (all_28_16 = all_28_17) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1616), (1985), (2262) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2263) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) ~ (all_28_18 = all_28_19) | ~ (all_28_20 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2264) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) ~ (all_28_18 = all_28_19) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2143), (2230), (2265) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2266) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) ~ (all_28_20 = all_28_21) | ~ (all_28_22 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2267) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) ~ (all_28_20 = all_28_21) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2149), (2243), (2268) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2269) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) ~ (all_28_22 = all_28_23) | ~ (all_28_24 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2270) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) ~ (all_28_22 = all_28_23) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2146), (2204), (2271) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2272) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) ~ (all_28_24 = all_28_26) | ~ (all_28_27 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2273) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) ~ (all_28_24 = all_28_26) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2152), (2162), (2274) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2275) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) ~ (all_28_27 = all_28_29) | ~ (all_28_30 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2276) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) ~ (all_28_27 = all_28_29) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1618), (1630), (2277) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2278) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) ~ (all_28_30 = all_28_32) | ~ (all_28_33 = % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2279) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) ~ (all_28_30 = all_28_32) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2155), (2224), (2280) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2281) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) ~ (all_28_33 = all_28_35) % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2154), (2182), (2283) imply: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) $false % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2284) is inconsistent. % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2285) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2286) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2287) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) ~ (all_28_25 = e23) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (2288) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2289) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2290) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) ~ (all_28_28 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1008), (2291) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2292) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2293) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2294) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) ~ (all_28_31 = e21) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (2295) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2296) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2297) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) ~ (all_28_34 = e20) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1023), (2298) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2299) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_18_10 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2300) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_4_1 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2226), (2301) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2302) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_18_9 = e21 | all_18_9 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (701), (804), (2211), (2303) are inconsistent by % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_18_5 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (556), (802), (2304) are inconsistent by sub-proof % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #56. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_18_7 = e21 | all_18_7 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (2174), (2184), (2305) are inconsistent by % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_18_15 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (2306) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_10_1 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2050), (2307) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2308) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) ~ (all_26_12 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2309) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) ~ (all_14_3 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_26_0 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2311) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) e22 = e21 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2312) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2313) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2314) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_26_2 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2315) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_14_1 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2316) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_14_1 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (2317) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_22_3 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2317) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) ~ (all_6_1 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2319) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) ~ (all_6_1 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (2317) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) op2(e22, e22) = all_22_2 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_26_2 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (808), (2315), (2322) are inconsistent by % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) ~ (all_26_2 = e20) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_26_0 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (793), (2325) are inconsistent by sub-proof % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #69. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_26_1 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (777), (2327) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) e22 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2328) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2329) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) ~ (all_26_1 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_26_3 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (2320), (2332) are inconsistent by % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) ~ (all_26_3 = e22) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_26_7 = e22 | all_26_13 = e22 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2324) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_26_3 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (802), (2335) are inconsistent by sub-proof % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_26_5 = e20 | all_26_10 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2326) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_26_2 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (808), (2315), (2337) are inconsistent by % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_26_6 = e20 | all_26_12 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2338) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_26_6 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1981), (2339) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) e23 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2340) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) e23 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2341) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) $false % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2342) is inconsistent. % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_26_12 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2343) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_14_3 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2344) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_14_3 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2345) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_22_7 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1631), (2345) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) ~ (e23 = e20) % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (2345) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) op2(e20, e20) = all_22_6 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2336) gives: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_26_5 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1977), (2349) imply: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) e23 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2350) implies: % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) e23 = e20 % 63.02/9.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2351) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2352) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_26_10 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (2353) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_14_13 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2354) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_14_13 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2355) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) ~ (all_14_14 = e20) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2356) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) ~ (all_14_14 = e20) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (2355) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) ~ (all_10_1 = e20) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_26_2 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2315), (2359) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) e22 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2360) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) e22 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2361) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2362) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2363) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_26_3 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (2364) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_6_1 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2365) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_6_1 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2366) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) op2(e22, e22) = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2334) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_26_7 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2368) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_14_6 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2369) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_14_6 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2370) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) ~ (all_14_14 = e22) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2371) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) ~ (all_14_14 = e22) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2002) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_18_11 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2373) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_14_14 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2372), (2374) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2375) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_18_11 = e21 | all_18_11 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2376) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_18_11 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2377) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_14_14 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (2378) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) ~ (all_10_1 = e21) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2379) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) ~ (all_10_1 = e21) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (831), (2378) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) ~ (all_4_1 = e21) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2381) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) ~ (all_4_1 = e21) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_18_15 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (2383) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_10_1 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2384) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_10_1 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (2385) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) op2(e22, e22) = all_28_138 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (2385) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) op2(e20, e20) = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1995) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) all_18_10 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2388) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_4_1 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2389) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2390) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) ~ (all_18_10 = e22) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_18_10 = e21 | all_18_10 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2392) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_18_10 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2393) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_4_1 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2382), (2394) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2395) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_18_10 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2396) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_4_1 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (2397) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) op2(e20, e20) = all_28_92 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_22_6, all_28_92, e20, % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (2348), (2398) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_28_92 = all_22_6 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_28_92, e20, e20, % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2387), (2398) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) all_28_92 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_22_2, all_28_138, e22, % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (2321), (2386) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_28_138 = all_22_2 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e21, all_28_138, e22, e22, % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2367), (2386) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) all_28_138 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2399), (2400) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_22_6 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2403) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) all_22_6 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2401), (2402) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_22_2 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2405) implies: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_22_2 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2158) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_22_2 = all_22_3 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2406), (2407) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_22_3 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2318), (2408) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) e22 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2409) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2410) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) all_22_4 = all_22_5 | all_22_6 = all_22_7 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2411) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) all_22_4 = all_22_5 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1983), (1990), (2412) are inconsistent by % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_22_6 = all_22_7 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2404), (2413) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) all_22_7 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (808), (2346), (2414) are inconsistent by % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) all_18_15 = e21 | all_18_15 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (524), (2050), (2380), (2415) are inconsistent by % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_18_11 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2416) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_14_14 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2357), (2417) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2418) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_26_13 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1629), (2419) are inconsistent by sub-proof % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #66. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) ~ (all_26_3 = e21) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2420) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) ~ (all_6_1 = e21) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (556), (802), (1647), (2320), (2421) are % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) ~ (all_26_2 = e22) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2422) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) ~ (all_14_1 = e22) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1998) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_18_4 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (2423), (2424) are inconsistent by % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_18_4 = e21 | all_18_4 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_18_12 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2426) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_14_3 = e22 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2310), (2427) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2428) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) all_18_12 = e21 | all_18_12 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2429) gives: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_18_12 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2430) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) all_14_3 = e21 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (2431) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) $false % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2432) is inconsistent. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_18_12 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2433) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) all_14_3 = e20 % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2434) imply: % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) ~ (all_14_1 = e20) % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (788), (2425), (2435) are inconsistent by % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_16_5 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2436) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_12_5 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (848), (2437) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2438) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_24_8 = e12 | all_24_11 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2439) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_24_8 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2090), (2440) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) e12 = e11 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2441) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2442) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_24_11 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2070), (2443) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) e12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2444) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2445) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_16_10 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (735), (2078), (2446) are inconsistent by % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_16_12 = e11 | all_16_12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (841), (2060), (2447) are inconsistent by % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) ~ (all_24_2 = e10) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (2448) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) ~ (all_12_1 = e10) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_24_0 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (2450) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) e11 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2451) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) e11 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2452) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2453) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1594) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_16_4 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (2455) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) all_12_1 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (2456) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_20_3 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (2456) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_24_2 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2456) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) ~ (all_12_3 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2459) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) ~ (all_12_3 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (2456) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) ~ (all_12_5 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2461) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) ~ (all_12_5 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2456) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) ~ (all_12_13 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2463) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) ~ (all_12_13 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1587), (2456) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) ~ (e13 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (2456) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) op1(e12, e12) = all_20_2 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_16_5 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2467) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_12_5 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2462), (2468) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2469) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) ~ (all_16_5 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_16_5 = e11 | all_16_5 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2471) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_16_5 = e11 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2472) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_12_5 = e11 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2473) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_24_3 = e11 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2473) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) ~ (all_12_6 = e11) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2475) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) ~ (all_12_6 = e11) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2473) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) ~ (all_12_13 = e11) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2477) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) ~ (all_12_13 = e11) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1521), (2473) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) ~ (e13 = e11) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2479) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) ~ (e13 = e11) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2473) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) op1(e12, e12) = e11 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_24_1 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (768), (2482) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) e12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2483) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2484) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2485) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) all_24_3 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2474), (2486) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) e12 = e11 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2487) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2488) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_24_7 = e12 | all_24_13 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2489) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_24_7 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2490) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_12_6 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2491) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_12_6 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2492) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) ~ (all_12_14 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2493) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) ~ (all_12_14 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1045) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_16_7 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (740), (2464), (2495) are inconsistent by % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) ~ (all_16_7 = e12) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_16_7 = e11 | all_16_7 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2497) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_16_7 = e11 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (740), (2478), (2498) are inconsistent by % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_16_7 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (740), (2499) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_12_13 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2500) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_12_13 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (2501) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_24_10 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (2501) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) ~ (e13 = e10) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_24_9 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (944), (2504) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) e13 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2505) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) e13 = e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (2506) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2507) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_24_10 = e12 | all_24_11 = e12 | all_24_15 = % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) all_24_2 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2458), (2509) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) e12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2510) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) e12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2511) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2512) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_24_6 = e10 | all_24_12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2513) gives: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_24_6 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1603), (2514) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) e13 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2515) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) e13 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (2516) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) $false % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2517) is inconsistent. % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_24_12 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (2518) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_12_3 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2519) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_12_3 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2520) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_20_7 = e10 % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2520) imply: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) ~ (all_12_15 = e10) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2522) implies: % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) ~ (all_12_15 = e10) % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (927), (2520) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) op1(e10, e10) = all_20_6 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2508) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_24_10 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2502), (2525) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) e12 = e10 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2526) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) $false % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2527) is inconsistent. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_24_11 = e12 | all_24_15 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2528) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_24_11 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (614), (2494), (2529) are inconsistent by % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_24_15 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2530) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_12_15 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2531) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_12_15 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2532) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) op1(e10, e10) = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e12, all_20_6, e10, e10, % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2524), (2533) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_20_6 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e11, all_20_2, e12, e12, % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2466), (2481) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_20_2 = e11 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_20_0 = all_20_1 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1602), (2536) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_20_1 = e13 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2537) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_20_1 = e13 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (2480), (2538) are inconsistent by % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_20_2 = all_20_3 | all_20_4 = all_20_5 | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_6 = all_20_7 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_20_2 = all_20_3 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2535), (2540) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_20_3 = e11 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2541) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_20_3 = e11 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2457), (2542) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) e12 = e11 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2543) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) $false % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2544) is inconsistent. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_20_4 = all_20_5 | all_20_6 = all_20_7 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2545) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_20_4 = all_20_5 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (951), (1601), (1615), (2546) are inconsistent by % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #88. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_20_6 = all_20_7 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2534), (2547) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_20_7 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2548) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_20_7 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2521), (2549) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) e12 = e10 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2550) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) e12 = e10 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2530), (2551) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) all_24_15 = e10 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2528) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_24_11 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (614), (2494), (2553) are inconsistent by % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2551) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) $false % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2554) is inconsistent. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_24_13 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1610), (2555) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) e13 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2556) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) e13 = e12 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (2557) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) $false % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2558) is inconsistent. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_16_5 = e10 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2559) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_12_5 = e10 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (848), (2560) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) $false % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2561) is inconsistent. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) all_16_4 = e11 | all_16_4 = e10 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (720), (837), (2449), (2562) are inconsistent by % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) ~ (all_26_6 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (381), (536), (562), (578), (773), (1631), % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968), (2563) are inconsistent by sub-proof #30. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_26_8 = e23 | all_26_14 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2564) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_26_8 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (2565) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_4_1 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2566) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) ~ (all_14_2 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (773), (1631), (1976), (2567) are % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #31. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_26_14 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (1634), (2568) are inconsistent by % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | End of split % 63.02/9.92 | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | (2569) ~ (all_18_13 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | (2570) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = % 63.02/9.92 | | | | | | | | | | | | | | | | | | e20 % 63.02/9.92 | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | REDUCE: (702), (2569) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | (2571) ~ (all_14_7 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | (2572) all_18_14 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2572) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | (2573) all_14_11 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (2573) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | (2574) all_22_23 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (770), (2573) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | (2575) all_26_14 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2573) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | (2576) ~ (all_14_3 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | REDUCE: (829), (2573) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | (2577) ~ (all_4_1 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | SIMP: (2577) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | (2578) ~ (all_4_1 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | (2579) all_18_12 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (2576), (2579) are inconsistent by % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | sub-proof #82. % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_18_12 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | (2581) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | (2582) all_18_5 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (2582) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | (2583) all_6_1 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | SIMP: (2583) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | (2584) all_6_1 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2584) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | (2585) ~ (all_14_1 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2584) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | (2586) op2(e22, e23) = all_6_0 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2584) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | (2587) op2(e22, e22) = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2588) all_26_6 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (2588) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2589) all_14_2 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2589) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2590) all_14_2 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (2590) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2591) all_22_5 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (2590) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2592) all_22_0 = e23 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (2590) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2593) ~ (all_14_3 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2590) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2594) ~ (all_14_6 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2594) implies: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2595) ~ (all_14_6 = e23) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (2590) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2596) op2(e23, e21) = all_22_4 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_14_1, all_6_0, e23, % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (177), (2586) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2597) all_14_1 = all_6_0 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_22_4, e21, e23, % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (2596) gives: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2598) all_22_4 = e22 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2597) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2599) all_18_4 = all_6_0 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (2597) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2600) all_22_3 = all_6_0 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2597) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2601) all_26_2 = all_6_0 % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2597) imply: % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | (2602) ~ (all_14_3 = all_6_0) % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.92 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2602) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | (2603) ~ (all_14_3 = all_6_0) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2585), (2597) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | (2604) ~ (all_6_0 = e23) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (2597) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | (2605) ~ (all_6_0 = e21) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (2597) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | (2606) op2(all_6_0, e22) = all_22_2 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_44, all_22_2, e22, % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | all_6_0, simplifying with (900), (2606) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | (2607) all_28_44 = all_22_2 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | (2608) all_18_4 = e23 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2599), (2608) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | (2609) all_6_0 = e23 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2604), (2609) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | (2610) $false % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2610) is inconsistent. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | (2611) ~ (all_18_4 = e23) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | (2612) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_18_9 = e23 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2613) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_14_6 = e23 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2595), (2614) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | (2615) $false % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2615) is inconsistent. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_26_15 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (2617) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_10_1 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (2618) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_22_31 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2618) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2620) ~ (all_14_3 = e20) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_26_12 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2621) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_14_3 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (2622) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) $false % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2623) is inconsistent. