%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG054+1 : TPTP v8.1.2. Released v2.7.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:36:01 EDT 2023 % Result : Theorem 12.10s 2.31s % Output : Proof 26.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ALG054+1 : TPTP v8.1.2. Released v2.7.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n009.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Mon Aug 28 05:36:05 EDT 2023 % 0.12/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.32/1.48 Prover 4: Preprocessing ... % 5.32/1.48 Prover 1: Preprocessing ... % 5.81/1.51 Prover 5: Preprocessing ... % 5.81/1.51 Prover 6: Preprocessing ... % 5.81/1.51 Prover 2: Preprocessing ... % 5.81/1.51 Prover 3: Preprocessing ... % 5.81/1.51 Prover 0: Preprocessing ... % 9.52/2.00 Prover 2: Constructing countermodel ... % 9.52/2.00 Prover 1: Constructing countermodel ... % 9.76/2.01 Prover 4: Constructing countermodel ... % 9.76/2.02 Prover 3: Constructing countermodel ... % 9.91/2.07 Prover 0: Constructing countermodel ... % 9.91/2.08 Prover 6: Constructing countermodel ... % 12.10/2.31 Prover 2: proved (1669ms) % 12.10/2.31 % 12.10/2.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.10/2.31 % 12.10/2.31 Prover 6: stopped % 12.10/2.32 Prover 3: stopped % 12.23/2.33 Prover 0: stopped % 12.23/2.33 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.23/2.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.23/2.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.23/2.33 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 13.55/2.57 Prover 7: Preprocessing ... % 14.25/2.59 Prover 8: Preprocessing ... % 14.41/2.61 Prover 11: Preprocessing ... % 14.48/2.64 Prover 10: Preprocessing ... % 14.48/2.68 Prover 8: Constructing countermodel ... % 15.21/2.75 Prover 5: Constructing countermodel ... % 15.21/2.76 Prover 5: stopped % 15.21/2.76 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.83/2.80 Prover 7: Constructing countermodel ... % 15.83/2.85 Prover 11: Constructing countermodel ... % 15.83/2.85 Prover 13: Preprocessing ... % 15.83/2.86 Prover 10: Constructing countermodel ... % 17.61/3.05 Prover 13: Constructing countermodel ... % 23.62/3.85 Prover 4: Found proof (size 1071) % 23.62/3.85 Prover 4: proved (3215ms) % 23.62/3.85 Prover 7: stopped % 23.62/3.85 Prover 11: stopped % 23.62/3.85 Prover 8: stopped % 23.62/3.85 Prover 10: stopped % 23.62/3.85 Prover 13: stopped % 23.62/3.85 Prover 1: stopped % 23.62/3.85 % 23.62/3.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 23.62/3.85 % 24.81/4.03 % SZS output start Proof for theBenchmark % 24.81/4.04 Assumptions after simplification: % 24.81/4.04 --------------------------------- % 24.81/4.04 % 24.81/4.04 (ax1) % 25.12/4.09 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.09 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.09 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.09 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.09 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.09 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 25.12/4.09 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 25.12/4.09 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) = % 25.12/4.09 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) = % 25.12/4.09 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 % 25.12/4.09 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 25.12/4.09 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 25.12/4.09 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 25.12/4.09 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.12/4.09 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | % 25.12/4.09 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = % 25.12/4.09 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & % 25.12/4.09 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 = % 25.12/4.09 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | % 25.12/4.09 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 = % 25.12/4.09 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 | % 25.12/4.09 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 = % 25.12/4.09 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 | % 25.12/4.09 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 % 25.12/4.09 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | % 25.12/4.09 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = % 25.12/4.09 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = % 25.12/4.09 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 % 25.12/4.09 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & % 25.12/4.09 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 % 25.12/4.09 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = % 25.12/4.09 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 = % 25.12/4.09 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 % 25.12/4.09 | v0 = e0)) % 25.12/4.09 % 25.12/4.09 (ax2) % 25.12/4.09 op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 % 25.12/4.09 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) = % 25.12/4.09 e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) & % 25.12/4.09 $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | % 25.12/4.09 unit = e0) % 25.12/4.09 % 25.12/4.09 (ax3) % 25.12/4.10 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.10 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.10 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.10 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.10 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.10 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 25.12/4.10 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) = % 25.12/4.10 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) = % 25.12/4.10 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) = % 25.12/4.10 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) = % 25.12/4.10 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 25.12/4.10 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 25.12/4.10 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 25.12/4.10 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.12/4.10 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | % 25.12/4.10 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = % 25.12/4.10 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) & % 25.12/4.10 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2 % 25.12/4.10 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 = % 25.12/4.10 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & % 25.12/4.10 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 % 25.12/4.10 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = % 25.12/4.10 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & % 25.12/4.10 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 % 25.12/4.10 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = % 25.12/4.10 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) & % 25.12/4.10 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3 % 25.12/4.10 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 = % 25.12/4.10 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & % 25.12/4.10 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 % 25.12/4.10 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = % 25.12/4.10 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & % 25.12/4.10 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 % 25.12/4.10 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = % 25.12/4.10 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) & % 25.12/4.10 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1 % 25.12/4.10 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 = % 25.12/4.10 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & % 25.12/4.10 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 % 25.12/4.10 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = % 25.12/4.10 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & % 25.12/4.10 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 % 25.12/4.10 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = % 25.12/4.10 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & % 25.12/4.10 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | % 25.12/4.10 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 % 25.12/4.10 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 % 25.12/4.10 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = % 25.12/4.10 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = % 25.12/4.10 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 % 25.12/4.10 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) % 25.12/4.10 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0)))) % 25.12/4.10 % 25.12/4.10 (ax4) % 25.12/4.11 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.11 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.11 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.11 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.11 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.11 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 25.12/4.11 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 = % 25.12/4.11 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) & % 25.12/4.11 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 = % 25.12/4.11 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) & % 25.12/4.11 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 = % 25.12/4.11 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ % 25.12/4.11 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = % 25.12/4.11 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & % 25.12/4.11 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = % 25.12/4.11 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) & % 25.12/4.11 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 = % 25.12/4.11 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) & % 25.12/4.11 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 = % 25.12/4.11 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & % 25.12/4.11 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = % 25.12/4.11 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ % 25.12/4.11 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ % 25.12/4.11 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~ % 25.12/4.11 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~ % 25.12/4.11 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ % 25.12/4.11 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & % 25.12/4.11 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 & % 25.12/4.11 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & % 25.12/4.11 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & % 25.12/4.11 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & % 25.12/4.11 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 25.12/4.11 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & % 25.12/4.11 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) % 25.12/4.11 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 25.12/4.11 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 25.12/4.11 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 25.12/4.11 % 25.12/4.11 (ax6) % 25.12/4.11 op(e4, e4) = e2 & op(e2, e2) = e3 & op(e1, e2) = e0 & op(e1, e1) = e4 & $i(e4) % 25.12/4.11 & $i(e3) & $i(e2) & $i(e1) & $i(e0) % 25.12/4.11 % 25.12/4.11 (co1) % 25.12/4.12 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 25.12/4.12 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 25.12/4.12 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 25.12/4.12 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 25.12/4.12 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 25.12/4.12 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v4 & op(e4, e3) = v24 & op(e4, e2) = % 25.12/4.12 v23 & op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v20 & op(e3, e3) = % 25.12/4.12 v3 & op(e3, e2) = v19 & op(e3, e1) = v18 & op(e3, e0) = v17 & op(e2, e4) = % 25.12/4.12 v16 & op(e2, e3) = v15 & op(e2, e2) = v2 & op(e2, e1) = v14 & op(e2, e0) = % 25.12/4.12 v13 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) = % 25.12/4.12 v1 & op(e1, e0) = v9 & op(e0, e4) = v8 & op(e0, e3) = v7 & op(e0, e2) = v6 & % 25.12/4.12 op(e0, e1) = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 25.12/4.12 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 25.12/4.12 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.12/4.12 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v4 = e3) | v24 = % 25.12/4.12 e4) & ( ~ (v4 = e2) | v23 = e4) & ( ~ (v4 = e1) | v22 = e4) & ( ~ (v4 = % 25.12/4.12 e0) | v21 = e4) & ( ~ (v3 = e4) | v20 = e3) & ( ~ (v3 = e2) | v19 = e3) % 25.12/4.12 & ( ~ (v3 = e1) | v18 = e3) & ( ~ (v3 = e0) | v17 = e3) & ( ~ (v2 = e4) | % 25.12/4.12 v16 = e2) & ( ~ (v2 = e3) | v15 = e2) & ( ~ (v2 = e1) | v14 = e2) & ( ~ % 25.12/4.12 (v2 = e0) | v13 = e2) & ( ~ (v1 = e4) | v12 = e1) & ( ~ (v1 = e3) | v11 = % 25.12/4.12 e1) & ( ~ (v1 = e2) | v10 = e1) & ( ~ (v1 = e0) | v9 = e1) & ( ~ (v0 = e4) % 25.12/4.12 | v8 = e0) & ( ~ (v0 = e3) | v7 = e0) & ( ~ (v0 = e2) | v6 = e0) & ( ~ (v0 % 25.12/4.12 = e1) | v5 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & % 25.12/4.12 (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 % 25.12/4.12 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = % 25.12/4.12 e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0)) % 25.12/4.12 % 25.12/4.12 (function-axioms) % 25.12/4.12 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 25.12/4.12 v2) = v1) | ~ (op(v3, v2) = v0)) % 25.12/4.12 % 25.12/4.12 Further assumptions not needed in the proof: % 25.12/4.12 -------------------------------------------- % 25.12/4.12 ax5 % 25.12/4.12 % 25.12/4.12 Those formulas are unsatisfiable: % 25.12/4.12 --------------------------------- % 25.12/4.12 % 25.12/4.12 Begin of proof % 25.12/4.12 | % 25.12/4.12 | ALPHA: (ax1) implies: % 25.12/4.13 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.12/4.13 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 25.12/4.13 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 25.12/4.13 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 25.12/4.13 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 25.12/4.13 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 & % 25.12/4.13 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 25.12/4.13 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, % 25.12/4.13 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 % 25.12/4.13 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = % 25.12/4.13 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) % 25.12/4.13 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) % 25.12/4.13 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) % 25.12/4.13 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 25.12/4.13 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 25.12/4.13 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1 % 25.12/4.13 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 = % 25.12/4.13 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21 % 25.12/4.13 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 % 25.12/4.13 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 % 25.12/4.13 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 % 25.12/4.13 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 % 25.12/4.13 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & % 25.12/4.13 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 | % 25.12/4.13 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 | % 25.12/4.13 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 | % 25.12/4.13 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 | % 25.12/4.13 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) % 25.12/4.13 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = % 25.12/4.13 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 | % 25.12/4.13 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = % 25.12/4.13 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 % 25.12/4.13 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 % 25.12/4.13 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 % 25.12/4.13 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & % 25.12/4.13 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0)) % 25.12/4.13 | % 25.12/4.13 | ALPHA: (ax2) implies: % 25.12/4.13 | (2) op(e0, unit) = e0 % 25.12/4.13 | (3) op(e1, unit) = e1 % 25.12/4.13 | (4) op(e2, unit) = e2 % 25.12/4.13 | (5) op(e3, unit) = e3 % 25.12/4.13 | (6) op(e4, unit) = e4 % 25.12/4.13 | (7) op(unit, e1) = e1 % 25.12/4.13 | (8) op(unit, e2) = e2 % 25.12/4.14 | (9) op(unit, e3) = e3 % 25.12/4.14 | (10) op(unit, e4) = e4 % 25.12/4.14 | (11) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 25.12/4.14 | % 25.12/4.14 | ALPHA: (ax3) implies: % 25.12/4.15 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.12/4.15 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 25.12/4.15 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 25.12/4.15 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 25.12/4.15 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 25.12/4.15 | : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 25.12/4.15 | v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, % 25.12/4.15 | e3) = v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 % 25.12/4.15 | & op(e2, e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, % 25.12/4.15 | e1) = v13 & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11 % 25.12/4.15 | & op(e1, e2) = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4) % 25.12/4.15 | = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, % 25.12/4.15 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 25.12/4.15 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 25.12/4.15 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.12/4.15 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | % 25.12/4.15 | v23 = e4 | v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | % 25.12/4.15 | v18 = e4 | v12 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | % 25.12/4.15 | v15 = e3 | v8 = e3) & (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | % 25.12/4.15 | v4 = e3) & (v24 = e2 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) & % 25.12/4.15 | (v24 = e2 | v22 = e2 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 | % 25.12/4.15 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 | % 25.12/4.15 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 | % 25.12/4.15 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 | % 25.12/4.15 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & % 25.12/4.15 | (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | % 25.12/4.15 | v21 = e2 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | % 25.12/4.15 | v17 = e1 | v11 = e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | % 25.12/4.15 | v11 = e0 | v3 = e0) & (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | % 25.12/4.15 | v7 = e4) & (v22 = e3 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) & % 25.12/4.15 | (v22 = e2 | v21 = e2 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 | % 25.12/4.15 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 | % 25.12/4.15 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 | % 25.12/4.15 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 | % 25.12/4.15 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & % 25.12/4.15 | (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | % 25.12/4.15 | v19 = e0 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | % 25.12/4.15 | v16 = e4 | v13 = e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | % 25.12/4.15 | v13 = e3 | v6 = e3) & (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | % 25.12/4.15 | v6 = e2) & (v18 = e1 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) & % 25.12/4.15 | (v18 = e0 | v17 = e0 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 | % 25.12/4.15 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 | % 25.12/4.15 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | % 25.12/4.15 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = e1 | % 25.12/4.15 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & % 25.12/4.15 | (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | % 25.12/4.15 | v11 = e3 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | % 25.12/4.15 | v10 = e2 | v9 = e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | % 25.12/4.15 | v9 = e1 | v5 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | % 25.12/4.15 | v5 = e0) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4 | v0 = e4) & (v8 % 25.12/4.15 | = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 = e3) & (v8 = e2 | v7 = e2 % 25.12/4.15 | | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5 % 25.12/4.15 | = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = % 25.12/4.15 | e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 % 25.12/4.15 | | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 % 25.12/4.15 | = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = % 25.12/4.15 | e0 | v5 = e0) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0)))) % 25.12/4.15 | % 25.12/4.15 | ALPHA: (ax4) implies: % 25.12/4.15 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.12/4.15 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 25.12/4.15 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 25.12/4.15 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 25.12/4.15 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 25.12/4.15 | : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 25.12/4.15 | ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ % 25.12/4.15 | (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ % 25.12/4.15 | (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ % 25.12/4.15 | (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ % 25.12/4.15 | (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~ % 25.12/4.15 | (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~ % 25.12/4.15 | (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~ % 25.12/4.15 | (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~ % 25.12/4.15 | (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ % 25.12/4.15 | (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ % 25.12/4.15 | (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ % 25.12/4.15 | (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ % 25.12/4.15 | (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ % 25.12/4.15 | (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~ % 25.12/4.15 | (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~ % 25.12/4.15 | (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~ % 25.12/4.15 | (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~ % 25.12/4.15 | (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9 % 25.12/4.15 | = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) % 25.12/4.15 | & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 % 25.12/4.15 | = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) % 25.12/4.15 | & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 % 25.12/4.15 | = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) % 25.12/4.15 | & ~ (v2 = v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 % 25.12/4.15 | & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) % 25.12/4.15 | = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & % 25.12/4.15 | op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = % 25.12/4.15 | v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, % 25.12/4.15 | e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 25.12/4.15 | op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) % 25.12/4.15 | = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 25.12/4.15 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 25.12/4.15 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 25.12/4.15 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 25.12/4.15 | % 25.12/4.15 | ALPHA: (ax6) implies: % 25.12/4.15 | (14) op(e1, e1) = e4 % 25.12/4.15 | (15) op(e1, e2) = e0 % 25.12/4.15 | (16) op(e2, e2) = e3 % 25.12/4.15 | (17) op(e4, e4) = e2 % 25.12/4.15 | % 25.12/4.15 | ALPHA: (co1) implies: % 25.12/4.16 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 25.12/4.16 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 25.12/4.16 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 25.12/4.16 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 25.12/4.16 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 25.12/4.16 | : ? [v24: $i] : (op(e4, e4) = v4 & op(e4, e3) = v24 & op(e4, e2) = % 25.12/4.16 | v23 & op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v20 & % 25.12/4.16 | op(e3, e3) = v3 & op(e3, e2) = v19 & op(e3, e1) = v18 & op(e3, e0) = % 25.12/4.16 | v17 & op(e2, e4) = v16 & op(e2, e3) = v15 & op(e2, e2) = v2 & op(e2, % 25.12/4.16 | e1) = v14 & op(e2, e0) = v13 & op(e1, e4) = v12 & op(e1, e3) = v11 % 25.12/4.16 | & op(e1, e2) = v10 & op(e1, e1) = v1 & op(e1, e0) = v9 & op(e0, e4) % 25.12/4.16 | = v8 & op(e0, e3) = v7 & op(e0, e2) = v6 & op(e0, e1) = v5 & op(e0, % 25.12/4.16 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 25.12/4.16 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 25.12/4.16 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 25.12/4.16 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v4 = e3) % 25.12/4.16 | | v24 = e4) & ( ~ (v4 = e2) | v23 = e4) & ( ~ (v4 = e1) | v22 = % 25.12/4.16 | e4) & ( ~ (v4 = e0) | v21 = e4) & ( ~ (v3 = e4) | v20 = e3) & ( ~ % 25.12/4.16 | (v3 = e2) | v19 = e3) & ( ~ (v3 = e1) | v18 = e3) & ( ~ (v3 = e0) % 25.12/4.16 | | v17 = e3) & ( ~ (v2 = e4) | v16 = e2) & ( ~ (v2 = e3) | v15 = % 25.12/4.16 | e2) & ( ~ (v2 = e1) | v14 = e2) & ( ~ (v2 = e0) | v13 = e2) & ( ~ % 25.12/4.16 | (v1 = e4) | v12 = e1) & ( ~ (v1 = e3) | v11 = e1) & ( ~ (v1 = e2) % 25.12/4.16 | | v10 = e1) & ( ~ (v1 = e0) | v9 = e1) & ( ~ (v0 = e4) | v8 = e0) % 25.12/4.16 | & ( ~ (v0 = e3) | v7 = e0) & ( ~ (v0 = e2) | v6 = e0) & ( ~ (v0 = % 25.12/4.16 | e1) | v5 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = % 25.12/4.16 | e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 % 25.12/4.16 | | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 % 25.12/4.16 | = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0 % 25.12/4.16 | | v0 = e0)) % 25.12/4.16 | % 25.12/4.16 | DELTA: instantiating (18) with fresh symbols all_4_0, all_4_1, all_4_2, % 25.12/4.16 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 25.12/4.16 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 25.12/4.16 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 25.12/4.16 | all_4_24 gives: % 25.12/4.16 | (19) op(e4, e4) = all_4_20 & op(e4, e3) = all_4_0 & op(e4, e2) = all_4_1 & % 25.12/4.16 | op(e4, e1) = all_4_2 & op(e4, e0) = all_4_3 & op(e3, e4) = all_4_4 & % 25.12/4.16 | op(e3, e3) = all_4_21 & op(e3, e2) = all_4_5 & op(e3, e1) = all_4_6 & % 25.12/4.16 | op(e3, e0) = all_4_7 & op(e2, e4) = all_4_8 & op(e2, e3) = all_4_9 & % 25.12/4.16 | op(e2, e2) = all_4_22 & op(e2, e1) = all_4_10 & op(e2, e0) = all_4_11 % 25.12/4.16 | & op(e1, e4) = all_4_12 & op(e1, e3) = all_4_13 & op(e1, e2) = % 25.12/4.16 | all_4_14 & op(e1, e1) = all_4_23 & op(e1, e0) = all_4_15 & op(e0, e4) % 25.12/4.16 | = all_4_16 & op(e0, e3) = all_4_17 & op(e0, e2) = all_4_18 & op(e0, % 25.12/4.16 | e1) = all_4_19 & op(e0, e0) = all_4_24 & $i(all_4_0) & $i(all_4_1) & % 25.12/4.16 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & % 25.12/4.16 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) % 25.12/4.16 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & % 25.12/4.16 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & % 25.12/4.16 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & % 25.12/4.16 | $i(all_4_24) & ( ~ (all_4_20 = e3) | all_4_0 = e4) & ( ~ (all_4_20 = % 25.12/4.16 | e2) | all_4_1 = e4) & ( ~ (all_4_20 = e1) | all_4_2 = e4) & ( ~ % 25.12/4.16 | (all_4_20 = e0) | all_4_3 = e4) & ( ~ (all_4_21 = e4) | all_4_4 = % 25.12/4.16 | e3) & ( ~ (all_4_21 = e2) | all_4_5 = e3) & ( ~ (all_4_21 = e1) | % 25.12/4.16 | all_4_6 = e3) & ( ~ (all_4_21 = e0) | all_4_7 = e3) & ( ~ (all_4_22 % 25.12/4.16 | = e4) | all_4_8 = e2) & ( ~ (all_4_22 = e3) | all_4_9 = e2) & ( ~ % 25.12/4.16 | (all_4_22 = e1) | all_4_10 = e2) & ( ~ (all_4_22 = e0) | all_4_11 = % 25.12/4.16 | e2) & ( ~ (all_4_23 = e4) | all_4_12 = e1) & ( ~ (all_4_23 = e3) | % 25.12/4.16 | all_4_13 = e1) & ( ~ (all_4_23 = e2) | all_4_14 = e1) & ( ~ % 25.12/4.16 | (all_4_23 = e0) | all_4_15 = e1) & ( ~ (all_4_24 = e4) | all_4_16 = % 25.12/4.16 | e0) & ( ~ (all_4_24 = e3) | all_4_17 = e0) & ( ~ (all_4_24 = e2) | % 25.12/4.16 | all_4_18 = e0) & ( ~ (all_4_24 = e1) | all_4_19 = e0) & (all_4_20 = % 25.12/4.16 | e4 | all_4_21 = e4 | all_4_22 = e4 | all_4_23 = e4 | all_4_24 = e4) % 25.12/4.16 | & (all_4_20 = e3 | all_4_21 = e3 | all_4_22 = e3 | all_4_23 = e3 | % 25.12/4.16 | all_4_24 = e3) & (all_4_20 = e2 | all_4_21 = e2 | all_4_22 = e2 | % 25.12/4.16 | all_4_23 = e2 | all_4_24 = e2) & (all_4_20 = e1 | all_4_21 = e1 | % 25.12/4.16 | all_4_22 = e1 | all_4_23 = e1 | all_4_24 = e1) & (all_4_20 = e0 | % 25.12/4.16 | all_4_21 = e0 | all_4_22 = e0 | all_4_23 = e0 | all_4_24 = e0) % 25.12/4.16 | % 25.12/4.16 | ALPHA: (19) implies: % 25.12/4.16 | (20) op(e0, e0) = all_4_24 % 25.12/4.16 | (21) op(e0, e1) = all_4_19 % 25.12/4.16 | (22) op(e0, e2) = all_4_18 % 25.12/4.16 | (23) op(e0, e3) = all_4_17 % 25.12/4.16 | (24) op(e0, e4) = all_4_16 % 25.12/4.16 | (25) op(e1, e0) = all_4_15 % 25.12/4.16 | (26) op(e1, e1) = all_4_23 % 25.12/4.17 | (27) op(e1, e2) = all_4_14 % 25.12/4.17 | (28) op(e1, e3) = all_4_13 % 25.12/4.17 | (29) op(e1, e4) = all_4_12 % 25.12/4.17 | (30) op(e2, e0) = all_4_11 % 25.12/4.17 | (31) op(e2, e1) = all_4_10 % 25.12/4.17 | (32) op(e2, e2) = all_4_22 % 25.12/4.17 | (33) op(e2, e3) = all_4_9 % 25.12/4.17 | (34) op(e2, e4) = all_4_8 % 25.12/4.17 | (35) op(e3, e0) = all_4_7 % 25.12/4.17 | (36) op(e3, e1) = all_4_6 % 25.12/4.17 | (37) op(e3, e2) = all_4_5 % 25.12/4.17 | (38) op(e3, e3) = all_4_21 % 25.12/4.17 | (39) op(e3, e4) = all_4_4 % 25.12/4.17 | (40) op(e4, e0) = all_4_3 % 25.12/4.17 | (41) op(e4, e1) = all_4_2 % 25.12/4.17 | (42) op(e4, e2) = all_4_1 % 25.12/4.17 | (43) op(e4, e3) = all_4_0 % 25.12/4.17 | (44) op(e4, e4) = all_4_20 % 25.12/4.17 | (45) all_4_20 = e0 | all_4_21 = e0 | all_4_22 = e0 | all_4_23 = e0 | % 25.12/4.17 | all_4_24 = e0 % 25.12/4.17 | (46) all_4_20 = e1 | all_4_21 = e1 | all_4_22 = e1 | all_4_23 = e1 | % 25.12/4.17 | all_4_24 = e1 % 25.12/4.17 | (47) ~ (all_4_24 = e1) | all_4_19 = e0 % 25.12/4.17 | (48) ~ (all_4_23 = e4) | all_4_12 = e1 % 25.12/4.17 | (49) ~ (all_4_22 = e3) | all_4_9 = e2 % 25.12/4.17 | (50) ~ (all_4_21 = e0) | all_4_7 = e3 % 25.12/4.17 | (51) ~ (all_4_21 = e1) | all_4_6 = e3 % 25.51/4.17 | (52) ~ (all_4_20 = e2) | all_4_1 = e4 % 25.51/4.17 | % 25.51/4.17 | DELTA: instantiating (13) with fresh symbols all_6_0, all_6_1, all_6_2, % 25.51/4.17 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9, % 25.51/4.17 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16, % 25.51/4.17 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23, % 25.51/4.17 | all_6_24 gives: % 25.51/4.17 | (53) ~ (all_6_0 = all_6_1) & ~ (all_6_0 = all_6_2) & ~ (all_6_0 = % 25.51/4.17 | all_6_3) & ~ (all_6_0 = all_6_4) & ~ (all_6_0 = all_6_5) & ~ % 25.51/4.17 | (all_6_0 = all_6_10) & ~ (all_6_0 = all_6_15) & ~ (all_6_0 = % 25.51/4.17 | all_6_20) & ~ (all_6_1 = all_6_2) & ~ (all_6_1 = all_6_3) & ~ % 25.51/4.17 | (all_6_1 = all_6_4) & ~ (all_6_1 = all_6_6) & ~ (all_6_1 = all_6_11) % 25.51/4.17 | & ~ (all_6_1 = all_6_16) & ~ (all_6_1 = all_6_21) & ~ (all_6_2 = % 25.51/4.17 | all_6_3) & ~ (all_6_2 = all_6_4) & ~ (all_6_2 = all_6_7) & ~ % 25.51/4.17 | (all_6_2 = all_6_12) & ~ (all_6_2 = all_6_17) & ~ (all_6_2 = % 25.51/4.17 | all_6_22) & ~ (all_6_3 = all_6_4) & ~ (all_6_3 = all_6_8) & ~ % 25.51/4.17 | (all_6_3 = all_6_13) & ~ (all_6_3 = all_6_18) & ~ (all_6_3 = % 25.51/4.17 | all_6_23) & ~ (all_6_4 = all_6_9) & ~ (all_6_4 = all_6_14) & ~ % 25.51/4.17 | (all_6_4 = all_6_19) & ~ (all_6_4 = all_6_24) & ~ (all_6_5 = % 25.51/4.17 | all_6_6) & ~ (all_6_5 = all_6_7) & ~ (all_6_5 = all_6_8) & ~ % 25.51/4.17 | (all_6_5 = all_6_9) & ~ (all_6_5 = all_6_10) & ~ (all_6_5 = % 25.51/4.17 | all_6_15) & ~ (all_6_5 = all_6_20) & ~ (all_6_6 = all_6_7) & ~ % 25.51/4.17 | (all_6_6 = all_6_8) & ~ (all_6_6 = all_6_9) & ~ (all_6_6 = all_6_11) % 25.51/4.17 | & ~ (all_6_6 = all_6_16) & ~ (all_6_6 = all_6_21) & ~ (all_6_7 = % 25.51/4.17 | all_6_8) & ~ (all_6_7 = all_6_9) & ~ (all_6_7 = all_6_12) & ~ % 25.51/4.17 | (all_6_7 = all_6_17) & ~ (all_6_7 = all_6_22) & ~ (all_6_8 = % 25.51/4.17 | all_6_9) & ~ (all_6_8 = all_6_13) & ~ (all_6_8 = all_6_18) & ~ % 25.51/4.17 | (all_6_8 = all_6_23) & ~ (all_6_9 = all_6_14) & ~ (all_6_9 = % 25.51/4.17 | all_6_19) & ~ (all_6_9 = all_6_24) & ~ (all_6_10 = all_6_11) & ~ % 25.51/4.17 | (all_6_10 = all_6_12) & ~ (all_6_10 = all_6_13) & ~ (all_6_10 = % 25.51/4.17 | all_6_14) & ~ (all_6_10 = all_6_15) & ~ (all_6_10 = all_6_20) & ~ % 25.51/4.17 | (all_6_11 = all_6_12) & ~ (all_6_11 = all_6_13) & ~ (all_6_11 = % 25.51/4.17 | all_6_14) & ~ (all_6_11 = all_6_16) & ~ (all_6_11 = all_6_21) & ~ % 25.51/4.17 | (all_6_12 = all_6_13) & ~ (all_6_12 = all_6_14) & ~ (all_6_12 = % 25.51/4.17 | all_6_17) & ~ (all_6_12 = all_6_22) & ~ (all_6_13 = all_6_14) & ~ % 25.51/4.17 | (all_6_13 = all_6_18) & ~ (all_6_13 = all_6_23) & ~ (all_6_14 = % 25.51/4.17 | all_6_19) & ~ (all_6_14 = all_6_24) & ~ (all_6_15 = all_6_16) & ~ % 25.51/4.17 | (all_6_15 = all_6_17) & ~ (all_6_15 = all_6_18) & ~ (all_6_15 = % 25.51/4.17 | all_6_19) & ~ (all_6_15 = all_6_20) & ~ (all_6_16 = all_6_17) & ~ % 25.51/4.17 | (all_6_16 = all_6_18) & ~ (all_6_16 = all_6_19) & ~ (all_6_16 = % 25.51/4.17 | all_6_21) & ~ (all_6_17 = all_6_18) & ~ (all_6_17 = all_6_19) & ~ % 25.51/4.17 | (all_6_17 = all_6_22) & ~ (all_6_18 = all_6_19) & ~ (all_6_18 = % 25.51/4.17 | all_6_23) & ~ (all_6_19 = all_6_24) & ~ (all_6_20 = all_6_21) & ~ % 25.51/4.17 | (all_6_20 = all_6_22) & ~ (all_6_20 = all_6_23) & ~ (all_6_20 = % 25.51/4.17 | all_6_24) & ~ (all_6_21 = all_6_22) & ~ (all_6_21 = all_6_23) & ~ % 25.51/4.17 | (all_6_21 = all_6_24) & ~ (all_6_22 = all_6_23) & ~ (all_6_22 = % 25.51/4.17 | all_6_24) & ~ (all_6_23 = all_6_24) & op(e4, e4) = all_6_0 & op(e4, % 25.51/4.17 | e3) = all_6_5 & op(e4, e2) = all_6_10 & op(e4, e1) = all_6_15 & % 25.51/4.17 | op(e4, e0) = all_6_20 & op(e3, e4) = all_6_1 & op(e3, e3) = all_6_6 & % 25.51/4.17 | op(e3, e2) = all_6_11 & op(e3, e1) = all_6_16 & op(e3, e0) = all_6_21 % 25.51/4.17 | & op(e2, e4) = all_6_2 & op(e2, e3) = all_6_7 & op(e2, e2) = all_6_12 % 25.51/4.17 | & op(e2, e1) = all_6_17 & op(e2, e0) = all_6_22 & op(e1, e4) = all_6_3 % 25.51/4.17 | & op(e1, e3) = all_6_8 & op(e1, e2) = all_6_13 & op(e1, e1) = all_6_18 % 25.51/4.17 | & op(e1, e0) = all_6_23 & op(e0, e4) = all_6_4 & op(e0, e3) = all_6_9 % 25.51/4.17 | & op(e0, e2) = all_6_14 & op(e0, e1) = all_6_19 & op(e0, e0) = % 25.51/4.17 | all_6_24 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & % 25.51/4.17 | $i(all_6_4) & $i(all_6_5) & $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & % 25.51/4.17 | $i(all_6_9) & $i(all_6_10) & $i(all_6_11) & $i(all_6_12) & % 25.51/4.17 | $i(all_6_13) & $i(all_6_14) & $i(all_6_15) & $i(all_6_16) & % 25.51/4.17 | $i(all_6_17) & $i(all_6_18) & $i(all_6_19) & $i(all_6_20) & % 25.51/4.17 | $i(all_6_21) & $i(all_6_22) & $i(all_6_23) & $i(all_6_24) % 25.51/4.17 | % 25.51/4.17 | ALPHA: (53) implies: % 25.51/4.17 | (54) ~ (all_6_23 = all_6_24) % 25.51/4.17 | (55) ~ (all_6_22 = all_6_24) % 25.51/4.17 | (56) ~ (all_6_22 = all_6_23) % 25.51/4.17 | (57) ~ (all_6_21 = all_6_24) % 25.51/4.17 | (58) ~ (all_6_20 = all_6_23) % 25.51/4.17 | (59) ~ (all_6_19 = all_6_24) % 25.51/4.17 | (60) ~ (all_6_18 = all_6_23) % 25.51/4.17 | (61) ~ (all_6_18 = all_6_19) % 25.51/4.17 | (62) ~ (all_6_17 = all_6_22) % 25.51/4.17 | (63) ~ (all_6_16 = all_6_21) % 25.51/4.17 | (64) ~ (all_6_16 = all_6_17) % 25.51/4.17 | (65) ~ (all_6_15 = all_6_20) % 25.51/4.17 | (66) ~ (all_6_15 = all_6_19) % 25.51/4.17 | (67) ~ (all_6_15 = all_6_17) % 25.51/4.17 | (68) ~ (all_6_15 = all_6_16) % 25.51/4.17 | (69) ~ (all_6_14 = all_6_24) % 25.51/4.17 | (70) ~ (all_6_14 = all_6_19) % 25.51/4.18 | (71) ~ (all_6_13 = all_6_23) % 25.51/4.18 | (72) ~ (all_6_12 = all_6_22) % 25.51/4.18 | (73) ~ (all_6_12 = all_6_14) % 25.51/4.18 | (74) ~ (all_6_11 = all_6_21) % 25.51/4.18 | (75) ~ (all_6_10 = all_6_20) % 25.51/4.18 | (76) ~ (all_6_10 = all_6_15) % 25.51/4.18 | (77) ~ (all_6_10 = all_6_14) % 25.51/4.18 | (78) ~ (all_6_10 = all_6_13) % 25.51/4.18 | (79) ~ (all_6_10 = all_6_11) % 25.51/4.18 | (80) ~ (all_6_9 = all_6_24) % 25.51/4.18 | (81) ~ (all_6_9 = all_6_14) % 25.51/4.18 | (82) ~ (all_6_8 = all_6_23) % 25.51/4.18 | (83) ~ (all_6_8 = all_6_18) % 25.51/4.18 | (84) ~ (all_6_8 = all_6_13) % 25.51/4.18 | (85) ~ (all_6_8 = all_6_9) % 25.51/4.18 | (86) ~ (all_6_7 = all_6_17) % 25.51/4.18 | (87) ~ (all_6_7 = all_6_9) % 25.51/4.18 | (88) ~ (all_6_7 = all_6_8) % 25.51/4.18 | (89) ~ (all_6_6 = all_6_21) % 25.51/4.18 | (90) ~ (all_6_6 = all_6_16) % 25.51/4.18 | (91) ~ (all_6_6 = all_6_11) % 25.51/4.18 | (92) ~ (all_6_6 = all_6_9) % 25.51/4.18 | (93) ~ (all_6_6 = all_6_7) % 25.51/4.18 | (94) ~ (all_6_5 = all_6_20) % 25.51/4.18 | (95) ~ (all_6_5 = all_6_15) % 25.51/4.18 | (96) ~ (all_6_5 = all_6_10) % 25.51/4.18 | (97) ~ (all_6_5 = all_6_8) % 25.51/4.18 | (98) ~ (all_6_5 = all_6_7) % 25.51/4.18 | (99) ~ (all_6_5 = all_6_6) % 25.51/4.18 | (100) ~ (all_6_3 = all_6_23) % 25.51/4.18 | (101) ~ (all_6_3 = all_6_18) % 25.51/4.18 | (102) ~ (all_6_3 = all_6_13) % 25.51/4.18 | (103) ~ (all_6_3 = all_6_8) % 25.51/4.18 | (104) ~ (all_6_2 = all_6_12) % 25.51/4.18 | (105) ~ (all_6_1 = all_6_21) % 25.51/4.18 | (106) ~ (all_6_1 = all_6_6) % 25.51/4.18 | (107) ~ (all_6_0 = all_6_15) % 25.51/4.18 | (108) ~ (all_6_0 = all_6_4) % 25.51/4.18 | (109) op(e0, e0) = all_6_24 % 25.51/4.18 | (110) op(e0, e1) = all_6_19 % 25.51/4.18 | (111) op(e0, e2) = all_6_14 % 25.51/4.18 | (112) op(e0, e3) = all_6_9 % 25.51/4.18 | (113) op(e0, e4) = all_6_4 % 25.51/4.18 | (114) op(e1, e0) = all_6_23 % 25.51/4.18 | (115) op(e1, e1) = all_6_18 % 25.51/4.18 | (116) op(e1, e2) = all_6_13 % 25.51/4.18 | (117) op(e1, e3) = all_6_8 % 25.51/4.18 | (118) op(e1, e4) = all_6_3 % 25.51/4.18 | (119) op(e2, e0) = all_6_22 % 25.51/4.18 | (120) op(e2, e1) = all_6_17 % 25.51/4.18 | (121) op(e2, e2) = all_6_12 % 25.51/4.18 | (122) op(e2, e3) = all_6_7 % 25.51/4.18 | (123) op(e2, e4) = all_6_2 % 25.51/4.18 | (124) op(e3, e0) = all_6_21 % 25.51/4.18 | (125) op(e3, e1) = all_6_16 % 25.51/4.18 | (126) op(e3, e2) = all_6_11 % 25.51/4.18 | (127) op(e3, e3) = all_6_6 % 25.51/4.18 | (128) op(e3, e4) = all_6_1 % 25.51/4.18 | (129) op(e4, e0) = all_6_20 % 25.51/4.18 | (130) op(e4, e1) = all_6_15 % 25.51/4.18 | (131) op(e4, e2) = all_6_10 % 25.51/4.18 | (132) op(e4, e3) = all_6_5 % 25.51/4.18 | (133) op(e4, e4) = all_6_0 % 25.51/4.18 | % 25.51/4.18 | DELTA: instantiating (1) with fresh symbols all_8_0, all_8_1, all_8_2, % 25.51/4.18 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9, % 25.51/4.18 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16, % 25.51/4.18 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23, % 25.51/4.18 | all_8_24 gives: % 25.51/4.18 | (134) op(e4, e4) = all_8_0 & op(e4, e3) = all_8_1 & op(e4, e2) = all_8_2 & % 25.51/4.18 | op(e4, e1) = all_8_3 & op(e4, e0) = all_8_4 & op(e3, e4) = all_8_5 & % 25.51/4.18 | op(e3, e3) = all_8_6 & op(e3, e2) = all_8_7 & op(e3, e1) = all_8_8 & % 25.51/4.18 | op(e3, e0) = all_8_9 & op(e2, e4) = all_8_10 & op(e2, e3) = all_8_11 % 25.51/4.18 | & op(e2, e2) = all_8_12 & op(e2, e1) = all_8_13 & op(e2, e0) = % 25.51/4.18 | all_8_14 & op(e1, e4) = all_8_15 & op(e1, e3) = all_8_16 & op(e1, e2) % 25.51/4.18 | = all_8_17 & op(e1, e1) = all_8_18 & op(e1, e0) = all_8_19 & op(e0, % 25.51/4.18 | e4) = all_8_20 & op(e0, e3) = all_8_21 & op(e0, e2) = all_8_22 & % 25.51/4.18 | op(e0, e1) = all_8_23 & op(e0, e0) = all_8_24 & $i(all_8_0) & % 25.51/4.18 | $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & % 25.51/4.18 | $i(all_8_6) & $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) % 25.51/4.18 | & $i(all_8_11) & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) & % 25.51/4.18 | $i(all_8_15) & $i(all_8_16) & $i(all_8_17) & $i(all_8_18) & % 25.51/4.18 | $i(all_8_19) & $i(all_8_20) & $i(all_8_21) & $i(all_8_22) & % 25.51/4.18 | $i(all_8_23) & $i(all_8_24) & (all_8_0 = e4 | all_8_0 = e3 | all_8_0 % 25.51/4.18 | = e2 | all_8_0 = e1 | all_8_0 = e0) & (all_8_1 = e4 | all_8_1 = e3 % 25.51/4.18 | | all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0) & (all_8_2 = e4 | % 25.51/4.18 | all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0) & % 25.51/4.18 | (all_8_3 = e4 | all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 | all_8_3 % 25.51/4.18 | = e0) & (all_8_4 = e4 | all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 % 25.51/4.18 | | all_8_4 = e0) & (all_8_5 = e4 | all_8_5 = e3 | all_8_5 = e2 | % 25.51/4.18 | all_8_5 = e1 | all_8_5 = e0) & (all_8_6 = e4 | all_8_6 = e3 | % 25.51/4.18 | all_8_6 = e2 | all_8_6 = e1 | all_8_6 = e0) & (all_8_7 = e4 | % 25.51/4.18 | all_8_7 = e3 | all_8_7 = e2 | all_8_7 = e1 | all_8_7 = e0) & % 25.51/4.18 | (all_8_8 = e4 | all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 | all_8_8 % 25.51/4.18 | = e0) & (all_8_9 = e4 | all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1 % 25.51/4.18 | | all_8_9 = e0) & (all_8_10 = e4 | all_8_10 = e3 | all_8_10 = e2 | % 25.51/4.18 | all_8_10 = e1 | all_8_10 = e0) & (all_8_11 = e4 | all_8_11 = e3 | % 25.51/4.18 | all_8_11 = e2 | all_8_11 = e1 | all_8_11 = e0) & (all_8_12 = e4 | % 25.51/4.18 | all_8_12 = e3 | all_8_12 = e2 | all_8_12 = e1 | all_8_12 = e0) & % 25.51/4.18 | (all_8_13 = e4 | all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 | % 25.51/4.18 | all_8_13 = e0) & (all_8_14 = e4 | all_8_14 = e3 | all_8_14 = e2 | % 25.51/4.18 | all_8_14 = e1 | all_8_14 = e0) & (all_8_15 = e4 | all_8_15 = e3 | % 25.51/4.18 | all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0) & (all_8_16 = e4 | % 25.51/4.18 | all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 | all_8_16 = e0) & % 25.51/4.18 | (all_8_17 = e4 | all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 | % 25.51/4.18 | all_8_17 = e0) & (all_8_18 = e4 | all_8_18 = e3 | all_8_18 = e2 | % 25.51/4.18 | all_8_18 = e1 | all_8_18 = e0) & (all_8_19 = e4 | all_8_19 = e3 | % 25.51/4.18 | all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0) & (all_8_20 = e4 | % 25.51/4.19 | all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0) & % 25.51/4.19 | (all_8_21 = e4 | all_8_21 = e3 | all_8_21 = e2 | all_8_21 = e1 | % 25.51/4.19 | all_8_21 = e0) & (all_8_22 = e4 | all_8_22 = e3 | all_8_22 = e2 | % 25.51/4.19 | all_8_22 = e1 | all_8_22 = e0) & (all_8_23 = e4 | all_8_23 = e3 | % 25.51/4.19 | all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0) & (all_8_24 = e4 | % 25.51/4.19 | all_8_24 = e3 | all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0) % 25.51/4.19 | % 25.51/4.19 | ALPHA: (134) implies: % 25.51/4.19 | (135) op(e0, e0) = all_8_24 % 25.51/4.19 | (136) op(e0, e1) = all_8_23 % 25.51/4.19 | (137) op(e0, e2) = all_8_22 % 25.51/4.19 | (138) op(e0, e3) = all_8_21 % 25.51/4.19 | (139) op(e0, e4) = all_8_20 % 25.51/4.19 | (140) op(e1, e0) = all_8_19 % 25.51/4.19 | (141) op(e1, e1) = all_8_18 % 25.51/4.19 | (142) op(e1, e2) = all_8_17 % 25.51/4.19 | (143) op(e1, e3) = all_8_16 % 25.51/4.19 | (144) op(e1, e4) = all_8_15 % 25.51/4.19 | (145) op(e2, e0) = all_8_14 % 25.51/4.19 | (146) op(e2, e1) = all_8_13 % 25.51/4.19 | (147) op(e2, e2) = all_8_12 % 25.51/4.19 | (148) op(e2, e3) = all_8_11 % 25.51/4.19 | (149) op(e2, e4) = all_8_10 % 25.51/4.19 | (150) op(e3, e0) = all_8_9 % 25.51/4.19 | (151) op(e3, e1) = all_8_8 % 25.51/4.19 | (152) op(e3, e2) = all_8_7 % 25.51/4.19 | (153) op(e3, e3) = all_8_6 % 25.51/4.19 | (154) op(e3, e4) = all_8_5 % 25.51/4.19 | (155) op(e4, e0) = all_8_4 % 25.51/4.19 | (156) op(e4, e1) = all_8_3 % 25.51/4.19 | (157) op(e4, e2) = all_8_2 % 25.51/4.19 | (158) op(e4, e3) = all_8_1 % 25.51/4.19 | (159) op(e4, e4) = all_8_0 % 25.51/4.19 | (160) all_8_22 = e4 | all_8_22 = e3 | all_8_22 = e2 | all_8_22 = e1 | % 25.51/4.19 | all_8_22 = e0 % 25.51/4.19 | (161) all_8_21 = e4 | all_8_21 = e3 | all_8_21 = e2 | all_8_21 = e1 | % 25.51/4.19 | all_8_21 = e0 % 25.51/4.19 | (162) all_8_19 = e4 | all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 | % 25.51/4.19 | all_8_19 = e0 % 25.51/4.19 | (163) all_8_16 = e4 | all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 | % 25.51/4.19 | all_8_16 = e0 % 25.51/4.19 | (164) all_8_4 = e4 | all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 | all_8_4 = % 25.51/4.19 | e0 % 25.51/4.19 | (165) all_8_3 = e4 | all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 | all_8_3 = % 25.51/4.19 | e0 % 25.51/4.19 | (166) all_8_1 = e4 | all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 | all_8_1 = % 25.51/4.19 | e0 % 25.51/4.19 | % 25.51/4.19 | DELTA: instantiating (12) with fresh symbols all_10_0, all_10_1, all_10_2, % 25.51/4.19 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9, % 25.51/4.19 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15, % 25.51/4.19 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21, % 25.51/4.19 | all_10_22, all_10_23, all_10_24 gives: % 25.61/4.20 | (167) op(e4, e4) = all_10_0 & op(e4, e3) = all_10_1 & op(e4, e2) = all_10_4 % 25.61/4.20 | & op(e4, e1) = all_10_9 & op(e4, e0) = all_10_16 & op(e3, e4) = % 25.61/4.20 | all_10_2 & op(e3, e3) = all_10_3 & op(e3, e2) = all_10_5 & op(e3, e1) % 25.61/4.20 | = all_10_10 & op(e3, e0) = all_10_17 & op(e2, e4) = all_10_6 & op(e2, % 25.61/4.20 | e3) = all_10_7 & op(e2, e2) = all_10_8 & op(e2, e1) = all_10_11 & % 25.61/4.20 | op(e2, e0) = all_10_18 & op(e1, e4) = all_10_12 & op(e1, e3) = % 25.61/4.20 | all_10_13 & op(e1, e2) = all_10_14 & op(e1, e1) = all_10_15 & op(e1, % 25.61/4.20 | e0) = all_10_19 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 & % 25.61/4.20 | op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) = % 25.61/4.20 | all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3) % 25.61/4.20 | & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) & % 25.61/4.20 | $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) & % 25.61/4.20 | $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) & % 25.61/4.20 | $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) & % 25.61/4.20 | $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) & % 25.61/4.20 | $i(all_10_24) & (all_10_0 = e4 | all_10_1 = e4 | all_10_4 = e4 | % 25.61/4.20 | all_10_9 = e4 | all_10_16 = e4) & (all_10_0 = e4 | all_10_2 = e4 | % 25.61/4.20 | all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4) & (all_10_0 = e3 | % 25.61/4.20 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3) & % 25.61/4.20 | (all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | % 25.61/4.20 | all_10_20 = e3) & (all_10_0 = e2 | all_10_1 = e2 | all_10_4 = e2 | % 25.61/4.20 | all_10_9 = e2 | all_10_16 = e2) & (all_10_0 = e2 | all_10_2 = e2 | % 25.61/4.20 | all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2) & (all_10_0 = e1 | % 25.61/4.20 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1) & % 25.61/4.20 | (all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 25.61/4.20 | all_10_20 = e1) & (all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | % 25.61/4.20 | all_10_9 = e0 | all_10_16 = e0) & (all_10_0 = e0 | all_10_2 = e0 | % 25.61/4.20 | all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0) & (all_10_1 = e4 | % 25.61/4.20 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4) & % 25.61/4.20 | (all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 | % 25.61/4.20 | all_10_21 = e3) & (all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 | % 25.61/4.20 | all_10_13 = e2 | all_10_21 = e2) & (all_10_1 = e1 | all_10_3 = e1 | % 25.61/4.20 | all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1) & (all_10_1 = e0 | % 25.61/4.20 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0) & % 25.61/4.20 | (all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | % 25.61/4.20 | all_10_17 = e4) & (all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 | % 25.61/4.20 | all_10_10 = e3 | all_10_17 = e3) & (all_10_2 = e2 | all_10_3 = e2 | % 25.61/4.20 | all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2) & (all_10_2 = e1 | % 25.61/4.20 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1) & % 25.61/4.20 | (all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 | % 25.61/4.20 | all_10_17 = e0) & (all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | % 25.61/4.20 | all_10_14 = e4 | all_10_22 = e4) & (all_10_4 = e3 | all_10_5 = e3 | % 25.61/4.20 | all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3) & (all_10_4 = e2 | % 25.61/4.20 | all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2) & % 25.61/4.20 | (all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 | % 25.61/4.20 | all_10_22 = e1) & (all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 | % 25.61/4.20 | all_10_14 = e0 | all_10_22 = e0) & (all_10_6 = e4 | all_10_7 = e4 | % 25.61/4.20 | all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4) & (all_10_6 = e3 | % 25.61/4.20 | all_10_7 = e3 | all_10_8 = e3 | all_10_11 = e3 | all_10_18 = e3) & % 25.61/4.20 | (all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 | % 25.61/4.20 | all_10_18 = e2) & (all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 | % 25.61/4.20 | all_10_11 = e1 | all_10_18 = e1) & (all_10_6 = e0 | all_10_7 = e0 | % 25.61/4.20 | all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0) & (all_10_9 = e4 | % 25.61/4.20 | all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4) % 25.61/4.20 | & (all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 25.61/4.20 | all_10_23 = e3) & (all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 % 25.61/4.20 | | all_10_15 = e2 | all_10_23 = e2) & (all_10_9 = e1 | all_10_10 = % 25.61/4.20 | e1 | all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1) & (all_10_9 % 25.61/4.20 | = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23 % 25.61/4.20 | = e0) & (all_10_12 = e4 | all_10_13 = e4 | all_10_14 = e4 | % 25.61/4.20 | all_10_15 = e4 | all_10_19 = e4) & (all_10_12 = e3 | all_10_13 = e3 % 25.61/4.20 | | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3) & (all_10_12 = % 25.61/4.20 | e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | all_10_19 = % 25.61/4.20 | e2) & (all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15 % 25.61/4.20 | = e1 | all_10_19 = e1) & (all_10_12 = e0 | all_10_13 = e0 | % 25.61/4.20 | all_10_14 = e0 | all_10_15 = e0 | all_10_19 = e0) & (all_10_16 = e4 % 25.61/4.20 | | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | all_10_24 = % 25.61/4.20 | e4) & (all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 % 25.61/4.20 | = e3 | all_10_24 = e3) & (all_10_16 = e2 | all_10_17 = e2 | % 25.61/4.20 | all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2) & (all_10_16 = e1 % 25.61/4.20 | | all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 | all_10_24 = % 25.61/4.20 | e1) & (all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 % 25.61/4.20 | = e4 | all_10_24 = e4) & (all_10_20 = e3 | all_10_21 = e3 | % 25.61/4.20 | all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3) & (all_10_20 = e2 % 25.61/4.20 | | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | all_10_24 = % 25.61/4.20 | e2) & (all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 % 25.61/4.20 | = e1 | all_10_24 = e1) & (all_10_24 = e0 | ((all_10_16 = e0 | % 25.61/4.20 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0) & (all_10_20 % 25.61/4.20 | = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0))) % 25.61/4.20 | % 25.61/4.20 | ALPHA: (167) implies: % 25.61/4.20 | (168) op(e0, e0) = all_10_24 % 25.61/4.20 | (169) op(e0, e1) = all_10_23 % 25.61/4.20 | (170) op(e0, e2) = all_10_22 % 25.61/4.20 | (171) op(e0, e3) = all_10_21 % 25.61/4.20 | (172) op(e0, e4) = all_10_20 % 25.61/4.20 | (173) op(e1, e0) = all_10_19 % 25.61/4.20 | (174) op(e1, e1) = all_10_15 % 25.61/4.20 | (175) op(e1, e2) = all_10_14 % 25.61/4.20 | (176) op(e1, e3) = all_10_13 % 25.61/4.20 | (177) op(e1, e4) = all_10_12 % 25.61/4.20 | (178) op(e2, e0) = all_10_18 % 25.61/4.20 | (179) op(e2, e1) = all_10_11 % 25.61/4.20 | (180) op(e2, e2) = all_10_8 % 25.61/4.20 | (181) op(e2, e3) = all_10_7 % 25.61/4.20 | (182) op(e2, e4) = all_10_6 % 25.61/4.20 | (183) op(e3, e0) = all_10_17 % 25.61/4.20 | (184) op(e3, e1) = all_10_10 % 25.61/4.20 | (185) op(e3, e2) = all_10_5 % 25.61/4.20 | (186) op(e3, e3) = all_10_3 % 25.61/4.20 | (187) op(e3, e4) = all_10_2 % 25.61/4.20 | (188) op(e4, e0) = all_10_16 % 25.61/4.20 | (189) op(e4, e1) = all_10_9 % 25.61/4.20 | (190) op(e4, e2) = all_10_4 % 25.61/4.20 | (191) op(e4, e3) = all_10_1 % 25.61/4.20 | (192) op(e4, e4) = all_10_0 % 25.61/4.20 | (193) all_10_20 = e2 | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | % 25.61/4.20 | all_10_24 = e2 % 25.61/4.20 | (194) all_10_16 = e1 | all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 | % 25.61/4.20 | all_10_24 = e1 % 25.61/4.20 | (195) all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | % 25.61/4.20 | all_10_24 = e3 % 25.61/4.20 | (196) all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | % 25.61/4.20 | all_10_24 = e4 % 25.61/4.20 | (197) all_10_9 = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | % 25.61/4.20 | all_10_23 = e0 % 25.61/4.20 | (198) all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 25.61/4.20 | all_10_23 = e2 % 25.61/4.20 | (199) all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 25.61/4.20 | all_10_23 = e3 % 25.61/4.20 | (200) all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 | % 25.61/4.20 | all_10_18 = e0 % 25.61/4.20 | (201) all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 | % 25.61/4.20 | all_10_22 = e1 % 25.61/4.20 | (202) all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | % 25.61/4.20 | all_10_17 = e4 % 25.61/4.20 | (203) all_10_1 = e0 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | % 25.61/4.20 | all_10_21 = e0 % 25.61/4.20 | (204) all_10_1 = e1 | all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 | % 25.61/4.20 | all_10_21 = e1 % 25.61/4.20 | (205) all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | % 25.61/4.20 | all_10_20 = e0 % 25.61/4.20 | (206) all_10_0 = e1 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | % 25.61/4.20 | all_10_16 = e1 % 25.61/4.20 | (207) all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | % 25.61/4.20 | all_10_20 = e3 % 25.61/4.20 | % 25.61/4.20 | GROUND_INST: instantiating (function-axioms) with all_6_24, all_8_24, e0, e0, % 25.61/4.20 | simplifying with (109), (135) gives: % 25.61/4.20 | (208) all_8_24 = all_6_24 % 25.61/4.20 | % 25.61/4.20 | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_24, e0, e0, % 25.61/4.20 | simplifying with (135), (168) gives: % 25.61/4.20 | (209) all_10_24 = all_8_24 % 25.61/4.20 | % 25.61/4.20 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_10_24, e0, e0, % 25.61/4.20 | simplifying with (20), (168) gives: % 25.61/4.20 | (210) all_10_24 = all_4_24 % 25.61/4.20 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_23, all_10_23, e1, e0, % 25.61/4.21 | simplifying with (136), (169) gives: % 25.61/4.21 | (211) all_10_23 = all_8_23 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_19, all_10_23, e1, e0, % 25.61/4.21 | simplifying with (110), (169) gives: % 25.61/4.21 | (212) all_10_23 = all_6_19 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_23, e1, e0, % 25.61/4.21 | simplifying with (21), (169) gives: % 25.61/4.21 | (213) all_10_23 = all_4_19 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_22, e2, e0, % 25.61/4.21 | simplifying with (137), (170) gives: % 25.61/4.21 | (214) all_10_22 = all_8_22 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_22, e2, e0, % 25.61/4.21 | simplifying with (111), (170) gives: % 25.61/4.21 | (215) all_10_22 = all_6_14 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_10_22, e2, e0, % 25.61/4.21 | simplifying with (22), (170) gives: % 25.61/4.21 | (216) all_10_22 = all_4_18 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_8_21, e3, e0, % 25.61/4.21 | simplifying with (112), (138) gives: % 25.61/4.21 | (217) all_8_21 = all_6_9 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_21, all_10_21, e3, e0, % 25.61/4.21 | simplifying with (138), (171) gives: % 25.61/4.21 | (218) all_10_21 = all_8_21 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_21, e3, e0, % 25.61/4.21 | simplifying with (23), (171) gives: % 25.61/4.21 | (219) all_10_21 = all_4_17 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_20, all_10_20, e4, e0, % 25.61/4.21 | simplifying with (139), (172) gives: % 25.61/4.21 | (220) all_10_20 = all_8_20 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_10_20, e4, e0, % 25.61/4.21 | simplifying with (113), (172) gives: % 25.61/4.21 | (221) all_10_20 = all_6_4 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_20, e4, e0, % 25.61/4.21 | simplifying with (24), (172) gives: % 25.61/4.21 | (222) all_10_20 = all_4_16 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_8_19, e0, e1, % 25.61/4.21 | simplifying with (114), (140) gives: % 25.61/4.21 | (223) all_8_19 = all_6_23 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_19, e0, e1, % 25.61/4.21 | simplifying with (140), (173) gives: % 25.61/4.21 | (224) all_10_19 = all_8_19 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_19, e0, e1, % 25.61/4.21 | simplifying with (25), (173) gives: % 25.61/4.21 | (225) all_10_19 = all_4_15 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_8_18, e1, e1, % 25.61/4.21 | simplifying with (26), (141) gives: % 25.61/4.21 | (226) all_8_18 = all_4_23 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with e4, all_8_18, e1, e1, % 25.61/4.21 | simplifying with (14), (141) gives: % 25.61/4.21 | (227) all_8_18 = e4 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_18, all_10_15, e1, e1, % 25.61/4.21 | simplifying with (141), (174) gives: % 25.61/4.21 | (228) all_10_15 = all_8_18 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_15, e1, e1, % 25.61/4.21 | simplifying with (115), (174) gives: % 25.61/4.21 | (229) all_10_15 = all_6_18 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_17, e2, e1, % 25.61/4.21 | simplifying with (116), (142) gives: % 25.61/4.21 | (230) all_8_17 = all_6_13 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_8_17, e2, e1, % 25.61/4.21 | simplifying with (27), (142) gives: % 25.61/4.21 | (231) all_8_17 = all_4_14 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_10_14, e2, e1, % 25.61/4.21 | simplifying with (116), (175) gives: % 25.61/4.21 | (232) all_10_14 = all_6_13 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with e0, all_10_14, e2, e1, % 25.61/4.21 | simplifying with (15), (175) gives: % 25.61/4.21 | (233) all_10_14 = e0 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_8, all_8_16, e3, e1, % 25.61/4.21 | simplifying with (117), (143) gives: % 25.61/4.21 | (234) all_8_16 = all_6_8 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_16, all_10_13, e3, e1, % 25.61/4.21 | simplifying with (143), (176) gives: % 25.61/4.21 | (235) all_10_13 = all_8_16 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_13, e3, e1, % 25.61/4.21 | simplifying with (28), (176) gives: % 25.61/4.21 | (236) all_10_13 = all_4_13 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_15, e4, e1, % 25.61/4.21 | simplifying with (118), (144) gives: % 25.61/4.21 | (237) all_8_15 = all_6_3 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_12, e4, e1, % 25.61/4.21 | simplifying with (144), (177) gives: % 25.61/4.21 | (238) all_10_12 = all_8_15 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_10_12, e4, e1, % 25.61/4.21 | simplifying with (29), (177) gives: % 25.61/4.21 | (239) all_10_12 = all_4_12 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_8_14, e0, e2, % 25.61/4.21 | simplifying with (30), (145) gives: % 25.61/4.21 | (240) all_8_14 = all_4_11 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_14, all_10_18, e0, e2, % 25.61/4.21 | simplifying with (145), (178) gives: % 25.61/4.21 | (241) all_10_18 = all_8_14 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_18, e0, e2, % 25.61/4.21 | simplifying with (119), (178) gives: % 25.61/4.21 | (242) all_10_18 = all_6_22 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_13, e1, e2, % 25.61/4.21 | simplifying with (120), (146) gives: % 25.61/4.21 | (243) all_8_13 = all_6_17 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_11, e1, e2, % 25.61/4.21 | simplifying with (146), (179) gives: % 25.61/4.21 | (244) all_10_11 = all_8_13 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_11, e1, e2, % 25.61/4.21 | simplifying with (31), (179) gives: % 25.61/4.21 | (245) all_10_11 = all_4_10 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_6_12, e2, e2, % 25.61/4.21 | simplifying with (32), (121) gives: % 25.61/4.21 | (246) all_6_12 = all_4_22 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_12, e2, e2, % 25.61/4.21 | simplifying with (121), (147) gives: % 25.61/4.21 | (247) all_8_12 = all_6_12 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_8, e2, e2, % 25.61/4.21 | simplifying with (147), (180) gives: % 25.61/4.21 | (248) all_10_8 = all_8_12 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with e3, all_10_8, e2, e2, % 25.61/4.21 | simplifying with (16), (180) gives: % 25.61/4.21 | (249) all_10_8 = e3 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_8_11, e3, e2, % 25.61/4.21 | simplifying with (33), (148) gives: % 25.61/4.21 | (250) all_8_11 = all_4_9 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_7, e3, e2, % 25.61/4.21 | simplifying with (148), (181) gives: % 25.61/4.21 | (251) all_10_7 = all_8_11 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_10_7, e3, e2, % 25.61/4.21 | simplifying with (122), (181) gives: % 25.61/4.21 | (252) all_10_7 = all_6_7 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_8_10, all_10_6, e4, e2, % 25.61/4.21 | simplifying with (149), (182) gives: % 25.61/4.21 | (253) all_10_6 = all_8_10 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_10_6, e4, e2, % 25.61/4.21 | simplifying with (123), (182) gives: % 25.61/4.21 | (254) all_10_6 = all_6_2 % 25.61/4.21 | % 25.61/4.21 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_6, e4, e2, % 25.61/4.21 | simplifying with (34), (182) gives: % 25.61/4.22 | (255) all_10_6 = all_4_8 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_9, e0, e3, % 25.61/4.22 | simplifying with (124), (150) gives: % 25.61/4.22 | (256) all_8_9 = all_6_21 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_17, e0, e3, % 25.61/4.22 | simplifying with (150), (183) gives: % 25.61/4.22 | (257) all_10_17 = all_8_9 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_17, e0, e3, % 25.61/4.22 | simplifying with (35), (183) gives: % 25.61/4.22 | (258) all_10_17 = all_4_7 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_8, all_10_10, e1, e3, % 25.61/4.22 | simplifying with (151), (184) gives: % 25.61/4.22 | (259) all_10_10 = all_8_8 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_10_10, e1, e3, % 25.61/4.22 | simplifying with (125), (184) gives: % 25.61/4.22 | (260) all_10_10 = all_6_16 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_10, e1, e3, % 25.61/4.22 | simplifying with (36), (184) gives: % 25.61/4.22 | (261) all_10_10 = all_4_6 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_8_7, e2, e3, % 25.61/4.22 | simplifying with (37), (152) gives: % 25.61/4.22 | (262) all_8_7 = all_4_5 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_7, all_10_5, e2, e3, % 25.61/4.22 | simplifying with (152), (185) gives: % 25.61/4.22 | (263) all_10_5 = all_8_7 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_10_5, e2, e3, % 25.61/4.22 | simplifying with (126), (185) gives: % 25.61/4.22 | (264) all_10_5 = all_6_11 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_8_6, e3, e3, % 25.61/4.22 | simplifying with (127), (153) gives: % 25.61/4.22 | (265) all_8_6 = all_6_6 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_3, e3, e3, % 25.61/4.22 | simplifying with (153), (186) gives: % 25.61/4.22 | (266) all_10_3 = all_8_6 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_3, e3, e3, % 25.61/4.22 | simplifying with (38), (186) gives: % 25.61/4.22 | (267) all_10_3 = all_4_21 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_5, e4, e3, % 25.61/4.22 | simplifying with (128), (154) gives: % 25.61/4.22 | (268) all_8_5 = all_6_1 % 25.61/4.22 | % 25.61/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_5, all_10_2, e4, e3, % 25.61/4.22 | simplifying with (154), (187) gives: % 25.74/4.22 | (269) all_10_2 = all_8_5 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_2, e4, e3, % 25.74/4.22 | simplifying with (39), (187) gives: % 25.74/4.22 | (270) all_10_2 = all_4_4 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_8_4, e0, e4, % 25.74/4.22 | simplifying with (129), (155) gives: % 25.74/4.22 | (271) all_8_4 = all_6_20 