%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM376+1.025 : TPTP v8.1.2. Released v3.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n028.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 : Thu Aug 31 11:47:24 EDT 2023 % Result : Unsatisfiable 126.70s 17.62s % Output : Proof 191.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM376+1.025 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.32 % Computer : n028.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Fri Aug 25 14:25:51 EDT 2023 % 0.10/0.32 % CPUTime : % 0.16/0.59 ________ _____ % 0.16/0.59 ___ __ \_________(_)________________________________ % 0.16/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.16/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.16/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.16/0.59 % 0.16/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.16/0.59 (2023-06-19) % 0.16/0.59 % 0.16/0.59 (c) Philipp Rümmer, 2009-2023 % 0.16/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.16/0.59 Amanda Stjerna. % 0.16/0.59 Free software under BSD-3-Clause. % 0.16/0.59 % 0.16/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.16/0.59 % 0.16/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.16/0.61 Running up to 7 provers in parallel. % 0.16/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.16/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.16/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.16/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.16/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.16/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.16/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 7.26/1.81 Prover 1: Preprocessing ... % 7.26/1.81 Prover 4: Preprocessing ... % 7.37/1.88 Prover 3: Preprocessing ... % 7.37/1.88 Prover 2: Preprocessing ... % 7.37/1.88 Prover 0: Preprocessing ... % 7.37/1.89 Prover 5: Preprocessing ... % 8.11/1.97 Prover 6: Preprocessing ... % 15.20/2.94 Prover 3: Constructing countermodel ... % 15.20/2.95 Prover 5: Constructing countermodel ... % 15.20/2.95 Prover 2: Constructing countermodel ... % 15.20/2.95 Prover 6: Constructing countermodel ... % 15.20/2.96 Prover 4: Constructing countermodel ... % 15.20/2.98 Prover 1: Constructing countermodel ... % 15.92/2.98 Prover 0: Constructing countermodel ... % 69.15/10.27 Prover 2: stopped % 69.15/10.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.33/10.73 Prover 7: Preprocessing ... % 75.56/11.01 Prover 7: Constructing countermodel ... % 97.99/13.97 Prover 5: stopped % 97.99/13.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 100.74/14.24 Prover 8: Preprocessing ... % 102.28/14.39 Prover 8: Constructing countermodel ... % 114.11/15.97 Prover 1: stopped % 114.11/15.97 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 115.71/16.16 Prover 9: Preprocessing ... % 115.71/16.30 Prover 9: Constructing countermodel ... % 126.70/17.61 Prover 3: proved (16946ms) % 126.70/17.62 % 126.70/17.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 126.70/17.62 % 126.70/17.62 Prover 6: stopped % 126.89/17.63 Prover 9: stopped % 126.89/17.63 Prover 0: stopped % 126.89/17.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 126.89/17.