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) ~ (all_26_12 = e21) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_26_13 = e21 | all_26_14 = e21 | all_26_15 = % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2625) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_26_13 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (2626) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_14_7 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (2627) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) all_22_15 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2627) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) ~ (all_14_6 = e21) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2571), (2627) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) ~ (e23 = e21) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2616) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_18_9 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2631) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_14_6 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2632) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) all_22_13 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_26_12 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2634) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_14_3 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2635) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_22_7 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2603), (2635) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) ~ (all_6_0 = e22) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2637) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) ~ (all_6_0 = e22) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2576), (2635) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) ~ (e23 = e22) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2612) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_18_4 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2599), (2640) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_6_0 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2641) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_6_0 = e22 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2638), (2642) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) $false % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2643) is inconsistent. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) ~ (all_18_4 = e22) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_18_4 = e21 | all_18_4 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2645) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_18_4 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2599), (2646) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_6_0 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2647) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_6_0 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2605), (2648) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) $false % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2649) is inconsistent. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_18_4 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2599), (2650) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_6_0 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2651) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_6_0 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2652) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_22_3 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2604), (2652) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) ~ (e23 = e20) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2605), (2652) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) ~ (e21 = e20) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2656) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2657) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (808), (2653), (2658) are inconsistent by % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (808), (2591), (2636), (2659) are % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #58. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2660) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (571), (2661) are inconsistent by sub-proof % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #78. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2662) gives: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2663) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_22_13 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2633), (2664) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) e22 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2665) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) e22 = e21 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2666) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) $false % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2667) is inconsistent. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22) % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2668) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_22_15 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2628), (2669) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) e21 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2670) implies: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) e21 = e20 % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2671) imply: % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) $false % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2672) is inconsistent. % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (553), (567), (820), (2574), (2619), % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) are inconsistent by sub-proof #26. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) ~ (all_26_12 = e22) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2674) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) ~ (all_14_3 = e22) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (792), (2581), (2620), (2675) are % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_18_9 = e21 | all_18_9 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (701), (804), (2629), (2676) are inconsistent by % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) ~ (all_26_13 = e21) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (2677) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) ~ (all_14_7 = e21) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2570) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_18_13 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (2679) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_14_7 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2680) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_14_7 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (2681) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) ~ (all_14_3 = e22) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (792), (2581), (2620), (2682) are % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_18_13 = e21 | all_18_13 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (806), (2678), (2683) are inconsistent by % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2684) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2684) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_26_12 = e20 | all_26_13 = e20 | all_26_14 = % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2685) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_26_12 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2686) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_14_3 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2687) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_22_7 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2687) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) ~ (all_10_1 = e20) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2689) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) ~ (all_10_1 = e20) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (2687) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) op2(e20, e20) = all_22_6 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2612) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_18_4 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2599), (2692) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_6_0 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2693) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_6_0 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2694) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_22_3 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2604), (2694) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) ~ (e23 = e22) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (2694) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) op2(e22, e22) = all_28_46 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2606), (2694) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) op2(e22, e22) = all_22_2 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_10_1, all_22_6, e20, % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (50), (2691) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_22_6 = all_10_1 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e23, all_28_46, e22, e22, % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2587), (2697) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_28_46 = e23 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_22_2, all_28_46, e22, % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (2697), (2698) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) all_28_46 = all_22_2 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2700), (2701) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_22_2 = e23 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_22_0 = all_22_1 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (625), (2592), (2703) are inconsistent by % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #47. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_22_2 = all_22_3 | all_22_4 = all_22_5 | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2704) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_22_2 = all_22_3 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2702), (2705) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_22_3 = e23 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2695), (2706) are inconsistent by sub-proof % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #80. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) ~ (all_22_2 = all_22_3) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_22_4 = all_22_5 | all_22_6 = all_22_7 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_22_4 = all_22_5 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2591), (2598), (2709) are inconsistent by % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_22_6 = all_22_7 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2688), (2690), (2699), (2710) are inconsistent by % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) ~ (all_18_4 = e22) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2599), (2711) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_6_0 = e22) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_26_0 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2713) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) e22 = e21 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2714) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) e22 = e21 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2715) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) $false % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2716) is inconsistent. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2717) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_26_2 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2718) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_6_0 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2712), (2719) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) $false % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2720) is inconsistent. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_26_6 = e22 | all_26_12 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2721) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) all_26_6 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2588), (2722) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) e23 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2723) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) $false % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2724) is inconsistent. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) all_26_12 = e22 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2686), (2725) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) e22 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2726) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) e22 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2727) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) $false % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2728) is inconsistent. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_26_13 = e20 | all_26_14 = e20 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (771), (806), (2575), (2729) are inconsistent % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #22. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2730) ~ (all_26_6 = e23) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (381), (536), (562), (578), (773), (2576), % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2585), (2730) are inconsistent by sub-proof #30. % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | (2731) ~ (all_18_5 = e23) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (2731) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | (2732) ~ (all_6_1 = e23) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2733) all_26_2 = e23 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2733) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2734) all_14_1 = e23 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2734) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2735) all_14_1 = e23 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (2735) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2736) all_22_3 = e23 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2735) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2737) ~ (all_14_2 = e23) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2737) implies: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2738) ~ (all_14_2 = e23) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2735) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2739) ~ (all_14_3 = e23) % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (2735) imply: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | (2740) op2(e23, e22) = all_22_2 % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.94 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | (2741) all_26_6 = e23 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (773), (2738), (2741) are inconsistent by % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | (2742) all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2742) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_26_7 = e23 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2743) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_14_6 = e23 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2744) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_14_6 = e23 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2745) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_22_13 = e23 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e20, all_22_2, e22, e23, % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (2740) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_22_2 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_18_8 = e23 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (2738), (2748) are inconsistent by % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_26_15 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (2750) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_10_1 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2751) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_10_1 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (2752) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_22_31 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2752) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) ~ (all_14_3 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (974), (2752) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) ~ (e23 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_18_12 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2756) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_14_3 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2757) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_14_3 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2758) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) all_22_7 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2758) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_26_12 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (2758) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_14_2 = e22) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2576), (2758) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) ~ (e23 = e22) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2764) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2765) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_22_3 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2736), (2766) are inconsistent by sub-proof % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #80. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (790), (2768) are inconsistent by sub-proof % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #19. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2769) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_22_7 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2759), (2770) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) e22 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2771) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) e22 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2760), (2772) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_26_12 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (380), (578), (773), (795), (808), (2733), % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761), (2773) are inconsistent by sub-proof #18. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (531), (571), (806), (2746), (2774) are % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (553), (567), (820), (2574), (2753), % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) are inconsistent by sub-proof #26. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_18_12 = e21 | all_18_12 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (792), (2754), (2776) are inconsistent by % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2777) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_26_12 = e20 | all_26_13 = e20 | all_26_14 = % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2778) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_26_12 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2779) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_14_3 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2780) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_14_3 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2781) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_22_7 = e20 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2781) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) ~ (all_10_1 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2783) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) ~ (all_10_1 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2576), (2781) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) ~ (e23 = e20) % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (2781) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) op2(e20, e20) = all_22_6 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_18_8 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2787) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_14_2 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2788) implies: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_14_2 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (2789) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_22_5 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (2789) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_22_0 = e22 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (2789) imply: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) op2(e22, e21) = all_22_4 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_10_1, all_22_6, e20, % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (50), (2786) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_22_6 = all_10_1 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_14_9, all_22_4, e21, % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (175), (2792) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_22_4 = all_14_9 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_22_0 = all_22_1 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (625), (795), (2791), (2795) are inconsistent by % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64. % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_22_2 = all_22_3 | all_22_4 = all_22_5 | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2796) gives: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_22_2 = all_22_3 % 63.02/9.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2736), (2747), (2797) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_22_4 = all_22_5 | all_22_6 = all_22_7 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2798) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_22_4 = all_22_5 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2794), (2799) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_22_5 = all_14_9 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2790), (2800) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_14_9 = e22 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2801) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_14_9 = e22 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2802) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) $false % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2803) is inconsistent. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_22_6 = all_22_7 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2782), (2784), (2793), (2804) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) ~ (all_18_8 = e22) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (2805) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) ~ (all_14_2 = e22) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (380), (578), (773), (795), (808), (2733), % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779), (2806) are inconsistent by sub-proof #18. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_26_13 = e20 | all_26_14 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (771), (806), (2575), (2807) are inconsistent % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #22. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_26_8 = e23 | all_26_11 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (539), (543), (972), (2578), (2808) are % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | (2809) ~ (all_26_2 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2809) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | (2810) ~ (all_14_1 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2811) all_26_1 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (777), (2811) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2812) e23 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2812) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2813) $false % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2813) is inconsistent. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2814) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_26_3 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (2732), (2815) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_26_7 = e23 | all_26_13 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_26_0 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2817) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2818) e23 = e21 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2818) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2819) $false % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2819) is inconsistent. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2820) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_26_2 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2810), (2821) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_26_6 = e23 | all_26_12 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2822) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_26_6 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (2823) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) all_14_2 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2824) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_14_2 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2825) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) ~ (all_14_6 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2826) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) ~ (all_14_6 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (771), (2571), (2816), (2827) are % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_26_12 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (2576), (2828) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.96 | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | (2829) ~ (all_18_14 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | REDUCE: (709), (2829) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | (2830) ~ (all_14_11 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2831) all_26_12 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2831) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2832) all_14_3 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | SIMP: (2832) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2833) all_14_3 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (982), (2833) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2834) all_22_8 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2833) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2835) all_22_7 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2833) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2836) ~ (all_14_1 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (2833) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2837) ~ (all_14_2 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (2833) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2838) ~ (all_14_7 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2833) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | (2839) ~ (all_14_11 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | (2840) all_18_8 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (2837), (2840) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | sub-proof #20. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | (2841) ~ (all_18_8 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | (2842) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | (2843) all_18_4 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (2836), (2843) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | (2844) ~ (all_18_4 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | (2845) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2846) all_18_6 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2846) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2847) all_14_9 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2847) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2848) all_14_9 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2848) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2849) all_22_19 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2848) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2850) all_26_5 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (2848) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2851) ~ (all_4_1 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2851) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2852) ~ (all_4_1 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (2848) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | (2853) op2(e22, e21) = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_26_6 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (773), (2837), (2854) are inconsistent by % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_26_7 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2856) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_14_6 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2857) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_14_6 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2858) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_22_13 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (2858) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2860) ~ (all_6_1 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2860) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2861) ~ (all_6_1 = e23) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_18_5 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (2862) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_6_1 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2863) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_6_1 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2861), (2864) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) $false % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2865) is inconsistent. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_18_7 = e23 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (970), (2867) are inconsistent by sub-proof % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_26_15 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (2869) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_10_1 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2870) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_10_1 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (2871) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_22_31 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_26_2 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2873) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_14_1 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2874) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_14_1 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (2875) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_22_3 = e20 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2875) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) ~ (all_14_2 = e20) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2877) implies: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) ~ (all_14_2 = e20) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2836), (2875) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) ~ (e23 = e20) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (2875) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) ~ (e21 = e20) % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_26_0 = e22 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2881) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) e22 = e21 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2882) imply: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) $false % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2883) is inconsistent. % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2884) gives: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_26_2 = e22 % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2873), (2885) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) e22 = e20 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2886) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) $false % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2887) is inconsistent. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_26_6 = e22 | all_26_12 = e22 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2888) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_26_6 = e22 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (2889) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_14_2 = e22 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2890) implies: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_14_2 = e22 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (2891) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_22_5 = e22 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2837), (2891) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) ~ (e23 = e22) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2894) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2895) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (808), (2876), (2896) are inconsistent by % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2897) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2898) implies: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_22_5 = e21 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2892), (2899) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) e22 = e21 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2900) implies: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) e22 = e21 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2901) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) $false % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2902) is inconsistent. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2835), (2903) are inconsistent by sub-proof % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #9. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (531), (571), (806), (2859), (2904) are % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2905) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2906) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (567), (2907) are inconsistent by sub-proof % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2849), (2909) are inconsistent by sub-proof % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2910) implies: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_22_23 = e20 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (2911) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_14_11 = e20 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2912) implies: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_14_11 = e20 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (770), (2913) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_26_14 = e20 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (28), (151), (155), (159), (168), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (308), (309), (369), (372), (377), (524), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531), (539), (543), (547), (550), (556), (567), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571), (628), (640), (647), (693), (713), (763), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769), (771), (772), (775), (776), (777), (793), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795), (798), (799), (802), (806), (816), (818), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831), (834), (835), (920), (921), (922), (965), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968), (972), (974), (1002), (1625), (2571), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835), (2836), (2842), (2849), (2850), (2852), % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853), (2856), (2859), (2866), (2868), (2914) are % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2872), (2915) are inconsistent by sub-proof #75. % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_26_12 = e22 % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2831), (2916) imply: % 63.02/9.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) e23 = e22 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2917) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) e23 = e22 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2918) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) $false % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2919) is inconsistent. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) ~ (all_26_2 = e20) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2920) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) ~ (all_14_1 = e20) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_18_4 = e22 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2922) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_14_1 = e22 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2923) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_14_1 = e22 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2924) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) ~ (all_14_2 = e22) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2925) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) ~ (all_14_2 = e22) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2924) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) ~ (all_14_13 = e22) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2927) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) ~ (all_14_13 = e22) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2924) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) ~ (all_6_1 = e22) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2929) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) ~ (all_6_1 = e22) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2836), (2924) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) ~ (e23 = e22) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (28), (151), (168), (170), (309), (369), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (524), (539), (550), (556), (647), (693), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713), (763), (769), (771), (772), (776), (777), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790), (802), (808), (816), (818), (834), (835), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920), (921), (922), (965), (968), (972), (974), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002), (1625), (2571), (2842), (2853), (2856), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866), (2868), (2926), (2928), (2930) are % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) all_18_4 = e21 | all_18_4 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (691), (788), (2921), (2932) are inconsistent by % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2933) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_26_12 = e20 | all_26_13 = e20 | all_26_14 = % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2934) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_26_12 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2831), (2935) are inconsistent by sub-proof % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #5. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_26_13 = e20 | all_26_14 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2936) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_26_13 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (806), (2937) are inconsistent by sub-proof % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #4. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_26_14 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (770), (2938) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_14_11 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2939) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_14_11 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2830), (2940) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) ~ (e23 = e20) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (28), (151), (155), (159), (168), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (308), (309), (369), (372), (377), (524), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531), (539), (543), (547), (550), (556), (567), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571), (628), (640), (647), (693), (713), (763), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769), (771), (772), (775), (776), (777), (793), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795), (798), (799), (802), (806), (816), (818), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831), (834), (835), (920), (921), (922), (965), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968), (972), (974), (1002), (1625), (2571), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835), (2836), (2842), (2849), (2850), (2852), % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853), (2856), (2859), (2866), (2868), (2938) are % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_26_8 = e23 | all_26_11 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (539), (543), (972), (2852), (2942) are % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | (2943) ~ (all_18_6 = e23) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (2943) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | (2944) ~ (all_14_9 = e23) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_26_4 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (2945) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | (2946) e23 = e22 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2946) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | (2947) $false % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2947) is inconsistent. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2949) all_26_5 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2949) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2950) all_14_9 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2950) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_14_9 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2944), (2951) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2952) $false % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2952) is inconsistent. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_26_8 = e23 | all_26_14 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2953) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) all_26_8 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (2954) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_4_1 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2955) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) all_4_1 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (2956) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) ~ (all_14_6 = e23) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2956) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) op2(e21, e23) = all_4_0 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (2956) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) op2(e21, e21) = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_26_1 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (777), (2960) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) e23 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2961) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) $false % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2962) is inconsistent. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_26_2 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (2836), (2964) are inconsistent by % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2965) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) all_26_3 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (2966) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_6_1 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2967) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_6_1 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (764), (2968) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_22_11 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (2968) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) op2(e23, e22) = all_22_10 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_14_2, all_4_0, e23, % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (173), (2958) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_14_2 = all_4_0 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e20, all_22_10, e22, e23, % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (2970) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_22_10 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (2971) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_22_5 = all_4_0 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (2971) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) ~ (all_4_0 = e21) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) all_18_11 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (715), (972), (2975) are inconsistent by sub-proof % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #81. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_18_11 = e22 | all_18_11 = e21 | all_18_11 = % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_18_7 = e23 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (970), (2977) are inconsistent by sub-proof % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) ~ (all_18_7 = e23) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_26_15 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (2980) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_10_1 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2981) implies: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_10_1 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (2982) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_22_31 = e20 % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2982) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) ~ (all_14_11 = e20) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (2982) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) ~ (all_14_14 = e20) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (974), (2982) imply: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) ~ (e23 = e20) % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2987) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2835), (2969), (2973), (2974), (2988) are % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3. % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2989) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2990) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_22_9 = e23 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (571), (2991) are inconsistent by sub-proof % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2992) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2993) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_22_13 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) ~ (all_22_27 = e20) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2994) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_14_6 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2996) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_14_6 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (2995) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) ~ (all_14_13 = e20) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2997) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) ~ (all_14_7 = e21) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2999) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) ~ (all_14_7 = e21) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2997) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) ~ (all_14_14 = e21) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3001) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) ~ (all_14_14 = e21) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2957), (2997) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) ~ (e23 = e21) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (2997) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) op2(e21, e21) = all_22_12 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2976) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_18_11 = e22 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (3005) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_14_14 = e22 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3006) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_14_14 = e22 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3007) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) ~ (all_14_13 = e22) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2570) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_18_13 = e22 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (3009) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_14_7 = e22 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (3010) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_22_15 = e22 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (3010) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) op2(e22, e20) = all_22_14 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2979) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_18_7 = e22 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (3008), (3013) are inconsistent by % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #72. % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) ~ (all_18_7 = e22) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_18_7 = e21 | all_18_7 = e20 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) all_26_9 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (965), (3016) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) e23 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3017) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) $false % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3018) is inconsistent. % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_26_10 = e21 | all_26_11 = e21 | all_26_15 = % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3019) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_26_10 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (3020) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_14_13 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (3021) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) op2(e22, e20) = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e23, all_22_12, e21, e21, % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2959), (3004) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) all_22_12 = e23 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e21, all_22_14, e20, e22, % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3012), (3022) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_22_14 = e21 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_22_8 = all_22_9 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2834), (3025) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) all_22_9 = e23 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3026) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_22_9 = e23 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (571), (3027) are inconsistent by sub-proof % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) ~ (all_22_8 = all_22_9) % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_22_10 = all_22_11 | all_22_12 = all_22_13 | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = all_22_15 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3029) gives: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) all_22_10 = all_22_11 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2972), (3030) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_22_11 = e20 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3031) implies: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_22_11 = e20 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2969), (3032) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) e23 = e20 % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3033) imply: % 63.02/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) $false % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3034) is inconsistent. % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) all_22_12 = all_22_13 | all_22_14 = all_22_15 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3035) gives: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_22_12 = all_22_13 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3023), (3036) imply: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_22_13 = e23 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2994), (3037) are inconsistent by sub-proof % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_22_14 = all_22_15 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3024), (3038) imply: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) all_22_15 = e21 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3011), (3039) imply: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) e22 = e21 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (3040) imply: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) $false % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3041) is inconsistent. % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) ~ (all_26_10 = e21) % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (3042) imply: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) ~ (all_14_13 = e21) % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (713), (2998), (3015), (3043) are inconsistent by % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42. % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_18_13 = e21 | all_18_13 = e20 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (702), (806), (3000), (3044) are inconsistent by % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) all_18_11 = e21 | all_18_11 = e20 % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (715), (2985), (3002), (3045) are inconsistent by % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70. % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22) % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (806), (3046) are inconsistent by sub-proof % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16. % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/9.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3047) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3048) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (567), (3049) are inconsistent by sub-proof % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3050) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (553), (820), (3051) are inconsistent by sub-proof % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #27. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (2984), (3052) are inconsistent by % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2983), (3053) are inconsistent by sub-proof #75. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3054) implies: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_26_12 = e20 | all_26_13 = e20 | all_26_14 = % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3055) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_26_12 = e20 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2831), (3056) are inconsistent by sub-proof % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #5. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_26_13 = e20 | all_26_14 = e20 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3057) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) all_26_13 = e20 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (806), (3058) are inconsistent by sub-proof % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #4. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_26_14 = e20 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (770), (3059) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_14_11 = e20 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3060) implies: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) all_14_11 = e20 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (3061) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) ~ (all_10_1 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3062) implies: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) ~ (all_10_1 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2830), (3061) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) ~ (e23 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_26_4 = e21 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (3065) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) e22 = e21 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (3066) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) $false % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3067) is inconsistent. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3068) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_26_5 = e21 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (3069) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_14_9 = e21 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (3070) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) all_22_19 = e21 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3072) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_11 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2835), (2969), (2973), (2974), (3073) are % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) all_22_9 = e23 & ~ (all_22_1 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3075) implies: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_22_9 = e23 % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (571), (3076) are inconsistent by sub-proof % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3077) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3078) implies: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) ~ (all_22_19 = e21) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3071), (3079) imply: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) $false % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3080) is inconsistent. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20) & ~ (all_22_31 = e22) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (806), (3081) are inconsistent by sub-proof % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16. % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3082) gives: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3083) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (567), (3084) are inconsistent by sub-proof % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21)) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3085) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3086) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_22_19 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3071), (3087) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) e22 = e21 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (3088) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3089) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20) & ~ (all_22_31 = e21) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3090) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) ~ (all_22_31 = e21) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) ~ (all_22_13 = e22) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (3092) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) ~ (all_14_6 = e22) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (3091) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) ~ (all_10_1 = e21) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_26_1 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (777), (3095) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) e22 = e20 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3096) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) e22 = e20 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (3097) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3098) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3099) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_26_3 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2966), (3100) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) e23 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3101) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3102) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_26_7 = e22 | all_26_13 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3103) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_26_7 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (3104) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_14_6 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3093), (3105) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3106) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_26_13 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (3107) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_14_7 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3108) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_14_7 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (3109) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) ~ (all_10_1 = e22) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3110) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) ~ (all_10_1 = e22) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_18_15 = e22 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (524), (3111), (3112) are inconsistent by % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_18_15 = e21 | all_18_15 = e20 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (524), (3063), (3094), (3113) are inconsistent by % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3114) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3115) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) ~ (all_22_7 = e23) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2835), (3116) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3117) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3118) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_22_27 = e22 & ~ (all_22_7 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3119) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) ~ (all_22_7 = e23) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2835), (3120) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3121) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_22_29 = e21 & ~ (all_22_7 = e23) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_21 = e20) & ~ % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3122) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) ~ (all_22_7 = e23) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2835), (3123) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3124) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_26_8 = e21 | all_26_14 = e21 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3125) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_26_8 = e21 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2954), (3126) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) e23 = e21 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3127) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3128) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) all_26_14 = e21 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3059), (3129) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) e21 = e20 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (3130) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3131) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) ~ (all_26_3 = e23) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3132) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) ~ (all_6_1 = e23) % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2963) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_26_3 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (3133), (3134) are inconsistent by % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) all_26_7 = e23 | all_26_13 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (771), (2571), (2957), (3135) are % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_26_14 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (2830), (3136) are inconsistent by % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | (3137) all_26_13 = e23 | all_26_14 = e23 | all_26_15 = % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3137) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | (3138) all_26_13 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (2571), (3138) are inconsistent by % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | sub-proof #11. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | (3139) all_26_14 = e23 | all_26_15 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | (3140) all_26_14 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (770), (2830), (3140) are inconsistent by % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | (3141) all_26_15 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (3141) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | (3142) all_10_1 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3142) implies: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | (3143) all_10_1 = e23 % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (974), (3143) imply: % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | (3144) $false % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3144) is inconsistent. % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | | % 63.34/10.01 | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.01 | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | End of split % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | End of split % 63.34/10.02 | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | End of split % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | End of split % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | (3145) all_24_14 = e13 | all_24_15 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | REF_CLOSE: (458), (621), (950), (1581), (3145) are % 63.34/10.02 | | | | | | | | | | | | | | | inconsistent by sub-proof #93. % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | End of split % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | End of split % 63.34/10.02 | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | (3146) ~ (all_16_8 = e13) % 63.34/10.02 | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | REDUCE: (722), (3146) imply: % 63.34/10.02 | | | | | | | | | | | | | (3147) ~ (all_12_2 = e13) % 63.34/10.02 | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | BETA: splitting (337) gives: % 63.34/10.02 | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | (3148) all_24_6 = e13 % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | COMBINE_EQS: (609), (3148) imply: % 63.34/10.02 | | | | | | | | | | | | | | (3149) all_12_2 = e13 % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | SIMP: (3149) implies: % 63.34/10.02 | | | | | | | | | | | | | | (3150) all_12_2 = e13 % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | REDUCE: (3147), (3150) imply: % 63.34/10.02 | | | | | | | | | | | | | | (3151) $false % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | CLOSE: (3151) is inconsistent. % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | (3152) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13 % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | BETA: splitting (3152) gives: % 63.34/10.02 | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | (3153) all_24_7 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | COMBINE_EQS: (610), (3153) imply: % 63.34/10.02 | | | | | | | | | | | | | | | (3154) all_12_6 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | SIMP: (3154) implies: % 63.34/10.02 | | | | | | | | | | | | | | | (3155) all_12_6 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | COMBINE_EQS: (671), (3155) imply: % 63.34/10.02 | | | | | | | | | | | | | | | (3156) all_20_13 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | REDUCE: (74), (3155) imply: % 63.34/10.02 | | | | | | | | | | | | | | | (3157) ~ (all_12_7 = e13) % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | SIMP: (3157) implies: % 63.34/10.02 | | | | | | | | | | | | | | | (3158) ~ (all_12_7 = e13) % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | REDUCE: (930), (3155) imply: % 63.34/10.02 | | | | | | | | | | | | | | | (3159) op1(e13, e11) = all_20_12 % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | REDUCE: (108), (3155) imply: % 63.34/10.02 | | | | | | | | | | | | | | | (3160) op1(e11, e12) = e13 % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | BETA: splitting (332) gives: % 63.34/10.02 | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | (3161) all_24_12 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (3161) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | (3162) all_12_3 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | SIMP: (3162) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | (3163) all_12_3 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (977), (3163) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | (3164) all_20_8 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (3163) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | (3165) all_20_7 = e13 % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | REDUCE: (841), (3163) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | (3166) ~ (e13 = e11) % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | BETA: splitting (1341) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | (3167) all_24_12 = e10 % 63.34/10.02 | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | REF_CLOSE: (952), (3161), (3167) are inconsistent by % 63.34/10.02 | | | | | | | | | | | | | | | | | sub-proof #104. % 63.34/10.02 | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | (3168) all_24_13 = e10 | all_24_14 = e10 % 63.34/10.02 | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | (3169) all_24_13 = e10 % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (852), (3169) are inconsistent by sub-proof % 63.34/10.02 | | | | | | | | | | | | | | | | | | #103. % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | (3170) all_24_14 = e10 % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (3170) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | (3171) all_12_11 = e10 % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | SIMP: (3171) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | (3172) all_12_11 = e10 % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | REDUCE: (62), (3172) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | (3173) ~ (all_12_10 = e10) % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | REDUCE: (1581), (3172) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | (3174) ~ (e13 = e10) % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | (3175) all_24_4 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (844), (3175) are inconsistent by sub-proof % 63.34/10.02 | | | | | | | | | | | | | | | | | | | #102. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | (3176) all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (3176) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | (3177) all_24_5 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1586), (3177) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | (3178) e13 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | SIMP: (3178) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | (3179) e13 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (3166), (3179) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | (3180) $false % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | CLOSE: (3180) is inconsistent. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | (3181) all_24_8 = e11 | all_24_14 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3181) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | (3182) all_24_8 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (766), (3182) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | (3183) all_12_10 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | SIMP: (3183) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | (3184) all_12_10 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3184) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | (3185) all_20_21 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3184) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | (3186) ~ (all_12_14 = e11) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | SIMP: (3186) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | (3187) ~ (all_12_14 = e11) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1589), (3184) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | (3188) ~ (e13 = e11) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (3189) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3189) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (3190) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3190) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3191) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_20_3 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3193) ~ (all_20_11 = e13) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3194) ~ (all_20_9 = e12) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (3192) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3195) all_12_1 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3195) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_12_1 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3196) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3197) ~ (all_12_5 = e12) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3197) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3198) ~ (all_12_5 = e12) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3196) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3199) ~ (all_12_13 = e12) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3199) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3200) ~ (all_12_13 = e12) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1587), (3196) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | (3201) ~ (e13 = e12) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_24_1 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (768), (854), (3202) are inconsistent by sub-proof % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | #98. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3203) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_24_3 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3204) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_12_5 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3205) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_12_5 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3198), (3206) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) $false % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3207) is inconsistent. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_24_7 = e12 | all_24_13 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3208) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_24_7 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3153), (3209) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) e13 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3210) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) e13 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (3211) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) $false % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3212) is inconsistent. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) all_24_13 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3213) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_12_7 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3214) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) all_12_7 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (682), (3215) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_20_15 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (931), (3215) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) op1(e12, e10) = all_20_14 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_24_1 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (768), (842), (3218) are inconsistent by sub-proof % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #99. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3219) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_24_3 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3220) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_12_5 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3221) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_12_5 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3222) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_20_11 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3222) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) ~ (all_12_13 = e11) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3224) implies: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) ~ (all_12_13 = e11) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (3222) imply: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) op1(e11, e12) = all_20_10 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1045) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_16_7 = e12 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (740), (3200), (3227) are inconsistent by % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) ~ (all_16_7 = e12) % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_16_7 = e11 | all_16_7 = e10 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3229) gives: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) all_16_7 = e11 % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (740), (3225), (3230) are inconsistent by % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_16_7 = e10 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (740), (3231) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_12_13 = e10 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3232) implies: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) all_12_13 = e10 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3233) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) op1(e12, e10) = e10 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e13, all_20_10, e12, e11, % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3160), (3226) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_20_10 = e13 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e10, all_20_14, e10, e12, % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3217), (3234) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_20_14 = e10 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e12, all_20_12, e11, e13, % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (3159) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_20_12 = e12 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_20_8 = all_20_9 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3164), (3238) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) all_20_9 = e13 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (952), (3239) are inconsistent by sub-proof % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_20_10 = all_20_11 | all_20_12 = all_20_13 | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_14 = all_20_15 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3240) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_20_10 = all_20_11 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3235), (3241) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_20_11 = e13 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3223), (3242) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) e13 = e11 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3243) implies: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) e13 = e11 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3166), (3244) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) $false % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3245) is inconsistent. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_20_12 = all_20_13 | all_20_14 = all_20_15 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3246) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_20_12 = all_20_13 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3237), (3247) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_20_13 = e12 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3156), (3248) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) e13 = e12 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (3249) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) $false % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3250) is inconsistent. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_20_14 = all_20_15 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3236), (3251) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_20_15 = e10 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3216), (3252) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) e12 = e10 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (3253) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) $false % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3254) is inconsistent. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) ~ (all_24_3 = e11) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (3255) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) ~ (all_12_5 = e11) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (848), (1520), (3198), (3256) are % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #123. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3257) (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (669), (839), (952), (3165), (3257) are % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (3258) (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3258) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3259) all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (952), (3259) are inconsistent by sub-proof % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | #129. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3260) (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3260) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3261) implies: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_20_13 = e11 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3156), (3166), (3262) are inconsistent by % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (682), (852), (3263) are inconsistent by sub-proof % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | #100. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (3264) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3264) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (3265) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3265) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (761), (951), (3266) are inconsistent by sub-proof % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | #128. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3267) (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3267) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3268) implies: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_20_19 = e12 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1585), (3269) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3270) e13 = e12 % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (3270) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3271) $false % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3271) is inconsistent. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3272) implies: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3273) ~ (all_20_21 = e11) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3185), (3273) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3274) $false % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3274) is inconsistent. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (3275) (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3275) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3276) implies: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3277) ~ (all_20_7 = e13) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3165), (3277) imply: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3278) $false % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3278) is inconsistent. % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (3279) (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3279) gives: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3280) implies: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3281) ~ (all_20_7 = e13) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3165), (3281) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3282) $false % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3282) is inconsistent. % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3283) all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3283) implies: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_20_29 = e11 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (3284) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_12_14 = e11 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3187), (3285) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3286) $false % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3286) is inconsistent. % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3287) all_24_14 = e11 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3170), (3287) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3288) e11 = e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (3288) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3289) $false % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3289) is inconsistent. % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | (3290) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = % 63.34/10.04 | | | | | | | | | | | | | | | | e13 % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | REF_CLOSE: (458), (466), (621), (950), (1581), (3158), (3290) % 63.34/10.04 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #92. % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | (3291) all_24_8 = e13 | all_24_11 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | REF_CLOSE: (614), (766), (948), (1589), (3291) are % 63.34/10.04 | | | | | | | | | | | | | | | inconsistent by sub-proof #85. % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | End of split % 63.34/10.04 | | | | | | | | | | % 63.34/10.04 | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | (3292) ~ (all_16_6 = e13) % 63.34/10.04 | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | REDUCE: (734), (3292) imply: % 63.34/10.04 | | | | | | | | | | (3293) ~ (all_12_9 = e13) % 63.34/10.04 | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | BETA: splitting (339) gives: % 63.34/10.04 | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | (3294) all_24_4 = e13 % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | COMBINE_EQS: (597), (3294) imply: % 63.34/10.04 | | | | | | | | | | | (3295) e13 = e12 % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | REDUCE: (951), (3295) imply: % 63.34/10.04 | | | | | | | | | | | (3296) $false % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | CLOSE: (3296) is inconsistent. % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | (3297) all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13 % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | BETA: splitting (343) gives: % 63.34/10.04 | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | (3298) all_24_2 = e13 % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | COMBINE_EQS: (767), (3298) imply: % 63.34/10.04 | | | | | | | | | | | | (3299) all_12_1 = e13 % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | SIMP: (3299) implies: % 63.34/10.04 | | | | | | | | | | | | (3300) all_12_1 = e13 % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | COMBINE_EQS: (979), (3300) imply: % 63.34/10.04 | | | | | | | | | | | | (3301) all_20_16 = e13 % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | COMBINE_EQS: (501), (3300) imply: % 63.34/10.04 | | | | | | | | | | | | (3302) all_20_3 = e13 % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | REDUCE: (94), (3300) imply: % 63.34/10.04 | | | | | | | | | | | | (3303) ~ (all_12_3 = e13) % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | SIMP: (3303) implies: % 63.34/10.04 | | | | | | | | | | | | (3304) ~ (all_12_3 = e13) % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | REDUCE: (92), (3300) imply: % 63.34/10.04 | | | | | | | | | | | | (3305) ~ (all_12_9 = e13) % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | REDUCE: (837), (3300) imply: % 63.34/10.04 | | | | | | | | | | | | (3306) ~ (e13 = e11) % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | BETA: splitting (3297) gives: % 63.34/10.04 | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | (3307) all_24_5 = e13 % 63.34/10.04 | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | REF_CLOSE: (605), (3293), (3307) are inconsistent by % 63.34/10.04 | | | | | | | | | | | | | sub-proof #84. % 63.34/10.04 | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | (3308) all_24_8 = e13 | all_24_14 = e13 % 63.34/10.04 | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | BETA: splitting (3308) gives: % 63.34/10.04 | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | (3309) all_24_8 = e13 % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | COMBINE_EQS: (766), (3309) imply: % 63.34/10.04 | | | | | | | | | | | | | | (3310) all_12_10 = e13 % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | SIMP: (3310) implies: % 63.34/10.04 | | | | | | | | | | | | | | (3311) all_12_10 = e13 % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | COMBINE_EQS: (477), (3311) imply: % 63.34/10.04 | | | | | | | | | | | | | | (3312) all_20_21 = e13 % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | REDUCE: (88), (3311) imply: % 63.34/10.04 | | | | | | | | | | | | | | (3313) ~ (all_12_2 = e13) % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | REDUCE: (62), (3311) imply: % 63.34/10.04 | | | | | | | | | | | | | | (3314) ~ (all_12_11 = e13) % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | REDUCE: (934), (3311) imply: % 63.34/10.04 | | | | | | | | | | | | | | (3315) op1(e13, e11) = all_20_20 % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | BETA: splitting (332) gives: % 63.34/10.04 | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | (3316) all_24_12 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | REF_CLOSE: (617), (3304), (3316) are inconsistent by % 63.34/10.04 | | | | | | | | | | | | | | | sub-proof #91. % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | (3317) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = % 63.34/10.04 | | | | | | | | | | | | | | | e13 % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | BETA: splitting (3317) gives: % 63.34/10.04 | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | (3318) all_24_13 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3318) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | (3319) all_12_7 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | SIMP: (3319) implies: % 63.34/10.04 | | | | | | | | | | | | | | | | (3320) all_12_7 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (682), (3320) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | (3321) all_20_15 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | REDUCE: (74), (3320) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | (3322) ~ (all_12_6 = e13) % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | REDUCE: (104), (3320) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | (3323) op1(e10, e12) = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e12, all_20_20, e11, e13, % 63.34/10.04 | | | | | | | | | | | | | | | | simplifying with (12), (3315) gives: % 63.34/10.04 | | | | | | | | | | | | | | | | (3324) all_20_20 = e12 % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | BETA: splitting (204) gives: % 63.34/10.04 | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | (3325) all_16_9 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (729), (3322), (3325) are inconsistent by % 63.34/10.04 | | | | | | | | | | | | | | | | | sub-proof #111. % 63.34/10.04 | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | (3326) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | BETA: splitting (205) gives: % 63.34/10.04 | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | (3327) all_16_8 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (722), (3327) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | (3328) all_12_2 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | REDUCE: (3313), (3328) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | (3329) $false % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | CLOSE: (3329) is inconsistent. % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | (3330) ~ (all_16_8 = e13) % 63.34/10.04 | | | | | | | | | | | | | | | | | | (3331) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives: % 63.34/10.04 | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | (3332) all_16_12 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (3304), (3332) are inconsistent by % 63.34/10.04 | | | | | | | | | | | | | | | | | | | sub-proof #133. % 63.34/10.04 | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | (3333) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 63.34/10.04 | | | | | | | | | | | | | | | | | | | e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | (3334) all_16_11 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (3334) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | (3335) all_12_14 = e13 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (3335) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | (3336) $false % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | CLOSE: (3336) is inconsistent. % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | Case 2: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | (3337) ~ (all_16_11 = e13) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | (3338) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3339) all_24_6 = e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (3339) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3340) all_12_2 = e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (3340) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3341) all_20_5 = e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (3340) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3342) ~ (all_12_3 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | SIMP: (3342) implies: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3343) ~ (all_12_3 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (3340) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3344) ~ (all_12_14 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | SIMP: (3344) implies: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3345) ~ (all_12_14 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3313), (3340) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3346) ~ (e13 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (3340) imply: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | (3347) ~ (e11 = e10) % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1341) gives: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | Case 1: % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | (3348) all_24_12 = e10 % 63.34/10.04 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (3343), (3348) are inconsistent by % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | sub-proof #52. % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | (3349) ~ (all_24_12 = e10) % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | (3350) all_24_13 = e10 | all_24_14 = e10 % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (3351) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3351) gives: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (3352) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_20_3 = e12 & ~ (all_20_1 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_11 = e13) & ~ % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10) % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3353) implies: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_20_3 = e12 % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (951), (3302), (3354) are inconsistent by % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89. % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3355) (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13)) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3355) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) all_20_5 = e11 & ~ (all_20_1 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_25 = e10) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3356) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_20_5 = e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3341), (3357) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) e11 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (3358) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) $false % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3359) is inconsistent. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_20_7 = e10 & ~ (all_20_1 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10) & ~ (all_20_31 = e13) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3360) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_20_7 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (3361) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_12_3 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3362) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_12_3 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3343), (3363) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) $false % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3364) is inconsistent. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (3365) (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_20_9 = e13 & ~ (all_20_1 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e11) & ~ (all_20_27 = e10) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (952), (3366) are inconsistent by sub-proof % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | #129. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3367) (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12)) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3367) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_20_13 = e11 & ~ (all_20_3 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e12) & ~ (all_20_27 = e10) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3368) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) ~ (all_20_3 = e13) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3302), (3369) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) $false % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3370) is inconsistent. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10) & ~ (all_20_31 = e12) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3371) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_20_15 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3321), (3372) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) e13 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3373) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) e13 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (3374) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) $false % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3375) is inconsistent. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (3376) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3376) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (3377) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3377) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_20_17 = e13 & ~ (all_20_1 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (761), (951), (3378) are inconsistent by sub-proof % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | #128. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3379) (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11)) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3379) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_20_19 = e12 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_13 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (667), (858), (3380) are inconsistent by sub-proof % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #127. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10) & ~ (all_20_31 = e11) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3381) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_20_23 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) ~ (all_20_31 = e11) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) ~ (all_20_21 = e11) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3382) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_12_11 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3385) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_12_11 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (3386) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_24_14 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3383) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) ~ (all_12_15 = e11) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3333) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_16_12 = e12 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (724), (3389) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) all_12_3 = e12 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (3390) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) all_24_12 = e12 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) all_24_12 = e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (844), (3391), (3392) are inconsistent by % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) all_24_13 = e11 | all_24_14 = e11 | all_24_15 = % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3393) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) all_24_13 = e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3318), (3394) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) e13 = e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3306), (3395) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) $false % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3396) is inconsistent. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_24_14 = e11 | all_24_15 = e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3397) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_24_14 = e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3387), (3398) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) e11 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (3399) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) $false % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3400) is inconsistent. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_24_15 = e11 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (3388), (3401) are inconsistent by % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_16_12 = e11 | all_16_12 = e10 % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (841), (3343), (3402) are inconsistent by % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119. % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (3403) (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3403) gives: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_20_25 = e13 & ~ (all_20_1 = e10) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3404) implies: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3405) ~ (all_20_23 = e11) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3405) imply: % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3406) ~ (all_12_11 = e11) % 64.24/10.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (54), (55), (56), (85), (106), (111), (274), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (330), (338), (458), (597), (605), (607), (614), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (617), (621), (677), (679), (686), (724), (742), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (841), (844), (858), (937), (938), (939), (943), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (944), (946), (950), (952), (980), (1342), (1581), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3293), (3306), (3309), (3318), (3323), (3333), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3338), (3345), (3350), (3406) are inconsistent by % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3407) (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3407) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_20_27 = e12 & ~ (all_20_7 = e13) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_15 = e12) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3408) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_20_27 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) ~ (all_20_23 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) ~ (all_20_11 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (3409) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_12_13 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3412) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_12_13 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (3413) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_24_10 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3410) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) ~ (all_12_11 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3413) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) ~ (all_12_5 = e12) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) all_24_2 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3298), (3417) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) e13 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (3418) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3419) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_16_5 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (3416), (3421) are inconsistent by % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #115. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) all_16_5 = e11 | all_16_5 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3422) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_16_5 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (3423) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) all_12_5 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3424) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_12_5 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3425) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_24_3 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3420) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_24_3 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3426), (3427) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) e11 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (3428) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3429) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_24_5 = e10 | all_24_10 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3430) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_24_5 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (3431) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) all_12_9 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (3432) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) ~ (all_12_11 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3433) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) ~ (all_12_11 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) all_16_14 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (3435) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) all_12_11 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (3436) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3437) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_16_14 = e11 | all_16_14 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3438) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) all_16_14 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (3439) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) all_12_11 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3415), (3440) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3441) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_16_14 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (3442) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_12_11 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3434), (3443) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3444) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) all_24_10 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3414), (3445) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) e12 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3446) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) e12 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (3447) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3448) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) all_16_5 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (848), (3449) are inconsistent by sub-proof % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_20_29 = e11 & ~ (all_20_7 = e13) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_21 = e10) & ~ % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_23 = e11) & ~ (all_20_31 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3450) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_20_29 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) ~ (all_20_23 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) ~ (all_20_21 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (3451) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_12_14 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3454) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) all_12_14 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3452) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) ~ (all_12_11 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (3455) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) ~ (e13 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (54), (55), (56), (85), (106), (111), (274), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (330), (338), (458), (597), (605), (607), (614), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (617), (621), (677), (679), (686), (724), (742), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (841), (844), (858), (937), (938), (939), (943), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (944), (946), (950), (952), (980), (1342), (1581), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3293), (3306), (3309), (3318), (3323), (3333), % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3338), (3345), (3350), (3456) are inconsistent by % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | (3458) ~ (all_24_6 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (3458) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | (3459) ~ (all_12_2 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3331) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | (3460) all_16_8 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (722), (3460) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | (3461) all_12_2 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (3461) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | (3462) all_24_6 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3461) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | (3463) ~ (all_12_6 = e12) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3463) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | (3464) ~ (all_12_6 = e12) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (3461) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | (3465) ~ (all_12_14 = e12) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3465) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | (3466) ~ (all_12_14 = e12) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3326) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | (3467) all_16_9 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (729), (3464), (3467) are inconsistent by % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #109. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | (3468) all_16_9 = e11 | all_16_9 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3468) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_16_9 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (729), (3469) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_12_6 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3470) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_12_6 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (3471) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_24_7 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3471) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | (3473) ~ (all_12_5 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3471) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | (3474) ~ (all_12_14 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3474) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | (3475) ~ (all_12_14 = e11) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3338) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_16_11 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (3476) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_12_14 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3466), (3477) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3478) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3478) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3479) ~ (all_16_11 = e12) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_16_11 = e11 | all_16_11 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3480) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) all_16_11 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (3481) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_12_14 = e11 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3475), (3482) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3483) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_16_11 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (3484) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_12_14 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3485) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) ~ (all_12_13 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (3485) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) ~ (e13 = e10) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (3485) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) op1(e11, e10) = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_24_2 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3298), (3489) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) e13 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (3490) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) $false % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3491) is inconsistent. % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_16_5 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (3493) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_12_5 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3494) implies: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_12_5 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3495) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) all_24_3 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1521), (3495) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) ~ (e13 = e12) % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_16_14 = e12 % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (3498) imply: % 64.24/10.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_12_11 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (3499) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3500) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) all_16_14 = e11 | all_16_14 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3492) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_24_3 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3496), (3502) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) e12 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3462), (3503) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_24_6 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3462), (3504) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) e12 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (3503) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3506) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) all_24_7 = e12 | all_24_8 = e12 | all_24_11 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) all_24_7 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3472), (3508) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) e12 = e11 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3509) implies: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) e12 = e11 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (3510) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3511) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) all_24_8 = e12 | all_24_11 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_24_8 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3309), (3513) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) e13 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (3514) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3515) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) all_24_11 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (614), (3466), (3516) are inconsistent by % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) all_24_5 = e10 | all_24_10 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3517) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_24_5 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (3518) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_12_9 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (667), (3519) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_20_19 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (3519) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) ~ (all_12_11 = e10) % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3521) implies: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) ~ (all_12_11 = e10) % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (933), (3519) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) op1(e10, e12) = all_20_18 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3501) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) all_16_14 = e11 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (3524) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) all_12_11 = e11 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3525) implies: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) all_12_11 = e11 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3526) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) all_20_23 = e11 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (935), (3526) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) op1(e11, e10) = all_20_22 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e13, all_20_18, e12, e10, % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3323), (3523) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) all_20_18 = e13 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e10, all_20_22, e10, e11, % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3488), (3528) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_20_22 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) all_20_16 = all_20_17 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3301), (3531) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) all_20_17 = e13 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (761), (951), (3532) are inconsistent by sub-proof % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #122. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) ~ (all_20_16 = all_20_17) % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_20_18 = all_20_19 | all_20_20 = all_20_21 | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_22 = all_20_23 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_20_18 = all_20_19 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3529), (3535) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_20_19 = e13 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3520), (3536) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) e13 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3537) implies: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) e13 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (3538) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3539) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_20_20 = all_20_21 | all_20_22 = all_20_23 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3540) gives: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_20_20 = all_20_21 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3324), (3541) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) all_20_21 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3312), (3542) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) e13 = e12 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (3543) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3544) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_20_22 = all_20_23 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3530), (3545) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_20_23 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3527), (3546) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) e11 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (3547) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3548) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_16_14 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (737), (3549) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) all_12_11 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3550) implies: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) all_12_11 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3522), (3551) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3552) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_24_10 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (3486), (3553) are inconsistent by % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) all_16_5 = e11 | all_16_5 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (848), (3473), (3554) are inconsistent by % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #124. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_16_9 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (729), (3555) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_12_6 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3556) implies: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_12_6 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (850), (3557) imply: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | (3558) $false % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3558) is inconsistent. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | Case 2: % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | (3559) all_16_8 = e11 | all_16_8 = e10 % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (839), (3459), (3559) are inconsistent by % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | sub-proof #114. % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | | % 64.24/10.07 | | | | | | | | | | | | | | | | | | | End of split % 64.24/10.07 | | | | | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | | Case 2: % 64.36/10.07 | | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | | | (3560) all_24_14 = e13 | all_24_15 = e13 % 64.36/10.07 | | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | | | REF_CLOSE: (458), (621), (950), (1581), (3560) are % 64.36/10.07 | | | | | | | | | | | | | | | | inconsistent by sub-proof #93. % 64.36/10.07 | | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | Case 2: % 64.36/10.07 | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | (3561) all_24_14 = e13 % 64.36/10.07 | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | COMBINE_EQS: (621), (3561) imply: % 64.36/10.07 | | | | | | | | | | | | | | (3562) all_12_11 = e13 % 64.36/10.07 | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | REDUCE: (1581), (3562) imply: % 64.36/10.07 | | | | | | | | | | | | | | (3563) $false % 64.36/10.07 | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | | CLOSE: (3563) is inconsistent. % 64.36/10.07 | | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | Case 2: % 64.36/10.07 | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | (3564) all_24_3 = e13 | all_24_5 = e13 | all_24_10 = e13 % 64.36/10.07 | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | | REF_CLOSE: (498), (605), (607), (946), (1521), (3293), (3564) % 64.36/10.07 | | | | | | | | | | | | are inconsistent by sub-proof #83. % 64.36/10.07 | | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | | % 64.36/10.07 | | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | | % 64.36/10.07 | | | | | | | | | End of split % 64.36/10.07 | | | | | | | | | % 64.36/10.07 | | | | | | | | End of split % 64.36/10.07 | | | | | | | | % 64.36/10.07 | | | | | | | End of split % 64.36/10.07 | | | | | | | % 64.36/10.07 | | | | | | End of split % 64.36/10.07 | | | | | | % 64.36/10.07 | | | | | End of split % 64.36/10.07 | | | | | % 64.36/10.07 | | | | End of split % 64.36/10.07 | | | | % 64.36/10.07 | | | End of split % 64.36/10.07 | | | % 64.36/10.07 | | End of split % 64.36/10.07 | | % 64.36/10.07 | Case 2: % 64.36/10.07 | | % 64.36/10.07 | | (3565) all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10 % 64.36/10.07 | | % 64.36/10.07 | | BETA: splitting (3565) gives: % 64.36/10.07 | | % 64.36/10.07 | | Case 1: % 64.36/10.07 | | | % 64.36/10.07 | | | (3566) all_16_3 = e12 % 64.36/10.07 | | | % 64.36/10.07 | | | COMBINE_EQS: (738), (3566) imply: % 64.36/10.07 | | | (3567) all_12_12 = e12 % 64.36/10.07 | | | % 64.36/10.07 | | | SIMP: (3567) implies: % 64.36/10.08 | | | (3568) all_12_12 = e12 % 64.36/10.08 | | | % 64.36/10.08 | | | REDUCE: (864), (3568) imply: % 64.36/10.08 | | | (3569) $false % 64.36/10.08 | | | % 64.36/10.08 | | | CLOSE: (3569) is inconsistent. % 64.36/10.08 | | | % 64.36/10.08 | | Case 2: % 64.36/10.08 | | | % 64.36/10.08 | | | (3570) all_16_3 = e11 | all_16_3 = e10 % 64.36/10.08 | | | % 64.36/10.08 | | | BETA: splitting (3570) gives: % 64.36/10.08 | | | % 64.36/10.08 | | | Case 1: % 64.36/10.08 | | | | % 64.36/10.08 | | | | (3571) all_16_3 = e11 % 64.36/10.08 | | | | % 64.36/10.08 | | | | COMBINE_EQS: (738), (3571) imply: % 64.36/10.08 | | | | (3572) all_12_12 = e11 % 64.36/10.08 | | | | % 64.36/10.08 | | | | SIMP: (3572) implies: % 64.36/10.08 | | | | (3573) all_12_12 = e11 % 64.36/10.08 | | | | % 64.36/10.08 | | | | REDUCE: (846), (3573) imply: % 64.36/10.08 | | | | (3574) $false % 64.36/10.08 | | | | % 64.36/10.08 | | | | CLOSE: (3574) is inconsistent. % 64.36/10.08 | | | | % 64.36/10.08 | | | Case 2: % 64.36/10.08 | | | | % 64.36/10.08 | | | | (3575) all_16_3 = e10 % 64.36/10.08 | | | | % 64.36/10.08 | | | | COMBINE_EQS: (738), (3575) imply: % 64.36/10.08 | | | | (3576) all_12_12 = e10 % 64.36/10.08 | | | | % 64.36/10.08 | | | | SIMP: (3576) implies: % 64.36/10.08 | | | | (3577) all_12_12 = e10 % 64.36/10.08 | | | | % 64.36/10.08 | | | | REDUCE: (856), (3577) imply: % 64.36/10.08 | | | | (3578) $false % 64.36/10.08 | | | | % 64.36/10.08 | | | | CLOSE: (3578) is inconsistent. % 64.36/10.08 | | | | % 64.36/10.08 | | | End of split % 64.36/10.08 | | | % 64.36/10.08 | | End of split % 64.36/10.08 | | % 64.36/10.08 | End of split % 64.36/10.08 | % 64.36/10.08 End of proof % 64.36/10.08 % 64.36/10.08 Sub-proof #1 shows that the following formulas are inconsistent: % 64.36/10.08 ---------------------------------------------------------------- % 64.36/10.08 (1) ~ (all_12_3 = all_12_11) % 64.36/10.08 (2) all_20_25 = e13 % 64.36/10.08 (3) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10 % 64.36/10.08 (4) all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11 % 64.36/10.08 (5) all_20_29 = all_12_14 % 64.36/10.08 (6) op1(all_12_14, e11) = all_20_28 % 64.36/10.08 (7) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 64.36/10.08 (8) ~ (all_12_11 = e11) % 64.36/10.08 (9) op1(all_12_13, e12) = all_20_26 % 64.36/10.08 (10) all_24_4 = e12 % 64.36/10.08 (11) ~ (all_12_3 = e11) % 64.36/10.08 (12) all_20_27 = all_12_13 % 64.36/10.08 (13) all_24_9 = e13 % 64.36/10.08 (14) op1(e10, e12) = e13 % 64.36/10.08 (15) all_20_24 = e11 % 64.36/10.08 (16) all_24_13 = e10 | all_24_14 = e10 % 64.36/10.08 (17) all_24_12 = e11 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11 % 64.36/10.08 (18) ~ (all_12_14 = all_12_15) % 64.36/10.08 (19) ~ (e13 = e11) % 64.36/10.08 (20) ~ (e12 = e11) % 64.36/10.08 (21) ~ (e13 = e10) % 64.36/10.08 (22) ~ (all_12_14 = e10) % 64.36/10.08 (23) ~ (all_12_15 = e13) % 64.36/10.08 (24) all_24_15 = all_12_15 % 64.36/10.08 (25) ~ (all_12_11 = e13) % 64.36/10.08 (26) ~ (all_12_9 = e12) % 64.36/10.08 (27) all_24_12 = all_12_3 % 64.36/10.08 (28) all_24_8 = e13 % 64.36/10.08 (29) op1(e11, e10) = all_12_14 % 64.36/10.08 (30) op1(all_12_15, e10) = all_20_30 % 64.36/10.08 (31) all_24_11 = all_12_14 % 64.36/10.08 (32) op1(e12, e11) = all_12_9 % 64.36/10.08 (33) ~ (all_12_13 = all_12_14) % 64.36/10.08 (34) all_24_5 = all_12_9 % 64.36/10.08 (35) ~ (all_12_13 = e13) % 64.36/10.08 (36) all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10 % 64.36/10.08 (37) ~ (all_12_13 = all_12_15) % 64.36/10.08 (38) all_20_31 = all_12_15 % 64.36/10.08 (39) ~ (all_12_9 = e13) % 64.36/10.08 (40) all_20_24 = all_20_25 | all_20_26 = all_20_27 | all_20_28 = all_20_29 | % 64.36/10.08 all_20_30 = all_20_31 % 64.36/10.08 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 64.36/10.08 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 64.36/10.08 (42) all_24_14 = all_12_11 % 64.36/10.08 (43) all_16_11 = all_12_14 % 64.36/10.08 (44) all_24_13 = e13 % 64.36/10.08 (45) all_24_10 = all_12_13 % 64.36/10.08 (46) all_16_12 = all_12_3 % 64.36/10.08 % 64.36/10.08 Begin of proof % 64.36/10.08 | % 64.36/10.08 | BETA: splitting (16) gives: % 64.36/10.08 | % 64.36/10.08 | Case 1: % 64.36/10.08 | | % 64.36/10.08 | | (47) all_24_13 = e10 % 64.36/10.08 | | % 64.36/10.08 | | REF_CLOSE: (21), (44), (47) are inconsistent by sub-proof #49. % 64.36/10.08 | | % 64.36/10.08 | Case 2: % 64.36/10.08 | | % 64.36/10.08 | | (48) all_24_14 = e10 % 64.36/10.08 | | % 64.36/10.08 | | COMBINE_EQS: (42), (48) imply: % 64.36/10.08 | | (49) all_12_11 = e10 % 64.36/10.08 | | % 64.36/10.08 | | SIMP: (49) implies: % 64.36/10.08 | | (50) all_12_11 = e10 % 64.36/10.08 | | % 64.36/10.08 | | REDUCE: (1), (50) imply: % 64.36/10.08 | | (51) ~ (all_12_3 = e10) % 64.36/10.08 | | % 64.36/10.08 | | REDUCE: (25), (50) imply: % 64.36/10.08 | | (52) ~ (e13 = e10) % 64.36/10.08 | | % 64.36/10.08 | | REDUCE: (8), (50) imply: % 64.36/10.08 | | (53) ~ (e11 = e10) % 64.36/10.08 | | % 64.36/10.08 | | SIMP: (53) implies: % 64.36/10.08 | | (54) ~ (e11 = e10) % 64.36/10.08 | | % 64.36/10.08 | | BETA: splitting (4) gives: % 64.36/10.08 | | % 64.36/10.08 | | Case 1: % 64.36/10.08 | | | % 64.36/10.08 | | | (55) all_24_4 = e11 % 64.36/10.08 | | | % 64.36/10.08 | | | COMBINE_EQS: (10), (55) imply: % 64.36/10.08 | | | (56) e12 = e11 % 64.36/10.08 | | | % 64.36/10.08 | | | REDUCE: (20), (56) imply: % 64.36/10.08 | | | (57) $false % 64.36/10.08 | | | % 64.36/10.08 | | | CLOSE: (57) is inconsistent. % 64.36/10.08 | | | % 64.36/10.08 | | Case 2: % 64.36/10.08 | | | % 64.36/10.08 | | | (58) all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11 % 64.36/10.08 | | | % 64.36/10.08 | | | BETA: splitting (7) gives: % 64.36/10.08 | | | % 64.36/10.08 | | | Case 1: % 64.36/10.08 | | | | % 64.36/10.08 | | | | (59) all_16_12 = e12 % 64.36/10.08 | | | | % 64.36/10.08 | | | | COMBINE_EQS: (46), (59) imply: % 64.36/10.08 | | | | (60) all_12_3 = e12 % 64.36/10.08 | | | | % 64.36/10.08 | | | | SIMP: (60) implies: % 64.36/10.08 | | | | (61) all_12_3 = e12 % 64.36/10.08 | | | | % 64.36/10.08 | | | | COMBINE_EQS: (27), (61) imply: % 64.36/10.08 | | | | (62) all_24_12 = e12 % 64.36/10.08 | | | | % 64.36/10.08 | | | | BETA: splitting (36) gives: % 64.36/10.08 | | | | % 64.36/10.08 | | | | Case 1: % 64.36/10.08 | | | | | % 64.36/10.08 | | | | | (63) all_24_9 = e10 % 64.36/10.08 | | | | | % 64.36/10.08 | | | | | REF_CLOSE: (13), (21), (63) are inconsistent by sub-proof #51. % 64.36/10.08 | | | | | % 64.36/10.08 | | | | Case 2: % 64.36/10.08 | | | | | % 64.36/10.08 | | | | | (64) all_24_10 = e10 | all_24_11 = e10 % 64.36/10.08 | | | | | % 64.36/10.08 | | | | | BETA: splitting (17) gives: % 64.36/10.08 | | | | | % 64.36/10.08 | | | | | Case 1: % 64.36/10.08 | | | | | | % 64.36/10.08 | | | | | | (65) all_24_12 = e11 % 64.36/10.08 | | | | | | % 64.36/10.08 | | | | | | REF_CLOSE: (20), (62), (65) are inconsistent by sub-proof #132. % 64.36/10.08 | | | | | | % 64.36/10.08 | | | | | Case 2: % 64.36/10.08 | | | | | | % 64.36/10.08 | | | | | | (66) all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11 % 64.36/10.08 | | | | | | % 64.36/10.08 | | | | | | BETA: splitting (66) gives: % 64.36/10.08 | | | | | | % 64.36/10.08 | | | | | | Case 1: % 64.36/10.08 | | | | | | | % 64.36/10.08 | | | | | | | (67) all_24_13 = e11 % 64.36/10.08 | | | | | | | % 64.36/10.08 | | | | | | | REF_CLOSE: (19), (44), (67) are inconsistent by sub-proof #48. % 64.36/10.08 | | | | | | | % 64.36/10.08 | | | | | | Case 2: % 64.36/10.08 | | | | | | | % 64.36/10.08 | | | | | | | (68) all_24_14 = e11 | all_24_15 = e11 % 64.36/10.08 | | | | | | | % 64.36/10.08 | | | | | | | BETA: splitting (68) gives: % 64.36/10.08 | | | | | | | % 64.36/10.08 | | | | | | | Case 1: % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | (69) all_24_14 = e11 % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | COMBINE_EQS: (48), (69) imply: % 64.36/10.08 | | | | | | | | (70) e11 = e10 % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | REDUCE: (54), (70) imply: % 64.36/10.08 | | | | | | | | (71) $false % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | CLOSE: (71) is inconsistent. % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | Case 2: % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | (72) all_24_15 = e11 % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | COMBINE_EQS: (24), (72) imply: % 64.36/10.08 | | | | | | | | (73) all_12_15 = e11 % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | SIMP: (73) implies: % 64.36/10.08 | | | | | | | | (74) all_12_15 = e11 % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | COMBINE_EQS: (38), (74) imply: % 64.36/10.08 | | | | | | | | (75) all_20_31 = e11 % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | REDUCE: (37), (74) imply: % 64.36/10.08 | | | | | | | | (76) ~ (all_12_13 = e11) % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | REDUCE: (18), (74) imply: % 64.36/10.08 | | | | | | | | (77) ~ (all_12_14 = e11) % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | REDUCE: (23), (74) imply: % 64.36/10.08 | | | | | | | | (78) ~ (e13 = e11) % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | REDUCE: (30), (74) imply: % 64.36/10.08 | | | | | | | | (79) op1(e11, e10) = all_20_30 % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | BETA: splitting (64) gives: % 64.36/10.08 | | | | | | | | % 64.36/10.08 | | | | | | | | Case 1: % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | (80) all_24_10 = e10 % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | COMBINE_EQS: (45), (80) imply: % 64.36/10.08 | | | | | | | | | (81) all_12_13 = e10 % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | SIMP: (81) implies: % 64.36/10.08 | | | | | | | | | (82) all_12_13 = e10 % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | COMBINE_EQS: (12), (82) imply: % 64.36/10.08 | | | | | | | | | (83) all_20_27 = e10 % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | REDUCE: (33), (82) imply: % 64.36/10.08 | | | | | | | | | (84) ~ (all_12_14 = e10) % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | REDUCE: (9), (82) imply: % 64.36/10.08 | | | | | | | | | (85) op1(e10, e12) = all_20_26 % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | BETA: splitting (3) gives: % 64.36/10.08 | | | | | | | | | % 64.36/10.08 | | | | | | | | | Case 1: % 64.36/10.08 | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | (86) all_16_11 = e12 % 64.36/10.08 | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | COMBINE_EQS: (43), (86) imply: % 64.36/10.08 | | | | | | | | | | (87) all_12_14 = e12 % 64.36/10.08 | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | COMBINE_EQS: (5), (87) imply: % 64.36/10.08 | | | | | | | | | | (88) all_20_29 = e12 % 64.36/10.08 | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | REDUCE: (6), (87) imply: % 64.36/10.08 | | | | | | | | | | (89) op1(e12, e11) = all_20_28 % 64.36/10.08 | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | REDUCE: (29), (87) imply: % 64.36/10.08 | | | | | | | | | | (90) op1(e11, e10) = e12 % 64.36/10.08 | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | BETA: splitting (58) gives: % 64.36/10.08 | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | Case 1: % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | (91) all_24_5 = e11 % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | COMBINE_EQS: (34), (91) imply: % 64.36/10.08 | | | | | | | | | | | (92) all_12_9 = e11 % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | REDUCE: (26), (92) imply: % 64.36/10.08 | | | | | | | | | | | (93) ~ (e12 = e11) % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | REDUCE: (32), (92) imply: % 64.36/10.08 | | | | | | | | | | | (94) op1(e12, e11) = e11 % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | GROUND_INST: instantiating (41) with e13, all_20_26, e12, e10, % 64.36/10.08 | | | | | | | | | | | simplifying with (14), (85) gives: % 64.36/10.08 | | | | | | | | | | | (95) all_20_26 = e13 % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | GROUND_INST: instantiating (41) with e12, all_20_30, e10, e11, % 64.36/10.08 | | | | | | | | | | | simplifying with (79), (90) gives: % 64.36/10.08 | | | | | | | | | | | (96) all_20_30 = e12 % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | GROUND_INST: instantiating (41) with e11, all_20_28, e11, e12, % 64.36/10.08 | | | | | | | | | | | simplifying with (89), (94) gives: % 64.36/10.08 | | | | | | | | | | | (97) all_20_28 = e11 % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | BETA: splitting (40) gives: % 64.36/10.08 | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | Case 1: % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | (98) all_20_24 = all_20_25 % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | COMBINE_EQS: (15), (98) imply: % 64.36/10.08 | | | | | | | | | | | | (99) all_20_25 = e11 % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | COMBINE_EQS: (2), (99) imply: % 64.36/10.08 | | | | | | | | | | | | (100) e13 = e11 % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | REDUCE: (19), (100) imply: % 64.36/10.08 | | | | | | | | | | | | (101) $false % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | CLOSE: (101) is inconsistent. % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | Case 2: % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | (102) all_20_26 = all_20_27 | all_20_28 = all_20_29 | % 64.36/10.08 | | | | | | | | | | | | all_20_30 = all_20_31 % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | BETA: splitting (102) gives: % 64.36/10.08 | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | Case 1: % 64.36/10.08 | | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | | (103) all_20_26 = all_20_27 % 64.36/10.08 | | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | | COMBINE_EQS: (95), (103) imply: % 64.36/10.08 | | | | | | | | | | | | | (104) all_20_27 = e13 % 64.36/10.08 | | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | | COMBINE_EQS: (83), (104) imply: % 64.36/10.08 | | | | | | | | | | | | | (105) e13 = e10 % 64.36/10.08 | | | | | | | | | | | | | % 64.36/10.08 | | | | | | | | | | | | | SIMP: (105) implies: % 64.36/10.09 | | | | | | | | | | | | | (106) e13 = e10 % 64.36/10.09 | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | REDUCE: (21), (106) imply: % 64.36/10.09 | | | | | | | | | | | | | (107) $false % 64.36/10.09 | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | CLOSE: (107) is inconsistent. % 64.36/10.09 | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | Case 2: % 64.36/10.09 | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | (108) all_20_28 = all_20_29 | all_20_30 = all_20_31 % 64.36/10.09 | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | BETA: splitting (108) gives: % 64.36/10.09 | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | Case 1: % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | (109) all_20_28 = all_20_29 % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | COMBINE_EQS: (97), (109) imply: % 64.36/10.09 | | | | | | | | | | | | | | (110) all_20_29 = e11 % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | COMBINE_EQS: (88), (110) imply: % 64.36/10.09 | | | | | | | | | | | | | | (111) e12 = e11 % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | REDUCE: (20), (111) imply: % 64.36/10.09 | | | | | | | | | | | | | | (112) $false % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | CLOSE: (112) is inconsistent. % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | Case 2: % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | (113) all_20_30 = all_20_31 % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | COMBINE_EQS: (96), (113) imply: % 64.36/10.09 | | | | | | | | | | | | | | (114) all_20_31 = e12 % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | COMBINE_EQS: (75), (114) imply: % 64.36/10.09 | | | | | | | | | | | | | | (115) e12 = e11 % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | SIMP: (115) implies: % 64.36/10.09 | | | | | | | | | | | | | | (116) e12 = e11 % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | REDUCE: (20), (116) imply: % 64.36/10.09 | | | | | | | | | | | | | | (117) $false % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | | CLOSE: (117) is inconsistent. % 64.36/10.09 | | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | | End of split % 64.36/10.09 | | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | | End of split % 64.36/10.09 | | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | End of split % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | Case 2: % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | (118) all_24_8 = e11 | all_24_14 = e11 % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | REF_CLOSE: (19), (28), (48), (54), (118) are inconsistent by % 64.36/10.09 | | | | | | | | | | | sub-proof #96. % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | End of split % 64.36/10.09 | | | | | | | | | | % 64.36/10.09 | | | | | | | | | Case 2: % 64.36/10.09 | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | (119) all_16_11 = e11 | all_16_11 = e10 % 64.36/10.09 | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | BETA: splitting (119) gives: % 64.36/10.09 | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | Case 1: % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | (120) all_16_11 = e11 % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | COMBINE_EQS: (43), (120) imply: % 64.36/10.09 | | | | | | | | | | | (121) all_12_14 = e11 % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | REDUCE: (77), (121) imply: % 64.36/10.09 | | | | | | | | | | | (122) $false % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | CLOSE: (122) is inconsistent. % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | Case 2: % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | (123) all_16_11 = e10 % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | COMBINE_EQS: (43), (123) imply: % 64.36/10.09 | | | | | | | | | | | (124) all_12_14 = e10 % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | REDUCE: (22), (124) imply: % 64.36/10.09 | | | | | | | | | | | (125) $false % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | | CLOSE: (125) is inconsistent. % 64.36/10.09 | | | | | | | | | | | % 64.36/10.09 | | | | | | | | | | End of split % 64.36/10.09 | | | | | | | | | | % 64.36/10.09 | | | | | | | | | End of split % 64.36/10.09 | | | | | | | | | % 64.36/10.09 | | | | | | | | Case 2: % 64.36/10.09 | | | | | | | | | % 64.36/10.09 | | | | | | | | | (126) all_24_11 = e10 % 64.36/10.09 | | | | | | | | | % 64.36/10.09 | | | | | | | | | COMBINE_EQS: (31), (126) imply: % 64.36/10.09 | | | | | | | | | (127) all_12_14 = e10 % 64.36/10.09 | | | | | | | | | % 64.36/10.09 | | | | | | | | | SIMP: (127) implies: % 64.36/10.09 | | | | | | | | | (128) all_12_14 = e10 % 64.36/10.09 | | | | | | | | | % 64.36/10.09 | | | | | | | | | REDUCE: (22), (128) imply: % 64.36/10.09 | | | | | | | | | (129) $false % 64.36/10.09 | | | | | | | | | % 64.36/10.09 | | | | | | | | | CLOSE: (129) is inconsistent. % 64.36/10.09 | | | | | | | | | % 64.36/10.09 | | | | | | | | End of split % 64.36/10.09 | | | | | | | | % 64.36/10.09 | | | | | | | End of split % 64.36/10.09 | | | | | | | % 64.36/10.09 | | | | | | End of split % 64.36/10.09 | | | | | | % 64.36/10.09 | | | | | End of split % 64.36/10.09 | | | | | % 64.36/10.09 | | | | End of split % 64.36/10.09 | | | | % 64.36/10.09 | | | Case 2: % 64.36/10.09 | | | | % 64.36/10.09 | | | | (130) all_16_12 = e11 | all_16_12 = e10 % 64.36/10.09 | | | | % 64.36/10.09 | | | | REF_CLOSE: (11), (46), (51), (130) are inconsistent by sub-proof #119. % 64.36/10.09 | | | | % 64.36/10.09 | | | End of split % 64.36/10.09 | | | % 64.36/10.09 | | End of split % 64.36/10.09 | | % 64.36/10.09 | End of split % 64.36/10.09 | % 64.36/10.09 End of proof % 64.36/10.09 % 64.36/10.09 Sub-proof #2 shows that the following formulas are inconsistent: % 64.36/10.09 ---------------------------------------------------------------- % 64.36/10.09 (1) all_22_9 = e23 % 64.36/10.09 (2) all_22_9 = e20 % 64.36/10.09 (3) ~ (e23 = e20) % 64.36/10.09 % 64.36/10.09 Begin of proof % 64.36/10.09 | % 64.36/10.09 | COMBINE_EQS: (1), (2) imply: % 64.36/10.09 | (4) e23 = e20 % 64.36/10.09 | % 64.36/10.09 | SIMP: (4) implies: % 64.36/10.09 | (5) e23 = e20 % 64.36/10.09 | % 64.36/10.09 | REDUCE: (3), (5) imply: % 64.36/10.09 | (6) $false % 64.36/10.09 | % 64.36/10.09 | CLOSE: (6) is inconsistent. % 64.36/10.09 | % 64.36/10.09 End of proof % 64.36/10.09 % 64.36/10.09 Sub-proof #3 shows that the following formulas are inconsistent: % 64.36/10.09 ---------------------------------------------------------------- % 64.36/10.09 (1) all_22_7 = e23 % 64.36/10.09 (2) all_22_5 = all_4_0 % 64.36/10.09 (3) ~ (e23 = e20) % 64.36/10.09 (4) ~ (all_4_0 = e21) % 64.36/10.09 (5) all_22_11 = e23 % 64.36/10.09 (6) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 64.36/10.09 (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 64.36/10.09 (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23)) % 64.36/10.09 % 64.36/10.09 Begin of proof % 64.36/10.09 | % 64.36/10.09 | BETA: splitting (6) gives: % 64.36/10.09 | % 64.36/10.09 | Case 1: % 64.36/10.09 | | % 64.36/10.09 | | (7) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 | | (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20) % 64.36/10.09 | | % 64.36/10.09 | | ALPHA: (7) implies: % 64.36/10.09 | | (8) ~ (all_22_11 = e23) % 64.36/10.09 | | % 64.36/10.09 | | REDUCE: (5), (8) imply: % 64.36/10.09 | | (9) $false % 64.36/10.09 | | % 64.36/10.09 | | CLOSE: (9) is inconsistent. % 64.36/10.09 | | % 64.36/10.09 | Case 2: % 64.36/10.09 | | % 64.36/10.09 | | (10) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 | | (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 64.36/10.09 | | (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 | | (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23)) % 64.36/10.09 | | % 64.36/10.09 | | BETA: splitting (10) gives: % 64.36/10.09 | | % 64.36/10.09 | | Case 1: % 64.36/10.09 | | | % 64.36/10.09 | | | (11) all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 | | | (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20) % 64.36/10.09 | | | % 64.36/10.09 | | | ALPHA: (11) implies: % 64.36/10.09 | | | (12) all_22_5 = e21 % 64.36/10.09 | | | % 64.36/10.09 | | | COMBINE_EQS: (2), (12) imply: % 64.36/10.09 | | | (13) all_4_0 = e21 % 64.36/10.09 | | | % 64.36/10.09 | | | REDUCE: (4), (13) imply: % 64.36/10.09 | | | (14) $false % 64.36/10.09 | | | % 64.36/10.09 | | | CLOSE: (14) is inconsistent. % 64.36/10.09 | | | % 64.36/10.09 | | Case 2: % 64.36/10.09 | | | % 64.36/10.09 | | | (15) all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.09 | | | (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23) % 64.36/10.09 | | | % 64.36/10.09 | | | ALPHA: (15) implies: % 64.36/10.09 | | | (16) all_22_7 = e20 % 64.36/10.09 | | | % 64.36/10.09 | | | COMBINE_EQS: (1), (16) imply: % 64.36/10.09 | | | (17) e23 = e20 % 64.36/10.09 | | | % 64.36/10.09 | | | REDUCE: (3), (17) imply: % 64.36/10.09 | | | (18) $false % 64.36/10.09 | | | % 64.36/10.09 | | | CLOSE: (18) is inconsistent. % 64.36/10.09 | | | % 64.36/10.09 | | End of split % 64.36/10.09 | | % 64.36/10.09 | End of split % 64.36/10.09 | % 64.36/10.09 End of proof % 64.36/10.09 % 64.36/10.09 Sub-proof #4 shows that the following formulas are inconsistent: % 64.36/10.09 ---------------------------------------------------------------- % 64.36/10.09 (1) all_26_13 = all_14_7 % 64.36/10.09 (2) all_26_13 = e20 % 64.36/10.09 (3) ~ (all_14_7 = e20) % 64.36/10.09 % 64.36/10.09 Begin of proof % 64.36/10.09 | % 64.36/10.09 | COMBINE_EQS: (1), (2) imply: % 64.36/10.09 | (4) all_14_7 = e20 % 64.36/10.09 | % 64.36/10.09 | SIMP: (4) implies: % 64.36/10.09 | (5) all_14_7 = e20 % 64.36/10.09 | % 64.36/10.09 | REDUCE: (3), (5) imply: % 64.36/10.09 | (6) $false % 64.36/10.09 | % 64.36/10.09 | CLOSE: (6) is inconsistent. % 64.36/10.09 | % 64.36/10.09 End of proof % 64.36/10.09 % 64.36/10.09 Sub-proof #5 shows that the following formulas are inconsistent: % 64.36/10.09 ---------------------------------------------------------------- % 64.36/10.09 (1) all_26_12 = e23 % 64.36/10.09 (2) all_26_12 = e20 % 64.36/10.09 (3) ~ (e23 = e20) % 64.36/10.09 % 64.36/10.09 Begin of proof % 64.36/10.09 | % 64.36/10.09 | COMBINE_EQS: (1), (2) imply: % 64.36/10.09 | (4) e23 = e20 % 64.36/10.09 | % 64.36/10.09 | SIMP: (4) implies: % 64.36/10.09 | (5) e23 = e20 % 64.36/10.09 | % 64.36/10.09 | REDUCE: (3), (5) imply: % 64.36/10.09 | (6) $false % 64.36/10.09 | % 64.36/10.09 | CLOSE: (6) is inconsistent. % 64.36/10.09 | % 64.36/10.09 End of proof % 64.36/10.09 % 64.36/10.09 Sub-proof #6 shows that the following formulas are inconsistent: % 64.36/10.09 ---------------------------------------------------------------- % 64.36/10.09 (1) all_22_24 = e21 % 64.36/10.09 (2) ~ (all_14_13 = all_10_1) % 64.36/10.09 (3) all_22_13 = e23 % 64.36/10.09 (4) all_26_5 = e23 % 64.36/10.09 (5) op2(all_10_1, e20) = all_22_30 % 64.36/10.09 (6) op2(e21, e20) = all_14_14 % 64.36/10.09 (7) all_26_10 = all_14_13 % 64.36/10.09 (8) ~ (e22 = e21) % 64.36/10.09 (9) all_22_29 = all_14_14 % 64.36/10.09 (10) all_18_7 = all_14_13 % 64.36/10.09 (11) ~ (all_14_7 = all_10_1) % 64.36/10.09 (12) ~ (all_14_7 = e20) % 64.36/10.09 (13) all_22_27 = all_14_13 % 64.36/10.09 (14) all_22_17 = e22 % 64.36/10.09 (15) ~ (all_14_1 = e23) % 64.36/10.09 (16) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 64.36/10.09 (17) all_26_9 = e23 % 64.36/10.09 (18) all_22_9 = e20 % 64.36/10.09 (19) all_26_15 = all_10_1 % 64.36/10.09 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 64.36/10.09 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 64.36/10.09 (21) ~ (all_4_1 = e23) % 64.36/10.09 (22) all_22_24 = all_22_25 | all_22_26 = all_22_27 | all_22_28 = all_22_29 | % 64.36/10.09 all_22_30 = all_22_31 % 64.36/10.09 (23) ~ (all_14_7 = e23) % 64.36/10.09 (24) all_22_7 = e23 % 64.36/10.09 (25) ~ (e23 = e21) % 64.36/10.09 (26) ~ (all_14_2 = all_14_14) % 64.36/10.09 (27) all_22_3 = all_14_1 % 64.36/10.09 (28) ~ (all_14_14 = e23) % 64.36/10.09 (29) all_22_31 = all_10_1 % 64.36/10.09 (30) all_22_5 = all_14_2 % 64.36/10.09 (31) op2(e20, e22) = all_14_7 % 64.36/10.09 (32) ~ (all_14_13 = all_6_1) % 64.36/10.09 (33) all_26_4 = e22 % 64.36/10.09 (34) all_18_5 = all_6_1 % 64.36/10.09 (35) ~ (all_14_1 = all_14_2) % 64.36/10.09 (36) all_22_25 = e23 % 64.36/10.09 (37) ~ (e21 = e20) % 64.36/10.09 (38) all_26_8 = all_4_1 % 64.36/10.09 (39) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 64.36/10.09 (40) ~ (all_14_14 = all_4_1) % 64.36/10.09 (41) ~ (e23 = e20) % 64.36/10.09 (42) op2(all_14_14, e21) = all_22_28 % 64.36/10.09 (43) all_26_11 = all_14_14 % 64.36/10.09 (44) all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20 % 64.36/10.09 (45) all_26_14 = e20 % 64.36/10.09 (46) ~ (all_6_1 = e20) % 64.36/10.09 (47) ~ (e23 = e22) % 64.36/10.09 (48) ~ (all_14_1 = all_14_13) % 64.36/10.09 (49) all_22_19 = e23 % 64.36/10.09 (50) all_18_8 = all_14_2 % 64.36/10.09 (51) all_26_7 = e23 % 64.36/10.10 (52) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.10 (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) | % 64.36/10.10 (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.10 (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 64.36/10.10 (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.10 (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 64.36/10.10 (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_3 = e23) & ~ % 64.36/10.10 (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 64.36/10.10 (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.36/10.10 (all_22_19 = e21) & ~ (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 64.36/10.10 (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.36/10.10 (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22)) | % 64.36/10.10 (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) & ~ % 64.36/10.10 (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 64.36/10.10 (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & ~ % 64.36/10.10 (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 64.36/10.10 (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 64.36/10.10 (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 64.36/10.10 (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = e23) & ~ % 64.36/10.10 (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.36/10.10 (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ % 64.36/10.10 (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.36/10.10 (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 64.36/10.10 (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) % 64.36/10.10 (53) all_26_3 = all_6_1 % 64.36/10.10 (54) ~ (all_14_1 = all_6_1) % 64.36/10.10 (55) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 64.36/10.10 (56) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22 % 64.36/10.10 (57) all_22_15 = all_14_7 % 64.36/10.10 (58) op2(all_14_13, e22) = all_22_26 % 64.36/10.10 (59) all_22_21 = all_4_1 % 64.36/10.10 (60) ~ (all_14_2 = all_4_1) % 64.36/10.10 (61) all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21 % 64.36/10.10 (62) all_18_15 = all_10_1 % 64.36/10.10 (63) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 64.36/10.10 (64) ~ (all_10_1 = e23) % 64.36/10.10 (65) all_26_1 = e20 % 64.36/10.10 (66) all_26_13 = all_14_7 % 64.36/10.10 (67) op2(e22, e21) = e23 % 64.36/10.10 (68) ~ (all_14_14 = all_10_1) % 64.36/10.10 % 64.36/10.10 Begin of proof % 64.36/10.10 | % 64.36/10.10 | BETA: splitting (61) gives: % 64.36/10.10 | % 64.36/10.10 | Case 1: % 64.36/10.10 | | % 64.36/10.10 | | (69) all_26_4 = e21 % 64.36/10.10 | | % 64.36/10.10 | | REF_CLOSE: (8), (33), (69) are inconsistent by sub-proof #73. % 64.36/10.10 | | % 64.36/10.10 | Case 2: % 64.36/10.10 | | % 64.36/10.10 | | (70) all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21 % 64.36/10.10 | | % 64.36/10.10 | | BETA: splitting (70) gives: % 64.36/10.10 | | % 64.36/10.10 | | Case 1: % 64.36/10.10 | | | % 64.36/10.10 | | | (71) all_26_5 = e21 % 64.36/10.10 | | | % 64.36/10.10 | | | COMBINE_EQS: (4), (71) imply: % 64.36/10.10 | | | (72) e23 = e21 % 64.36/10.10 | | | % 64.36/10.10 | | | SIMP: (72) implies: % 64.36/10.10 | | | (73) e23 = e21 % 64.36/10.10 | | | % 64.36/10.10 | | | REDUCE: (25), (73) imply: % 64.36/10.10 | | | (74) $false % 64.36/10.10 | | | % 64.36/10.10 | | | CLOSE: (74) is inconsistent. % 64.36/10.10 | | | % 64.36/10.10 | | Case 2: % 64.36/10.10 | | | % 64.36/10.10 | | | (75) all_26_8 = e21 | all_26_14 = e21 % 64.36/10.10 | | | % 64.36/10.10 | | | BETA: splitting (75) gives: % 64.36/10.10 | | | % 64.36/10.10 | | | Case 1: % 64.36/10.10 | | | | % 64.36/10.10 | | | | (76) all_26_8 = e21 % 64.36/10.10 | | | | % 64.36/10.10 | | | | COMBINE_EQS: (38), (76) imply: % 64.36/10.10 | | | | (77) all_4_1 = e21 % 64.36/10.10 | | | | % 64.36/10.10 | | | | SIMP: (77) implies: % 64.36/10.10 | | | | (78) all_4_1 = e21 % 64.36/10.10 | | | | % 64.36/10.10 | | | | COMBINE_EQS: (59), (78) imply: % 64.36/10.10 | | | | (79) all_22_21 = e21 % 64.36/10.10 | | | | % 64.36/10.10 | | | | REDUCE: (60), (78) imply: % 64.36/10.10 | | | | (80) ~ (all_14_2 = e21) % 64.36/10.10 | | | | % 64.36/10.10 | | | | REDUCE: (40), (78) imply: % 64.36/10.10 | | | | (81) ~ (all_14_14 = e21) % 64.36/10.10 | | | | % 64.36/10.10 | | | | REDUCE: (21), (78) imply: % 64.36/10.10 | | | | (82) ~ (e23 = e21) % 64.36/10.10 | | | | % 64.36/10.10 | | | | BETA: splitting (52) gives: % 64.36/10.10 | | | | % 64.36/10.10 | | | | Case 1: % 64.36/10.10 | | | | | % 64.36/10.10 | | | | | (83) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & % 64.36/10.10 | | | | | ~ (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ (all_22_25 = % 64.36/10.10 | | | | | e20)) | (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ % 64.36/10.10 | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ (all_22_21 = % 64.36/10.10 | | | | | e23) & ~ (all_22_25 = e20)) | (all_22_7 = e20 & ~ % 64.36/10.10 | | | | | (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ (all_22_17 = % 64.36/10.10 | | | | | e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23)) | % 64.36/10.10 | | | | | (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_3 = e23) & % 64.36/10.10 | | | | | ~ (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = % 64.36/10.10 | | | | | e20)) | (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ % 64.36/10.10 | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_21 = % 64.36/10.10 | | | | | e22) & ~ (all_22_27 = e20)) | (all_22_15 = e20 & ~ % 64.36/10.10 | | | | | (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ (all_22_19 = % 64.36/10.10 | | | | | e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22)) % 64.36/10.10 | | | | | % 64.36/10.10 | | | | | BETA: splitting (83) gives: % 64.36/10.10 | | | | | % 64.36/10.10 | | | | | Case 1: % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | (84) (all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) % 64.36/10.10 | | | | | | & ~ (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ % 64.36/10.10 | | | | | | (all_22_25 = e20)) | (all_22_5 = e21 & ~ (all_22_1 = e23) % 64.36/10.10 | | | | | | & ~ (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 64.36/10.10 | | | | | | (all_22_21 = e23) & ~ (all_22_25 = e20)) | (all_22_7 = % 64.36/10.10 | | | | | | e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.10 | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = % 64.36/10.10 | | | | | | e23)) % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | BETA: splitting (84) gives: % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | Case 1: % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | (85) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) % 64.36/10.10 | | | | | | | & ~ (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ % 64.36/10.10 | | | | | | | (all_22_25 = e20) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | ALPHA: (85) implies: % 64.36/10.10 | | | | | | | (86) all_22_3 = e22 % 64.36/10.10 | | | | | | | (87) ~ (all_22_9 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | COMBINE_EQS: (27), (86) imply: % 64.36/10.10 | | | | | | | (88) all_14_1 = e22 % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | SIMP: (88) implies: % 64.36/10.10 | | | | | | | (89) all_14_1 = e22 % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | REDUCE: (18), (87) imply: % 64.36/10.10 | | | | | | | (90) ~ (e22 = e20) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | SIMP: (90) implies: % 64.36/10.10 | | | | | | | (91) ~ (e22 = e20) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | REDUCE: (35), (89) imply: % 64.36/10.10 | | | | | | | (92) ~ (all_14_2 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | SIMP: (92) implies: % 64.36/10.10 | | | | | | | (93) ~ (all_14_2 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | REDUCE: (48), (89) imply: % 64.36/10.10 | | | | | | | (94) ~ (all_14_13 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | SIMP: (94) implies: % 64.36/10.10 | | | | | | | (95) ~ (all_14_13 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | REDUCE: (54), (89) imply: % 64.36/10.10 | | | | | | | (96) ~ (all_6_1 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | SIMP: (96) implies: % 64.36/10.10 | | | | | | | (97) ~ (all_6_1 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | REDUCE: (15), (89) imply: % 64.36/10.10 | | | | | | | (98) ~ (e23 = e22) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (9), (10), (11), (13), (16), % 64.36/10.10 | | | | | | | (17), (19), (20), (22), (23), (26), (28), (29), (31), % 64.36/10.10 | | | | | | | (32), (34), (36), (39), (42), (43), (44), (46), (47), % 64.36/10.10 | | | | | | | (50), (51), (53), (55), (56), (58), (62), (63), (64), % 64.36/10.10 | | | | | | | (65), (66), (67), (68), (80), (91), (93), (95), (97) % 64.36/10.10 | | | | | | | are inconsistent by sub-proof #7. % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | Case 2: % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | (99) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = % 64.36/10.10 | | | | | | | e22) & ~ (all_22_17 = e21) & ~ (all_22_21 = e23) & % 64.36/10.10 | | | | | | | ~ (all_22_25 = e20)) | (all_22_7 = e20 & ~ (all_22_1 = % 64.36/10.10 | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ % 64.36/10.10 | | | | | | | (all_22_25 = e20) & ~ (all_22_31 = e23)) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | BETA: splitting (99) gives: % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | Case 1: % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | (100) all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = % 64.36/10.10 | | | | | | | | e22) & ~ (all_22_17 = e21) & ~ (all_22_21 = e23) & % 64.36/10.10 | | | | | | | | ~ (all_22_25 = e20) % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | REF_CLOSE: (30), (80), (100) are inconsistent by sub-proof #19. % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | Case 2: % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | (101) all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = % 64.36/10.10 | | | | | | | | e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20) & % 64.36/10.10 | | | | | | | | ~ (all_22_31 = e23) % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | REF_CLOSE: (24), (41), (101) are inconsistent by sub-proof #9. % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | End of split % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | End of split % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | Case 2: % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | (102) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_3 = e23) % 64.36/10.10 | | | | | | & ~ (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 64.36/10.10 | | | | | | (all_22_27 = e20)) | (all_22_13 = e21 & ~ (all_22_3 = % 64.36/10.10 | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ % 64.36/10.10 | | | | | | (all_22_21 = e22) & ~ (all_22_27 = e20)) | (all_22_15 = % 64.36/10.10 | | | | | | e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.36/10.10 | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 % 64.36/10.10 | | | | | | = e22)) % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | REF_CLOSE: (3), (12), (18), (25), (41), (57), (102) are inconsistent % 64.36/10.10 | | | | | | by sub-proof #15. % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | End of split % 64.36/10.10 | | | | | % 64.36/10.10 | | | | Case 2: % 64.36/10.10 | | | | | % 64.36/10.10 | | | | | (103) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) % 64.36/10.10 | | | | | & ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 64.36/10.10 | | | | | (all_22_29 = e20)) | (all_22_19 = e22 & ~ (all_22_5 = e23) % 64.36/10.10 | | | | | & ~ (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 64.36/10.10 | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | (all_22_23 = % 64.36/10.10 | | | | | e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 64.36/10.10 | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = % 64.36/10.10 | | | | | e21)) | (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ % 64.36/10.10 | | | | | (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ (all_22_23 = % 64.36/10.10 | | | | | e21) & ~ (all_22_31 = e20)) | (all_22_27 = e22 & ~ % 64.36/10.10 | | | | | (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ (all_22_15 = % 64.36/10.10 | | | | | e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.36/10.10 | | | | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) % 64.36/10.10 | | | | | & ~ (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ % 64.36/10.10 | | | | | (all_22_31 = e20)) % 64.36/10.10 | | | | | % 64.36/10.10 | | | | | BETA: splitting (103) gives: % 64.36/10.10 | | | | | % 64.36/10.10 | | | | | Case 1: % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | (104) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = % 64.36/10.10 | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 64.36/10.10 | | | | | | (all_22_29 = e20)) | (all_22_19 = e22 & ~ (all_22_5 = % 64.36/10.10 | | | | | | e23) & ~ (all_22_11 = e21) & ~ (all_22_13 = e22) & ~ % 64.36/10.10 | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | (all_22_23 = % 64.36/10.10 | | | | | | e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 64.36/10.10 | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 % 64.36/10.10 | | | | | | = e21)) % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | BETA: splitting (104) gives: % 64.36/10.10 | | | | | | % 64.36/10.10 | | | | | | Case 1: % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | (105) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = % 64.36/10.10 | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ % 64.36/10.10 | | | | | | | (all_22_29 = e20) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | REF_CLOSE: (14), (47), (105) are inconsistent by sub-proof #76. % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | Case 2: % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | (106) (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = % 64.36/10.10 | | | | | | | e21) & ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & % 64.36/10.10 | | | | | | | ~ (all_22_29 = e20)) | (all_22_23 = e20 & ~ (all_22_5 % 64.36/10.10 | | | | | | | = e23) & ~ (all_22_13 = e22) & ~ (all_22_21 = e21) % 64.36/10.10 | | | | | | | & ~ (all_22_29 = e20) & ~ (all_22_31 = e21)) % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | BETA: splitting (106) gives: % 64.36/10.10 | | | | | | | % 64.36/10.10 | | | | | | | Case 1: % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | (107) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = % 64.36/10.10 | | | | | | | | e21) & ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & % 64.36/10.10 | | | | | | | | ~ (all_22_29 = e20) % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | REF_CLOSE: (47), (49), (107) are inconsistent by sub-proof #54. % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | Case 2: % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | (108) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = % 64.36/10.10 | | | | | | | | e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20) & % 64.36/10.10 | | | | | | | | ~ (all_22_31 = e21) % 64.36/10.10 | | | | | | | | % 64.36/10.10 | | | | | | | | ALPHA: (108) implies: % 64.36/10.11 | | | | | | | | (109) ~ (all_22_21 = e21) % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | REDUCE: (79), (109) imply: % 64.36/10.11 | | | | | | | | (110) $false % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | CLOSE: (110) is inconsistent. % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | End of split % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | End of split % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | Case 2: % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | (111) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = % 64.36/10.11 | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ % 64.36/10.11 | | | | | | (all_22_31 = e20)) | (all_22_27 = e22 & ~ (all_22_7 = % 64.36/10.11 | | | | | | e23) & ~ (all_22_11 = e20) & ~ (all_22_15 = e22) & ~ % 64.36/10.11 | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | (all_22_29 = % 64.36/10.11 | | | | | | e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 64.36/10.11 | | | | | | (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 % 64.36/10.11 | | | | | | = e20)) % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | BETA: splitting (111) gives: % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | Case 1: % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | (112) all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = % 64.36/10.11 | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ % 64.36/10.11 | | | | | | | (all_22_31 = e20) % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | ALPHA: (112) implies: % 64.36/10.11 | | | | | | | (113) ~ (all_22_7 = e23) % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | REDUCE: (24), (113) imply: % 64.36/10.11 | | | | | | | (114) $false % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | CLOSE: (114) is inconsistent. % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | Case 2: % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | (115) (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = % 64.36/10.11 | | | | | | | e20) & ~ (all_22_15 = e22) & ~ (all_22_23 = e21) & % 64.36/10.11 | | | | | | | ~ (all_22_31 = e20)) | (all_22_29 = e21 & ~ (all_22_7 % 64.36/10.11 | | | | | | | = e23) & ~ (all_22_15 = e22) & ~ (all_22_21 = e20) % 64.36/10.11 | | | | | | | & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | BETA: splitting (115) gives: % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | Case 1: % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | (116) all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = % 64.36/10.11 | | | | | | | | e20) & ~ (all_22_15 = e22) & ~ (all_22_23 = e21) & % 64.36/10.11 | | | | | | | | ~ (all_22_31 = e20) % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | ALPHA: (116) implies: % 64.36/10.11 | | | | | | | | (117) ~ (all_22_7 = e23) % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | REDUCE: (24), (117) imply: % 64.36/10.11 | | | | | | | | (118) $false % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | CLOSE: (118) is inconsistent. % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | Case 2: % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | (119) all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = % 64.36/10.11 | | | | | | | | e22) & ~ (all_22_21 = e20) & ~ (all_22_23 = e21) & % 64.36/10.11 | | | | | | | | ~ (all_22_31 = e20) % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | ALPHA: (119) implies: % 64.36/10.11 | | | | | | | | (120) all_22_29 = e21 % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | COMBINE_EQS: (9), (120) imply: % 64.36/10.11 | | | | | | | | (121) all_14_14 = e21 % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | SIMP: (121) implies: % 64.36/10.11 | | | | | | | | (122) all_14_14 = e21 % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | REDUCE: (81), (122) imply: % 64.36/10.11 | | | | | | | | (123) $false % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | CLOSE: (123) is inconsistent. % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | End of split % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | End of split % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | End of split % 64.36/10.11 | | | | | % 64.36/10.11 | | | | End of split % 64.36/10.11 | | | | % 64.36/10.11 | | | Case 2: % 64.36/10.11 | | | | % 64.36/10.11 | | | | (124) all_26_14 = e21 % 64.36/10.11 | | | | % 64.36/10.11 | | | | COMBINE_EQS: (45), (124) imply: % 64.36/10.11 | | | | (125) e21 = e20 % 64.36/10.11 | | | | % 64.36/10.11 | | | | REDUCE: (37), (125) imply: % 64.36/10.11 | | | | (126) $false % 64.36/10.11 | | | | % 64.36/10.11 | | | | CLOSE: (126) is inconsistent. % 64.36/10.11 | | | | % 64.36/10.11 | | | End of split % 64.36/10.11 | | | % 64.36/10.11 | | End of split % 64.36/10.11 | | % 64.36/10.11 | End of split % 64.36/10.11 | % 64.36/10.11 End of proof % 64.36/10.11 % 64.36/10.11 Sub-proof #7 shows that the following formulas are inconsistent: % 64.36/10.11 ---------------------------------------------------------------- % 64.36/10.11 (1) all_22_24 = e21 % 64.36/10.11 (2) ~ (all_14_13 = all_10_1) % 64.36/10.11 (3) op2(all_10_1, e20) = all_22_30 % 64.36/10.11 (4) op2(e21, e20) = all_14_14 % 64.36/10.11 (5) ~ (all_6_1 = e22) % 64.36/10.11 (6) all_26_10 = all_14_13 % 64.36/10.11 (7) ~ (all_14_2 = e21) % 64.36/10.11 (8) all_22_29 = all_14_14 % 64.36/10.11 (9) all_18_7 = all_14_13 % 64.36/10.11 (10) ~ (all_14_7 = all_10_1) % 64.36/10.11 (11) all_22_27 = all_14_13 % 64.36/10.11 (12) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 64.36/10.11 (13) all_26_9 = e23 % 64.36/10.11 (14) all_26_15 = all_10_1 % 64.36/10.11 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 64.36/10.11 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 64.36/10.11 (16) all_22_24 = all_22_25 | all_22_26 = all_22_27 | all_22_28 = all_22_29 | % 64.36/10.11 all_22_30 = all_22_31 % 64.36/10.11 (17) ~ (all_14_7 = e23) % 64.36/10.11 (18) ~ (all_14_2 = all_14_14) % 64.36/10.11 (19) ~ (all_14_14 = e23) % 64.36/10.11 (20) all_22_31 = all_10_1 % 64.36/10.11 (21) op2(e20, e22) = all_14_7 % 64.36/10.11 (22) ~ (all_14_13 = all_6_1) % 64.36/10.11 (23) ~ (all_14_13 = e22) % 64.36/10.11 (24) all_18_5 = all_6_1 % 64.36/10.11 (25) all_22_25 = e23 % 64.36/10.11 (26) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 64.36/10.11 (27) op2(all_14_14, e21) = all_22_28 % 64.36/10.11 (28) all_26_11 = all_14_14 % 64.36/10.11 (29) all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20 % 64.36/10.11 (30) ~ (e22 = e20) % 64.36/10.11 (31) ~ (all_6_1 = e20) % 64.36/10.11 (32) ~ (e23 = e22) % 64.36/10.11 (33) all_18_8 = all_14_2 % 64.36/10.11 (34) all_26_7 = e23 % 64.36/10.11 (35) all_26_3 = all_6_1 % 64.36/10.11 (36) ~ (all_14_2 = e22) % 64.36/10.11 (37) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 64.36/10.11 (38) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22 % 64.36/10.11 (39) op2(all_14_13, e22) = all_22_26 % 64.36/10.11 (40) all_18_15 = all_10_1 % 64.36/10.11 (41) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 64.36/10.11 (42) ~ (all_10_1 = e23) % 64.36/10.11 (43) all_26_1 = e20 % 64.36/10.11 (44) all_26_13 = all_14_7 % 64.36/10.11 (45) op2(e22, e21) = e23 % 64.36/10.11 (46) ~ (all_14_14 = all_10_1) % 64.36/10.11 % 64.36/10.11 Begin of proof % 64.36/10.11 | % 64.36/10.11 | BETA: splitting (41) gives: % 64.36/10.11 | % 64.36/10.11 | Case 1: % 64.36/10.11 | | % 64.36/10.11 | | (47) all_18_8 = e22 % 64.36/10.11 | | % 64.36/10.11 | | COMBINE_EQS: (33), (47) imply: % 64.36/10.11 | | (48) all_14_2 = e22 % 64.36/10.11 | | % 64.36/10.11 | | SIMP: (48) implies: % 64.36/10.11 | | (49) all_14_2 = e22 % 64.36/10.11 | | % 64.36/10.11 | | REDUCE: (36), (49) imply: % 64.36/10.11 | | (50) $false % 64.36/10.11 | | % 64.36/10.11 | | CLOSE: (50) is inconsistent. % 64.36/10.11 | | % 64.36/10.11 | Case 2: % 64.36/10.11 | | % 64.36/10.11 | | (51) all_18_8 = e21 | all_18_8 = e20 % 64.36/10.11 | | % 64.36/10.11 | | BETA: splitting (12) gives: % 64.36/10.11 | | % 64.36/10.11 | | Case 1: % 64.36/10.11 | | | % 64.36/10.11 | | | (52) all_26_1 = e22 % 64.36/10.11 | | | % 64.36/10.11 | | | COMBINE_EQS: (43), (52) imply: % 64.36/10.11 | | | (53) e22 = e20 % 64.36/10.11 | | | % 64.36/10.11 | | | REDUCE: (30), (53) imply: % 64.36/10.11 | | | (54) $false % 64.36/10.11 | | | % 64.36/10.11 | | | CLOSE: (54) is inconsistent. % 64.36/10.11 | | | % 64.36/10.11 | | Case 2: % 64.36/10.11 | | | % 64.36/10.11 | | | (55) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 64.36/10.11 | | | % 64.36/10.11 | | | BETA: splitting (55) gives: % 64.36/10.11 | | | % 64.36/10.11 | | | Case 1: % 64.36/10.11 | | | | % 64.36/10.11 | | | | (56) all_26_3 = e22 % 64.36/10.11 | | | | % 64.36/10.11 | | | | REF_CLOSE: (5), (35), (56) are inconsistent by sub-proof #40. % 64.36/10.11 | | | | % 64.36/10.11 | | | Case 2: % 64.36/10.11 | | | | % 64.36/10.11 | | | | (57) ~ (all_26_3 = e22) % 64.36/10.11 | | | | (58) all_26_7 = e22 | all_26_13 = e22 % 64.36/10.11 | | | | % 64.36/10.11 | | | | BETA: splitting (37) gives: % 64.36/10.11 | | | | % 64.36/10.11 | | | | Case 1: % 64.36/10.11 | | | | | % 64.36/10.11 | | | | | (59) all_18_5 = e22 % 64.36/10.11 | | | | | % 64.36/10.11 | | | | | REF_CLOSE: (5), (24), (59) are inconsistent by sub-proof #57. % 64.36/10.11 | | | | | % 64.36/10.11 | | | | Case 2: % 64.36/10.11 | | | | | % 64.36/10.11 | | | | | (60) all_18_5 = e21 | all_18_5 = e20 % 64.36/10.11 | | | | | % 64.36/10.11 | | | | | BETA: splitting (58) gives: % 64.36/10.11 | | | | | % 64.36/10.11 | | | | | Case 1: % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | (61) all_26_7 = e22 % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | COMBINE_EQS: (34), (61) imply: % 64.36/10.11 | | | | | | (62) e23 = e22 % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | SIMP: (62) implies: % 64.36/10.11 | | | | | | (63) e23 = e22 % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | REDUCE: (32), (63) imply: % 64.36/10.11 | | | | | | (64) $false % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | CLOSE: (64) is inconsistent. % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | Case 2: % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | (65) all_26_13 = e22 % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | COMBINE_EQS: (44), (65) imply: % 64.36/10.11 | | | | | | (66) all_14_7 = e22 % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | SIMP: (66) implies: % 64.36/10.11 | | | | | | (67) all_14_7 = e22 % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | REDUCE: (10), (67) imply: % 64.36/10.11 | | | | | | (68) ~ (all_10_1 = e22) % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | SIMP: (68) implies: % 64.36/10.11 | | | | | | (69) ~ (all_10_1 = e22) % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | REDUCE: (17), (67) imply: % 64.36/10.11 | | | | | | (70) ~ (e23 = e22) % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | REDUCE: (21), (67) imply: % 64.36/10.11 | | | | | | (71) op2(e20, e22) = e22 % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | BETA: splitting (60) gives: % 64.36/10.11 | | | | | | % 64.36/10.11 | | | | | | Case 1: % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | (72) all_18_5 = e21 % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | COMBINE_EQS: (24), (72) imply: % 64.36/10.11 | | | | | | | (73) all_6_1 = e21 % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | REDUCE: (22), (73) imply: % 64.36/10.11 | | | | | | | (74) ~ (all_14_13 = e21) % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | BETA: splitting (26) gives: % 64.36/10.11 | | | | | | | % 64.36/10.11 | | | | | | | Case 1: % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | (75) all_18_7 = e22 % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | REF_CLOSE: (9), (23), (75) are inconsistent by sub-proof #72. % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | Case 2: % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | (76) ~ (all_18_7 = e22) % 64.36/10.11 | | | | | | | | (77) all_18_7 = e21 | all_18_7 = e20 % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | BETA: splitting (38) gives: % 64.36/10.11 | | | | | | | | % 64.36/10.11 | | | | | | | | Case 1: % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | (78) all_26_9 = e22 % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | COMBINE_EQS: (13), (78) imply: % 64.36/10.11 | | | | | | | | | (79) e23 = e22 % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | SIMP: (79) implies: % 64.36/10.11 | | | | | | | | | (80) e23 = e22 % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | REDUCE: (32), (80) imply: % 64.36/10.11 | | | | | | | | | (81) $false % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | CLOSE: (81) is inconsistent. % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | Case 2: % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | (82) all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22 % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | BETA: splitting (82) gives: % 64.36/10.11 | | | | | | | | | % 64.36/10.11 | | | | | | | | | Case 1: % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | (83) all_26_10 = e22 % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | COMBINE_EQS: (6), (83) imply: % 64.36/10.11 | | | | | | | | | | (84) all_14_13 = e22 % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | SIMP: (84) implies: % 64.36/10.11 | | | | | | | | | | (85) all_14_13 = e22 % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | REDUCE: (23), (85) imply: % 64.36/10.11 | | | | | | | | | | (86) $false % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | CLOSE: (86) is inconsistent. % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | Case 2: % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | (87) all_26_11 = e22 | all_26_15 = e22 % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | BETA: splitting (77) gives: % 64.36/10.11 | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | Case 1: % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | (88) all_18_7 = e21 % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | REF_CLOSE: (9), (74), (88) are inconsistent by sub-proof #43. % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | Case 2: % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | (89) all_18_7 = e20 % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | COMBINE_EQS: (9), (89) imply: % 64.36/10.11 | | | | | | | | | | | (90) all_14_13 = e20 % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | SIMP: (90) implies: % 64.36/10.11 | | | | | | | | | | | (91) all_14_13 = e20 % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | COMBINE_EQS: (11), (91) imply: % 64.36/10.11 | | | | | | | | | | | (92) all_22_27 = e20 % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | REDUCE: (2), (91) imply: % 64.36/10.11 | | | | | | | | | | | (93) ~ (all_10_1 = e20) % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | SIMP: (93) implies: % 64.36/10.11 | | | | | | | | | | | (94) ~ (all_10_1 = e20) % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | REDUCE: (39), (91) imply: % 64.36/10.11 | | | | | | | | | | | (95) op2(e20, e22) = all_22_26 % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | BETA: splitting (87) gives: % 64.36/10.11 | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | Case 1: % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | (96) all_26_11 = e22 % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | COMBINE_EQS: (28), (96) imply: % 64.36/10.11 | | | | | | | | | | | | (97) all_14_14 = e22 % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | SIMP: (97) implies: % 64.36/10.11 | | | | | | | | | | | | (98) all_14_14 = e22 % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | COMBINE_EQS: (8), (98) imply: % 64.36/10.11 | | | | | | | | | | | | (99) all_22_29 = e22 % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | REDUCE: (27), (98) imply: % 64.36/10.11 | | | | | | | | | | | | (100) op2(e22, e21) = all_22_28 % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | REDUCE: (4), (98) imply: % 64.36/10.11 | | | | | | | | | | | | (101) op2(e21, e20) = e22 % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | BETA: splitting (29) gives: % 64.36/10.11 | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | Case 1: % 64.36/10.11 | | | | | | | | | | | | | % 64.36/10.11 | | | | | | | | | | | | | (102) all_18_15 = e22 % 64.36/10.11 | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | REF_CLOSE: (40), (69), (102) are inconsistent by sub-proof % 64.36/10.12 | | | | | | | | | | | | | #8. % 64.36/10.12 | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | Case 2: % 64.36/10.12 | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | (103) ~ (all_18_15 = e22) % 64.36/10.12 | | | | | | | | | | | | | (104) all_18_15 = e21 | all_18_15 = e20 % 64.36/10.12 | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | BETA: splitting (104) gives: % 64.36/10.12 | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | Case 1: % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | (105) all_18_15 = e21 % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | COMBINE_EQS: (40), (105) imply: % 64.36/10.12 | | | | | | | | | | | | | | (106) all_10_1 = e21 % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | SIMP: (106) implies: % 64.36/10.12 | | | | | | | | | | | | | | (107) all_10_1 = e21 % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | COMBINE_EQS: (20), (107) imply: % 64.36/10.12 | | | | | | | | | | | | | | (108) all_22_31 = e21 % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | REDUCE: (42), (107) imply: % 64.36/10.12 | | | | | | | | | | | | | | (109) ~ (e23 = e21) % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | SIMP: (109) implies: % 64.36/10.12 | | | | | | | | | | | | | | (110) ~ (e23 = e21) % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | REDUCE: (69), (107) imply: % 64.36/10.12 | | | | | | | | | | | | | | (111) ~ (e22 = e21) % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | SIMP: (111) implies: % 64.36/10.12 | | | | | | | | | | | | | | (112) ~ (e22 = e21) % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | REDUCE: (3), (107) imply: % 64.36/10.12 | | | | | | | | | | | | | | (113) op2(e21, e20) = all_22_30 % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | BETA: splitting (51) gives: % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | Case 1: % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | (114) all_18_8 = e21 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | COMBINE_EQS: (33), (114) imply: % 64.36/10.12 | | | | | | | | | | | | | | | (115) all_14_2 = e21 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | SIMP: (115) implies: % 64.36/10.12 | | | | | | | | | | | | | | | (116) all_14_2 = e21 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | REDUCE: (7), (116) imply: % 64.36/10.12 | | | | | | | | | | | | | | | (117) $false % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | CLOSE: (117) is inconsistent. % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | Case 2: % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | (118) all_18_8 = e20 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | COMBINE_EQS: (33), (118) imply: % 64.36/10.12 | | | | | | | | | | | | | | | (119) all_14_2 = e20 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | SIMP: (119) implies: % 64.36/10.12 | | | | | | | | | | | | | | | (120) all_14_2 = e20 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | REDUCE: (36), (120) imply: % 64.36/10.12 | | | | | | | | | | | | | | | (121) ~ (e22 = e20) % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with e22, all_22_26, e22, e20, % 64.36/10.12 | | | | | | | | | | | | | | | simplifying with (71), (95) gives: % 64.36/10.12 | | | | | | | | | | | | | | | (122) all_22_26 = e22 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with e22, all_22_30, e20, e21, % 64.36/10.12 | | | | | | | | | | | | | | | simplifying with (101), (113) gives: % 64.36/10.12 | | | | | | | | | | | | | | | (123) all_22_30 = e22 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with e23, all_22_28, e21, e22, % 64.36/10.12 | | | | | | | | | | | | | | | simplifying with (45), (100) gives: % 64.36/10.12 | | | | | | | | | | | | | | | (124) all_22_28 = e23 % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | BETA: splitting (16) gives: % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | Case 1: % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | (125) all_22_24 = all_22_25 % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (125) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | (126) all_22_25 = e21 % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (126) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | (127) e23 = e21 % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | REDUCE: (110), (127) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | (128) $false % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | CLOSE: (128) is inconsistent. % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | Case 2: % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | (129) all_22_26 = all_22_27 | all_22_28 = all_22_29 | % 64.36/10.12 | | | | | | | | | | | | | | | | all_22_30 = all_22_31 % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | BETA: splitting (129) gives: % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | Case 1: % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | (130) all_22_26 = all_22_27 % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (130) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | | (131) all_22_27 = e22 % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (131) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | | (132) e22 = e20 % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | SIMP: (132) implies: % 64.36/10.12 | | | | | | | | | | | | | | | | | (133) e22 = e20 % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | REDUCE: (30), (133) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | | (134) $false % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | CLOSE: (134) is inconsistent. % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | Case 2: % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | (135) all_22_28 = all_22_29 | all_22_30 = all_22_31 % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | BETA: splitting (135) gives: % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | Case 1: % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | (136) all_22_28 = all_22_29 % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (136) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | | | (137) all_22_29 = e23 % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (137) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | | | (138) e23 = e22 % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | SIMP: (138) implies: % 64.36/10.12 | | | | | | | | | | | | | | | | | | (139) e23 = e22 % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | REDUCE: (32), (139) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | | | (140) $false % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | CLOSE: (140) is inconsistent. % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | Case 2: % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | (141) all_22_30 = all_22_31 % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (141) imply: % 64.36/10.12 | | | | | | | | | | | | | | | | | | (142) all_22_31 = e22 % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (112), (142) are inconsistent by sub-proof % 64.36/10.12 | | | | | | | | | | | | | | | | | | #71. % 64.36/10.12 | | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | Case 2: % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | (143) all_18_15 = e20 % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | | REF_CLOSE: (40), (94), (143) are inconsistent by sub-proof % 64.36/10.12 | | | | | | | | | | | | | | #38. % 64.36/10.12 | | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | Case 2: % 64.36/10.12 | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | (144) all_26_15 = e22 % 64.36/10.12 | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | COMBINE_EQS: (14), (144) imply: % 64.36/10.12 | | | | | | | | | | | | (145) all_10_1 = e22 % 64.36/10.12 | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | SIMP: (145) implies: % 64.36/10.12 | | | | | | | | | | | | (146) all_10_1 = e22 % 64.36/10.12 | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | REDUCE: (69), (146) imply: % 64.36/10.12 | | | | | | | | | | | | (147) $false % 64.36/10.12 | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | | CLOSE: (147) is inconsistent. % 64.36/10.12 | | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | | % 64.36/10.12 | | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | | % 64.36/10.12 | | | | | | | | | End of split % 64.36/10.12 | | | | | | | | | % 64.36/10.12 | | | | | | | | End of split % 64.36/10.12 | | | | | | | | % 64.36/10.12 | | | | | | | End of split % 64.36/10.12 | | | | | | | % 64.36/10.12 | | | | | | Case 2: % 64.36/10.12 | | | | | | | % 64.36/10.12 | | | | | | | (148) all_18_5 = e20 % 64.36/10.12 | | | | | | | % 64.36/10.12 | | | | | | | COMBINE_EQS: (24), (148) imply: % 64.36/10.12 | | | | | | | (149) all_6_1 = e20 % 64.36/10.12 | | | | | | | % 64.36/10.12 | | | | | | | REDUCE: (31), (149) imply: % 64.36/10.12 | | | | | | | (150) $false % 64.36/10.12 | | | | | | | % 64.36/10.12 | | | | | | | CLOSE: (150) is inconsistent. % 64.36/10.12 | | | | | | | % 64.36/10.12 | | | | | | End of split % 64.36/10.12 | | | | | | % 64.36/10.12 | | | | | End of split % 64.36/10.12 | | | | | % 64.36/10.12 | | | | End of split % 64.36/10.12 | | | | % 64.36/10.12 | | | End of split % 64.36/10.12 | | | % 64.36/10.12 | | End of split % 64.36/10.12 | | % 64.36/10.12 | End of split % 64.36/10.12 | % 64.36/10.12 End of proof % 64.36/10.12 % 64.36/10.12 Sub-proof #8 shows that the following formulas are inconsistent: % 64.36/10.12 ---------------------------------------------------------------- % 64.36/10.12 (1) all_18_15 = all_10_1 % 64.36/10.12 (2) all_18_15 = e22 % 64.36/10.12 (3) ~ (all_10_1 = e22) % 64.36/10.12 % 64.36/10.12 Begin of proof % 64.36/10.12 | % 64.36/10.12 | COMBINE_EQS: (1), (2) imply: % 64.36/10.12 | (4) all_10_1 = e22 % 64.36/10.12 | % 64.36/10.12 | SIMP: (4) implies: % 64.36/10.12 | (5) all_10_1 = e22 % 64.36/10.12 | % 64.36/10.12 | REDUCE: (3), (5) imply: % 64.36/10.12 | (6) $false % 64.36/10.12 | % 64.36/10.12 | CLOSE: (6) is inconsistent. % 64.36/10.12 | % 64.36/10.12 End of proof % 64.36/10.12 % 64.36/10.12 Sub-proof #9 shows that the following formulas are inconsistent: % 64.36/10.12 ---------------------------------------------------------------- % 64.36/10.12 (1) all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.36/10.12 (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23) % 64.36/10.12 (2) all_22_7 = e23 % 64.36/10.12 (3) ~ (e23 = e20) % 64.36/10.12 % 64.36/10.12 Begin of proof % 64.36/10.12 | % 64.36/10.12 | ALPHA: (1) implies: % 64.36/10.12 | (4) all_22_7 = e20 % 64.36/10.12 | % 64.36/10.12 | COMBINE_EQS: (2), (4) imply: % 64.36/10.12 | (5) e23 = e20 % 64.36/10.12 | % 64.36/10.12 | SIMP: (5) implies: % 64.36/10.12 | (6) e23 = e20 % 64.36/10.12 | % 64.36/10.12 | REDUCE: (3), (6) imply: % 64.36/10.12 | (7) $false % 64.36/10.12 | % 64.36/10.12 | CLOSE: (7) is inconsistent. % 64.36/10.12 | % 64.36/10.12 End of proof % 64.36/10.12 % 64.36/10.12 Sub-proof #10 shows that the following formulas are inconsistent: % 64.36/10.12 ---------------------------------------------------------------- % 64.36/10.12 (1) all_26_7 = all_14_6 % 64.36/10.12 (2) ~ (all_14_7 = e23) % 64.36/10.12 (3) ~ (all_14_6 = e23) % 64.36/10.12 (4) all_26_7 = e23 | all_26_13 = e23 % 64.36/10.12 (5) all_26_13 = all_14_7 % 64.36/10.12 % 64.36/10.12 Begin of proof % 64.36/10.12 | % 64.36/10.12 | BETA: splitting (4) gives: % 64.36/10.12 | % 64.36/10.12 | Case 1: % 64.36/10.12 | | % 64.36/10.12 | | (6) all_26_7 = e23 % 64.36/10.12 | | % 64.36/10.12 | | COMBINE_EQS: (1), (6) imply: % 64.36/10.12 | | (7) all_14_6 = e23 % 64.36/10.12 | | % 64.36/10.12 | | SIMP: (7) implies: % 64.36/10.12 | | (8) all_14_6 = e23 % 64.36/10.12 | | % 64.36/10.12 | | REDUCE: (3), (8) imply: % 64.36/10.12 | | (9) $false % 64.36/10.12 | | % 64.36/10.12 | | CLOSE: (9) is inconsistent. % 64.36/10.12 | | % 64.36/10.12 | Case 2: % 64.36/10.12 | | % 64.36/10.12 | | (10) all_26_13 = e23 % 64.36/10.12 | | % 64.36/10.12 | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #11. % 64.36/10.12 | | % 64.36/10.12 | End of split % 64.36/10.12 | % 64.36/10.12 End of proof % 64.36/10.12 % 64.36/10.12 Sub-proof #11 shows that the following formulas are inconsistent: % 64.36/10.12 ---------------------------------------------------------------- % 64.60/10.13 (1) all_26_13 = all_14_7 % 64.60/10.13 (2) all_26_13 = e23 % 64.60/10.13 (3) ~ (all_14_7 = e23) % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | COMBINE_EQS: (1), (2) imply: % 64.60/10.13 | (4) all_14_7 = e23 % 64.60/10.13 | % 64.60/10.13 | SIMP: (4) implies: % 64.60/10.13 | (5) all_14_7 = e23 % 64.60/10.13 | % 64.60/10.13 | REDUCE: (3), (5) imply: % 64.60/10.13 | (6) $false % 64.60/10.13 | % 64.60/10.13 | CLOSE: (6) is inconsistent. % 64.60/10.13 | % 64.60/10.13 End of proof % 64.60/10.13 % 64.60/10.13 Sub-proof #12 shows that the following formulas are inconsistent: % 64.60/10.13 ---------------------------------------------------------------- % 64.60/10.13 (1) all_26_2 = all_14_1 % 64.60/10.13 (2) all_26_2 = e23 % 64.60/10.13 (3) ~ (all_14_1 = e23) % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | COMBINE_EQS: (1), (2) imply: % 64.60/10.13 | (4) all_14_1 = e23 % 64.60/10.13 | % 64.60/10.13 | SIMP: (4) implies: % 64.60/10.13 | (5) all_14_1 = e23 % 64.60/10.13 | % 64.60/10.13 | REDUCE: (3), (5) imply: % 64.60/10.13 | (6) $false % 64.60/10.13 | % 64.60/10.13 | CLOSE: (6) is inconsistent. % 64.60/10.13 | % 64.60/10.13 End of proof % 64.60/10.13 % 64.60/10.13 Sub-proof #13 shows that the following formulas are inconsistent: % 64.60/10.13 ---------------------------------------------------------------- % 64.60/10.13 (1) all_26_3 = all_6_1 % 64.60/10.13 (2) all_26_3 = e23 % 64.60/10.13 (3) ~ (all_6_1 = e23) % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | COMBINE_EQS: (1), (2) imply: % 64.60/10.13 | (4) all_6_1 = e23 % 64.60/10.13 | % 64.60/10.13 | SIMP: (4) implies: % 64.60/10.13 | (5) all_6_1 = e23 % 64.60/10.13 | % 64.60/10.13 | REDUCE: (3), (5) imply: % 64.60/10.13 | (6) $false % 64.60/10.13 | % 64.60/10.13 | CLOSE: (6) is inconsistent. % 64.60/10.13 | % 64.60/10.13 End of proof % 64.60/10.13 % 64.60/10.13 Sub-proof #14 shows that the following formulas are inconsistent: % 64.60/10.13 ---------------------------------------------------------------- % 64.60/10.13 (1) all_26_8 = e23 | all_26_11 = e23 % 64.60/10.13 (2) ~ (all_4_1 = e23) % 64.60/10.13 (3) ~ (all_14_14 = e23) % 64.60/10.13 (4) all_26_8 = all_4_1 % 64.60/10.13 (5) all_26_11 = all_14_14 % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | BETA: splitting (1) gives: % 64.60/10.13 | % 64.60/10.13 | Case 1: % 64.60/10.13 | | % 64.60/10.13 | | (6) all_26_8 = e23 % 64.60/10.13 | | % 64.60/10.13 | | COMBINE_EQS: (4), (6) imply: % 64.60/10.13 | | (7) all_4_1 = e23 % 64.60/10.13 | | % 64.60/10.13 | | SIMP: (7) implies: % 64.60/10.13 | | (8) all_4_1 = e23 % 64.60/10.13 | | % 64.60/10.13 | | REDUCE: (2), (8) imply: % 64.60/10.13 | | (9) $false % 64.60/10.13 | | % 64.60/10.13 | | CLOSE: (9) is inconsistent. % 64.60/10.13 | | % 64.60/10.13 | Case 2: % 64.60/10.13 | | % 64.60/10.13 | | (10) all_26_11 = e23 % 64.60/10.13 | | % 64.60/10.13 | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #61. % 64.60/10.13 | | % 64.60/10.13 | End of split % 64.60/10.13 | % 64.60/10.13 End of proof % 64.60/10.13 % 64.60/10.13 Sub-proof #15 shows that the following formulas are inconsistent: % 64.60/10.13 ---------------------------------------------------------------- % 64.60/10.13 (1) all_22_13 = e23 % 64.60/10.13 (2) ~ (all_14_7 = e20) % 64.60/10.13 (3) all_22_9 = e20 % 64.60/10.13 (4) (all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_3 = e23) & ~ % 64.60/10.13 (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) | % 64.60/10.13 (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.60/10.13 (all_22_19 = e21) & ~ (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 64.60/10.13 (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.60/10.13 (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22)) % 64.60/10.13 (5) ~ (e23 = e21) % 64.60/10.13 (6) ~ (e23 = e20) % 64.60/10.13 (7) all_22_15 = all_14_7 % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | BETA: splitting (4) gives: % 64.60/10.13 | % 64.60/10.13 | Case 1: % 64.60/10.13 | | % 64.60/10.13 | | (8) all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_3 = e23) & ~ % 64.60/10.13 | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20) % 64.60/10.13 | | % 64.60/10.13 | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #78. % 64.60/10.13 | | % 64.60/10.13 | Case 2: % 64.60/10.13 | | % 64.60/10.13 | | (9) (all_22_13 = e21 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.60/10.13 | | (all_22_19 = e21) & ~ (all_22_21 = e22) & ~ (all_22_27 = e20)) | % 64.60/10.13 | | (all_22_15 = e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.60/10.13 | | (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22)) % 64.60/10.13 | | % 64.60/10.13 | | BETA: splitting (9) gives: % 64.60/10.13 | | % 64.60/10.13 | | Case 1: % 64.60/10.13 | | | % 64.60/10.13 | | | (10) all_22_13 = e21 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.60/10.13 | | | (all_22_19 = e21) & ~ (all_22_21 = e22) & ~ (all_22_27 = e20) % 64.60/10.13 | | | % 64.60/10.13 | | | ALPHA: (10) implies: % 64.60/10.13 | | | (11) all_22_13 = e21 % 64.60/10.13 | | | % 64.60/10.13 | | | REF_CLOSE: (1), (5), (11) are inconsistent by sub-proof #17. % 64.60/10.13 | | | % 64.60/10.13 | | Case 2: % 64.60/10.13 | | | % 64.60/10.13 | | | (12) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.60/10.13 | | | (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22) % 64.60/10.13 | | | % 64.60/10.13 | | | REF_CLOSE: (2), (7), (12) are inconsistent by sub-proof #16. % 64.60/10.13 | | | % 64.60/10.13 | | End of split % 64.60/10.13 | | % 64.60/10.13 | End of split % 64.60/10.13 | % 64.60/10.13 End of proof % 64.60/10.13 % 64.60/10.13 Sub-proof #16 shows that the following formulas are inconsistent: % 64.60/10.13 ---------------------------------------------------------------- % 64.60/10.13 (1) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.60/10.13 (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22) % 64.60/10.13 (2) all_22_15 = all_14_7 % 64.60/10.13 (3) ~ (all_14_7 = e20) % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | ALPHA: (1) implies: % 64.60/10.13 | (4) all_22_15 = e20 % 64.60/10.13 | % 64.60/10.13 | COMBINE_EQS: (2), (4) imply: % 64.60/10.13 | (5) all_14_7 = e20 % 64.60/10.13 | % 64.60/10.13 | SIMP: (5) implies: % 64.60/10.13 | (6) all_14_7 = e20 % 64.60/10.13 | % 64.60/10.13 | REDUCE: (3), (6) imply: % 64.60/10.13 | (7) $false % 64.60/10.13 | % 64.60/10.13 | CLOSE: (7) is inconsistent. % 64.60/10.13 | % 64.60/10.13 End of proof % 64.60/10.13 % 64.60/10.13 Sub-proof #17 shows that the following formulas are inconsistent: % 64.60/10.13 ---------------------------------------------------------------- % 64.60/10.13 (1) all_22_13 = e23 % 64.60/10.13 (2) all_22_13 = e21 % 64.60/10.13 (3) ~ (e23 = e21) % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | COMBINE_EQS: (1), (2) imply: % 64.60/10.13 | (4) e23 = e21 % 64.60/10.13 | % 64.60/10.13 | SIMP: (4) implies: % 64.60/10.13 | (5) e23 = e21 % 64.60/10.13 | % 64.60/10.13 | REDUCE: (3), (5) imply: % 64.60/10.13 | (6) $false % 64.60/10.13 | % 64.60/10.13 | CLOSE: (6) is inconsistent. % 64.60/10.13 | % 64.60/10.13 End of proof % 64.60/10.13 % 64.60/10.13 Sub-proof #18 shows that the following formulas are inconsistent: % 64.60/10.13 ---------------------------------------------------------------- % 64.60/10.13 (1) ~ (e22 = e21) % 64.60/10.13 (2) all_26_12 = e20 % 64.60/10.13 (3) all_26_0 = e21 % 64.60/10.13 (4) all_26_2 = e23 % 64.60/10.13 (5) ~ (e22 = e20) % 64.60/10.13 (6) ~ (e23 = e22) % 64.60/10.13 (7) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 64.60/10.13 (8) ~ (all_14_2 = e22) % 64.60/10.13 (9) all_26_6 = all_14_2 % 64.60/10.13 % 64.60/10.13 Begin of proof % 64.60/10.13 | % 64.60/10.13 | BETA: splitting (7) gives: % 64.60/10.13 | % 64.60/10.13 | Case 1: % 64.60/10.13 | | % 64.60/10.13 | | (10) all_26_0 = e22 % 64.60/10.13 | | % 64.60/10.13 | | COMBINE_EQS: (3), (10) imply: % 64.60/10.13 | | (11) e22 = e21 % 64.60/10.13 | | % 64.60/10.13 | | REDUCE: (1), (11) imply: % 64.60/10.13 | | (12) $false % 64.60/10.13 | | % 64.60/10.13 | | CLOSE: (12) is inconsistent. % 64.60/10.13 | | % 64.60/10.13 | Case 2: % 64.60/10.13 | | % 64.60/10.13 | | (13) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 64.60/10.13 | | % 64.60/10.13 | | BETA: splitting (13) gives: % 64.60/10.13 | | % 64.60/10.13 | | Case 1: % 64.60/10.13 | | | % 64.60/10.13 | | | (14) all_26_2 = e22 % 64.60/10.13 | | | % 64.60/10.13 | | | COMBINE_EQS: (4), (14) imply: % 64.60/10.13 | | | (15) e23 = e22 % 64.60/10.13 | | | % 64.60/10.13 | | | SIMP: (15) implies: % 64.60/10.13 | | | (16) e23 = e22 % 64.60/10.13 | | | % 64.60/10.13 | | | REDUCE: (6), (16) imply: % 64.60/10.13 | | | (17) $false % 64.60/10.13 | | | % 64.60/10.13 | | | CLOSE: (17) is inconsistent. % 64.60/10.13 | | | % 64.60/10.13 | | Case 2: % 64.60/10.13 | | | % 64.60/10.13 | | | (18) all_26_6 = e22 | all_26_12 = e22 % 64.60/10.13 | | | % 64.60/10.13 | | | BETA: splitting (18) gives: % 64.60/10.13 | | | % 64.60/10.13 | | | Case 1: % 64.60/10.13 | | | | % 64.60/10.13 | | | | (19) all_26_6 = e22 % 64.60/10.13 | | | | % 64.60/10.13 | | | | COMBINE_EQS: (9), (19) imply: % 64.60/10.13 | | | | (20) all_14_2 = e22 % 64.60/10.13 | | | | % 64.60/10.13 | | | | SIMP: (20) implies: % 64.60/10.13 | | | | (21) all_14_2 = e22 % 64.60/10.13 | | | | % 64.60/10.13 | | | | REDUCE: (8), (21) imply: % 64.60/10.13 | | | | (22) $false % 64.60/10.13 | | | | % 64.60/10.13 | | | | CLOSE: (22) is inconsistent. % 64.60/10.13 | | | | % 64.60/10.13 | | | Case 2: % 64.60/10.13 | | | | % 64.60/10.14 | | | | (23) all_26_12 = e22 % 64.60/10.14 | | | | % 64.60/10.14 | | | | COMBINE_EQS: (2), (23) imply: % 64.60/10.14 | | | | (24) e22 = e20 % 64.60/10.14 | | | | % 64.60/10.14 | | | | REDUCE: (5), (24) imply: % 64.60/10.14 | | | | (25) $false % 64.60/10.14 | | | | % 64.60/10.14 | | | | CLOSE: (25) is inconsistent. % 64.60/10.14 | | | | % 64.60/10.14 | | | End of split % 64.60/10.14 | | | % 64.60/10.14 | | End of split % 64.60/10.14 | | % 64.60/10.14 | End of split % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #19 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.60/10.14 (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20) % 64.60/10.14 (2) all_22_5 = all_14_2 % 64.60/10.14 (3) ~ (all_14_2 = e21) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | ALPHA: (1) implies: % 64.60/10.14 | (4) all_22_5 = e21 % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (2), (4) imply: % 64.60/10.14 | (5) all_14_2 = e21 % 64.60/10.14 | % 64.60/10.14 | SIMP: (5) implies: % 64.60/10.14 | (6) all_14_2 = e21 % 64.60/10.14 | % 64.60/10.14 | REDUCE: (3), (6) imply: % 64.60/10.14 | (7) $false % 64.60/10.14 | % 64.60/10.14 | CLOSE: (7) is inconsistent. % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #20 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_18_8 = all_14_2 % 64.60/10.14 (2) all_18_8 = e23 % 64.60/10.14 (3) ~ (all_14_2 = e23) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (1), (2) imply: % 64.60/10.14 | (4) all_14_2 = e23 % 64.60/10.14 | % 64.60/10.14 | SIMP: (4) implies: % 64.60/10.14 | (5) all_14_2 = e23 % 64.60/10.14 | % 64.60/10.14 | REDUCE: (3), (5) imply: % 64.60/10.14 | (6) $false % 64.60/10.14 | % 64.60/10.14 | CLOSE: (6) is inconsistent. % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #21 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_26_6 = all_14_2 % 64.60/10.14 (2) all_26_6 = e23 % 64.60/10.14 (3) ~ (all_14_2 = e23) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (1), (2) imply: % 64.60/10.14 | (4) all_14_2 = e23 % 64.60/10.14 | % 64.60/10.14 | SIMP: (4) implies: % 64.60/10.14 | (5) all_14_2 = e23 % 64.60/10.14 | % 64.60/10.14 | REDUCE: (3), (5) imply: % 64.60/10.14 | (6) $false % 64.60/10.14 | % 64.60/10.14 | CLOSE: (6) is inconsistent. % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #22 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) ~ (all_14_7 = e20) % 64.60/10.14 (2) ~ (e23 = e20) % 64.60/10.14 (3) all_26_13 = e20 | all_26_14 = e20 % 64.60/10.14 (4) all_26_13 = all_14_7 % 64.60/10.14 (5) all_26_14 = e23 % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | BETA: splitting (3) gives: % 64.60/10.14 | % 64.60/10.14 | Case 1: % 64.60/10.14 | | % 64.60/10.14 | | (6) all_26_13 = e20 % 64.60/10.14 | | % 64.60/10.14 | | COMBINE_EQS: (4), (6) imply: % 64.60/10.14 | | (7) all_14_7 = e20 % 64.60/10.14 | | % 64.60/10.14 | | REDUCE: (1), (7) imply: % 64.60/10.14 | | (8) $false % 64.60/10.14 | | % 64.60/10.14 | | CLOSE: (8) is inconsistent. % 64.60/10.14 | | % 64.60/10.14 | Case 2: % 64.60/10.14 | | % 64.60/10.14 | | (9) all_26_14 = e20 % 64.60/10.14 | | % 64.60/10.14 | | COMBINE_EQS: (5), (9) imply: % 64.60/10.14 | | (10) e23 = e20 % 64.60/10.14 | | % 64.60/10.14 | | REDUCE: (2), (10) imply: % 64.60/10.14 | | (11) $false % 64.60/10.14 | | % 64.60/10.14 | | CLOSE: (11) is inconsistent. % 64.60/10.14 | | % 64.60/10.14 | End of split % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #23 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_22_6 = all_10_1 % 64.60/10.14 (2) all_22_6 = all_22_7 % 64.60/10.14 (3) all_22_7 = e20 % 64.60/10.14 (4) ~ (all_10_1 = e20) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (1), (2) imply: % 64.60/10.14 | (5) all_22_7 = all_10_1 % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (3), (5) imply: % 64.60/10.14 | (6) all_10_1 = e20 % 64.60/10.14 | % 64.60/10.14 | SIMP: (6) implies: % 64.60/10.14 | (7) all_10_1 = e20 % 64.60/10.14 | % 64.60/10.14 | REDUCE: (4), (7) imply: % 64.60/10.14 | (8) $false % 64.60/10.14 | % 64.60/10.14 | CLOSE: (8) is inconsistent. % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #24 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_18_13 = e21 | all_18_13 = e20 % 64.60/10.14 (2) all_18_13 = all_14_7 % 64.60/10.14 (3) ~ (all_14_7 = e21) % 64.60/10.14 (4) ~ (all_14_7 = e20) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | BETA: splitting (1) gives: % 64.60/10.14 | % 64.60/10.14 | Case 1: % 64.60/10.14 | | % 64.60/10.14 | | (5) all_18_13 = e21 % 64.60/10.14 | | % 64.60/10.14 | | COMBINE_EQS: (2), (5) imply: % 64.60/10.14 | | (6) all_14_7 = e21 % 64.60/10.14 | | % 64.60/10.14 | | SIMP: (6) implies: % 64.60/10.14 | | (7) all_14_7 = e21 % 64.60/10.14 | | % 64.60/10.14 | | REDUCE: (3), (7) imply: % 64.60/10.14 | | (8) $false % 64.60/10.14 | | % 64.60/10.14 | | CLOSE: (8) is inconsistent. % 64.60/10.14 | | % 64.60/10.14 | Case 2: % 64.60/10.14 | | % 64.60/10.14 | | (9) all_18_13 = e20 % 64.60/10.14 | | % 64.60/10.14 | | COMBINE_EQS: (2), (9) imply: % 64.60/10.14 | | (10) all_14_7 = e20 % 64.60/10.14 | | % 64.60/10.14 | | SIMP: (10) implies: % 64.60/10.14 | | (11) all_14_7 = e20 % 64.60/10.14 | | % 64.60/10.14 | | REDUCE: (4), (11) imply: % 64.60/10.14 | | (12) $false % 64.60/10.14 | | % 64.60/10.14 | | CLOSE: (12) is inconsistent. % 64.60/10.14 | | % 64.60/10.14 | End of split % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #25 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_18_12 = all_14_3 % 64.60/10.14 (2) ~ (all_14_3 = e20) % 64.60/10.14 (3) ~ (all_14_3 = e22) % 64.60/10.14 (4) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20 % 64.60/10.14 (5) ~ (all_14_3 = e21) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | BETA: splitting (4) gives: % 64.60/10.14 | % 64.60/10.14 | Case 1: % 64.60/10.14 | | % 64.60/10.14 | | (6) all_18_12 = e22 % 64.60/10.14 | | % 64.60/10.14 | | COMBINE_EQS: (1), (6) imply: % 64.60/10.14 | | (7) all_14_3 = e22 % 64.60/10.14 | | % 64.60/10.14 | | SIMP: (7) implies: % 64.60/10.14 | | (8) all_14_3 = e22 % 64.60/10.14 | | % 64.60/10.14 | | REDUCE: (3), (8) imply: % 64.60/10.14 | | (9) $false % 64.60/10.14 | | % 64.60/10.14 | | CLOSE: (9) is inconsistent. % 64.60/10.14 | | % 64.60/10.14 | Case 2: % 64.60/10.14 | | % 64.60/10.14 | | (10) all_18_12 = e21 | all_18_12 = e20 % 64.60/10.14 | | % 64.60/10.14 | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #74. % 64.60/10.14 | | % 64.60/10.14 | End of split % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #26 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_22_17 = e22 % 64.60/10.14 (2) all_22_23 = e23 % 64.60/10.14 (3) ~ (all_14_9 = e22) % 64.60/10.14 (4) ~ (e23 = e20) % 64.60/10.14 (5) all_22_31 = e20 % 64.60/10.14 (6) ~ (e23 = e22) % 64.60/10.14 (7) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) & ~ % 64.60/10.14 (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 64.60/10.14 (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & ~ % 64.60/10.14 (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 64.60/10.14 (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 64.60/10.14 (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = e21)) | % 64.60/10.14 (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = e23) & ~ % 64.60/10.14 (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.60/10.14 (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ % 64.60/10.14 (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.60/10.14 (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 64.60/10.14 (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) % 64.60/10.14 (8) all_22_19 = all_14_9 % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | BETA: splitting (7) gives: % 64.60/10.14 | % 64.60/10.14 | Case 1: % 64.60/10.14 | | % 64.60/10.14 | | (9) (all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) & ~ % 64.60/10.14 | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 64.60/10.14 | | (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & ~ % 64.60/10.14 | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | % 64.60/10.14 | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 64.60/10.14 | | (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = e21)) % 64.60/10.14 | | % 64.60/10.14 | | BETA: splitting (9) gives: % 64.60/10.14 | | % 64.60/10.14 | | Case 1: % 64.60/10.14 | | | % 64.60/10.14 | | | (10) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) & ~ % 64.60/10.14 | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20) % 64.60/10.14 | | | % 64.60/10.14 | | | REF_CLOSE: (1), (6), (10) are inconsistent by sub-proof #76. % 64.60/10.14 | | | % 64.60/10.14 | | Case 2: % 64.60/10.14 | | | % 64.60/10.14 | | | (11) (all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & ~ % 64.60/10.14 | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) % 64.60/10.14 | | | | (all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & % 64.60/10.14 | | | ~ (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = % 64.60/10.14 | | | e21)) % 64.60/10.14 | | | % 64.60/10.14 | | | BETA: splitting (11) gives: % 64.60/10.14 | | | % 64.60/10.14 | | | Case 1: % 64.60/10.14 | | | | % 64.60/10.14 | | | | (12) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & % 64.60/10.14 | | | | ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = % 64.60/10.14 | | | | e20) % 64.60/10.14 | | | | % 64.60/10.14 | | | | REF_CLOSE: (3), (8), (12) are inconsistent by sub-proof #27. % 64.60/10.14 | | | | % 64.60/10.14 | | | Case 2: % 64.60/10.14 | | | | % 64.60/10.14 | | | | (13) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & % 64.60/10.14 | | | | ~ (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = % 64.60/10.14 | | | | e21) % 64.60/10.14 | | | | % 64.60/10.14 | | | | ALPHA: (13) implies: % 64.60/10.14 | | | | (14) all_22_23 = e20 % 64.60/10.14 | | | | % 64.60/10.14 | | | | COMBINE_EQS: (2), (14) imply: % 64.60/10.14 | | | | (15) e23 = e20 % 64.60/10.14 | | | | % 64.60/10.14 | | | | SIMP: (15) implies: % 64.60/10.14 | | | | (16) e23 = e20 % 64.60/10.14 | | | | % 64.60/10.14 | | | | REDUCE: (4), (16) imply: % 64.60/10.14 | | | | (17) $false % 64.60/10.14 | | | | % 64.60/10.14 | | | | CLOSE: (17) is inconsistent. % 64.60/10.14 | | | | % 64.60/10.14 | | | End of split % 64.60/10.14 | | | % 64.60/10.14 | | End of split % 64.60/10.14 | | % 64.60/10.14 | Case 2: % 64.60/10.14 | | % 64.60/10.14 | | (18) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = e23) & ~ % 64.60/10.14 | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.60/10.14 | | (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ % 64.60/10.14 | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.60/10.14 | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 64.60/10.14 | | (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) % 64.60/10.14 | | % 64.60/10.14 | | REF_CLOSE: (5), (18) are inconsistent by sub-proof #75. % 64.60/10.14 | | % 64.60/10.14 | End of split % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #27 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & ~ % 64.60/10.14 (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20) % 64.60/10.14 (2) all_22_19 = all_14_9 % 64.60/10.14 (3) ~ (all_14_9 = e22) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | ALPHA: (1) implies: % 64.60/10.14 | (4) all_22_19 = e22 % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (2), (4) imply: % 64.60/10.14 | (5) all_14_9 = e22 % 64.60/10.14 | % 64.60/10.14 | SIMP: (5) implies: % 64.60/10.14 | (6) all_14_9 = e22 % 64.60/10.14 | % 64.60/10.14 | REDUCE: (3), (6) imply: % 64.60/10.14 | (7) $false % 64.60/10.14 | % 64.60/10.14 | CLOSE: (7) is inconsistent. % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #28 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_22_3 = e22 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.60/10.14 (all_22_11 = e23) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20) % 64.60/10.14 (2) all_22_3 = e20 % 64.60/10.14 (3) ~ (e22 = e20) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | ALPHA: (1) implies: % 64.60/10.14 | (4) all_22_3 = e22 % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (2), (4) imply: % 64.60/10.14 | (5) e22 = e20 % 64.60/10.14 | % 64.60/10.14 | REDUCE: (3), (5) imply: % 64.60/10.14 | (6) $false % 64.60/10.14 | % 64.60/10.14 | CLOSE: (6) is inconsistent. % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #29 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_26_14 = all_14_11 % 64.60/10.14 (2) all_26_14 = e23 % 64.60/10.14 (3) ~ (all_14_11 = e23) % 64.60/10.14 % 64.60/10.14 Begin of proof % 64.60/10.14 | % 64.60/10.14 | COMBINE_EQS: (1), (2) imply: % 64.60/10.14 | (4) all_14_11 = e23 % 64.60/10.14 | % 64.60/10.14 | SIMP: (4) implies: % 64.60/10.14 | (5) all_14_11 = e23 % 64.60/10.14 | % 64.60/10.14 | REDUCE: (3), (5) imply: % 64.60/10.14 | (6) $false % 64.60/10.14 | % 64.60/10.14 | CLOSE: (6) is inconsistent. % 64.60/10.14 | % 64.60/10.14 End of proof % 64.60/10.14 % 64.60/10.14 Sub-proof #30 shows that the following formulas are inconsistent: % 64.60/10.14 ---------------------------------------------------------------- % 64.60/10.14 (1) all_26_2 = all_14_1 % 64.60/10.14 (2) ~ (all_14_1 = e23) % 64.60/10.14 (3) all_26_0 = e21 % 64.60/10.14 (4) ~ (e23 = e21) % 64.60/10.15 (5) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23 % 64.60/10.15 (6) all_26_12 = all_14_3 % 64.60/10.15 (7) ~ (all_26_6 = e23) % 64.60/10.15 (8) all_26_6 = all_14_2 % 64.60/10.15 (9) ~ (all_14_3 = e23) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | REDUCE: (7), (8) imply: % 64.60/10.15 | (10) ~ (all_14_2 = e23) % 64.60/10.15 | % 64.60/10.15 | BETA: splitting (5) gives: % 64.60/10.15 | % 64.60/10.15 | Case 1: % 64.60/10.15 | | % 64.60/10.15 | | (11) all_26_0 = e23 % 64.60/10.15 | | % 64.60/10.15 | | REF_CLOSE: (3), (4), (11) are inconsistent by sub-proof #134. % 64.60/10.15 | | % 64.60/10.15 | Case 2: % 64.60/10.15 | | % 64.60/10.15 | | (12) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23 % 64.60/10.15 | | % 64.60/10.15 | | BETA: splitting (12) gives: % 64.60/10.15 | | % 64.60/10.15 | | Case 1: % 64.60/10.15 | | | % 64.60/10.15 | | | (13) all_26_2 = e23 % 64.60/10.15 | | | % 64.60/10.15 | | | COMBINE_EQS: (1), (13) imply: % 64.60/10.15 | | | (14) all_14_1 = e23 % 64.60/10.15 | | | % 64.60/10.15 | | | REDUCE: (2), (14) imply: % 64.60/10.15 | | | (15) $false % 64.60/10.15 | | | % 64.60/10.15 | | | CLOSE: (15) is inconsistent. % 64.60/10.15 | | | % 64.60/10.15 | | Case 2: % 64.60/10.15 | | | % 64.60/10.15 | | | (16) all_26_6 = e23 | all_26_12 = e23 % 64.60/10.15 | | | % 64.60/10.15 | | | REF_CLOSE: (6), (8), (9), (10), (16) are inconsistent by sub-proof #31. % 64.60/10.15 | | | % 64.60/10.15 | | End of split % 64.60/10.15 | | % 64.60/10.15 | End of split % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #31 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_26_6 = e23 | all_26_12 = e23 % 64.60/10.15 (2) ~ (all_14_2 = e23) % 64.60/10.15 (3) all_26_12 = all_14_3 % 64.60/10.15 (4) all_26_6 = all_14_2 % 64.60/10.15 (5) ~ (all_14_3 = e23) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | BETA: splitting (1) gives: % 64.60/10.15 | % 64.60/10.15 | Case 1: % 64.60/10.15 | | % 64.60/10.15 | | (6) all_26_6 = e23 % 64.60/10.15 | | % 64.60/10.15 | | COMBINE_EQS: (4), (6) imply: % 64.60/10.15 | | (7) all_14_2 = e23 % 64.60/10.15 | | % 64.60/10.15 | | REDUCE: (2), (7) imply: % 64.60/10.15 | | (8) $false % 64.60/10.15 | | % 64.60/10.15 | | CLOSE: (8) is inconsistent. % 64.60/10.15 | | % 64.60/10.15 | Case 2: % 64.60/10.15 | | % 64.60/10.15 | | (9) all_26_12 = e23 % 64.60/10.15 | | % 64.60/10.15 | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #32. % 64.60/10.15 | | % 64.60/10.15 | End of split % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #32 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_26_12 = all_14_3 % 64.60/10.15 (2) all_26_12 = e23 % 64.60/10.15 (3) ~ (all_14_3 = e23) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_14_3 = e23 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_14_3 = e23 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #33 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_24_11 = all_12_14 % 64.60/10.15 (2) all_24_11 = e12 % 64.60/10.15 (3) ~ (all_12_14 = e12) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_12_14 = e12 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_12_14 = e12 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #34 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_16_7 = all_12_13 % 64.60/10.15 (2) all_16_7 = e11 % 64.60/10.15 (3) ~ (all_12_13 = e11) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_12_13 = e11 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_12_13 = e11 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #35 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_16_7 = all_12_13 % 64.60/10.15 (2) all_16_7 = e12 % 64.60/10.15 (3) ~ (all_12_13 = e12) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_12_13 = e12 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_12_13 = e12 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #36 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_4 = e21 | all_18_4 = e20 % 64.60/10.15 (2) all_18_4 = all_14_1 % 64.60/10.15 (3) ~ (all_14_1 = e21) % 64.60/10.15 (4) ~ (all_14_1 = e20) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | BETA: splitting (1) gives: % 64.60/10.15 | % 64.60/10.15 | Case 1: % 64.60/10.15 | | % 64.60/10.15 | | (5) all_18_4 = e21 % 64.60/10.15 | | % 64.60/10.15 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #45. % 64.60/10.15 | | % 64.60/10.15 | Case 2: % 64.60/10.15 | | % 64.60/10.15 | | (6) all_18_4 = e20 % 64.60/10.15 | | % 64.60/10.15 | | COMBINE_EQS: (2), (6) imply: % 64.60/10.15 | | (7) all_14_1 = e20 % 64.60/10.15 | | % 64.60/10.15 | | SIMP: (7) implies: % 64.60/10.15 | | (8) all_14_1 = e20 % 64.60/10.15 | | % 64.60/10.15 | | REDUCE: (4), (8) imply: % 64.60/10.15 | | (9) $false % 64.60/10.15 | | % 64.60/10.15 | | CLOSE: (9) is inconsistent. % 64.60/10.15 | | % 64.60/10.15 | End of split % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #37 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_15 = e21 | all_18_15 = e20 % 64.60/10.15 (2) all_18_15 = all_10_1 % 64.60/10.15 (3) ~ (all_10_1 = e21) % 64.60/10.15 (4) ~ (all_10_1 = e20) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | BETA: splitting (1) gives: % 64.60/10.15 | % 64.60/10.15 | Case 1: % 64.60/10.15 | | % 64.60/10.15 | | (5) all_18_15 = e21 % 64.60/10.15 | | % 64.60/10.15 | | COMBINE_EQS: (2), (5) imply: % 64.60/10.15 | | (6) all_10_1 = e21 % 64.60/10.15 | | % 64.60/10.15 | | SIMP: (6) implies: % 64.60/10.15 | | (7) all_10_1 = e21 % 64.60/10.15 | | % 64.60/10.15 | | REDUCE: (3), (7) imply: % 64.60/10.15 | | (8) $false % 64.60/10.15 | | % 64.60/10.15 | | CLOSE: (8) is inconsistent. % 64.60/10.15 | | % 64.60/10.15 | Case 2: % 64.60/10.15 | | % 64.60/10.15 | | (9) all_18_15 = e20 % 64.60/10.15 | | % 64.60/10.15 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #38. % 64.60/10.15 | | % 64.60/10.15 | End of split % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #38 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_15 = all_10_1 % 64.60/10.15 (2) all_18_15 = e20 % 64.60/10.15 (3) ~ (all_10_1 = e20) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_10_1 = e20 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_10_1 = e20 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #39 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_22_4 = e22 % 64.60/10.15 (2) all_22_4 = all_22_5 % 64.60/10.15 (3) all_22_5 = e23 % 64.60/10.15 (4) ~ (e23 = e22) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (5) all_22_5 = e22 % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (3), (5) imply: % 64.60/10.15 | (6) e23 = e22 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (4), (6) imply: % 64.60/10.15 | (7) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (7) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #40 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_26_3 = all_6_1 % 64.60/10.15 (2) all_26_3 = e22 % 64.60/10.15 (3) ~ (all_6_1 = e22) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_6_1 = e22 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_6_1 = e22 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #41 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_26_2 = e22 % 64.60/10.15 (2) all_26_2 = e20 % 64.60/10.15 (3) ~ (e22 = e20) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) e22 = e20 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) e22 = e20 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #42 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_7 = e21 | all_18_7 = e20 % 64.60/10.15 (2) all_18_7 = all_14_13 % 64.60/10.15 (3) ~ (all_14_13 = e21) % 64.60/10.15 (4) ~ (all_14_13 = e20) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | BETA: splitting (1) gives: % 64.60/10.15 | % 64.60/10.15 | Case 1: % 64.60/10.15 | | % 64.60/10.15 | | (5) all_18_7 = e21 % 64.60/10.15 | | % 64.60/10.15 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #43. % 64.60/10.15 | | % 64.60/10.15 | Case 2: % 64.60/10.15 | | % 64.60/10.15 | | (6) all_18_7 = e20 % 64.60/10.15 | | % 64.60/10.15 | | COMBINE_EQS: (2), (6) imply: % 64.60/10.15 | | (7) all_14_13 = e20 % 64.60/10.15 | | % 64.60/10.15 | | SIMP: (7) implies: % 64.60/10.15 | | (8) all_14_13 = e20 % 64.60/10.15 | | % 64.60/10.15 | | REDUCE: (4), (8) imply: % 64.60/10.15 | | (9) $false % 64.60/10.15 | | % 64.60/10.15 | | CLOSE: (9) is inconsistent. % 64.60/10.15 | | % 64.60/10.15 | End of split % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #43 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_7 = all_14_13 % 64.60/10.15 (2) all_18_7 = e21 % 64.60/10.15 (3) ~ (all_14_13 = e21) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_14_13 = e21 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_14_13 = e21 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #44 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_9 = e21 | all_18_9 = e20 % 64.60/10.15 (2) all_18_9 = all_14_6 % 64.60/10.15 (3) ~ (all_14_6 = e21) % 64.60/10.15 (4) ~ (all_14_6 = e20) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | BETA: splitting (1) gives: % 64.60/10.15 | % 64.60/10.15 | Case 1: % 64.60/10.15 | | % 64.60/10.15 | | (5) all_18_9 = e21 % 64.60/10.15 | | % 64.60/10.15 | | COMBINE_EQS: (2), (5) imply: % 64.60/10.15 | | (6) all_14_6 = e21 % 64.60/10.15 | | % 64.60/10.15 | | SIMP: (6) implies: % 64.60/10.15 | | (7) all_14_6 = e21 % 64.60/10.15 | | % 64.60/10.15 | | REDUCE: (3), (7) imply: % 64.60/10.15 | | (8) $false % 64.60/10.15 | | % 64.60/10.15 | | CLOSE: (8) is inconsistent. % 64.60/10.15 | | % 64.60/10.15 | Case 2: % 64.60/10.15 | | % 64.60/10.15 | | (9) all_18_9 = e20 % 64.60/10.15 | | % 64.60/10.15 | | COMBINE_EQS: (2), (9) imply: % 64.60/10.15 | | (10) all_14_6 = e20 % 64.60/10.15 | | % 64.60/10.15 | | SIMP: (10) implies: % 64.60/10.15 | | (11) all_14_6 = e20 % 64.60/10.15 | | % 64.60/10.15 | | REDUCE: (4), (11) imply: % 64.60/10.15 | | (12) $false % 64.60/10.15 | | % 64.60/10.15 | | CLOSE: (12) is inconsistent. % 64.60/10.15 | | % 64.60/10.15 | End of split % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #45 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_4 = all_14_1 % 64.60/10.15 (2) all_18_4 = e21 % 64.60/10.15 (3) ~ (all_14_1 = e21) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_14_1 = e21 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_14_1 = e21 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #46 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_18_4 = all_14_1 % 64.60/10.15 (2) all_18_4 = e22 % 64.60/10.15 (3) ~ (all_14_1 = e22) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (4) all_14_1 = e22 % 64.60/10.15 | % 64.60/10.15 | SIMP: (4) implies: % 64.60/10.15 | (5) all_14_1 = e22 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (3), (5) imply: % 64.60/10.15 | (6) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (6) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #47 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_22_0 = e23 % 64.60/10.15 (2) all_22_0 = all_22_1 % 64.60/10.15 (3) all_22_1 = e21 % 64.60/10.15 (4) ~ (e23 = e21) % 64.60/10.15 % 64.60/10.15 Begin of proof % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (1), (2) imply: % 64.60/10.15 | (5) all_22_1 = e23 % 64.60/10.15 | % 64.60/10.15 | COMBINE_EQS: (3), (5) imply: % 64.60/10.15 | (6) e23 = e21 % 64.60/10.15 | % 64.60/10.15 | SIMP: (6) implies: % 64.60/10.15 | (7) e23 = e21 % 64.60/10.15 | % 64.60/10.15 | REDUCE: (4), (7) imply: % 64.60/10.15 | (8) $false % 64.60/10.15 | % 64.60/10.15 | CLOSE: (8) is inconsistent. % 64.60/10.15 | % 64.60/10.15 End of proof % 64.60/10.15 % 64.60/10.15 Sub-proof #48 shows that the following formulas are inconsistent: % 64.60/10.15 ---------------------------------------------------------------- % 64.60/10.15 (1) all_24_13 = e13 % 64.69/10.15 (2) all_24_13 = e11 % 64.69/10.15 (3) ~ (e13 = e11) % 64.69/10.15 % 64.69/10.15 Begin of proof % 64.69/10.15 | % 64.69/10.15 | COMBINE_EQS: (1), (2) imply: % 64.69/10.15 | (4) e13 = e11 % 64.69/10.15 | % 64.69/10.15 | SIMP: (4) implies: % 64.69/10.15 | (5) e13 = e11 % 64.69/10.15 | % 64.69/10.15 | REDUCE: (3), (5) imply: % 64.69/10.15 | (6) $false % 64.69/10.15 | % 64.69/10.15 | CLOSE: (6) is inconsistent. % 64.69/10.15 | % 64.69/10.15 End of proof % 64.69/10.15 % 64.69/10.15 Sub-proof #49 shows that the following formulas are inconsistent: % 64.69/10.15 ---------------------------------------------------------------- % 64.69/10.15 (1) all_24_13 = e13 % 64.69/10.15 (2) all_24_13 = e10 % 64.69/10.15 (3) ~ (e13 = e10) % 64.69/10.15 % 64.69/10.15 Begin of proof % 64.69/10.15 | % 64.69/10.15 | COMBINE_EQS: (1), (2) imply: % 64.69/10.15 | (4) e13 = e10 % 64.69/10.15 | % 64.69/10.15 | SIMP: (4) implies: % 64.69/10.15 | (5) e13 = e10 % 64.69/10.15 | % 64.69/10.15 | REDUCE: (3), (5) imply: % 64.69/10.15 | (6) $false % 64.69/10.15 | % 64.69/10.15 | CLOSE: (6) is inconsistent. % 64.69/10.15 | % 64.69/10.15 End of proof % 64.69/10.15 % 64.69/10.15 Sub-proof #50 shows that the following formulas are inconsistent: % 64.69/10.15 ---------------------------------------------------------------- % 64.69/10.16 (1) all_24_10 = all_12_13 % 64.69/10.16 (2) all_24_10 = e10 % 64.69/10.16 (3) ~ (all_12_13 = e10) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_12_13 = e10 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_12_13 = e10 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #51 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_24_9 = e13 % 64.69/10.16 (2) all_24_9 = e10 % 64.69/10.16 (3) ~ (e13 = e10) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) e13 = e10 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) e13 = e10 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #52 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_24_12 = all_12_3 % 64.69/10.16 (2) all_24_12 = e10 % 64.69/10.16 (3) ~ (all_12_3 = e10) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_12_3 = e10 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_12_3 = e10 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #53 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_22_23 = e20 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ % 64.69/10.16 (all_22_21 = e21) & ~ (all_22_29 = e20) & ~ (all_22_31 = e21) % 64.69/10.16 (2) all_22_23 = all_14_11 % 64.69/10.16 (3) ~ (all_14_11 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | ALPHA: (1) implies: % 64.69/10.16 | (4) all_22_23 = e20 % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (2), (4) imply: % 64.69/10.16 | (5) all_14_11 = e20 % 64.69/10.16 | % 64.69/10.16 | SIMP: (5) implies: % 64.69/10.16 | (6) all_14_11 = e20 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (6) imply: % 64.69/10.16 | (7) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (7) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #54 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_11 = e21) & ~ % 64.69/10.16 (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20) % 64.69/10.16 (2) all_22_19 = e23 % 64.69/10.16 (3) ~ (e23 = e22) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | ALPHA: (1) implies: % 64.69/10.16 | (4) all_22_19 = e22 % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (2), (4) imply: % 64.69/10.16 | (5) e23 = e22 % 64.69/10.16 | % 64.69/10.16 | SIMP: (5) implies: % 64.69/10.16 | (6) e23 = e22 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (6) imply: % 64.69/10.16 | (7) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (7) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #55 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) ~ (all_6_1 = e22) % 64.69/10.16 (2) ~ (all_6_1 = e21) % 64.69/10.16 (3) all_18_5 = all_6_1 % 64.69/10.16 (4) ~ (all_6_1 = e20) % 64.69/10.16 (5) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | BETA: splitting (5) gives: % 64.69/10.16 | % 64.69/10.16 | Case 1: % 64.69/10.16 | | % 64.69/10.16 | | (6) all_18_5 = e22 % 64.69/10.16 | | % 64.69/10.16 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #57. % 64.69/10.16 | | % 64.69/10.16 | Case 2: % 64.69/10.16 | | % 64.69/10.16 | | (7) all_18_5 = e21 | all_18_5 = e20 % 64.69/10.16 | | % 64.69/10.16 | | BETA: splitting (7) gives: % 64.69/10.16 | | % 64.69/10.16 | | Case 1: % 64.69/10.16 | | | % 64.69/10.16 | | | (8) all_18_5 = e21 % 64.69/10.16 | | | % 64.69/10.16 | | | COMBINE_EQS: (3), (8) imply: % 64.69/10.16 | | | (9) all_6_1 = e21 % 64.69/10.16 | | | % 64.69/10.16 | | | SIMP: (9) implies: % 64.69/10.16 | | | (10) all_6_1 = e21 % 64.69/10.16 | | | % 64.69/10.16 | | | REDUCE: (2), (10) imply: % 64.69/10.16 | | | (11) $false % 64.69/10.16 | | | % 64.69/10.16 | | | CLOSE: (11) is inconsistent. % 64.69/10.16 | | | % 64.69/10.16 | | Case 2: % 64.69/10.16 | | | % 64.69/10.16 | | | (12) all_18_5 = e20 % 64.69/10.16 | | | % 64.69/10.16 | | | REF_CLOSE: (3), (4), (12) are inconsistent by sub-proof #56. % 64.69/10.16 | | | % 64.69/10.16 | | End of split % 64.69/10.16 | | % 64.69/10.16 | End of split % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #56 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_18_5 = all_6_1 % 64.69/10.16 (2) all_18_5 = e20 % 64.69/10.16 (3) ~ (all_6_1 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_6_1 = e20 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_6_1 = e20 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #57 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_18_5 = all_6_1 % 64.69/10.16 (2) all_18_5 = e22 % 64.69/10.16 (3) ~ (all_6_1 = e22) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_6_1 = e22 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_6_1 = e22 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #58 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_22_7 = e22 % 64.69/10.16 (2) (all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.69/10.16 (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20)) | % 64.69/10.16 (all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.69/10.16 (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23)) % 64.69/10.16 (3) all_22_5 = e23 % 64.69/10.16 (4) ~ (e23 = e21) % 64.69/10.16 (5) ~ (e22 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | BETA: splitting (2) gives: % 64.69/10.16 | % 64.69/10.16 | Case 1: % 64.69/10.16 | | % 64.69/10.16 | | (6) all_22_5 = e21 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.69/10.16 | | (all_22_17 = e21) & ~ (all_22_21 = e23) & ~ (all_22_25 = e20) % 64.69/10.16 | | % 64.69/10.16 | | ALPHA: (6) implies: % 64.69/10.16 | | (7) all_22_5 = e21 % 64.69/10.16 | | % 64.69/10.16 | | COMBINE_EQS: (3), (7) imply: % 64.69/10.16 | | (8) e23 = e21 % 64.69/10.16 | | % 64.69/10.16 | | SIMP: (8) implies: % 64.69/10.16 | | (9) e23 = e21 % 64.69/10.16 | | % 64.69/10.16 | | REDUCE: (4), (9) imply: % 64.69/10.16 | | (10) $false % 64.69/10.16 | | % 64.69/10.16 | | CLOSE: (10) is inconsistent. % 64.69/10.16 | | % 64.69/10.16 | Case 2: % 64.69/10.16 | | % 64.69/10.16 | | (11) all_22_7 = e20 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ % 64.69/10.16 | | (all_22_17 = e21) & ~ (all_22_25 = e20) & ~ (all_22_31 = e23) % 64.69/10.16 | | % 64.69/10.16 | | ALPHA: (11) implies: % 64.69/10.16 | | (12) all_22_7 = e20 % 64.69/10.16 | | % 64.69/10.16 | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #79. % 64.69/10.16 | | % 64.69/10.16 | End of split % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #59 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_18_7 = all_14_13 % 64.69/10.16 (2) all_18_7 = e23 % 64.69/10.16 (3) ~ (all_14_13 = e23) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_14_13 = e23 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_14_13 = e23 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #60 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_18_4 = all_14_1 % 64.69/10.16 (2) all_18_4 = e23 % 64.69/10.16 (3) ~ (all_14_1 = e23) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_14_1 = e23 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_14_1 = e23 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #61 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_26_11 = all_14_14 % 64.69/10.16 (2) all_26_11 = e23 % 64.69/10.16 (3) ~ (all_14_14 = e23) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_14_14 = e23 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_14_14 = e23 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #62 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_26_15 = e20 % 64.69/10.16 (2) ~ (all_14_11 = e22) % 64.69/10.16 (3) all_26_14 = e22 | all_26_15 = e22 % 64.69/10.16 (4) ~ (e22 = e20) % 64.69/10.16 (5) all_26_14 = all_14_11 % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | BETA: splitting (3) gives: % 64.69/10.16 | % 64.69/10.16 | Case 1: % 64.69/10.16 | | % 64.69/10.16 | | (6) all_26_14 = e22 % 64.69/10.16 | | % 64.69/10.16 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #65. % 64.69/10.16 | | % 64.69/10.16 | Case 2: % 64.69/10.16 | | % 64.69/10.16 | | (7) all_26_15 = e22 % 64.69/10.16 | | % 64.69/10.16 | | COMBINE_EQS: (1), (7) imply: % 64.69/10.16 | | (8) e22 = e20 % 64.69/10.16 | | % 64.69/10.16 | | REDUCE: (4), (8) imply: % 64.69/10.16 | | (9) $false % 64.69/10.16 | | % 64.69/10.16 | | CLOSE: (9) is inconsistent. % 64.69/10.16 | | % 64.69/10.16 | End of split % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #63 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_22_2 = e20 % 64.69/10.16 (2) all_22_2 = all_22_3 % 64.69/10.16 (3) all_22_3 = e23 % 64.69/10.16 (4) ~ (e23 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (5) all_22_3 = e20 % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (3), (5) imply: % 64.69/10.16 | (6) e23 = e20 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (4), (6) imply: % 64.69/10.16 | (7) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (7) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #64 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_22_0 = e22 % 64.69/10.16 (2) all_22_0 = all_22_1 % 64.69/10.16 (3) all_22_1 = e21 % 64.69/10.16 (4) ~ (e22 = e21) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (5) all_22_1 = e22 % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (3), (5) imply: % 64.69/10.16 | (6) e22 = e21 % 64.69/10.16 | % 64.69/10.16 | SIMP: (6) implies: % 64.69/10.16 | (7) e22 = e21 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (4), (7) imply: % 64.69/10.16 | (8) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (8) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #65 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_26_14 = all_14_11 % 64.69/10.16 (2) all_26_14 = e22 % 64.69/10.16 (3) ~ (all_14_11 = e22) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_14_11 = e22 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_14_11 = e22 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #66 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_26_13 = e23 % 64.69/10.16 (2) all_26_13 = e22 % 64.69/10.16 (3) ~ (e23 = e22) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) e23 = e22 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) e23 = e22 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #67 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_26_3 = all_6_1 % 64.69/10.16 (2) all_26_3 = e20 % 64.69/10.16 (3) ~ (all_6_1 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) all_6_1 = e20 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) all_6_1 = e20 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #68 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_26_2 = e23 % 64.69/10.16 (2) all_26_2 = e20 % 64.69/10.16 (3) ~ (e23 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) e23 = e20 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) e23 = e20 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #69 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_26_0 = e21 % 64.69/10.16 (2) all_26_0 = e20 % 64.69/10.16 (3) ~ (e21 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.16 | % 64.69/10.16 | COMBINE_EQS: (1), (2) imply: % 64.69/10.16 | (4) e21 = e20 % 64.69/10.16 | % 64.69/10.16 | SIMP: (4) implies: % 64.69/10.16 | (5) e21 = e20 % 64.69/10.16 | % 64.69/10.16 | REDUCE: (3), (5) imply: % 64.69/10.16 | (6) $false % 64.69/10.16 | % 64.69/10.16 | CLOSE: (6) is inconsistent. % 64.69/10.16 | % 64.69/10.16 End of proof % 64.69/10.16 % 64.69/10.16 Sub-proof #70 shows that the following formulas are inconsistent: % 64.69/10.16 ---------------------------------------------------------------- % 64.69/10.16 (1) all_18_11 = e21 | all_18_11 = e20 % 64.69/10.16 (2) all_18_11 = all_14_14 % 64.69/10.16 (3) ~ (all_14_14 = e21) % 64.69/10.16 (4) ~ (all_14_14 = e20) % 64.69/10.16 % 64.69/10.16 Begin of proof % 64.69/10.17 | % 64.69/10.17 | BETA: splitting (1) gives: % 64.69/10.17 | % 64.69/10.17 | Case 1: % 64.69/10.17 | | % 64.69/10.17 | | (5) all_18_11 = e21 % 64.69/10.17 | | % 64.69/10.17 | | COMBINE_EQS: (2), (5) imply: % 64.69/10.17 | | (6) all_14_14 = e21 % 64.69/10.17 | | % 64.69/10.17 | | SIMP: (6) implies: % 64.69/10.17 | | (7) all_14_14 = e21 % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (3), (7) imply: % 64.69/10.17 | | (8) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (8) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | Case 2: % 64.69/10.17 | | % 64.69/10.17 | | (9) all_18_11 = e20 % 64.69/10.17 | | % 64.69/10.17 | | COMBINE_EQS: (2), (9) imply: % 64.69/10.17 | | (10) all_14_14 = e20 % 64.69/10.17 | | % 64.69/10.17 | | SIMP: (10) implies: % 64.69/10.17 | | (11) all_14_14 = e20 % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (4), (11) imply: % 64.69/10.17 | | (12) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (12) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | End of split % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #71 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_22_31 = e22 % 64.69/10.17 (2) all_22_31 = e21 % 64.69/10.17 (3) ~ (e22 = e21) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) e22 = e21 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) e22 = e21 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #72 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_18_7 = all_14_13 % 64.69/10.17 (2) all_18_7 = e22 % 64.69/10.17 (3) ~ (all_14_13 = e22) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) all_14_13 = e22 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) all_14_13 = e22 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #73 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_26_4 = e22 % 64.69/10.17 (2) all_26_4 = e21 % 64.69/10.17 (3) ~ (e22 = e21) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) e22 = e21 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) e22 = e21 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #74 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_18_12 = e21 | all_18_12 = e20 % 64.69/10.17 (2) all_18_12 = all_14_3 % 64.69/10.17 (3) ~ (all_14_3 = e21) % 64.69/10.17 (4) ~ (all_14_3 = e20) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | BETA: splitting (1) gives: % 64.69/10.17 | % 64.69/10.17 | Case 1: % 64.69/10.17 | | % 64.69/10.17 | | (5) all_18_12 = e21 % 64.69/10.17 | | % 64.69/10.17 | | COMBINE_EQS: (2), (5) imply: % 64.69/10.17 | | (6) all_14_3 = e21 % 64.69/10.17 | | % 64.69/10.17 | | SIMP: (6) implies: % 64.69/10.17 | | (7) all_14_3 = e21 % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (3), (7) imply: % 64.69/10.17 | | (8) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (8) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | Case 2: % 64.69/10.17 | | % 64.69/10.17 | | (9) all_18_12 = e20 % 64.69/10.17 | | % 64.69/10.17 | | COMBINE_EQS: (2), (9) imply: % 64.69/10.17 | | (10) all_14_3 = e20 % 64.69/10.17 | | % 64.69/10.17 | | SIMP: (10) implies: % 64.69/10.17 | | (11) all_14_3 = e20 % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (4), (11) imply: % 64.69/10.17 | | (12) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (12) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | End of split % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #75 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) (all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = e23) & ~ % 64.69/10.17 (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.69/10.17 (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ % 64.69/10.17 (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.69/10.17 (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 64.69/10.17 (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) % 64.69/10.17 (2) all_22_31 = e20 % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | BETA: splitting (1) gives: % 64.69/10.17 | % 64.69/10.17 | Case 1: % 64.69/10.17 | | % 64.69/10.17 | | (3) all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_7 = e23) & ~ % 64.69/10.17 | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20) % 64.69/10.17 | | % 64.69/10.17 | | ALPHA: (3) implies: % 64.69/10.17 | | (4) ~ (all_22_31 = e20) % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (2), (4) imply: % 64.69/10.17 | | (5) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (5) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | Case 2: % 64.69/10.17 | | % 64.69/10.17 | | (6) (all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ % 64.69/10.17 | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | % 64.69/10.17 | | (all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 64.69/10.17 | | (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) % 64.69/10.17 | | % 64.69/10.17 | | BETA: splitting (6) gives: % 64.69/10.17 | | % 64.69/10.17 | | Case 1: % 64.69/10.17 | | | % 64.69/10.17 | | | (7) all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_11 = e20) & ~ % 64.69/10.17 | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20) % 64.69/10.17 | | | % 64.69/10.17 | | | ALPHA: (7) implies: % 64.69/10.17 | | | (8) ~ (all_22_31 = e20) % 64.69/10.17 | | | % 64.69/10.17 | | | REDUCE: (2), (8) imply: % 64.69/10.17 | | | (9) $false % 64.69/10.17 | | | % 64.69/10.17 | | | CLOSE: (9) is inconsistent. % 64.69/10.17 | | | % 64.69/10.17 | | Case 2: % 64.69/10.17 | | | % 64.69/10.17 | | | (10) all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ % 64.69/10.17 | | | (all_22_21 = e20) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20) % 64.69/10.17 | | | % 64.69/10.17 | | | ALPHA: (10) implies: % 64.69/10.17 | | | (11) ~ (all_22_31 = e20) % 64.69/10.17 | | | % 64.69/10.17 | | | REDUCE: (2), (11) imply: % 64.69/10.17 | | | (12) $false % 64.69/10.17 | | | % 64.69/10.17 | | | CLOSE: (12) is inconsistent. % 64.69/10.17 | | | % 64.69/10.17 | | End of split % 64.69/10.17 | | % 64.69/10.17 | End of split % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #76 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_5 = e23) & ~ % 64.69/10.17 (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20) % 64.69/10.17 (2) all_22_17 = e22 % 64.69/10.17 (3) ~ (e23 = e22) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | ALPHA: (1) implies: % 64.69/10.17 | (4) all_22_17 = e23 % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (2), (4) imply: % 64.69/10.17 | (5) e23 = e22 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #77 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_22_15 = e20 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ % 64.69/10.17 (all_22_19 = e21) & ~ (all_22_27 = e20) & ~ (all_22_31 = e22) % 64.69/10.17 (2) all_22_15 = e23 % 64.69/10.17 (3) ~ (e23 = e20) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | ALPHA: (1) implies: % 64.69/10.17 | (4) all_22_15 = e20 % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (2), (4) imply: % 64.69/10.17 | (5) e23 = e20 % 64.69/10.17 | % 64.69/10.17 | SIMP: (5) implies: % 64.69/10.17 | (6) e23 = e20 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (6) imply: % 64.69/10.17 | (7) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (7) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #78 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_3 = e23) & ~ % 64.69/10.17 (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20) % 64.69/10.17 (2) all_22_9 = e20 % 64.69/10.17 (3) ~ (e23 = e20) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | ALPHA: (1) implies: % 64.69/10.17 | (4) all_22_9 = e23 % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (2), (4) imply: % 64.69/10.17 | (5) e23 = e20 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #79 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_22_7 = e22 % 64.69/10.17 (2) all_22_7 = e20 % 64.69/10.17 (3) ~ (e22 = e20) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) e22 = e20 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) e22 = e20 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #80 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_22_3 = e23 % 64.69/10.17 (2) all_22_3 = e22 % 64.69/10.17 (3) ~ (e23 = e22) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) e23 = e22 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) e23 = e22 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #81 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_18_11 = all_14_14 % 64.69/10.17 (2) all_18_11 = e23 % 64.69/10.17 (3) ~ (all_14_14 = e23) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) all_14_14 = e23 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) all_14_14 = e23 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #82 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_18_12 = all_14_3 % 64.69/10.17 (2) all_18_12 = e23 % 64.69/10.17 (3) ~ (all_14_3 = e23) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) all_14_3 = e23 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) all_14_3 = e23 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #83 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_24_3 = all_12_5 % 64.69/10.17 (2) ~ (all_12_5 = e13) % 64.69/10.17 (3) all_24_5 = all_12_9 % 64.69/10.17 (4) ~ (all_12_13 = e13) % 64.69/10.17 (5) ~ (all_12_9 = e13) % 64.69/10.17 (6) all_24_3 = e13 | all_24_5 = e13 | all_24_10 = e13 % 64.69/10.17 (7) all_24_10 = all_12_13 % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | BETA: splitting (6) gives: % 64.69/10.17 | % 64.69/10.17 | Case 1: % 64.69/10.17 | | % 64.69/10.17 | | (8) all_24_3 = e13 % 64.69/10.17 | | % 64.69/10.17 | | COMBINE_EQS: (1), (8) imply: % 64.69/10.17 | | (9) all_12_5 = e13 % 64.69/10.17 | | % 64.69/10.17 | | SIMP: (9) implies: % 64.69/10.17 | | (10) all_12_5 = e13 % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (2), (10) imply: % 64.69/10.17 | | (11) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (11) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | Case 2: % 64.69/10.17 | | % 64.69/10.17 | | (12) all_24_5 = e13 | all_24_10 = e13 % 64.69/10.17 | | % 64.69/10.17 | | BETA: splitting (12) gives: % 64.69/10.17 | | % 64.69/10.17 | | Case 1: % 64.69/10.17 | | | % 64.69/10.17 | | | (13) all_24_5 = e13 % 64.69/10.17 | | | % 64.69/10.17 | | | REF_CLOSE: (3), (5), (13) are inconsistent by sub-proof #84. % 64.69/10.17 | | | % 64.69/10.17 | | Case 2: % 64.69/10.17 | | | % 64.69/10.17 | | | (14) all_24_10 = e13 % 64.69/10.17 | | | % 64.69/10.17 | | | COMBINE_EQS: (7), (14) imply: % 64.69/10.17 | | | (15) all_12_13 = e13 % 64.69/10.17 | | | % 64.69/10.17 | | | SIMP: (15) implies: % 64.69/10.17 | | | (16) all_12_13 = e13 % 64.69/10.17 | | | % 64.69/10.17 | | | REDUCE: (4), (16) imply: % 64.69/10.17 | | | (17) $false % 64.69/10.17 | | | % 64.69/10.17 | | | CLOSE: (17) is inconsistent. % 64.69/10.17 | | | % 64.69/10.17 | | End of split % 64.69/10.17 | | % 64.69/10.17 | End of split % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #84 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) all_24_5 = all_12_9 % 64.69/10.17 (2) all_24_5 = e13 % 64.69/10.17 (3) ~ (all_12_9 = e13) % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | COMBINE_EQS: (1), (2) imply: % 64.69/10.17 | (4) all_12_9 = e13 % 64.69/10.17 | % 64.69/10.17 | SIMP: (4) implies: % 64.69/10.17 | (5) all_12_9 = e13 % 64.69/10.17 | % 64.69/10.17 | REDUCE: (3), (5) imply: % 64.69/10.17 | (6) $false % 64.69/10.17 | % 64.69/10.17 | CLOSE: (6) is inconsistent. % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #85 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) ~ (all_12_10 = e13) % 64.69/10.17 (2) ~ (all_12_14 = e13) % 64.69/10.17 (3) all_24_8 = all_12_10 % 64.69/10.17 (4) all_24_8 = e13 | all_24_11 = e13 % 64.69/10.17 (5) all_24_11 = all_12_14 % 64.69/10.17 % 64.69/10.17 Begin of proof % 64.69/10.17 | % 64.69/10.17 | BETA: splitting (4) gives: % 64.69/10.17 | % 64.69/10.17 | Case 1: % 64.69/10.17 | | % 64.69/10.17 | | (6) all_24_8 = e13 % 64.69/10.17 | | % 64.69/10.17 | | COMBINE_EQS: (3), (6) imply: % 64.69/10.17 | | (7) all_12_10 = e13 % 64.69/10.17 | | % 64.69/10.17 | | SIMP: (7) implies: % 64.69/10.17 | | (8) all_12_10 = e13 % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (1), (8) imply: % 64.69/10.17 | | (9) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (9) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | Case 2: % 64.69/10.17 | | % 64.69/10.17 | | (10) all_24_11 = e13 % 64.69/10.17 | | % 64.69/10.17 | | COMBINE_EQS: (5), (10) imply: % 64.69/10.17 | | (11) all_12_14 = e13 % 64.69/10.17 | | % 64.69/10.17 | | SIMP: (11) implies: % 64.69/10.17 | | (12) all_12_14 = e13 % 64.69/10.17 | | % 64.69/10.17 | | REDUCE: (2), (12) imply: % 64.69/10.17 | | (13) $false % 64.69/10.17 | | % 64.69/10.17 | | CLOSE: (13) is inconsistent. % 64.69/10.17 | | % 64.69/10.17 | End of split % 64.69/10.17 | % 64.69/10.17 End of proof % 64.69/10.17 % 64.69/10.17 Sub-proof #86 shows that the following formulas are inconsistent: % 64.69/10.17 ---------------------------------------------------------------- % 64.69/10.17 (1) ~ (all_12_7 = e10) % 64.69/10.17 (2) all_24_13 = e10 | all_24_14 = e10 % 64.69/10.18 (3) all_24_13 = all_12_7 % 64.69/10.18 (4) ~ (e13 = e10) % 64.69/10.18 (5) all_24_14 = e13 % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | BETA: splitting (2) gives: % 64.69/10.18 | % 64.69/10.18 | Case 1: % 64.69/10.18 | | % 64.69/10.18 | | (6) all_24_13 = e10 % 64.69/10.18 | | % 64.69/10.18 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #103. % 64.69/10.18 | | % 64.69/10.18 | Case 2: % 64.69/10.18 | | % 64.69/10.18 | | (7) all_24_14 = e10 % 64.69/10.18 | | % 64.69/10.18 | | COMBINE_EQS: (5), (7) imply: % 64.69/10.18 | | (8) e13 = e10 % 64.69/10.18 | | % 64.69/10.18 | | SIMP: (8) implies: % 64.69/10.18 | | (9) e13 = e10 % 64.69/10.18 | | % 64.69/10.18 | | REDUCE: (4), (9) imply: % 64.69/10.18 | | (10) $false % 64.69/10.18 | | % 64.69/10.18 | | CLOSE: (10) is inconsistent. % 64.69/10.18 | | % 64.69/10.18 | End of split % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #87 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_20_7 = all_12_15 % 64.69/10.18 (2) all_20_7 = e10 % 64.69/10.18 (3) ~ (all_12_15 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) all_12_15 = e10 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) all_12_15 = e10 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #88 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_20_4 = all_20_5 % 64.69/10.18 (2) all_20_4 = e12 % 64.69/10.18 (3) all_20_5 = e13 % 64.69/10.18 (4) ~ (e13 = e12) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (5) all_20_5 = e12 % 64.69/10.18 | % 64.69/10.18 | SIMP: (5) implies: % 64.69/10.18 | (6) all_20_5 = e12 % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (3), (6) imply: % 64.69/10.18 | (7) e13 = e12 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (4), (7) imply: % 64.69/10.18 | (8) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (8) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #89 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_20_3 = e13 % 64.69/10.18 (2) all_20_3 = e12 % 64.69/10.18 (3) ~ (e13 = e12) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) e13 = e12 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) e13 = e12 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #90 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_20_1 = e13 % 64.69/10.18 (2) all_20_1 = e11 % 64.69/10.18 (3) ~ (e13 = e11) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) e13 = e11 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) e13 = e11 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #91 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_12 = all_12_3 % 64.69/10.18 (2) all_24_12 = e13 % 64.69/10.18 (3) ~ (all_12_3 = e13) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) all_12_3 = e13 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) all_12_3 = e13 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #92 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) ~ (all_12_7 = e13) % 64.69/10.18 (2) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 64.69/10.18 (3) all_24_13 = all_12_7 % 64.69/10.18 (4) ~ (all_12_15 = e13) % 64.69/10.18 (5) all_24_15 = all_12_15 % 64.69/10.18 (6) ~ (all_12_11 = e13) % 64.69/10.18 (7) all_24_14 = all_12_11 % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | BETA: splitting (2) gives: % 64.69/10.18 | % 64.69/10.18 | Case 1: % 64.69/10.18 | | % 64.69/10.18 | | (8) all_24_13 = e13 % 64.69/10.18 | | % 64.69/10.18 | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #95. % 64.69/10.18 | | % 64.69/10.18 | Case 2: % 64.69/10.18 | | % 64.69/10.18 | | (9) all_24_14 = e13 | all_24_15 = e13 % 64.69/10.18 | | % 64.69/10.18 | | REF_CLOSE: (4), (5), (6), (7), (9) are inconsistent by sub-proof #93. % 64.69/10.18 | | % 64.69/10.18 | End of split % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #93 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) ~ (all_12_15 = e13) % 64.69/10.18 (2) all_24_15 = all_12_15 % 64.69/10.18 (3) ~ (all_12_11 = e13) % 64.69/10.18 (4) all_24_14 = all_12_11 % 64.69/10.18 (5) all_24_14 = e13 | all_24_15 = e13 % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | BETA: splitting (5) gives: % 64.69/10.18 | % 64.69/10.18 | Case 1: % 64.69/10.18 | | % 64.69/10.18 | | (6) all_24_14 = e13 % 64.69/10.18 | | % 64.69/10.18 | | COMBINE_EQS: (4), (6) imply: % 64.69/10.18 | | (7) all_12_11 = e13 % 64.69/10.18 | | % 64.69/10.18 | | REDUCE: (3), (7) imply: % 64.69/10.18 | | (8) $false % 64.69/10.18 | | % 64.69/10.18 | | CLOSE: (8) is inconsistent. % 64.69/10.18 | | % 64.69/10.18 | Case 2: % 64.69/10.18 | | % 64.69/10.18 | | (9) all_24_15 = e13 % 64.69/10.18 | | % 64.69/10.18 | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #94. % 64.69/10.18 | | % 64.69/10.18 | End of split % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #94 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_15 = all_12_15 % 64.69/10.18 (2) all_24_15 = e13 % 64.69/10.18 (3) ~ (all_12_15 = e13) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) all_12_15 = e13 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) all_12_15 = e13 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #95 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_13 = all_12_7 % 64.69/10.18 (2) all_24_13 = e13 % 64.69/10.18 (3) ~ (all_12_7 = e13) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) all_12_7 = e13 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) all_12_7 = e13 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #96 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) ~ (e13 = e11) % 64.69/10.18 (2) all_24_8 = e13 % 64.69/10.18 (3) all_24_14 = e10 % 64.69/10.18 (4) all_24_8 = e11 | all_24_14 = e11 % 64.69/10.18 (5) ~ (e11 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | BETA: splitting (4) gives: % 64.69/10.18 | % 64.69/10.18 | Case 1: % 64.69/10.18 | | % 64.69/10.18 | | (6) all_24_8 = e11 % 64.69/10.18 | | % 64.69/10.18 | | COMBINE_EQS: (2), (6) imply: % 64.69/10.18 | | (7) e13 = e11 % 64.69/10.18 | | % 64.69/10.18 | | REDUCE: (1), (7) imply: % 64.69/10.18 | | (8) $false % 64.69/10.18 | | % 64.69/10.18 | | CLOSE: (8) is inconsistent. % 