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_4, all_10_16, e0, e4, % 25.74/4.22 | simplifying with (155), (188) gives: % 25.74/4.22 | (272) all_10_16 = all_8_4 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_16, e0, e4, % 25.74/4.22 | simplifying with (40), (188) gives: % 25.74/4.22 | (273) all_10_16 = all_4_3 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_3, e1, e4, % 25.74/4.22 | simplifying with (130), (156) gives: % 25.74/4.22 | (274) all_8_3 = all_6_15 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_9, e1, e4, % 25.74/4.22 | simplifying with (156), (189) gives: % 25.74/4.22 | (275) all_10_9 = all_8_3 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_9, e1, e4, % 25.74/4.22 | simplifying with (41), (189) gives: % 25.74/4.22 | (276) all_10_9 = all_4_2 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_4, e2, e4, % 25.74/4.22 | simplifying with (157), (190) gives: % 25.74/4.22 | (277) all_10_4 = all_8_2 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_4, e2, e4, % 25.74/4.22 | simplifying with (131), (190) gives: % 25.74/4.22 | (278) all_10_4 = all_6_10 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_4, e2, e4, % 25.74/4.22 | simplifying with (42), (190) gives: % 25.74/4.22 | (279) all_10_4 = all_4_1 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_1, e3, e4, % 25.74/4.22 | simplifying with (132), (158) gives: % 25.74/4.22 | (280) all_8_1 = all_6_5 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_1, all_10_1, e3, e4, % 25.74/4.22 | simplifying with (158), (191) gives: % 25.74/4.22 | (281) all_10_1 = all_8_1 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_1, e3, e4, % 25.74/4.22 | simplifying with (43), (191) gives: % 25.74/4.22 | (282) all_10_1 = all_4_0 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_6_0, e4, e4, % 25.74/4.22 | simplifying with (44), (133) gives: % 25.74/4.22 | (283) all_6_0 = all_4_20 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_0, e4, e4, % 25.74/4.22 | simplifying with (133), (159) gives: % 25.74/4.22 | (284) all_8_0 = all_6_0 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with all_8_0, all_10_0, e4, e4, % 25.74/4.22 | simplifying with (159), (192) gives: % 25.74/4.22 | (285) all_10_0 = all_8_0 % 25.74/4.22 | % 25.74/4.22 | GROUND_INST: instantiating (function-axioms) with e2, all_10_0, e4, e4, % 25.74/4.22 | simplifying with (17), (192) gives: % 25.74/4.22 | (286) all_10_0 = e2 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (285), (286) imply: % 25.74/4.22 | (287) all_8_0 = e2 % 25.74/4.22 | % 25.74/4.22 | SIMP: (287) implies: % 25.74/4.22 | (288) all_8_0 = e2 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (281), (282) imply: % 25.74/4.22 | (289) all_8_1 = all_4_0 % 25.74/4.22 | % 25.74/4.22 | SIMP: (289) implies: % 25.74/4.22 | (290) all_8_1 = all_4_0 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (269), (270) imply: % 25.74/4.22 | (291) all_8_5 = all_4_4 % 25.74/4.22 | % 25.74/4.22 | SIMP: (291) implies: % 25.74/4.22 | (292) all_8_5 = all_4_4 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (266), (267) imply: % 25.74/4.22 | (293) all_8_6 = all_4_21 % 25.74/4.22 | % 25.74/4.22 | SIMP: (293) implies: % 25.74/4.22 | (294) all_8_6 = all_4_21 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (277), (279) imply: % 25.74/4.22 | (295) all_8_2 = all_4_1 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (277), (278) imply: % 25.74/4.22 | (296) all_8_2 = all_6_10 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (263), (264) imply: % 25.74/4.22 | (297) all_8_7 = all_6_11 % 25.74/4.22 | % 25.74/4.22 | SIMP: (297) implies: % 25.74/4.22 | (298) all_8_7 = all_6_11 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (253), (255) imply: % 25.74/4.22 | (299) all_8_10 = all_4_8 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (253), (254) imply: % 25.74/4.22 | (300) all_8_10 = all_6_2 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (251), (252) imply: % 25.74/4.22 | (301) all_8_11 = all_6_7 % 25.74/4.22 | % 25.74/4.22 | SIMP: (301) implies: % 25.74/4.22 | (302) all_8_11 = all_6_7 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (248), (249) imply: % 25.74/4.22 | (303) all_8_12 = e3 % 25.74/4.22 | % 25.74/4.22 | SIMP: (303) implies: % 25.74/4.22 | (304) all_8_12 = e3 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (275), (276) imply: % 25.74/4.22 | (305) all_8_3 = all_4_2 % 25.74/4.22 | % 25.74/4.22 | SIMP: (305) implies: % 25.74/4.22 | (306) all_8_3 = all_4_2 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (259), (261) imply: % 25.74/4.22 | (307) all_8_8 = all_4_6 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (259), (260) imply: % 25.74/4.22 | (308) all_8_8 = all_6_16 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (244), (245) imply: % 25.74/4.22 | (309) all_8_13 = all_4_10 % 25.74/4.22 | % 25.74/4.22 | SIMP: (309) implies: % 25.74/4.22 | (310) all_8_13 = all_4_10 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (238), (239) imply: % 25.74/4.22 | (311) all_8_15 = all_4_12 % 25.74/4.22 | % 25.74/4.22 | SIMP: (311) implies: % 25.74/4.22 | (312) all_8_15 = all_4_12 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (235), (236) imply: % 25.74/4.22 | (313) all_8_16 = all_4_13 % 25.74/4.22 | % 25.74/4.22 | SIMP: (313) implies: % 25.74/4.22 | (314) all_8_16 = all_4_13 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (232), (233) imply: % 25.74/4.22 | (315) all_6_13 = e0 % 25.74/4.22 | % 25.74/4.22 | SIMP: (315) implies: % 25.74/4.22 | (316) all_6_13 = e0 % 25.74/4.22 | % 25.74/4.22 | COMBINE_EQS: (228), (229) imply: % 25.74/4.23 | (317) all_8_18 = all_6_18 % 25.74/4.23 | % 25.74/4.23 | SIMP: (317) implies: % 25.74/4.23 | (318) all_8_18 = all_6_18 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (272), (273) imply: % 25.74/4.23 | (319) all_8_4 = all_4_3 % 25.74/4.23 | % 25.74/4.23 | SIMP: (319) implies: % 25.74/4.23 | (320) all_8_4 = all_4_3 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (257), (258) imply: % 25.74/4.23 | (321) all_8_9 = all_4_7 % 25.74/4.23 | % 25.74/4.23 | SIMP: (321) implies: % 25.74/4.23 | (322) all_8_9 = all_4_7 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (241), (242) imply: % 25.74/4.23 | (323) all_8_14 = all_6_22 % 25.74/4.23 | % 25.74/4.23 | SIMP: (323) implies: % 25.74/4.23 | (324) all_8_14 = all_6_22 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (224), (225) imply: % 25.74/4.23 | (325) all_8_19 = all_4_15 % 25.74/4.23 | % 25.74/4.23 | SIMP: (325) implies: % 25.74/4.23 | (326) all_8_19 = all_4_15 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (220), (222) imply: % 25.74/4.23 | (327) all_8_20 = all_4_16 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (220), (221) imply: % 25.74/4.23 | (328) all_8_20 = all_6_4 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (218), (219) imply: % 25.74/4.23 | (329) all_8_21 = all_4_17 % 25.74/4.23 | % 25.74/4.23 | SIMP: (329) implies: % 25.74/4.23 | (330) all_8_21 = all_4_17 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (214), (216) imply: % 25.74/4.23 | (331) all_8_22 = all_4_18 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (214), (215) imply: % 25.74/4.23 | (332) all_8_22 = all_6_14 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (211), (213) imply: % 25.74/4.23 | (333) all_8_23 = all_4_19 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (211), (212) imply: % 25.74/4.23 | (334) all_8_23 = all_6_19 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (209), (210) imply: % 25.74/4.23 | (335) all_8_24 = all_4_24 % 25.74/4.23 | % 25.74/4.23 | SIMP: (335) implies: % 25.74/4.23 | (336) all_8_24 = all_4_24 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (284), (288) imply: % 25.74/4.23 | (337) all_6_0 = e2 % 25.74/4.23 | % 25.74/4.23 | SIMP: (337) implies: % 25.74/4.23 | (338) all_6_0 = e2 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (280), (290) imply: % 25.74/4.23 | (339) all_6_5 = all_4_0 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (295), (296) imply: % 25.74/4.23 | (340) all_6_10 = all_4_1 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (274), (306) imply: % 25.74/4.23 | (341) all_6_15 = all_4_2 % 25.74/4.23 | % 25.74/4.23 | SIMP: (341) implies: % 25.74/4.23 | (342) all_6_15 = all_4_2 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (271), (320) imply: % 25.74/4.23 | (343) all_6_20 = all_4_3 % 25.74/4.23 | % 25.74/4.23 | SIMP: (343) implies: % 25.74/4.23 | (344) all_6_20 = all_4_3 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (268), (292) imply: % 25.74/4.23 | (345) all_6_1 = all_4_4 % 25.74/4.23 | % 25.74/4.23 | SIMP: (345) implies: % 25.74/4.23 | (346) all_6_1 = all_4_4 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (265), (294) imply: % 25.74/4.23 | (347) all_6_6 = all_4_21 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (262), (298) imply: % 25.74/4.23 | (348) all_6_11 = all_4_5 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (307), (308) imply: % 25.74/4.23 | (349) all_6_16 = all_4_6 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (256), (322) imply: % 25.74/4.23 | (350) all_6_21 = all_4_7 % 25.74/4.23 | % 25.74/4.23 | SIMP: (350) implies: % 25.74/4.23 | (351) all_6_21 = all_4_7 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (299), (300) imply: % 25.74/4.23 | (352) all_6_2 = all_4_8 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (250), (302) imply: % 25.74/4.23 | (353) all_6_7 = all_4_9 % 25.74/4.23 | % 25.74/4.23 | SIMP: (353) implies: % 25.74/4.23 | (354) all_6_7 = all_4_9 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (247), (304) imply: % 25.74/4.23 | (355) all_6_12 = e3 % 25.74/4.23 | % 25.74/4.23 | SIMP: (355) implies: % 25.74/4.23 | (356) all_6_12 = e3 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (243), (310) imply: % 25.74/4.23 | (357) all_6_17 = all_4_10 % 25.74/4.23 | % 25.74/4.23 | SIMP: (357) implies: % 25.74/4.23 | (358) all_6_17 = all_4_10 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (240), (324) imply: % 25.74/4.23 | (359) all_6_22 = all_4_11 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (237), (312) imply: % 25.74/4.23 | (360) all_6_3 = all_4_12 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (234), (314) imply: % 25.74/4.23 | (361) all_6_8 = all_4_13 % 25.74/4.23 | % 25.74/4.23 | SIMP: (361) implies: % 25.74/4.23 | (362) all_6_8 = all_4_13 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (230), (231) imply: % 25.74/4.23 | (363) all_6_13 = all_4_14 % 25.74/4.23 | % 25.74/4.23 | SIMP: (363) implies: % 25.74/4.23 | (364) all_6_13 = all_4_14 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (227), (318) imply: % 25.74/4.23 | (365) all_6_18 = e4 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (226), (318) imply: % 25.74/4.23 | (366) all_6_18 = all_4_23 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (223), (326) imply: % 25.74/4.23 | (367) all_6_23 = all_4_15 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (327), (328) imply: % 25.74/4.23 | (368) all_6_4 = all_4_16 % 25.74/4.23 | % 25.74/4.23 | SIMP: (368) implies: % 25.74/4.23 | (369) all_6_4 = all_4_16 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (217), (330) imply: % 25.74/4.23 | (370) all_6_9 = all_4_17 % 25.74/4.23 | % 25.74/4.23 | SIMP: (370) implies: % 25.74/4.23 | (371) all_6_9 = all_4_17 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (331), (332) imply: % 25.74/4.23 | (372) all_6_14 = all_4_18 % 25.74/4.23 | % 25.74/4.23 | SIMP: (372) implies: % 25.74/4.23 | (373) all_6_14 = all_4_18 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (333), (334) imply: % 25.74/4.23 | (374) all_6_19 = all_4_19 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (208), (336) imply: % 25.74/4.23 | (375) all_6_24 = all_4_24 % 25.74/4.23 | % 25.74/4.23 | SIMP: (375) implies: % 25.74/4.23 | (376) all_6_24 = all_4_24 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (283), (338) imply: % 25.74/4.23 | (377) all_4_20 = e2 % 25.74/4.23 | % 25.74/4.23 | SIMP: (377) implies: % 25.74/4.23 | (378) all_4_20 = e2 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (246), (356) imply: % 25.74/4.23 | (379) all_4_22 = e3 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (316), (364) imply: % 25.74/4.23 | (380) all_4_14 = e0 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (365), (366) imply: % 25.74/4.23 | (381) all_4_23 = e4 % 25.74/4.23 | % 25.74/4.23 | SIMP: (381) implies: % 25.74/4.23 | (382) all_4_23 = e4 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (242), (359) imply: % 25.74/4.23 | (383) all_10_18 = all_4_11 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (229), (365) imply: % 25.74/4.23 | (384) all_10_15 = e4 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (252), (354) imply: % 25.74/4.23 | (385) all_10_7 = all_4_9 % 25.74/4.23 | % 25.74/4.23 | COMBINE_EQS: (264), (348) imply: % 25.74/4.23 | (386) all_10_5 = all_4_5 % 25.74/4.23 | % 25.74/4.23 | REDUCE: (108), (338), (369) imply: % 25.74/4.23 | (387) ~ (all_4_16 = e2) % 25.74/4.23 | % 25.74/4.23 | SIMP: (387) implies: % 25.74/4.23 | (388) ~ (all_4_16 = e2) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (107), (338), (342) imply: % 25.74/4.23 | (389) ~ (all_4_2 = e2) % 25.74/4.23 | % 25.74/4.23 | SIMP: (389) implies: % 25.74/4.23 | (390) ~ (all_4_2 = e2) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (106), (346), (347) imply: % 25.74/4.23 | (391) ~ (all_4_4 = all_4_21) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (105), (346), (351) imply: % 25.74/4.23 | (392) ~ (all_4_4 = all_4_7) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (104), (352), (356) imply: % 25.74/4.23 | (393) ~ (all_4_8 = e3) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (103), (360), (362) imply: % 25.74/4.23 | (394) ~ (all_4_12 = all_4_13) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (102), (316), (360) imply: % 25.74/4.23 | (395) ~ (all_4_12 = e0) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (101), (360), (365) imply: % 25.74/4.23 | (396) ~ (all_4_12 = e4) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (100), (360), (367) imply: % 25.74/4.23 | (397) ~ (all_4_12 = all_4_15) % 25.74/4.23 | % 25.74/4.23 | REDUCE: (99), (339), (347) imply: % 25.81/4.23 | (398) ~ (all_4_0 = all_4_21) % 25.81/4.23 | % 25.81/4.23 | REDUCE: (98), (339), (354) imply: % 25.81/4.23 | (399) ~ (all_4_0 = all_4_9) % 25.81/4.23 | % 25.81/4.23 | REDUCE: (97), (339), (362) imply: % 25.81/4.23 | (400) ~ (all_4_0 = all_4_13) % 25.81/4.23 | % 25.81/4.23 | REDUCE: (96), (339), (340) imply: % 25.81/4.23 | (401) ~ (all_4_0 = all_4_1) % 25.81/4.23 | % 25.81/4.23 | REDUCE: (95), (339), (342) imply: % 25.81/4.23 | (402) ~ (all_4_0 = all_4_2) % 25.81/4.23 | % 25.81/4.24 | REDUCE: (94), (339), (344) imply: % 25.81/4.24 | (403) ~ (all_4_0 = all_4_3) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (93), (347), (354) imply: % 25.81/4.24 | (404) ~ (all_4_9 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | SIMP: (404) implies: % 25.81/4.24 | (405) ~ (all_4_9 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (92), (347), (371) imply: % 25.81/4.24 | (406) ~ (all_4_17 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | SIMP: (406) implies: % 25.81/4.24 | (407) ~ (all_4_17 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (91), (347), (348) imply: % 25.81/4.24 | (408) ~ (all_4_5 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | SIMP: (408) implies: % 25.81/4.24 | (409) ~ (all_4_5 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (90), (347), (349) imply: % 25.81/4.24 | (410) ~ (all_4_6 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | SIMP: (410) implies: % 25.81/4.24 | (411) ~ (all_4_6 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (89), (347), (351) imply: % 25.81/4.24 | (412) ~ (all_4_7 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | SIMP: (412) implies: % 25.81/4.24 | (413) ~ (all_4_7 = all_4_21) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (88), (354), (362) imply: % 25.81/4.24 | (414) ~ (all_4_9 = all_4_13) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (87), (354), (371) imply: % 25.81/4.24 | (415) ~ (all_4_9 = all_4_17) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (86), (354), (358) imply: % 25.81/4.24 | (416) ~ (all_4_9 = all_4_10) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (85), (362), (371) imply: % 25.81/4.24 | (417) ~ (all_4_13 = all_4_17) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (84), (316), (362) imply: % 25.81/4.24 | (418) ~ (all_4_13 = e0) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (83), (362), (365) imply: % 25.81/4.24 | (419) ~ (all_4_13 = e4) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (82), (362), (367) imply: % 25.81/4.24 | (420) ~ (all_4_13 = all_4_15) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (81), (371), (373) imply: % 25.81/4.24 | (421) ~ (all_4_17 = all_4_18) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (80), (371), (376) imply: % 25.81/4.24 | (422) ~ (all_4_17 = all_4_24) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (79), (340), (348) imply: % 25.81/4.24 | (423) ~ (all_4_1 = all_4_5) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (78), (316), (340) imply: % 25.81/4.24 | (424) ~ (all_4_1 = e0) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (77), (340), (373) imply: % 25.81/4.24 | (425) ~ (all_4_1 = all_4_18) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (76), (340), (342) imply: % 25.81/4.24 | (426) ~ (all_4_1 = all_4_2) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (75), (340), (344) imply: % 25.81/4.24 | (427) ~ (all_4_1 = all_4_3) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (74), (348), (351) imply: % 25.81/4.24 | (428) ~ (all_4_5 = all_4_7) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (73), (356), (373) imply: % 25.81/4.24 | (429) ~ (all_4_18 = e3) % 25.81/4.24 | % 25.81/4.24 | SIMP: (429) implies: % 25.81/4.24 | (430) ~ (all_4_18 = e3) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (72), (356), (359) imply: % 25.81/4.24 | (431) ~ (all_4_11 = e3) % 25.81/4.24 | % 25.81/4.24 | SIMP: (431) implies: % 25.81/4.24 | (432) ~ (all_4_11 = e3) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (71), (316), (367) imply: % 25.81/4.24 | (433) ~ (all_4_15 = e0) % 25.81/4.24 | % 25.81/4.24 | SIMP: (433) implies: % 25.81/4.24 | (434) ~ (all_4_15 = e0) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (70), (373), (374) imply: % 25.81/4.24 | (435) ~ (all_4_18 = all_4_19) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (69), (373), (376) imply: % 25.81/4.24 | (436) ~ (all_4_18 = all_4_24) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (68), (342), (349) imply: % 25.81/4.24 | (437) ~ (all_4_2 = all_4_6) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (67), (342), (358) imply: % 25.81/4.24 | (438) ~ (all_4_2 = all_4_10) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (66), (342), (374) imply: % 25.81/4.24 | (439) ~ (all_4_2 = all_4_19) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (65), (342), (344) imply: % 25.81/4.24 | (440) ~ (all_4_2 = all_4_3) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (64), (349), (358) imply: % 25.81/4.24 | (441) ~ (all_4_6 = all_4_10) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (63), (349), (351) imply: % 25.81/4.24 | (442) ~ (all_4_6 = all_4_7) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (62), (358), (359) imply: % 25.81/4.24 | (443) ~ (all_4_10 = all_4_11) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (61), (365), (374) imply: % 25.81/4.24 | (444) ~ (all_4_19 = e4) % 25.81/4.24 | % 25.81/4.24 | SIMP: (444) implies: % 25.81/4.24 | (445) ~ (all_4_19 = e4) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (60), (365), (367) imply: % 25.81/4.24 | (446) ~ (all_4_15 = e4) % 25.81/4.24 | % 25.81/4.24 | SIMP: (446) implies: % 25.81/4.24 | (447) ~ (all_4_15 = e4) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (59), (374), (376) imply: % 25.81/4.24 | (448) ~ (all_4_19 = all_4_24) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (58), (344), (367) imply: % 25.81/4.24 | (449) ~ (all_4_3 = all_4_15) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (57), (351), (376) imply: % 25.81/4.24 | (450) ~ (all_4_7 = all_4_24) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (56), (359), (367) imply: % 25.81/4.24 | (451) ~ (all_4_11 = all_4_15) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (55), (359), (376) imply: % 25.81/4.24 | (452) ~ (all_4_11 = all_4_24) % 25.81/4.24 | % 25.81/4.24 | REDUCE: (54), (367), (376) imply: % 25.81/4.24 | (453) ~ (all_4_15 = all_4_24) % 25.81/4.24 | % 25.81/4.24 | BETA: splitting (49) gives: % 25.81/4.24 | % 25.81/4.24 | Case 1: % 25.81/4.24 | | % 25.81/4.24 | | (454) ~ (all_4_22 = e3) % 25.81/4.24 | | % 25.81/4.24 | | REDUCE: (379), (454) imply: % 25.81/4.24 | | (455) $false % 25.81/4.24 | | % 25.81/4.24 | | CLOSE: (455) is inconsistent. % 25.81/4.24 | | % 25.81/4.24 | Case 2: % 25.81/4.24 | | % 25.81/4.24 | | (456) all_4_9 = e2 % 25.81/4.24 | | % 25.81/4.24 | | COMBINE_EQS: (385), (456) imply: % 25.81/4.24 | | (457) all_10_7 = e2 % 25.81/4.24 | | % 25.81/4.24 | | REDUCE: (399), (456) imply: % 25.81/4.24 | | (458) ~ (all_4_0 = e2) % 25.81/4.24 | | % 25.81/4.24 | | REDUCE: (416), (456) imply: % 25.81/4.24 | | (459) ~ (all_4_10 = e2) % 25.81/4.24 | | % 25.81/4.24 | | SIMP: (459) implies: % 25.81/4.24 | | (460) ~ (all_4_10 = e2) % 25.81/4.24 | | % 25.81/4.24 | | REDUCE: (414), (456) imply: % 25.81/4.24 | | (461) ~ (all_4_13 = e2) % 25.81/4.24 | | % 25.81/4.24 | | SIMP: (461) implies: % 25.81/4.24 | | (462) ~ (all_4_13 = e2) % 25.81/4.24 | | % 25.81/4.24 | | REDUCE: (415), (456) imply: % 25.81/4.24 | | (463) ~ (all_4_17 = e2) % 25.81/4.24 | | % 25.81/4.24 | | SIMP: (463) implies: % 25.81/4.24 | | (464) ~ (all_4_17 = e2) % 25.81/4.24 | | % 25.81/4.24 | | REDUCE: (405), (456) imply: % 25.81/4.24 | | (465) ~ (all_4_21 = e2) % 25.81/4.24 | | % 25.81/4.24 | | SIMP: (465) implies: % 25.81/4.24 | | (466) ~ (all_4_21 = e2) % 25.81/4.24 | | % 25.81/4.24 | | REDUCE: (33), (456) imply: % 25.81/4.24 | | (467) op(e2, e3) = e2 % 25.81/4.24 | | % 25.81/4.24 | | BETA: splitting (48) gives: % 25.81/4.24 | | % 25.81/4.24 | | Case 1: % 25.81/4.24 | | | % 25.81/4.24 | | | (468) ~ (all_4_23 = e4) % 25.81/4.24 | | | % 25.81/4.24 | | | REDUCE: (382), (468) imply: % 25.81/4.24 | | | (469) $false % 25.81/4.24 | | | % 25.81/4.24 | | | CLOSE: (469) is inconsistent. % 25.81/4.24 | | | % 25.81/4.24 | | Case 2: % 25.81/4.24 | | | % 25.81/4.24 | | | (470) all_4_12 = e1 % 25.81/4.24 | | | % 25.81/4.24 | | | COMBINE_EQS: (239), (470) imply: % 25.81/4.24 | | | (471) all_10_12 = e1 % 25.81/4.24 | | | % 25.81/4.24 | | | REDUCE: (394), (470) imply: % 25.81/4.24 | | | (472) ~ (all_4_13 = e1) % 25.81/4.24 | | | % 25.81/4.24 | | | SIMP: (472) implies: % 25.81/4.25 | | | (473) ~ (all_4_13 = e1) % 25.81/4.25 | | | % 25.81/4.25 | | | REDUCE: (397), (470) imply: % 25.81/4.25 | | | (474) ~ (all_4_15 = e1) % 25.81/4.25 | | | % 25.81/4.25 | | | SIMP: (474) implies: % 25.81/4.25 | | | (475) ~ (all_4_15 = e1) % 25.81/4.25 | | | % 25.81/4.25 | | | REDUCE: (396), (470) imply: % 25.81/4.25 | | | (476) ~ (e4 = e1) % 25.81/4.25 | | | % 25.81/4.25 | | | SIMP: (476) implies: % 25.81/4.25 | | | (477) ~ (e4 = e1) % 25.81/4.25 | | | % 25.81/4.25 | | | REDUCE: (395), (470) imply: % 25.81/4.25 | | | (478) ~ (e1 = e0) % 25.81/4.25 | | | % 25.81/4.25 | | | REDUCE: (29), (470) imply: % 25.81/4.25 | | | (479) op(e1, e4) = e1 % 25.81/4.25 | | | % 25.81/4.25 | | | BETA: splitting (52) gives: % 25.81/4.25 | | | % 25.81/4.25 | | | Case 1: % 25.81/4.25 | | | | % 25.81/4.25 | | | | (480) ~ (all_4_20 = e2) % 25.81/4.25 | | | | % 25.81/4.25 | | | | REDUCE: (378), (480) imply: % 25.81/4.25 | | | | (481) $false % 25.81/4.25 | | | | % 25.81/4.25 | | | | CLOSE: (481) is inconsistent. % 25.81/4.25 | | | | % 25.81/4.25 | | | Case 2: % 25.81/4.25 | | | | % 25.81/4.25 | | | | (482) all_4_1 = e4 % 25.81/4.25 | | | | % 25.81/4.25 | | | | COMBINE_EQS: (279), (482) imply: % 25.81/4.25 | | | | (483) all_10_4 = e4 % 25.81/4.25 | | | | % 25.81/4.25 | | | | REDUCE: (401), (482) imply: % 25.81/4.25 | | | | (484) ~ (all_4_0 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | REDUCE: (426), (482) imply: % 25.81/4.25 | | | | (485) ~ (all_4_2 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | SIMP: (485) implies: % 25.81/4.25 | | | | (486) ~ (all_4_2 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | REDUCE: (427), (482) imply: % 25.81/4.25 | | | | (487) ~ (all_4_3 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | SIMP: (487) implies: % 25.81/4.25 | | | | (488) ~ (all_4_3 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | REDUCE: (423), (482) imply: % 25.81/4.25 | | | | (489) ~ (all_4_5 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | SIMP: (489) implies: % 25.81/4.25 | | | | (490) ~ (all_4_5 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | REDUCE: (425), (482) imply: % 25.81/4.25 | | | | (491) ~ (all_4_18 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | SIMP: (491) implies: % 25.81/4.25 | | | | (492) ~ (all_4_18 = e4) % 25.81/4.25 | | | | % 25.81/4.25 | | | | REDUCE: (424), (482) imply: % 25.81/4.25 | | | | (493) ~ (e4 = e0) % 25.81/4.25 | | | | % 25.81/4.25 | | | | BETA: splitting (163) gives: % 25.81/4.25 | | | | % 25.81/4.25 | | | | Case 1: % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | (494) all_8_16 = e2 % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | COMBINE_EQS: (314), (494) imply: % 25.81/4.25 | | | | | (495) all_4_13 = e2 % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | SIMP: (495) implies: % 25.81/4.25 | | | | | (496) all_4_13 = e2 % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | REDUCE: (462), (496) imply: % 25.81/4.25 | | | | | (497) $false % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | CLOSE: (497) is inconsistent. % 25.81/4.25 | | | | | % 25.81/4.25 | | | | Case 2: % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | (498) all_8_16 = e4 | all_8_16 = e3 | all_8_16 = e1 | all_8_16 = e0 % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | BETA: splitting (498) gives: % 25.81/4.25 | | | | | % 25.81/4.25 | | | | | Case 1: % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | (499) all_8_16 = e4 % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | COMBINE_EQS: (314), (499) imply: % 25.81/4.25 | | | | | | (500) all_4_13 = e4 % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | SIMP: (500) implies: % 25.81/4.25 | | | | | | (501) all_4_13 = e4 % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | REDUCE: (419), (501) imply: % 25.81/4.25 | | | | | | (502) $false % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | CLOSE: (502) is inconsistent. % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | Case 2: % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | (503) ~ (all_8_16 = e4) % 25.81/4.25 | | | | | | (504) all_8_16 = e3 | all_8_16 = e1 | all_8_16 = e0 % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | BETA: splitting (504) gives: % 25.81/4.25 | | | | | | % 25.81/4.25 | | | | | | Case 1: % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | (505) all_8_16 = e1 % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | COMBINE_EQS: (314), (505) imply: % 25.81/4.25 | | | | | | | (506) all_4_13 = e1 % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | SIMP: (506) implies: % 25.81/4.25 | | | | | | | (507) all_4_13 = e1 % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | REDUCE: (473), (507) imply: % 25.81/4.25 | | | | | | | (508) $false % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | CLOSE: (508) is inconsistent. % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | Case 2: % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | (509) ~ (all_8_16 = e1) % 25.81/4.25 | | | | | | | (510) all_8_16 = e3 | all_8_16 = e0 % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | BETA: splitting (510) gives: % 25.81/4.25 | | | | | | | % 25.81/4.25 | | | | | | | Case 1: % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | (511) all_8_16 = e3 % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | COMBINE_EQS: (314), (511) imply: % 25.81/4.25 | | | | | | | | (512) all_4_13 = e3 % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | SIMP: (512) implies: % 25.81/4.25 | | | | | | | | (513) all_4_13 = e3 % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | COMBINE_EQS: (236), (513) imply: % 25.81/4.25 | | | | | | | | (514) all_10_13 = e3 % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | REDUCE: (400), (513) imply: % 25.81/4.25 | | | | | | | | (515) ~ (all_4_0 = e3) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | REDUCE: (420), (513) imply: % 25.81/4.25 | | | | | | | | (516) ~ (all_4_15 = e3) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | SIMP: (516) implies: % 25.81/4.25 | | | | | | | | (517) ~ (all_4_15 = e3) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | REDUCE: (417), (513) imply: % 25.81/4.25 | | | | | | | | (518) ~ (all_4_17 = e3) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | SIMP: (518) implies: % 25.81/4.25 | | | | | | | | (519) ~ (all_4_17 = e3) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | REDUCE: (419), (513) imply: % 25.81/4.25 | | | | | | | | (520) ~ (e4 = e3) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | SIMP: (520) implies: % 25.81/4.25 | | | | | | | | (521) ~ (e4 = e3) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | REDUCE: (473), (513) imply: % 25.81/4.25 | | | | | | | | (522) ~ (e3 = e1) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | REDUCE: (418), (513) imply: % 25.81/4.25 | | | | | | | | (523) ~ (e3 = e0) % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | REDUCE: (28), (513) imply: % 25.81/4.25 | | | | | | | | (524) op(e1, e3) = e3 % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | BETA: splitting (162) gives: % 25.81/4.25 | | | | | | | | % 25.81/4.25 | | | | | | | | Case 1: % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | (525) all_8_19 = e2 % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | COMBINE_EQS: (326), (525) imply: % 25.81/4.25 | | | | | | | | | (526) all_4_15 = e2 % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | SIMP: (526) implies: % 25.81/4.25 | | | | | | | | | (527) all_4_15 = e2 % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | COMBINE_EQS: (225), (527) imply: % 25.81/4.25 | | | | | | | | | (528) all_10_19 = e2 % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (449), (527) imply: % 25.81/4.25 | | | | | | | | | (529) ~ (all_4_3 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (451), (527) imply: % 25.81/4.25 | | | | | | | | | (530) ~ (all_4_11 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (453), (527) imply: % 25.81/4.25 | | | | | | | | | (531) ~ (all_4_24 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | SIMP: (531) implies: % 25.81/4.25 | | | | | | | | | (532) ~ (all_4_24 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (447), (527) imply: % 25.81/4.25 | | | | | | | | | (533) ~ (e4 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | SIMP: (533) implies: % 25.81/4.25 | | | | | | | | | (534) ~ (e4 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (517), (527) imply: % 25.81/4.25 | | | | | | | | | (535) ~ (e3 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | SIMP: (535) implies: % 25.81/4.25 | | | | | | | | | (536) ~ (e3 = e2) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (475), (527) imply: % 25.81/4.25 | | | | | | | | | (537) ~ (e2 = e1) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (434), (527) imply: % 25.81/4.25 | | | | | | | | | (538) ~ (e2 = e0) % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | REDUCE: (25), (527) imply: % 25.81/4.25 | | | | | | | | | (539) op(e1, e0) = e2 % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | BETA: splitting (47) gives: % 25.81/4.25 | | | | | | | | | % 25.81/4.25 | | | | | | | | | Case 1: % 25.81/4.25 | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | (540) ~ (all_4_24 = e1) % 25.81/4.25 | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | BETA: splitting (46) gives: % 25.81/4.25 | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | Case 1: % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | (541) all_4_20 = e1 % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | COMBINE_EQS: (378), (541) imply: % 25.81/4.25 | | | | | | | | | | | (542) e2 = e1 % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | REDUCE: (537), (542) imply: % 25.81/4.25 | | | | | | | | | | | (543) $false % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | CLOSE: (543) is inconsistent. % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | Case 2: % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | (544) all_4_21 = e1 | all_4_22 = e1 | all_4_23 = e1 | % 25.81/4.25 | | | | | | | | | | | all_4_24 = e1 % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | BETA: splitting (544) gives: % 25.81/4.25 | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | Case 1: % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | (545) all_4_21 = e1 % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | REDUCE: (398), (545) imply: % 25.81/4.25 | | | | | | | | | | | | (546) ~ (all_4_0 = e1) % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | REDUCE: (411), (545) imply: % 25.81/4.25 | | | | | | | | | | | | (547) ~ (all_4_6 = e1) % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | REDUCE: (413), (545) imply: % 25.81/4.25 | | | | | | | | | | | | (548) ~ (all_4_7 = e1) % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | REDUCE: (466), (545) imply: % 25.81/4.25 | | | | | | | | | | | | (549) ~ (e2 = e1) % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | REDUCE: (38), (545) imply: % 25.81/4.25 | | | | | | | | | | | | (550) op(e3, e3) = e1 % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | BETA: splitting (51) gives: % 25.81/4.25 | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | Case 1: % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | (551) ~ (all_4_21 = e1) % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | REDUCE: (545), (551) imply: % 25.81/4.25 | | | | | | | | | | | | | (552) $false % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | CLOSE: (552) is inconsistent. % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | Case 2: % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | (553) all_4_6 = e3 % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | COMBINE_EQS: (261), (553) imply: % 25.81/4.25 | | | | | | | | | | | | | (554) all_10_10 = e3 % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | REDUCE: (442), (553) imply: % 25.81/4.25 | | | | | | | | | | | | | (555) ~ (all_4_7 = e3) % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | SIMP: (555) implies: % 25.81/4.25 | | | | | | | | | | | | | (556) ~ (all_4_7 = e3) % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | REDUCE: (441), (553) imply: % 25.81/4.25 | | | | | | | | | | | | | (557) ~ (all_4_10 = e3) % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | SIMP: (557) implies: % 25.81/4.25 | | | | | | | | | | | | | (558) ~ (all_4_10 = e3) % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | BETA: splitting (166) gives: % 25.81/4.25 | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | Case 1: % 25.81/4.25 | | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | | (559) all_8_1 = e2 % 25.81/4.25 | | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | | COMBINE_EQS: (290), (559) imply: % 25.81/4.25 | | | | | | | | | | | | | | (560) all_4_0 = e2 % 25.81/4.25 | | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | | SIMP: (560) implies: % 25.81/4.25 | | | | | | | | | | | | | | (561) all_4_0 = e2 % 25.81/4.25 | | | | | | | | | | | | | | % 25.81/4.25 | | | | | | | | | | | | | | REDUCE: (458), (561) imply: % 25.81/4.26 | | | | | | | | | | | | | | (562) $false % 25.81/4.26 | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | CLOSE: (562) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | (563) ~ (all_8_1 = e2) % 25.81/4.26 | | | | | | | | | | | | | | (564) all_8_1 = e4 | all_8_1 = e3 | all_8_1 = e1 | % 25.81/4.26 | | | | | | | | | | | | | | all_8_1 = e0 % 25.81/4.26 | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | BETA: splitting (45) gives: % 25.81/4.26 | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | (565) all_4_20 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | REF_CLOSE: (378), (538), (565) are inconsistent by sub-proof % 25.81/4.26 | | | | | | | | | | | | | | | #5. % 25.81/4.26 | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | (566) all_4_21 = e0 | all_4_22 = e0 | all_4_23 = e0 | % 25.81/4.26 | | | | | | | | | | | | | | | all_4_24 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | BETA: splitting (566) gives: % 25.81/4.26 | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | (567) all_4_21 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (545), (567) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | (568) e1 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | SIMP: (568) implies: % 25.81/4.26 | | | | | | | | | | | | | | | | (569) e1 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | REDUCE: (478), (569) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | (570) $false % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | CLOSE: (570) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | (571) all_4_22 = e0 | all_4_23 = e0 | all_4_24 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | BETA: splitting (571) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | (572) all_4_22 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (572) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | (573) e3 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | REDUCE: (523), (573) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | (574) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | CLOSE: (574) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | (575) ~ (all_4_22 = e0) % 25.81/4.26 | | | | | | | | | | | | | | | | | (576) all_4_23 = e0 | all_4_24 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | BETA: splitting (576) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | (577) all_4_23 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (577) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | (578) e4 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | REDUCE: (493), (578) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | (579) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | CLOSE: (579) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | (580) all_4_24 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (210), (580) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | (581) all_10_24 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | (582) all_10_9 = e2 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (582) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | (583) all_4_2 = e2 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | REDUCE: (390), (583) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | (584) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | (585) ~ (all_10_9 = e2) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | (586) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (586) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | (587) all_10_10 = e2 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (587) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | (588) e3 = e2 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (588) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | (589) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | CLOSE: (589) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | (590) ~ (all_10_10 = e2) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | (591) all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | (592) all_10_16 = e3 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (592) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | (593) all_4_3 = e3 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | (594) all_10_0 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (594) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | (595) e2 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (595) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | (596) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (596) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | (597) all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (564) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | (598) all_8_1 = e4 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (598) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | (599) all_4_0 = e4 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (599) implies: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | (600) all_4_0 = e4 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (600) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | (601) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (601) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | (602) ~ (all_8_1 = e4) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | (603) all_8_1 = e3 | all_8_1 = e1 | all_8_1 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | (604) all_10_16 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (604) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | (605) e3 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (605) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | (606) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (606) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | (607) ~ (all_10_16 = e1) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | (608) all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (608) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | (609) all_10_17 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (609) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_4_7 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (610) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | (611) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (611) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_10_18 = e1 | all_10_19 = e1 | all_10_24 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (613) all_10_1 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (613) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_4_0 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (614) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (615) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (615) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (616) ~ (all_10_1 = e1) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (603) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_8_1 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (618) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_4_0 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (619) implies: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) all_4_0 = e1 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (620) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) $false % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (621) is inconsistent. % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_8_1 = e3 | all_8_1 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_10_1 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (623) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_4_0 = e0 % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (402), (624) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) ~ (all_4_2 = e0) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (625) implies: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) ~ (all_4_2 = e0) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (624) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) ~ (e4 = e0) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (624) imply: % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) ~ (e3 = e0) % 25.81/4.