64.69/10.18 | | % 64.69/10.18 | Case 2: % 64.69/10.18 | | % 64.69/10.18 | | (9) all_24_14 = e11 % 64.69/10.18 | | % 64.69/10.18 | | COMBINE_EQS: (3), (9) imply: % 64.69/10.18 | | (10) e11 = e10 % 64.69/10.18 | | % 64.69/10.18 | | REDUCE: (5), (10) imply: % 64.69/10.18 | | (11) $false % 64.69/10.18 | | % 64.69/10.18 | | CLOSE: (11) is inconsistent. % 64.69/10.18 | | % 64.69/10.18 | End of split % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #97 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_15 = all_12_15 % 64.69/10.18 (2) all_24_15 = e11 % 64.69/10.18 (3) ~ (all_12_15 = e11) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) all_12_15 = e11 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) all_12_15 = e11 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #98 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_1 = e12 % 64.69/10.18 (2) all_24_1 = e10 % 64.69/10.18 (3) ~ (e12 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) e12 = e10 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) e12 = e10 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #99 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_1 = e11 % 64.69/10.18 (2) all_24_1 = e10 % 64.69/10.18 (3) ~ (e11 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) e11 = e10 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) e11 = e10 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #100 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_20_15 = e10 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.69/10.18 (all_20_19 = e11) & ~ (all_20_27 = e10) & ~ (all_20_31 = e12) % 64.69/10.18 (2) all_20_15 = all_12_7 % 64.69/10.18 (3) ~ (all_12_7 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | ALPHA: (1) implies: % 64.69/10.18 | (4) all_20_15 = e10 % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (2), (4) imply: % 64.69/10.18 | (5) all_12_7 = e10 % 64.69/10.18 | % 64.69/10.18 | SIMP: (5) implies: % 64.69/10.18 | (6) all_12_7 = e10 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (6) imply: % 64.69/10.18 | (7) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (7) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #101 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) ~ (all_12_2 = e11) % 64.69/10.18 (2) (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.18 (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.69/10.18 (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.18 (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) % 64.69/10.18 (3) ~ (e13 = e10) % 64.69/10.18 (4) all_20_5 = all_12_2 % 64.69/10.18 (5) all_20_7 = e13 % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | BETA: splitting (2) gives: % 64.69/10.18 | % 64.69/10.18 | Case 1: % 64.69/10.18 | | % 64.69/10.18 | | (6) all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.18 | | (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10) % 64.69/10.18 | | % 64.69/10.18 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #131. % 64.69/10.18 | | % 64.69/10.18 | Case 2: % 64.69/10.18 | | % 64.69/10.18 | | (7) all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.18 | | (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13) % 64.69/10.18 | | % 64.69/10.18 | | ALPHA: (7) implies: % 64.69/10.18 | | (8) all_20_7 = e10 % 64.69/10.18 | | % 64.69/10.18 | | COMBINE_EQS: (5), (8) imply: % 64.69/10.18 | | (9) e13 = e10 % 64.69/10.18 | | % 64.69/10.18 | | SIMP: (9) implies: % 64.69/10.18 | | (10) e13 = e10 % 64.69/10.18 | | % 64.69/10.18 | | REDUCE: (3), (10) imply: % 64.69/10.18 | | (11) $false % 64.69/10.18 | | % 64.69/10.18 | | CLOSE: (11) is inconsistent. % 64.69/10.18 | | % 64.69/10.18 | End of split % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #102 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_4 = e12 % 64.69/10.18 (2) all_24_4 = e11 % 64.69/10.18 (3) ~ (e12 = e11) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) e12 = e11 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) e12 = e11 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #103 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_13 = all_12_7 % 64.69/10.18 (2) all_24_13 = e10 % 64.69/10.18 (3) ~ (all_12_7 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) all_12_7 = e10 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) all_12_7 = e10 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #104 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_24_12 = e13 % 64.69/10.18 (2) all_24_12 = e10 % 64.69/10.18 (3) ~ (e13 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) e13 = e10 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) e13 = e10 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #105 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_16_10 = all_12_10 % 64.69/10.18 (2) all_16_10 = e10 % 64.69/10.18 (3) ~ (all_12_10 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) all_12_10 = e10 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.18 | (5) all_12_10 = e10 % 64.69/10.18 | % 64.69/10.18 | REDUCE: (3), (5) imply: % 64.69/10.18 | (6) $false % 64.69/10.18 | % 64.69/10.18 | CLOSE: (6) is inconsistent. % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #106 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_16_4 = e11 | all_16_4 = e10 % 64.69/10.18 (2) all_16_4 = all_12_1 % 64.69/10.18 (3) ~ (all_12_1 = e11) % 64.69/10.18 (4) ~ (all_12_1 = e10) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | BETA: splitting (1) gives: % 64.69/10.18 | % 64.69/10.18 | Case 1: % 64.69/10.18 | | % 64.69/10.18 | | (5) all_16_4 = e11 % 64.69/10.18 | | % 64.69/10.18 | | COMBINE_EQS: (2), (5) imply: % 64.69/10.18 | | (6) all_12_1 = e11 % 64.69/10.18 | | % 64.69/10.18 | | SIMP: (6) implies: % 64.69/10.18 | | (7) all_12_1 = e11 % 64.69/10.18 | | % 64.69/10.18 | | REDUCE: (3), (7) imply: % 64.69/10.18 | | (8) $false % 64.69/10.18 | | % 64.69/10.18 | | CLOSE: (8) is inconsistent. % 64.69/10.18 | | % 64.69/10.18 | Case 2: % 64.69/10.18 | | % 64.69/10.18 | | (9) all_16_4 = e10 % 64.69/10.18 | | % 64.69/10.18 | | COMBINE_EQS: (2), (9) imply: % 64.69/10.18 | | (10) all_12_1 = e10 % 64.69/10.18 | | % 64.69/10.18 | | SIMP: (10) implies: % 64.69/10.18 | | (11) all_12_1 = e10 % 64.69/10.18 | | % 64.69/10.18 | | REDUCE: (4), (11) imply: % 64.69/10.18 | | (12) $false % 64.69/10.18 | | % 64.69/10.18 | | CLOSE: (12) is inconsistent. % 64.69/10.18 | | % 64.69/10.18 | End of split % 64.69/10.18 | % 64.69/10.18 End of proof % 64.69/10.18 % 64.69/10.18 Sub-proof #107 shows that the following formulas are inconsistent: % 64.69/10.18 ---------------------------------------------------------------- % 64.69/10.18 (1) all_20_13 = e13 % 64.69/10.18 (2) all_20_13 = e11 % 64.69/10.18 (3) ~ (e13 = e11) % 64.69/10.18 % 64.69/10.18 Begin of proof % 64.69/10.18 | % 64.69/10.18 | COMBINE_EQS: (1), (2) imply: % 64.69/10.18 | (4) e13 = e11 % 64.69/10.18 | % 64.69/10.18 | SIMP: (4) implies: % 64.69/10.19 | (5) e13 = e11 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #108 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_24_3 = e13 % 64.69/10.19 (2) all_24_3 = e11 % 64.69/10.19 (3) ~ (e13 = e11) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) e13 = e11 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) e13 = e11 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #109 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_9 = all_12_6 % 64.69/10.19 (2) all_16_9 = e12 % 64.69/10.19 (3) ~ (all_12_6 = e12) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_6 = e12 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_6 = e12 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #110 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_4 = all_12_1 % 64.69/10.19 (2) all_16_4 = e13 % 64.69/10.19 (3) ~ (all_12_1 = e13) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_1 = e13 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_1 = e13 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #111 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_9 = all_12_6 % 64.69/10.19 (2) all_16_9 = e13 % 64.69/10.19 (3) ~ (all_12_6 = e13) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_6 = e13 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_6 = e13 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #112 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_5 = all_12_5 % 64.69/10.19 (2) all_16_5 = e10 % 64.69/10.19 (3) ~ (all_12_5 = e10) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_5 = e10 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_5 = e10 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #113 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_20_9 = e13 % 64.69/10.19 (2) all_20_9 = e10 % 64.69/10.19 (3) ~ (e13 = e10) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) e13 = e10 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) e13 = e10 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #114 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_8 = e11 | all_16_8 = e10 % 64.69/10.19 (2) all_16_8 = all_12_2 % 64.69/10.19 (3) ~ (all_12_2 = e11) % 64.69/10.19 (4) ~ (all_12_2 = e10) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | BETA: splitting (1) gives: % 64.69/10.19 | % 64.69/10.19 | Case 1: % 64.69/10.19 | | % 64.69/10.19 | | (5) all_16_8 = e11 % 64.69/10.19 | | % 64.69/10.19 | | COMBINE_EQS: (2), (5) imply: % 64.69/10.19 | | (6) all_12_2 = e11 % 64.69/10.19 | | % 64.69/10.19 | | SIMP: (6) implies: % 64.69/10.19 | | (7) all_12_2 = e11 % 64.69/10.19 | | % 64.69/10.19 | | REDUCE: (3), (7) imply: % 64.69/10.19 | | (8) $false % 64.69/10.19 | | % 64.69/10.19 | | CLOSE: (8) is inconsistent. % 64.69/10.19 | | % 64.69/10.19 | Case 2: % 64.69/10.19 | | % 64.69/10.19 | | (9) all_16_8 = e10 % 64.69/10.19 | | % 64.69/10.19 | | COMBINE_EQS: (2), (9) imply: % 64.69/10.19 | | (10) all_12_2 = e10 % 64.69/10.19 | | % 64.69/10.19 | | SIMP: (10) implies: % 64.69/10.19 | | (11) all_12_2 = e10 % 64.69/10.19 | | % 64.69/10.19 | | REDUCE: (4), (11) imply: % 64.69/10.19 | | (12) $false % 64.69/10.19 | | % 64.69/10.19 | | CLOSE: (12) is inconsistent. % 64.69/10.19 | | % 64.69/10.19 | End of split % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #115 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_5 = all_12_5 % 64.69/10.19 (2) all_16_5 = e12 % 64.69/10.19 (3) ~ (all_12_5 = e12) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_5 = e12 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_5 = e12 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #116 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_10 = all_12_10 % 64.69/10.19 (2) all_16_10 = e11 % 64.69/10.19 (3) ~ (all_12_10 = e11) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_10 = e11 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_10 = e11 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #117 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_10 = all_12_10 % 64.69/10.19 (2) all_16_10 = e12 % 64.69/10.19 (3) ~ (all_12_10 = e12) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_10 = e12 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_10 = e12 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #118 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_10 = all_12_10 % 64.69/10.19 (2) all_16_10 = e13 % 64.69/10.19 (3) ~ (all_12_10 = e13) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | COMBINE_EQS: (1), (2) imply: % 64.69/10.19 | (4) all_12_10 = e13 % 64.69/10.19 | % 64.69/10.19 | SIMP: (4) implies: % 64.69/10.19 | (5) all_12_10 = e13 % 64.69/10.19 | % 64.69/10.19 | REDUCE: (3), (5) imply: % 64.69/10.19 | (6) $false % 64.69/10.19 | % 64.69/10.19 | CLOSE: (6) is inconsistent. % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #119 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) all_16_12 = e11 | all_16_12 = e10 % 64.69/10.19 (2) all_16_12 = all_12_3 % 64.69/10.19 (3) ~ (all_12_3 = e11) % 64.69/10.19 (4) ~ (all_12_3 = e10) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | BETA: splitting (1) gives: % 64.69/10.19 | % 64.69/10.19 | Case 1: % 64.69/10.19 | | % 64.69/10.19 | | (5) all_16_12 = e11 % 64.69/10.19 | | % 64.69/10.19 | | COMBINE_EQS: (2), (5) imply: % 64.69/10.19 | | (6) all_12_3 = e11 % 64.69/10.19 | | % 64.69/10.19 | | REDUCE: (3), (6) imply: % 64.69/10.19 | | (7) $false % 64.69/10.19 | | % 64.69/10.19 | | CLOSE: (7) is inconsistent. % 64.69/10.19 | | % 64.69/10.19 | Case 2: % 64.69/10.19 | | % 64.69/10.19 | | (8) all_16_12 = e10 % 64.69/10.19 | | % 64.69/10.19 | | COMBINE_EQS: (2), (8) imply: % 64.69/10.19 | | (9) all_12_3 = e10 % 64.69/10.19 | | % 64.69/10.19 | | REDUCE: (4), (9) imply: % 64.69/10.19 | | (10) $false % 64.69/10.19 | | % 64.69/10.19 | | CLOSE: (10) is inconsistent. % 64.69/10.19 | | % 64.69/10.19 | End of split % 64.69/10.19 | % 64.69/10.19 End of proof % 64.69/10.19 % 64.69/10.19 Sub-proof #120 shows that the following formulas are inconsistent: % 64.69/10.19 ---------------------------------------------------------------- % 64.69/10.19 (1) ~ (all_12_1 = e12) % 64.69/10.19 (2) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 64.69/10.19 (3) all_16_5 = all_12_5 % 64.69/10.19 (4) all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12 % 64.69/10.19 (5) ~ (all_12_7 = e10) % 64.69/10.19 (6) all_20_11 = all_12_5 % 64.69/10.19 (7) all_20_3 = all_12_1 % 64.69/10.19 (8) ~ (all_12_2 = e11) % 64.69/10.19 (9) ~ (all_12_7 = e12) % 64.69/10.19 (10) ~ (e13 = e12) % 64.69/10.19 (11) all_20_23 = e11 % 64.69/10.19 (12) ~ (all_12_5 = e10) % 64.69/10.19 (13) all_24_7 = all_12_6 % 64.69/10.19 (14) all_24_13 = all_12_7 % 64.69/10.19 (15) ~ (e12 = e11) % 64.69/10.19 (16) ~ (e13 = e10) % 64.69/10.19 (17) all_20_13 = all_12_6 % 64.69/10.19 (18) ~ (e12 = e10) % 64.69/10.19 (19) ~ (all_12_9 = e12) % 64.69/10.19 (20) all_24_3 = all_12_5 % 64.69/10.19 (21) ~ (all_12_5 = all_12_6) % 64.69/10.19 (22) all_20_9 = e10 % 64.69/10.19 (23) all_20_17 = e12 % 64.69/10.19 (24) all_20_31 = e10 % 64.69/10.19 (25) all_20_7 = e12 % 64.69/10.19 (26) all_20_19 = all_12_9 % 64.69/10.19 (27) all_24_1 = e10 % 64.69/10.19 (28) all_20_15 = all_12_7 % 64.69/10.19 (29) all_20_5 = all_12_2 % 64.69/10.19 (30) ~ (e11 = e10) % 64.69/10.19 (31) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 (all_20_11 = e13) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 64.69/10.19 (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.69/10.19 (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 64.69/10.19 (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_3 = e13) & ~ % 64.69/10.19 (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 64.69/10.19 (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.69/10.19 (all_20_19 = e11) & ~ (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 64.69/10.19 (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.69/10.19 (all_20_19 = e11) & ~ (all_20_27 = e10) & ~ (all_20_31 = e12)) | % 64.69/10.19 (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_5 = e13) & ~ % 64.69/10.19 (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.69/10.19 (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & ~ % 64.69/10.19 (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.69/10.19 (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 64.69/10.19 (all_20_21 = e11) & ~ (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 64.69/10.19 (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ (all_20_7 = e13) & ~ % 64.69/10.19 (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.69/10.19 (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_11 = e10) & ~ % 64.69/10.19 (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.69/10.19 (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.69/10.19 (all_20_21 = e10) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.69/10.19 % 64.69/10.19 Begin of proof % 64.69/10.19 | % 64.69/10.19 | BETA: splitting (31) gives: % 64.69/10.19 | % 64.69/10.19 | Case 1: % 64.69/10.19 | | % 64.69/10.19 | | (32) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 | | (all_20_11 = e13) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 64.69/10.19 | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 | | (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.69/10.19 | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 | | (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) | % 64.69/10.19 | | (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_3 = e13) & ~ % 64.69/10.19 | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) | % 64.69/10.19 | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.69/10.19 | | (all_20_19 = e11) & ~ (all_20_21 = e12) & ~ (all_20_27 = e10)) | % 64.69/10.19 | | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ % 64.69/10.19 | | (all_20_19 = e11) & ~ (all_20_27 = e10) & ~ (all_20_31 = e12)) % 64.69/10.19 | | % 64.69/10.19 | | BETA: splitting (32) gives: % 64.69/10.19 | | % 64.69/10.19 | | Case 1: % 64.69/10.19 | | | % 64.69/10.19 | | | (33) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 | | | (all_20_11 = e13) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) % 64.69/10.19 | | | | (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 | | | (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) % 64.69/10.19 | | | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.19 | | | (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) % 64.69/10.19 | | | % 64.69/10.19 | | | REF_CLOSE: (1), (7), (8), (18), (25), (29), (33) are inconsistent by % 64.69/10.19 | | | sub-proof #130. % 64.69/10.19 | | | % 64.69/10.19 | | Case 2: % 64.69/10.19 | | | % 64.69/10.20 | | | (34) (all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_3 = e13) & ~ % 64.69/10.20 | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) % 64.69/10.20 | | | | (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & % 64.69/10.20 | | | ~ (all_20_19 = e11) & ~ (all_20_21 = e12) & ~ (all_20_27 = % 64.69/10.20 | | | e10)) | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ (all_20_11 % 64.69/10.20 | | | = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10) & ~ % 64.69/10.20 | | | (all_20_31 = e12)) % 64.69/10.20 | | | % 64.69/10.20 | | | BETA: splitting (34) gives: % 64.69/10.20 | | | % 64.69/10.20 | | | Case 1: % 64.69/10.20 | | | | % 64.69/10.20 | | | | (35) all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_3 = e13) & ~ % 64.69/10.20 | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10) % 64.69/10.20 | | | | % 64.69/10.20 | | | | REF_CLOSE: (16), (22), (35) are inconsistent by sub-proof #129. % 64.69/10.20 | | | | % 64.69/10.20 | | | Case 2: % 64.69/10.20 | | | | % 64.69/10.20 | | | | (36) (all_20_13 = e11 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & % 64.69/10.20 | | | | ~ (all_20_19 = e11) & ~ (all_20_21 = e12) & ~ (all_20_27 = % 64.69/10.20 | | | | e10)) | (all_20_15 = e10 & ~ (all_20_3 = e13) & ~ % 64.69/10.20 | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = % 64.69/10.20 | | | | e10) & ~ (all_20_31 = e12)) % 64.69/10.20 | | | | % 64.69/10.20 | | | | BETA: splitting (36) gives: % 64.69/10.20 | | | | % 64.69/10.20 | | | | Case 1: % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | (37) all_20_13 = e11 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & % 64.69/10.20 | | | | | ~ (all_20_19 = e11) & ~ (all_20_21 = e12) & ~ (all_20_27 = % 64.69/10.20 | | | | | e10) % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | ALPHA: (37) implies: % 64.69/10.20 | | | | | (38) all_20_13 = e11 % 64.69/10.20 | | | | | (39) ~ (all_20_11 = e12) % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | COMBINE_EQS: (17), (38) imply: % 64.69/10.20 | | | | | (40) all_12_6 = e11 % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | SIMP: (40) implies: % 64.69/10.20 | | | | | (41) all_12_6 = e11 % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | COMBINE_EQS: (13), (41) imply: % 64.69/10.20 | | | | | (42) all_24_7 = e11 % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | REDUCE: (6), (39) imply: % 64.69/10.20 | | | | | (43) ~ (all_12_5 = e12) % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | REDUCE: (21), (41) imply: % 64.69/10.20 | | | | | (44) ~ (all_12_5 = e11) % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | BETA: splitting (2) gives: % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | Case 1: % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | (45) all_16_5 = e13 % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | COMBINE_EQS: (3), (45) imply: % 64.69/10.20 | | | | | | (46) all_12_5 = e13 % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | SIMP: (46) implies: % 64.69/10.20 | | | | | | (47) all_12_5 = e13 % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | COMBINE_EQS: (20), (47) imply: % 64.69/10.20 | | | | | | (48) all_24_3 = e13 % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | BETA: splitting (4) gives: % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | Case 1: % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | | (49) all_24_1 = e12 % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | | COMBINE_EQS: (27), (49) imply: % 64.69/10.20 | | | | | | | (50) e12 = e10 % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | | REDUCE: (18), (50) imply: % 64.69/10.20 | | | | | | | (51) $false % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | | CLOSE: (51) is inconsistent. % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | Case 2: % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | | (52) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12 % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | | BETA: splitting (52) gives: % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | | Case 1: % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | (53) all_24_3 = e12 % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | COMBINE_EQS: (48), (53) imply: % 64.69/10.20 | | | | | | | | (54) e13 = e12 % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | SIMP: (54) implies: % 64.69/10.20 | | | | | | | | (55) e13 = e12 % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | REDUCE: (10), (55) imply: % 64.69/10.20 | | | | | | | | (56) $false % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | CLOSE: (56) is inconsistent. % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | Case 2: % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | (57) all_24_7 = e12 | all_24_13 = e12 % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | BETA: splitting (57) gives: % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | | Case 1: % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | | (58) all_24_7 = e12 % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | | COMBINE_EQS: (42), (58) imply: % 64.69/10.20 | | | | | | | | | (59) e12 = e11 % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | | REDUCE: (15), (59) imply: % 64.69/10.20 | | | | | | | | | (60) $false % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | | CLOSE: (60) is inconsistent. % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | Case 2: % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | | (61) all_24_13 = e12 % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | | REF_CLOSE: (9), (14), (61) are inconsistent by sub-proof #125. % 64.69/10.20 | | | | | | | | | % 64.69/10.20 | | | | | | | | End of split % 64.69/10.20 | | | | | | | | % 64.69/10.20 | | | | | | | End of split % 64.69/10.20 | | | | | | | % 64.69/10.20 | | | | | | End of split % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | Case 2: % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | (62) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | | REF_CLOSE: (3), (12), (43), (44), (62) are inconsistent by sub-proof % 64.69/10.20 | | | | | | #123. % 64.69/10.20 | | | | | | % 64.69/10.20 | | | | | End of split % 64.69/10.20 | | | | | % 64.69/10.20 | | | | Case 2: % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | (63) all_20_15 = e10 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & % 64.69/10.20 | | | | | ~ (all_20_19 = e11) & ~ (all_20_27 = e10) & ~ (all_20_31 = % 64.69/10.20 | | | | | e12) % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | ALPHA: (63) implies: % 64.69/10.20 | | | | | (64) all_20_15 = e10 % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | COMBINE_EQS: (28), (64) imply: % 64.69/10.20 | | | | | (65) all_12_7 = e10 % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | REDUCE: (5), (65) imply: % 64.69/10.20 | | | | | (66) $false % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | CLOSE: (66) is inconsistent. % 64.69/10.20 | | | | | % 64.69/10.20 | | | | End of split % 64.69/10.20 | | | | % 64.69/10.20 | | | End of split % 64.69/10.20 | | | % 64.69/10.20 | | End of split % 64.69/10.20 | | % 64.69/10.20 | Case 2: % 64.69/10.20 | | % 64.69/10.20 | | (67) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_5 = e13) & ~ % 64.69/10.20 | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.69/10.20 | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & ~ % 64.69/10.20 | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) | % 64.69/10.20 | | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 64.69/10.20 | | (all_20_21 = e11) & ~ (all_20_29 = e10) & ~ (all_20_31 = e11)) | % 64.69/10.20 | | (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ (all_20_7 = e13) & ~ % 64.69/10.20 | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.69/10.20 | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_11 = e10) & ~ % 64.69/10.20 | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.69/10.20 | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.69/10.20 | | (all_20_21 = e10) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.69/10.20 | | % 64.69/10.20 | | BETA: splitting (67) gives: % 64.69/10.20 | | % 64.69/10.20 | | Case 1: % 64.69/10.20 | | | % 64.69/10.20 | | | (68) (all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_5 = e13) & ~ % 64.69/10.20 | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) % 64.69/10.20 | | | | (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & % 64.69/10.20 | | | ~ (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = % 64.69/10.20 | | | e10)) | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ (all_20_13 % 64.69/10.20 | | | = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10) & ~ % 64.69/10.20 | | | (all_20_31 = e11)) % 64.69/10.20 | | | % 64.69/10.20 | | | BETA: splitting (68) gives: % 64.69/10.20 | | | % 64.69/10.20 | | | Case 1: % 64.69/10.20 | | | | % 64.69/10.20 | | | | (69) all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_5 = e13) & ~ % 64.69/10.20 | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10) % 64.69/10.20 | | | | % 64.69/10.20 | | | | ALPHA: (69) implies: % 64.69/10.20 | | | | (70) all_20_17 = e13 % 64.69/10.20 | | | | % 64.69/10.20 | | | | REF_CLOSE: (10), (23), (70) are inconsistent by sub-proof #122. % 64.69/10.20 | | | | % 64.69/10.20 | | | Case 2: % 64.69/10.20 | | | | % 64.69/10.20 | | | | (71) (all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & % 64.69/10.20 | | | | ~ (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = % 64.69/10.20 | | | | e10)) | (all_20_23 = e10 & ~ (all_20_5 = e13) & ~ % 64.69/10.20 | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = % 64.69/10.20 | | | | e10) & ~ (all_20_31 = e11)) % 64.69/10.20 | | | | % 64.69/10.20 | | | | BETA: splitting (71) gives: % 64.69/10.20 | | | | % 64.69/10.20 | | | | Case 1: % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | (72) all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & % 64.69/10.20 | | | | | ~ (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = % 64.69/10.20 | | | | | e10) % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | ALPHA: (72) implies: % 64.69/10.20 | | | | | (73) all_20_19 = e12 % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | COMBINE_EQS: (26), (73) imply: % 64.69/10.20 | | | | | (74) all_12_9 = e12 % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | REDUCE: (19), (74) imply: % 64.69/10.20 | | | | | (75) $false % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | CLOSE: (75) is inconsistent. % 64.69/10.20 | | | | | % 64.69/10.20 | | | | Case 2: % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | (76) all_20_23 = e10 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & % 64.69/10.20 | | | | | ~ (all_20_21 = e11) & ~ (all_20_29 = e10) & ~ (all_20_31 = % 64.69/10.20 | | | | | e11) % 64.69/10.20 | | | | | % 64.69/10.20 | | | | | REF_CLOSE: (11), (30), (76) are inconsistent by sub-proof #121. % 64.69/10.20 | | | | | % 64.69/10.20 | | | | End of split % 64.69/10.20 | | | | % 64.69/10.20 | | | End of split % 64.69/10.20 | | | % 64.69/10.20 | | Case 2: % 64.69/10.20 | | | % 64.69/10.20 | | | (77) (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ (all_20_7 = e13) & ~ % 64.69/10.20 | | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.69/10.20 | | | | (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_11 = e10) & % 64.69/10.20 | | | ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = % 64.69/10.20 | | | e10)) | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 % 64.69/10.20 | | | = e12) & ~ (all_20_21 = e10) & ~ (all_20_23 = e11) & ~ % 64.69/10.20 | | | (all_20_31 = e10)) % 64.69/10.20 | | | % 64.69/10.20 | | | REF_CLOSE: (24), (77) are inconsistent by sub-proof #126. % 64.69/10.20 | | | % 64.69/10.20 | | End of split % 64.69/10.20 | | % 64.69/10.20 | End of split % 64.69/10.20 | % 64.69/10.20 End of proof % 64.69/10.20 % 64.69/10.20 Sub-proof #121 shows that the following formulas are inconsistent: % 64.69/10.20 ---------------------------------------------------------------- % 64.69/10.20 (1) all_20_23 = e10 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ % 64.69/10.20 (all_20_21 = e11) & ~ (all_20_29 = e10) & ~ (all_20_31 = e11) % 64.69/10.20 (2) all_20_23 = e11 % 64.69/10.20 (3) ~ (e11 = e10) % 64.69/10.20 % 64.69/10.20 Begin of proof % 64.69/10.20 | % 64.69/10.20 | ALPHA: (1) implies: % 64.69/10.20 | (4) all_20_23 = e10 % 64.69/10.20 | % 64.69/10.20 | COMBINE_EQS: (2), (4) imply: % 64.69/10.20 | (5) e11 = e10 % 64.69/10.20 | % 64.69/10.20 | REDUCE: (3), (5) imply: % 64.69/10.20 | (6) $false % 64.69/10.20 | % 64.69/10.20 | CLOSE: (6) is inconsistent. % 64.69/10.20 | % 64.69/10.20 End of proof % 64.69/10.20 % 64.69/10.20 Sub-proof #122 shows that the following formulas are inconsistent: % 64.69/10.20 ---------------------------------------------------------------- % 64.69/10.20 (1) all_20_17 = e13 % 64.69/10.20 (2) all_20_17 = e12 % 64.69/10.20 (3) ~ (e13 = e12) % 64.69/10.20 % 64.69/10.20 Begin of proof % 64.69/10.20 | % 64.69/10.20 | COMBINE_EQS: (1), (2) imply: % 64.69/10.20 | (4) e13 = e12 % 64.69/10.20 | % 64.69/10.20 | SIMP: (4) implies: % 64.69/10.20 | (5) e13 = e12 % 64.69/10.20 | % 64.69/10.20 | REDUCE: (3), (5) imply: % 64.69/10.20 | (6) $false % 64.69/10.20 | % 64.69/10.20 | CLOSE: (6) is inconsistent. % 64.69/10.20 | % 64.69/10.20 End of proof % 64.69/10.20 % 64.69/10.20 Sub-proof #123 shows that the following formulas are inconsistent: % 64.69/10.20 ---------------------------------------------------------------- % 64.69/10.20 (1) all_16_5 = all_12_5 % 64.69/10.20 (2) ~ (all_12_5 = e12) % 64.69/10.20 (3) ~ (all_12_5 = e11) % 64.69/10.20 (4) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 64.69/10.20 (5) ~ (all_12_5 = e10) % 64.69/10.20 % 64.69/10.20 Begin of proof % 64.69/10.20 | % 64.69/10.20 | BETA: splitting (4) gives: % 64.69/10.20 | % 64.69/10.20 | Case 1: % 64.69/10.20 | | % 64.69/10.20 | | (6) all_16_5 = e12 % 64.69/10.20 | | % 64.69/10.20 | | COMBINE_EQS: (1), (6) imply: % 64.69/10.20 | | (7) all_12_5 = e12 % 64.69/10.20 | | % 64.69/10.20 | | REDUCE: (2), (7) imply: % 64.69/10.20 | | (8) $false % 64.69/10.20 | | % 64.69/10.20 | | CLOSE: (8) is inconsistent. % 64.69/10.20 | | % 64.69/10.20 | Case 2: % 64.69/10.20 | | % 64.69/10.20 | | (9) all_16_5 = e11 | all_16_5 = e10 % 64.69/10.20 | | % 64.69/10.20 | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #124. % 64.69/10.20 | | % 64.69/10.20 | End of split % 64.69/10.20 | % 64.69/10.20 End of proof % 64.69/10.20 % 64.69/10.20 Sub-proof #124 shows that the following formulas are inconsistent: % 64.69/10.20 ---------------------------------------------------------------- % 64.69/10.20 (1) all_16_5 = e11 | all_16_5 = e10 % 64.69/10.20 (2) all_16_5 = all_12_5 % 64.69/10.20 (3) ~ (all_12_5 = e11) % 64.69/10.20 (4) ~ (all_12_5 = e10) % 64.69/10.20 % 64.69/10.20 Begin of proof % 64.69/10.20 | % 64.69/10.20 | BETA: splitting (1) gives: % 64.69/10.20 | % 64.69/10.20 | Case 1: % 64.69/10.20 | | % 64.69/10.20 | | (5) all_16_5 = e11 % 64.69/10.20 | | % 64.69/10.20 | | COMBINE_EQS: (2), (5) imply: % 64.69/10.20 | | (6) all_12_5 = e11 % 64.69/10.20 | | % 64.69/10.20 | | REDUCE: (3), (6) imply: % 64.69/10.20 | | (7) $false % 64.69/10.20 | | % 64.69/10.20 | | CLOSE: (7) is inconsistent. % 64.69/10.20 | | % 64.69/10.20 | Case 2: % 64.69/10.20 | | % 64.69/10.20 | | (8) all_16_5 = e10 % 64.69/10.20 | | % 64.69/10.20 | | COMBINE_EQS: (2), (8) imply: % 64.69/10.20 | | (9) all_12_5 = e10 % 64.69/10.20 | | % 64.69/10.20 | | REDUCE: (4), (9) imply: % 64.69/10.20 | | (10) $false % 64.69/10.20 | | % 64.69/10.20 | | CLOSE: (10) is inconsistent. % 64.69/10.20 | | % 64.69/10.20 | End of split % 64.69/10.20 | % 64.69/10.20 End of proof % 64.69/10.20 % 64.69/10.20 Sub-proof #125 shows that the following formulas are inconsistent: % 64.69/10.20 ---------------------------------------------------------------- % 64.69/10.20 (1) all_24_13 = all_12_7 % 64.69/10.20 (2) all_24_13 = e12 % 64.69/10.20 (3) ~ (all_12_7 = e12) % 64.69/10.20 % 64.69/10.20 Begin of proof % 64.69/10.20 | % 64.69/10.20 | COMBINE_EQS: (1), (2) imply: % 64.69/10.20 | (4) all_12_7 = e12 % 64.69/10.20 | % 64.69/10.20 | SIMP: (4) implies: % 64.69/10.20 | (5) all_12_7 = e12 % 64.69/10.20 | % 64.69/10.20 | REDUCE: (3), (5) imply: % 64.69/10.20 | (6) $false % 64.69/10.20 | % 64.69/10.20 | CLOSE: (6) is inconsistent. % 64.69/10.20 | % 64.69/10.20 End of proof % 64.69/10.20 % 64.69/10.20 Sub-proof #126 shows that the following formulas are inconsistent: % 64.69/10.20 ---------------------------------------------------------------- % 64.69/10.20 (1) (all_20_25 = e13 & ~ (all_20_1 = e10) & ~ (all_20_7 = e13) & ~ % 64.69/10.20 (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.69/10.20 (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_11 = e10) & ~ % 64.69/10.20 (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.69/10.20 (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.69/10.20 (all_20_21 = e10) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.69/10.20 (2) all_20_31 = e10 % 64.69/10.20 % 64.69/10.20 Begin of proof % 64.69/10.20 | % 64.69/10.20 | BETA: splitting (1) gives: % 64.69/10.20 | % 64.69/10.20 | Case 1: % 64.69/10.20 | | % 64.69/10.20 | | (3) all_20_25 = e13 & ~ (all_20_1 = e10) & ~ (all_20_7 = e13) & ~ % 64.69/10.20 | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10) % 64.69/10.21 | | % 64.69/10.21 | | ALPHA: (3) implies: % 64.69/10.21 | | (4) ~ (all_20_31 = e10) % 64.69/10.21 | | % 64.69/10.21 | | REDUCE: (2), (4) imply: % 64.69/10.21 | | (5) $false % 64.69/10.21 | | % 64.69/10.21 | | CLOSE: (5) is inconsistent. % 64.69/10.21 | | % 64.69/10.21 | Case 2: % 64.69/10.21 | | % 64.69/10.21 | | (6) (all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_11 = e10) & ~ % 64.69/10.21 | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) | % 64.69/10.21 | | (all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.69/10.21 | | (all_20_21 = e10) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) % 64.69/10.21 | | % 64.69/10.21 | | BETA: splitting (6) gives: % 64.69/10.21 | | % 64.69/10.21 | | Case 1: % 64.69/10.21 | | | % 64.69/10.21 | | | (7) all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_11 = e10) & ~ % 64.69/10.21 | | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10) % 64.69/10.21 | | | % 64.69/10.21 | | | ALPHA: (7) implies: % 64.69/10.21 | | | (8) ~ (all_20_31 = e10) % 64.69/10.21 | | | % 64.69/10.21 | | | REDUCE: (2), (8) imply: % 64.69/10.21 | | | (9) $false % 64.69/10.21 | | | % 64.69/10.21 | | | CLOSE: (9) is inconsistent. % 64.69/10.21 | | | % 64.69/10.21 | | Case 2: % 64.69/10.21 | | | % 64.69/10.21 | | | (10) all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ % 64.69/10.21 | | | (all_20_21 = e10) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10) % 64.69/10.21 | | | % 64.69/10.21 | | | ALPHA: (10) implies: % 64.69/10.21 | | | (11) ~ (all_20_31 = e10) % 64.69/10.21 | | | % 64.69/10.21 | | | REDUCE: (2), (11) imply: % 64.69/10.21 | | | (12) $false % 64.69/10.21 | | | % 64.69/10.21 | | | CLOSE: (12) is inconsistent. % 64.69/10.21 | | | % 64.69/10.21 | | End of split % 64.69/10.21 | | % 64.69/10.21 | End of split % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #127 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_11 = e11) & ~ % 64.69/10.21 (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10) % 64.69/10.21 (2) all_20_19 = all_12_9 % 64.69/10.21 (3) ~ (all_12_9 = e12) % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | ALPHA: (1) implies: % 64.69/10.21 | (4) all_20_19 = e12 % 64.69/10.21 | % 64.69/10.21 | COMBINE_EQS: (2), (4) imply: % 64.69/10.21 | (5) all_12_9 = e12 % 64.69/10.21 | % 64.69/10.21 | SIMP: (5) implies: % 64.69/10.21 | (6) all_12_9 = e12 % 64.69/10.21 | % 64.69/10.21 | REDUCE: (3), (6) imply: % 64.69/10.21 | (7) $false % 64.69/10.21 | % 64.69/10.21 | CLOSE: (7) is inconsistent. % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #128 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_5 = e13) & ~ % 64.69/10.21 (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10) % 64.69/10.21 (2) all_20_17 = e12 % 64.69/10.21 (3) ~ (e13 = e12) % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | ALPHA: (1) implies: % 64.69/10.21 | (4) all_20_17 = e13 % 64.69/10.21 | % 64.69/10.21 | COMBINE_EQS: (2), (4) imply: % 64.69/10.21 | (5) e13 = e12 % 64.69/10.21 | % 64.69/10.21 | REDUCE: (3), (5) imply: % 64.69/10.21 | (6) $false % 64.69/10.21 | % 64.69/10.21 | CLOSE: (6) is inconsistent. % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #129 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_3 = e13) & ~ % 64.69/10.21 (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10) % 64.69/10.21 (2) all_20_9 = e10 % 64.69/10.21 (3) ~ (e13 = e10) % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | ALPHA: (1) implies: % 64.69/10.21 | (4) all_20_9 = e13 % 64.69/10.21 | % 64.69/10.21 | COMBINE_EQS: (2), (4) imply: % 64.69/10.21 | (5) e13 = e10 % 64.69/10.21 | % 64.69/10.21 | REDUCE: (3), (5) imply: % 64.69/10.21 | (6) $false % 64.69/10.21 | % 64.69/10.21 | CLOSE: (6) is inconsistent. % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #130 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) ~ (all_12_1 = e12) % 64.69/10.21 (2) all_20_3 = all_12_1 % 64.69/10.21 (3) ~ (all_12_2 = e11) % 64.69/10.21 (4) ~ (e12 = e10) % 64.69/10.21 (5) (all_20_3 = e12 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 (all_20_11 = e13) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) | % 64.69/10.21 (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.69/10.21 (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) % 64.69/10.21 (6) all_20_7 = e12 % 64.69/10.21 (7) all_20_5 = all_12_2 % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | BETA: splitting (5) gives: % 64.69/10.21 | % 64.69/10.21 | Case 1: % 64.69/10.21 | | % 64.69/10.21 | | (8) all_20_3 = e12 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 | | (all_20_11 = e13) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10) % 64.69/10.21 | | % 64.69/10.21 | | ALPHA: (8) implies: % 64.69/10.21 | | (9) all_20_3 = e12 % 64.69/10.21 | | % 64.69/10.21 | | COMBINE_EQS: (2), (9) imply: % 64.69/10.21 | | (10) all_12_1 = e12 % 64.69/10.21 | | % 64.69/10.21 | | SIMP: (10) implies: % 64.69/10.21 | | (11) all_12_1 = e12 % 64.69/10.21 | | % 64.69/10.21 | | REDUCE: (1), (11) imply: % 64.69/10.21 | | (12) $false % 64.69/10.21 | | % 64.69/10.21 | | CLOSE: (12) is inconsistent. % 64.69/10.21 | | % 64.69/10.21 | Case 2: % 64.69/10.21 | | % 64.69/10.21 | | (13) (all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 | | (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10)) | % 64.69/10.21 | | (all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 | | (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13)) % 64.69/10.21 | | % 64.69/10.21 | | BETA: splitting (13) gives: % 64.69/10.21 | | % 64.69/10.21 | | Case 1: % 64.69/10.21 | | | % 64.69/10.21 | | | (14) all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 | | | (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10) % 64.69/10.21 | | | % 64.69/10.21 | | | REF_CLOSE: (3), (7), (14) are inconsistent by sub-proof #131. % 64.69/10.21 | | | % 64.69/10.21 | | Case 2: % 64.69/10.21 | | | % 64.69/10.21 | | | (15) all_20_7 = e10 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 | | | (all_20_17 = e11) & ~ (all_20_25 = e10) & ~ (all_20_31 = e13) % 64.69/10.21 | | | % 64.69/10.21 | | | ALPHA: (15) implies: % 64.69/10.21 | | | (16) all_20_7 = e10 % 64.69/10.21 | | | % 64.69/10.21 | | | COMBINE_EQS: (6), (16) imply: % 64.69/10.21 | | | (17) e12 = e10 % 64.69/10.21 | | | % 64.69/10.21 | | | SIMP: (17) implies: % 64.69/10.21 | | | (18) e12 = e10 % 64.69/10.21 | | | % 64.69/10.21 | | | REDUCE: (4), (18) imply: % 64.69/10.21 | | | (19) $false % 64.69/10.21 | | | % 64.69/10.21 | | | CLOSE: (19) is inconsistent. % 64.69/10.21 | | | % 64.69/10.21 | | End of split % 64.69/10.21 | | % 64.69/10.21 | End of split % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #131 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) all_20_5 = e11 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ % 64.69/10.21 (all_20_17 = e11) & ~ (all_20_21 = e13) & ~ (all_20_25 = e10) % 64.69/10.21 (2) all_20_5 = all_12_2 % 64.69/10.21 (3) ~ (all_12_2 = e11) % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | ALPHA: (1) implies: % 64.69/10.21 | (4) all_20_5 = e11 % 64.69/10.21 | % 64.69/10.21 | COMBINE_EQS: (2), (4) imply: % 64.69/10.21 | (5) all_12_2 = e11 % 64.69/10.21 | % 64.69/10.21 | SIMP: (5) implies: % 64.69/10.21 | (6) all_12_2 = e11 % 64.69/10.21 | % 64.69/10.21 | REDUCE: (3), (6) imply: % 64.69/10.21 | (7) $false % 64.69/10.21 | % 64.69/10.21 | CLOSE: (7) is inconsistent. % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #132 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) all_24_12 = e12 % 64.69/10.21 (2) all_24_12 = e11 % 64.69/10.21 (3) ~ (e12 = e11) % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | COMBINE_EQS: (1), (2) imply: % 64.69/10.21 | (4) e12 = e11 % 64.69/10.21 | % 64.69/10.21 | SIMP: (4) implies: % 64.69/10.21 | (5) e12 = e11 % 64.69/10.21 | % 64.69/10.21 | REDUCE: (3), (5) imply: % 64.69/10.21 | (6) $false % 64.69/10.21 | % 64.69/10.21 | CLOSE: (6) is inconsistent. % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #133 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) all_16_12 = all_12_3 % 64.69/10.21 (2) all_16_12 = e13 % 64.69/10.21 (3) ~ (all_12_3 = e13) % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | COMBINE_EQS: (1), (2) imply: % 64.69/10.21 | (4) all_12_3 = e13 % 64.69/10.21 | % 64.69/10.21 | SIMP: (4) implies: % 64.69/10.21 | (5) all_12_3 = e13 % 64.69/10.21 | % 64.69/10.21 | REDUCE: (3), (5) imply: % 64.69/10.21 | (6) $false % 64.69/10.21 | % 64.69/10.21 | CLOSE: (6) is inconsistent. % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % 64.69/10.21 Sub-proof #134 shows that the following formulas are inconsistent: % 64.69/10.21 ---------------------------------------------------------------- % 64.69/10.21 (1) all_26_0 = e23 % 64.69/10.21 (2) all_26_0 = e21 % 64.69/10.21 (3) ~ (e23 = e21) % 64.69/10.21 % 64.69/10.21 Begin of proof % 64.69/10.21 | % 64.69/10.21 | COMBINE_EQS: (1), (2) imply: % 64.69/10.21 | (4) e23 = e21 % 64.69/10.21 | % 64.69/10.21 | SIMP: (4) implies: % 64.69/10.21 | (5) e23 = e21 % 64.69/10.21 | % 64.69/10.21 | REDUCE: (3), (5) imply: % 64.69/10.21 | (6) $false % 64.69/10.21 | % 64.69/10.21 | CLOSE: (6) is inconsistent. % 64.69/10.21 | % 64.69/10.21 End of proof % 64.69/10.21 % SZS output end Proof for theBenchmark % 64.69/10.21 % 64.69/10.21 9593ms %------------------------------------------------------------------------------