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (458), (624) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) ~ (e2 = e0) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (624) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) op(e4, e3) = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (591) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_10_11 = e2 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (631) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) all_4_10 = e2 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (460), (632) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_10_11 = e2) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) all_10_15 = e2 | all_10_23 = e2 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (617) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) all_10_4 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (636) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) e4 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (637) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (638) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) all_10_9 = e1 | all_10_16 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (639) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) all_10_9 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (640) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_4_2 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (438), (641) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) ~ (all_4_10 = e1) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (642) implies: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) ~ (all_4_10 = e1) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_10_9 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (644) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) e1 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (645) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (646) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_10_10 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (648) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) e3 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (649) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (650) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (651) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_10_11 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (652) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_4_10 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (443), (653) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) ~ (all_4_11 = e0) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (654) implies: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) ~ (all_4_11 = e0) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (643), (653) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) ~ (e1 = e0) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (653) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) op(e2, e1) = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (612) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_10_18 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (658) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_4_11 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (659) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) op(e2, e0) = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) unit = e2 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (661) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) op(e2, e1) = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1, % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (657), (662) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) e1 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (663) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (664) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) unit = e4 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (666) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) op(e4, e3) = e3 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3, % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (630), (667) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) e3 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (668) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (669) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) unit = e3 | unit = e1 | unit = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (670) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) unit = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (671) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) op(e2, e1) = e2 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1, % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (657), (672) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) e2 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (673) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (674) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) ~ (unit = e1) % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) unit = e3 | unit = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) unit = e3 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (677) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) op(e3, e3) = e3 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3, % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (550), (678) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) e3 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (679) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (680) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) unit = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (681) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) op(e2, e0) = e2 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0, % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (660), (682) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) e2 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (683) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (684) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) all_10_19 = e1 | all_10_24 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (685) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) all_10_19 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (686) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) e2 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (687) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (688) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) all_10_24 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (689) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) e1 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (690) implies: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) e1 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (691) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (692) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) all_10_15 = e0 | all_10_23 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (693) gives: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) all_10_15 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (694) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) e4 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (695) imply: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) $false % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (696) is inconsistent. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) all_10_23 = e0 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (534), (538), (635), (697) are inconsistent % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #3. % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) all_10_16 = e1 % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (698) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) e3 = e1 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (699) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) $false % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (700) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) ~ (all_10_1 = e0) % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (282), (701) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) ~ (all_4_0 = e0) % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (622) gives: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) all_8_1 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (703) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) all_4_0 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (704) implies: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) all_4_0 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (705) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) $false % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (706) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) all_8_1 = e0 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (707) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) all_4_0 = e0 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (708) implies: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_4_0 = e0 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (709) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) $false % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (710) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | (711) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | (712) all_10_17 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (712) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | (713) all_4_7 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (713) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | (714) $false % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (714) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | (715) all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (715) gives: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | (716) all_10_18 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (716) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | (717) all_4_11 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (717) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | (718) $false % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (718) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | (719) all_10_19 = e3 | all_10_24 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | (720) all_10_19 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (720) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | (721) e3 = e2 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (721) implies: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | (722) e3 = e2 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (722) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | (723) $false % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (723) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | (724) all_10_24 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (724) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | (725) e3 = e0 % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (725) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | (726) $false % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (726) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | (727) all_4_22 = e1 | all_4_23 = e1 | all_4_24 = e1 % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | BETA: splitting (727) gives: % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | (728) all_4_22 = e1 % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | COMBINE_EQS: (379), (728) imply: % 25.81/4.28 | | | | | | | | | | | | | (729) e3 = e1 % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | SIMP: (729) implies: % 25.81/4.28 | | | | | | | | | | | | | (730) e3 = e1 % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | REDUCE: (522), (730) imply: % 25.81/4.28 | | | | | | | | | | | | | (731) $false % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | CLOSE: (731) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | (732) all_4_23 = e1 | all_4_24 = e1 % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | BETA: splitting (732) gives: % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | (733) all_4_23 = e1 % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | COMBINE_EQS: (382), (733) imply: % 25.81/4.28 | | | | | | | | | | | | | | (734) e4 = e1 % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | SIMP: (734) implies: % 25.81/4.28 | | | | | | | | | | | | | | (735) e4 = e1 % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | REDUCE: (477), (735) imply: % 25.81/4.28 | | | | | | | | | | | | | | (736) $false % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | CLOSE: (736) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | (737) all_4_24 = e1 % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | REDUCE: (540), (737) imply: % 25.81/4.28 | | | | | | | | | | | | | | (738) $false % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | CLOSE: (738) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | End of split % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | (739) all_4_24 = e1 % 25.81/4.28 | | | | | | | | | | (740) all_4_19 = e0 % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | COMBINE_EQS: (210), (739) imply: % 25.81/4.28 | | | | | | | | | | (741) all_10_24 = e1 % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | COMBINE_EQS: (213), (740) imply: % 25.81/4.28 | | | | | | | | | | (742) all_10_23 = e0 % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (439), (740) imply: % 25.81/4.28 | | | | | | | | | | (743) ~ (all_4_2 = e0) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (450), (739) imply: % 25.81/4.28 | | | | | | | | | | (744) ~ (all_4_7 = e1) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (452), (739) imply: % 25.81/4.28 | | | | | | | | | | (745) ~ (all_4_11 = e1) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (422), (739) imply: % 25.81/4.28 | | | | | | | | | | (746) ~ (all_4_17 = e1) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (435), (740) imply: % 25.81/4.28 | | | | | | | | | | (747) ~ (all_4_18 = e0) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (436), (739) imply: % 25.81/4.28 | | | | | | | | | | (748) ~ (all_4_18 = e1) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (448), (739), (740) imply: % 25.81/4.28 | | | | | | | | | | (749) ~ (e1 = e0) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (445), (740) imply: % 25.81/4.28 | | | | | | | | | | (750) ~ (e4 = e0) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | REDUCE: (532), (739) imply: % 25.81/4.28 | | | | | | | | | | (751) ~ (e2 = e1) % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | BETA: splitting (45) gives: % 25.81/4.28 | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | (752) all_4_20 = e0 % 25.81/4.28 | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | REF_CLOSE: (378), (538), (752) are inconsistent by sub-proof % 25.81/4.28 | | | | | | | | | | | #5. % 25.81/4.28 | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | (753) all_4_21 = e0 | all_4_22 = e0 | all_4_23 = e0 | % 25.81/4.28 | | | | | | | | | | | all_4_24 = e0 % 25.81/4.28 | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | BETA: splitting (753) gives: % 25.81/4.28 | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | (754) all_4_21 = e0 % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | COMBINE_EQS: (267), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (755) all_10_3 = e0 % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | REDUCE: (398), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (756) ~ (all_4_0 = e0) % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | REDUCE: (391), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (757) ~ (all_4_4 = e0) % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | REDUCE: (409), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (758) ~ (all_4_5 = e0) % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | REDUCE: (411), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (759) ~ (all_4_6 = e0) % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | REDUCE: (407), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (760) ~ (all_4_17 = e0) % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | REDUCE: (466), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (761) ~ (e2 = e0) % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | REDUCE: (38), (754) imply: % 25.81/4.28 | | | | | | | | | | | | (762) op(e3, e3) = e0 % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | BETA: splitting (198) gives: % 25.81/4.28 | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | (763) all_10_9 = e2 % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | COMBINE_EQS: (276), (763) imply: % 25.81/4.28 | | | | | | | | | | | | | (764) all_4_2 = e2 % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | REDUCE: (390), (764) imply: % 25.81/4.28 | | | | | | | | | | | | | (765) $false % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | CLOSE: (765) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | (766) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 25.81/4.28 | | | | | | | | | | | | | all_10_23 = e2 % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | BETA: splitting (766) gives: % 25.81/4.28 | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | (767) all_10_10 = e2 % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | COMBINE_EQS: (261), (767) imply: % 25.81/4.28 | | | | | | | | | | | | | | (768) all_4_6 = e2 % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | REDUCE: (36), (768) imply: % 25.81/4.28 | | | | | | | | | | | | | | (769) op(e3, e1) = e2 % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | BETA: splitting (50) gives: % 25.81/4.28 | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | (770) ~ (all_4_21 = e0) % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | REDUCE: (754), (770) imply: % 25.81/4.28 | | | | | | | | | | | | | | | (771) $false % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | CLOSE: (771) is inconsistent. % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | Case 2: % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | (772) all_4_7 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | COMBINE_EQS: (258), (772) imply: % 25.81/4.28 | | | | | | | | | | | | | | | (773) all_10_17 = e3 % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | REDUCE: (392), (772) imply: % 25.81/4.28 | | | | | | | | | | | | | | | (774) ~ (all_4_4 = e3) % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | REDUCE: (428), (772) imply: % 25.81/4.28 | | | | | | | | | | | | | | | (775) ~ (all_4_5 = e3) % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 25.81/4.28 | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | Case 1: % 25.81/4.28 | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | (776) all_8_22 = e2 % 25.81/4.28 | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (776) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | (777) all_4_18 = e2 % 25.81/4.28 | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | SIMP: (777) implies: % 25.81/4.28 | | | | | | | | | | | | | | | | (778) all_4_18 = e2 % 25.81/4.28 | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (778) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | (779) all_10_22 = e2 % 25.81/4.28 | | | | | | | | | | | | | | | | % 25.81/4.28 | | | | | | | | | | | | | | | | REDUCE: (22), (778) imply: % 25.81/4.28 | | | | | | | | | | | | | | | | (780) op(e0, e2) = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | BETA: splitting (196) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | (781) all_10_16 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (781) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | (782) all_4_3 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | REDUCE: (488), (782) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | (783) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | CLOSE: (783) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | (784) ~ (all_10_16 = e4) % 25.81/4.29 | | | | | | | | | | | | | | | | | (785) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | % 25.81/4.29 | | | | | | | | | | | | | | | | | all_10_24 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | (786) all_10_1 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (786) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | (787) all_4_0 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | REDUCE: (402), (787) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | (788) ~ (all_4_2 = e1) % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | SIMP: (788) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | (789) ~ (all_4_2 = e1) % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | REDUCE: (403), (787) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | (790) ~ (all_4_3 = e1) % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | SIMP: (790) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | (791) ~ (all_4_3 = e1) % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | REDUCE: (515), (787) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | (792) ~ (e3 = e1) % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | REDUCE: (43), (787) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | (793) op(e4, e3) = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | (794) all_8_4 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (794) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | (795) all_4_3 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | SIMP: (795) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | (796) all_4_3 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | REDUCE: (529), (796) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | (797) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | CLOSE: (797) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | (798) all_8_4 = e4 | all_8_4 = e3 | all_8_4 = e1 | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | all_8_4 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | (799) all_8_3 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (799) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | (800) all_4_2 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | SIMP: (800) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | (801) all_4_2 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (801) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | (802) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | CLOSE: (802) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | (803) all_8_3 = e4 | all_8_3 = e3 | all_8_3 = e1 | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | all_8_3 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | (804) all_10_4 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (804) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | (805) e4 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (805) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | (806) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | CLOSE: (806) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | (807) all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | all_10_22 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | (808) all_10_0 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (808) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | (809) e3 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | SIMP: (809) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | (810) e3 = e2 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (810) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | (811) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (811) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | (812) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (812) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | (813) all_10_2 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (813) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | (814) all_4_4 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (814) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | (815) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (815) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | (816) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (807) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | (817) all_10_5 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (817) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | (818) all_4_5 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (818) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | (819) op(e3, e2) = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_10_0 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (820) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | (821) e2 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (821) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | (822) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (822) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (816) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_10_6 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (824) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (825) all_4_8 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (825) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (826) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (826) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_10_12 = e3 | all_10_20 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (827) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_10_12 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (828) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) e3 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (829) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) e3 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (830) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (831) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_10_20 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (823) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_10_2 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (833) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_4_4 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (834) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (835) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (798) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_8_4 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (837) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_4_3 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (838) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_4_3 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (488), (839) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (840) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_8_4 = e3 | all_8_4 = e1 | all_8_4 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (841) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_8_4 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (842) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_4_3 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (843) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_4_3 = e1 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (844) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (845) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) ~ (all_8_4 = e1) % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) all_8_4 = e3 | all_8_4 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (785) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_10_17 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (521), (773), (848) are inconsistent by sub-proof % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (849) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_10_18 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (850) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_4_11 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (851) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) op(e2, e0) = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_10_9 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (853) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) all_4_2 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (440), (854) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) ~ (all_4_3 = e3) % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (855) implies: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) ~ (all_4_3 = e3) % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (854) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) op(e4, e1) = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) all_10_2 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (858) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_4_4 = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (859) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) op(e3, e4) = e4 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_10_6 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (861) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_4_8 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (862) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) op(e2, e4) = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (847) gives: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_8_4 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (864) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_4_3 = e3 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (865) imply: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) $false % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (866) is inconsistent. % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_8_4 = e0 % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (867) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_4_3 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (868) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) op(e4, e0) = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) unit = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (870) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) op(e2, e3) = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (870) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) op(e3, e2) = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (870) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) op(e0, e2) = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e2, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (780), (873) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) e2 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (467), (871) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) e3 = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (819), (872) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) e3 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (875), (876) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) e2 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (877) implies: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) e2 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (874), (878) are inconsistent by sub-proof % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (879) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) unit = e4 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (880) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) op(e4, e3) = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (880) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) op(e4, e4) = e4 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (880) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) op(e3, e4) = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (880) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) op(e2, e4) = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e4, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (863), (884) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) e2 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e4, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (860), (883) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) e4 = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (793), (881) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) e3 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e4, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (17), (882) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) e4 = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (886), (888) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) e3 = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (889) implies: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) e3 = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (887), (890) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) e2 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (891) implies: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) e2 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (885), (892) are inconsistent by sub-proof % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) unit = e3 | unit = e1 | unit = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (893) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) unit = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (894) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) op(e1, e4) = e4 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (894) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) op(e1, e2) = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (894) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) op(e4, e1) = e4 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (894) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) op(e3, e1) = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15), (896) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) e2 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e4, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (479), (895) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) e4 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e1, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (769), (898) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) e3 = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e1, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (857), (897) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) e4 = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (900), (902) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) e3 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (901), (903) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) e2 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (899), (904) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) e1 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (905) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) $false % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (906) is inconsistent. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) ~ (unit = e1) % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) unit = e3 | unit = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (908) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) unit = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (909) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) op(e3, e3) = e3 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (909) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) op(e1, e3) = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e3, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (524), (911) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) e3 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (762), (910) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) e3 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (912), (913) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) e1 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (914) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) $false % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (915) is inconsistent. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) unit = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (916) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) op(e4, e0) = e4 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (916) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) op(e2, e0) = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (916) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) op(e1, e0) = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e0, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (539), (919) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) e2 = e1 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e0, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (852), (918) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) e4 = e2 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e0, % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (869), (917) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) e4 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (921), (922) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) e2 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (923) implies: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) e2 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (920), (924) are inconsistent by sub-proof % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) ~ (all_10_6 = e0) % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (255), (925) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) ~ (all_4_8 = e0) % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (836) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_10_6 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (927) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_4_8 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (926), (928) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) $false % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (929) is inconsistent. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_10_12 = e0 | all_10_20 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (930) gives: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_10_12 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (931) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) e1 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (932) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) $false % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (933) is inconsistent. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_10_20 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (832), (934) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) e3 = e0 % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (935) imply: % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) $false % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (936) is inconsistent. % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (937) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) all_10_3 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (755), (938) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) e4 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (939) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) e4 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (940) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (941) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (942) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_10_5 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (943) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) e4 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (944) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) e4 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (945) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (946) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) all_10_10 = e4 | all_10_17 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (947) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_10_10 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (948) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) e4 = e2 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (949) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) e4 = e2 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (950) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (951) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) all_10_17 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (521), (773), (952) are inconsistent by sub-proof % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) ~ (all_10_9 = e3) % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (953) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) ~ (all_4_2 = e3) % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (803) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_8_3 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (955) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) all_4_2 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (956) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_4_2 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (957) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (958) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) all_8_3 = e3 | all_8_3 = e1 | all_8_3 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (959) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) all_8_3 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (960) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_4_2 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (961) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_4_2 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (962) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (963) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_8_3 = e3 | all_8_3 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (964) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_8_3 = e3 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (965) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_4_2 = e3 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (966) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_4_2 = e3 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (954), (967) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (968) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_8_3 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (969) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_4_2 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (970) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_4_2 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (971) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (972) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_10_19 = e4 | all_10_24 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_10_19 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (974) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) e4 = e2 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (975) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) e4 = e2 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (976) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (977) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_10_24 = e4 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (978) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) e4 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (979) implies: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) e4 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (980) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (981) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | (982) all_10_8 = e1 | all_10_14 = e1 | all_10_22 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (982) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_10_8 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (983) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | (984) e3 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (984) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | (985) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (985) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_10_14 = e1 | all_10_22 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (986) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_10_14 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (987) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (988) e1 = e0 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (988) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (989) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (989) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_10_22 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (779), (990) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (991) e2 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (991) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (992) $false % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (992) is inconsistent. % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | End of split % 25.81/4.31 | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | Case 2: % 25.81/4.31 | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | (993) all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 | % 25.81/4.31 | | | | | | | | | | | | | | | | | | all_10_21 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | BETA: splitting (993) gives: % 25.81/4.31 | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | Case 1: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | (994) all_10_3 = e1 % 25.81/4.31 | | | | | | | | | | | | | | | | | | | % 25.81/4.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (755), (994) imply: % 25.81/4.31 | | | | | | | | | | | | | | | | | | | (995) e1 = e0 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | SIMP: (995) implies: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | (996) e1 = e0 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (996) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | (997) $false % 26.16/4.31 | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | CLOSE: (997) is inconsistent. % 26.16/4.31 | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | (998) all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (998) gives: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | (999) all_10_7 = e1 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (999) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | (1000) e2 = e1 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (1000) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | (1001) $false % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | CLOSE: (1001) is inconsistent. % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | (1002) all_10_13 = e1 | all_10_21 = e1 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | (1003) all_8_21 = e2 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1003) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | (1004) all_4_17 = e2 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | SIMP: (1004) implies: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | (1005) all_4_17 = e2 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (1005) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | (1006) $false % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1006) is inconsistent. % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | (1007) all_8_21 = e4 | all_8_21 = e3 | all_8_21 = e1 | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | all_8_21 = e0 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1007) gives: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | (1008) all_8_21 = e4 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1008) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | (1009) all_4_17 = e4 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1009) implies: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | (1010) all_4_17 = e4 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (1010) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | (1011) all_10_21 = e4 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1002) gives: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | (1012) all_10_13 = e1 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1012) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | (1013) e3 = e1 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (1013) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | (1014) $false % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1014) is inconsistent. % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | (1015) all_10_21 = e1 % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1015) imply: % 26.16/4.31 | | | | | | | | | | | | | | | | | | | | | | | (1016) e4 = e1 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (1016) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | (1017) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1017) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | (1018) all_8_21 = e3 | all_8_21 = e1 | all_8_21 = e0 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1018) gives: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | (1019) all_8_21 = e1 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1019) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | (1020) all_4_17 = e1 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1020) implies: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | (1021) all_4_17 = e1 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (1021) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | (1022) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1022) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | (1023) all_8_21 = e3 | all_8_21 = e0 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_8_21 = e3 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1024) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_4_17 = e3 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1025) implies: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_4_17 = e3 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (1026) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1027) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1027) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_8_21 = e0 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1028) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_4_17 = e0 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1029) implies: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_4_17 = e0 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (1030) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | (1031) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1031) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | (1032) ~ (all_8_22 = e2) % 26.16/4.32 | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | REDUCE: (331), (1032) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | (1033) ~ (all_4_18 = e2) % 26.16/4.32 | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 26.16/4.32 | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | (1034) all_10_20 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | COMBINE_EQS: (222), (1034) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | (1035) all_4_16 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | REDUCE: (388), (1035) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | (1036) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | CLOSE: (1036) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | (1037) all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | % 26.16/4.32 | | | | | | | | | | | | | | | | | all_10_24 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | BETA: splitting (1037) gives: % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | (1038) all_10_21 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (1038) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | (1039) all_4_17 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | REDUCE: (464), (1039) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | (1040) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | CLOSE: (1040) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | (1041) all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | BETA: splitting (1041) gives: % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | (1042) all_10_22 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (1042) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | (1043) all_4_18 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | REDUCE: (1033), (1043) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | (1044) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | CLOSE: (1044) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | (1045) all_10_23 = e2 | all_10_24 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (1045) gives: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | (1046) all_10_23 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (742), (1046) are inconsistent by sub-proof % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | #4. % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | (1047) all_10_24 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (1047) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | (1048) e2 = e1 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | SIMP: (1048) implies: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | (1049) e2 = e1 % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (1049) imply: % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | (1050) $false % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | CLOSE: (1050) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | (1051) all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2 % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | BETA: splitting (1051) gives: % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | (1052) all_10_11 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | COMBINE_EQS: (245), (1052) imply: % 26.16/4.32 | | | | | | | | | | | | | | | (1053) all_4_10 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | REDUCE: (460), (1053) imply: % 26.16/4.32 | | | | | | | | | | | | | | | (1054) $false % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | CLOSE: (1054) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | (1055) all_10_15 = e2 | all_10_23 = e2 % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | | REF_CLOSE: (384), (534), (538), (742), (1055) are % 26.16/4.32 | | | | | | | | | | | | | | | inconsistent by sub-proof #3. % 26.16/4.32 | | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | (1056) all_4_22 = e0 | all_4_23 = e0 | all_4_24 = e0 % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | BETA: splitting (1056) gives: % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | (1057) all_4_22 = e0 % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | COMBINE_EQS: (379), (1057) imply: % 26.16/4.32 | | | | | | | | | | | | | (1058) e3 = e0 % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | SIMP: (1058) implies: % 26.16/4.32 | | | | | | | | | | | | | (1059) e3 = e0 % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | REDUCE: (523), (1059) imply: % 26.16/4.32 | | | | | | | | | | | | | (1060) $false % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | CLOSE: (1060) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | (1061) all_4_23 = e0 | all_4_24 = e0 % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | BETA: splitting (1061) gives: % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | (1062) all_4_23 = e0 % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | COMBINE_EQS: (382), (1062) imply: % 26.16/4.32 | | | | | | | | | | | | | | (1063) e4 = e0 % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | REDUCE: (493), (1063) imply: % 26.16/4.32 | | | | | | | | | | | | | | (1064) $false % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | CLOSE: (1064) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | (1065) all_4_24 = e0 % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | COMBINE_EQS: (739), (1065) imply: % 26.16/4.32 | | | | | | | | | | | | | | (1066) e1 = e0 % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | SIMP: (1066) implies: % 26.16/4.32 | | | | | | | | | | | | | | (1067) e1 = e0 % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | REDUCE: (478), (1067) imply: % 26.16/4.32 | | | | | | | | | | | | | | (1068) $false % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | | CLOSE: (1068) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | % 26.16/4.32 | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | % 26.16/4.32 | | | | | | | | | (1069) all_8_19 = e4 | all_8_19 = e3 | all_8_19 = e1 | % 26.16/4.32 | | | | | | | | | all_8_19 = e0 % 26.16/4.32 | | | | | | | | | % 26.16/4.32 | | | | | | | | | BETA: splitting (1069) gives: % 26.16/4.32 | | | | | | | | | % 26.16/4.32 | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | (1070) all_8_19 = e4 % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | COMBINE_EQS: (326), (1070) imply: % 26.16/4.32 | | | | | | | | | | (1071) all_4_15 = e4 % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | SIMP: (1071) implies: % 26.16/4.32 | | | | | | | | | | (1072) all_4_15 = e4 % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | REDUCE: (447), (1072) imply: % 26.16/4.32 | | | | | | | | | | (1073) $false % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | CLOSE: (1073) is inconsistent. % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | (1074) all_8_19 = e3 | all_8_19 = e1 | all_8_19 = e0 % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | BETA: splitting (1074) gives: % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | (1075) all_8_19 = e1 % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | COMBINE_EQS: (326), (1075) imply: % 26.16/4.32 | | | | | | | | | | | (1076) all_4_15 = e1 % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | SIMP: (1076) implies: % 26.16/4.32 | | | | | | | | | | | (1077) all_4_15 = e1 % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | REDUCE: (475), (1077) imply: % 26.16/4.32 | | | | | | | | | | | (1078) $false % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | CLOSE: (1078) is inconsistent. % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | (1079) all_8_19 = e3 | all_8_19 = e0 % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | BETA: splitting (1079) gives: % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | Case 1: % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | (1080) all_8_19 = e3 % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | COMBINE_EQS: (326), (1080) imply: % 26.16/4.32 | | | | | | | | | | | | (1081) all_4_15 = e3 % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | SIMP: (1081) implies: % 26.16/4.32 | | | | | | | | | | | | (1082) all_4_15 = e3 % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | REDUCE: (517), (1082) imply: % 26.16/4.32 | | | | | | | | | | | | (1083) $false % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | CLOSE: (1083) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | (1084) all_8_19 = e0 % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | COMBINE_EQS: (326), (1084) imply: % 26.16/4.32 | | | | | | | | | | | | (1085) all_4_15 = e0 % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | SIMP: (1085) implies: % 26.16/4.32 | | | | | | | | | | | | (1086) all_4_15 = e0 % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | REDUCE: (434), (1086) imply: % 26.16/4.32 | | | | | | | | | | | | (1087) $false % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | | CLOSE: (1087) is inconsistent. % 26.16/4.32 | | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | | % 26.16/4.32 | | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | | % 26.16/4.32 | | | | | | | | | End of split % 26.16/4.32 | | | | | | | | | % 26.16/4.32 | | | | | | | | End of split % 26.16/4.32 | | | | | | | | % 26.16/4.32 | | | | | | | Case 2: % 26.16/4.32 | | | | | | | | % 26.16/4.32 | | | | | | | | (1088) all_8_16 = e0 % 26.16/4.32 | | | | | | | | % 26.16/4.32 | | | | | | | | COMBINE_EQS: (314), (1088) imply: % 26.16/4.32 | | | | | | | | (1089) all_4_13 = e0 % 26.16/4.32 | | | | | | | | % 26.16/4.32 | | | | | | | | SIMP: (1089) implies: % 26.16/4.32 | | | | | | | | (1090) all_4_13 = e0 % 26.16/4.32 | | | | | | | | % 26.16/4.32 | | | | | | | | REDUCE: (418), (1090) imply: % 26.16/4.32 | | | | | | | | (1091) $false % 26.16/4.32 | | | | | | | | % 26.16/4.32 | | | | | | | | CLOSE: (1091) is inconsistent. % 26.16/4.33 | | | | | | | | % 26.16/4.33 | | | | | | | End of split % 26.16/4.33 | | | | | | | % 26.16/4.33 | | | | | | End of split % 26.16/4.33 | | | | | | % 26.16/4.33 | | | | | End of split % 26.16/4.33 | | | | | % 26.16/4.33 | | | | End of split % 26.16/4.33 | | | | % 26.16/4.33 | | | End of split % 26.16/4.33 | | | % 26.16/4.33 | | End of split % 26.16/4.33 | | % 26.16/4.33 | End of split % 26.16/4.33 | % 26.16/4.33 End of proof % 26.16/4.33 % 26.16/4.33 Sub-proof #1 shows that the following formulas are inconsistent: % 26.16/4.33 ---------------------------------------------------------------- % 26.16/4.33 (1) e2 = e1 % 26.16/4.33 (2) e2 = e0 % 26.16/4.33 (3) ~ (e1 = e0) % 26.16/4.33 % 26.16/4.33 Begin of proof % 26.16/4.33 | % 26.16/4.33 | COMBINE_EQS: (1), (2) imply: % 26.16/4.33 | (4) e1 = e0 % 26.16/4.33 | % 26.16/4.33 | SIMP: (4) implies: % 26.16/4.33 | (5) e1 = e0 % 26.16/4.33 | % 26.16/4.33 | REDUCE: (3), (5) imply: % 26.16/4.33 | (6) $false % 26.16/4.33 | % 26.16/4.33 | CLOSE: (6) is inconsistent. % 26.16/4.33 | % 26.16/4.33 End of proof % 26.16/4.33 % 26.16/4.33 Sub-proof #2 shows that the following formulas are inconsistent: % 26.16/4.33 ---------------------------------------------------------------- % 26.16/4.33 (1) all_10_17 = e4 % 26.16/4.33 (2) all_10_17 = e3 % 26.16/4.33 (3) ~ (e4 = e3) % 26.16/4.33 % 26.16/4.33 Begin of proof % 26.16/4.33 | % 26.16/4.33 | COMBINE_EQS: (1), (2) imply: % 26.16/4.33 | (4) e4 = e3 % 26.16/4.33 | % 26.16/4.33 | SIMP: (4) implies: % 26.16/4.33 | (5) e4 = e3 % 26.16/4.33 | % 26.16/4.33 | REDUCE: (3), (5) imply: % 26.16/4.33 | (6) $false % 26.16/4.33 | % 26.16/4.33 | CLOSE: (6) is inconsistent. % 26.16/4.33 | % 26.16/4.33 End of proof % 26.16/4.33 % 26.16/4.33 Sub-proof #3 shows that the following formulas are inconsistent: % 26.16/4.33 ---------------------------------------------------------------- % 26.16/4.33 (1) all_10_15 = e2 | all_10_23 = e2 % 26.16/4.33 (2) all_10_15 = e4 % 26.16/4.33 (3) ~ (e4 = e2) % 26.16/4.33 (4) ~ (e2 = e0) % 26.16/4.33 (5) all_10_23 = e0 % 26.16/4.33 % 26.16/4.33 Begin of proof % 26.16/4.33 | % 26.16/4.33 | BETA: splitting (1) gives: % 26.16/4.33 | % 26.16/4.33 | Case 1: % 26.16/4.33 | | % 26.16/4.33 | | (6) all_10_15 = e2 % 26.16/4.33 | | % 26.16/4.33 | | COMBINE_EQS: (2), (6) imply: % 26.16/4.33 | | (7) e4 = e2 % 26.16/4.33 | | % 26.16/4.33 | | REDUCE: (3), (7) imply: % 26.16/4.33 | | (8) $false % 26.16/4.33 | | % 26.16/4.33 | | CLOSE: (8) is inconsistent. % 26.16/4.33 | | % 26.16/4.33 | Case 2: % 26.16/4.33 | | % 26.16/4.33 | | (9) all_10_23 = e2 % 26.16/4.33 | | % 26.16/4.33 | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #4. % 26.16/4.33 | | % 26.16/4.33 | End of split % 26.16/4.33 | % 26.16/4.33 End of proof % 26.16/4.33 % 26.16/4.33 Sub-proof #4 shows that the following formulas are inconsistent: % 26.16/4.33 ---------------------------------------------------------------- % 26.16/4.33 (1) all_10_23 = e2 % 26.16/4.33 (2) all_10_23 = e0 % 26.16/4.33 (3) ~ (e2 = e0) % 26.16/4.33 % 26.16/4.33 Begin of proof % 26.16/4.33 | % 26.16/4.33 | COMBINE_EQS: (1), (2) imply: % 26.16/4.33 | (4) e2 = e0 % 26.16/4.33 | % 26.16/4.33 | SIMP: (4) implies: % 26.16/4.33 | (5) e2 = e0 % 26.16/4.33 | % 26.16/4.33 | REDUCE: (3), (5) imply: % 26.16/4.33 | (6) $false % 26.16/4.33 | % 26.16/4.33 | CLOSE: (6) is inconsistent. % 26.16/4.33 | % 26.16/4.33 End of proof % 26.16/4.33 % 26.16/4.33 Sub-proof #5 shows that the following formulas are inconsistent: % 26.16/4.33 ---------------------------------------------------------------- % 26.16/4.33 (1) all_4_20 = e2 % 26.16/4.33 (2) all_4_20 = e0 % 26.16/4.33 (3) ~ (e2 = e0) % 26.16/4.33 % 26.16/4.33 Begin of proof % 26.16/4.33 | % 26.16/4.33 | COMBINE_EQS: (1), (2) imply: % 26.16/4.33 | (4) e2 = e0 % 26.16/4.33 | % 26.16/4.33 | SIMP: (4) implies: % 26.16/4.33 | (5) e2 = e0 % 26.16/4.33 | % 26.16/4.33 | REDUCE: (3), (5) imply: % 26.16/4.33 | (6) $false % 26.16/4.33 | % 26.16/4.33 | CLOSE: (6) is inconsistent. % 26.16/4.33 | % 26.16/4.33 End of proof % 26.16/4.33 % SZS output end Proof for theBenchmark % 26.16/4.33 % 26.16/4.33 3714ms %------------------------------------------------------------------------------