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 126.89/17.64 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 126.89/17.65 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 129.23/17.95 Prover 13: Preprocessing ... % 129.23/18.00 Prover 11: Preprocessing ... % 130.01/18.03 Prover 10: Preprocessing ... % 130.01/18.15 Prover 16: Preprocessing ... % 130.01/18.17 Prover 11: Constructing countermodel ... % 130.01/18.25 Prover 13: Constructing countermodel ... % 131.80/18.33 Prover 10: Constructing countermodel ... % 133.59/18.51 Prover 16: Constructing countermodel ... % 150.50/20.80 Prover 13: stopped % 150.50/20.80 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 152.33/20.99 Prover 19: Preprocessing ... % 153.46/21.20 Prover 19: Constructing countermodel ... % 158.46/21.81 Prover 16: stopped % 173.43/23.96 Prover 19: stopped % 184.82/26.03 Prover 4: Found proof (size 12211) % 184.82/26.03 Prover 4: proved (25402ms) % 184.82/26.03 Prover 11: stopped % 184.82/26.03 Prover 7: stopped % 184.82/26.03 Prover 10: stopped % 184.82/26.03 Prover 8: stopped % 184.82/26.03 % 184.82/26.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 184.82/26.03 % 185.54/26.25 % SZS output start Proof for theBenchmark % 185.56/26.29 Assumptions after simplification: % 185.56/26.29 --------------------------------- % 185.56/26.29 % 185.56/26.29 (try_satisfy_this) % 186.14/26.43 $i(n25) & $i(n24) & $i(n23) & $i(n22) & $i(n21) & $i(n20) & $i(n19) & $i(n18) % 186.14/26.43 & $i(n17) & $i(n16) & $i(n15) & $i(n14) & $i(n13) & $i(n12) & $i(n11) & % 186.14/26.43 $i(n10) & $i(n9) & $i(n8) & $i(n7) & $i(n6) & $i(n5) & $i(n4) & $i(n3) & % 186.14/26.43 $i(n2) & $i(n1) & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 186.14/26.43 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : % 186.14/26.43 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ( ~ (v11 = v8) & ~ (n25 = n24) & % 186.14/26.43 ~ (n25 = n23) & ~ (n25 = n22) & ~ (n25 = n21) & ~ (n25 = n20) & ~ (n25 = % 186.14/26.43 n19) & ~ (n25 = n18) & ~ (n25 = n17) & ~ (n25 = n16) & ~ (n25 = n15) & % 186.14/26.43 ~ (n25 = n14) & ~ (n25 = n13) & ~ (n25 = n12) & ~ (n25 = n11) & ~ (n25 % 186.14/26.43 = n10) & ~ (n25 = n9) & ~ (n25 = n8) & ~ (n25 = n7) & ~ (n25 = n6) & % 186.14/26.43 ~ (n25 = n5) & ~ (n25 = n4) & ~ (n25 = n3) & ~ (n25 = n2) & ~ (n25 = n1) % 186.14/26.43 & ~ (n25 = n0) & ~ (n24 = n23) & ~ (n24 = n22) & ~ (n24 = n21) & ~ (n24 % 186.14/26.43 = n20) & ~ (n24 = n19) & ~ (n24 = n18) & ~ (n24 = n17) & ~ (n24 = n16) % 186.14/26.43 & ~ (n24 = n15) & ~ (n24 = n14) & ~ (n24 = n13) & ~ (n24 = n12) & ~ % 186.14/26.43 (n24 = n11) & ~ (n24 = n10) & ~ (n24 = n9) & ~ (n24 = n8) & ~ (n24 = n7) % 186.14/26.43 & ~ (n24 = n6) & ~ (n24 = n5) & ~ (n24 = n4) & ~ (n24 = n3) & ~ (n24 = % 186.14/26.43 n2) & ~ (n24 = n1) & ~ (n24 = n0) & ~ (n23 = n22) & ~ (n23 = n21) & ~ % 186.14/26.43 (n23 = n20) & ~ (n23 = n19) & ~ (n23 = n18) & ~ (n23 = n17) & ~ (n23 = % 186.14/26.43 n16) & ~ (n23 = n15) & ~ (n23 = n14) & ~ (n23 = n13) & ~ (n23 = n12) & % 186.14/26.43 ~ (n23 = n11) & ~ (n23 = n10) & ~ (n23 = n9) & ~ (n23 = n8) & ~ (n23 = % 186.14/26.43 n7) & ~ (n23 = n6) & ~ (n23 = n5) & ~ (n23 = n4) & ~ (n23 = n3) & ~ % 186.14/26.43 (n23 = n2) & ~ (n23 = n1) & ~ (n23 = n0) & ~ (n22 = n21) & ~ (n22 = n20) % 186.14/26.43 & ~ (n22 = n19) & ~ (n22 = n18) & ~ (n22 = n17) & ~ (n22 = n16) & ~ % 186.14/26.43 (n22 = n15) & ~ (n22 = n14) & ~ (n22 = n13) & ~ (n22 = n12) & ~ (n22 = % 186.14/26.43 n11) & ~ (n22 = n10) & ~ (n22 = n9) & ~ (n22 = n8) & ~ (n22 = n7) & ~ % 186.14/26.44 (n22 = n6) & ~ (n22 = n5) & ~ (n22 = n4) & ~ (n22 = n3) & ~ (n22 = n2) & % 186.14/26.44 ~ (n22 = n1) & ~ (n22 = n0) & ~ (n21 = n20) & ~ (n21 = n19) & ~ (n21 = % 186.14/26.44 n18) & ~ (n21 = n17) & ~ (n21 = n16) & ~ (n21 = n15) & ~ (n21 = n14) & % 186.14/26.44 ~ (n21 = n13) & ~ (n21 = n12) & ~ (n21 = n11) & ~ (n21 = n10) & ~ (n21 % 186.14/26.44 = n9) & ~ (n21 = n8) & ~ (n21 = n7) & ~ (n21 = n6) & ~ (n21 = n5) & ~ % 186.14/26.44 (n21 = n4) & ~ (n21 = n3) & ~ (n21 = n2) & ~ (n21 = n1) & ~ (n21 = n0) & % 186.14/26.44 ~ (n20 = n19) & ~ (n20 = n18) & ~ (n20 = n17) & ~ (n20 = n16) & ~ (n20 % 186.14/26.44 = n15) & ~ (n20 = n14) & ~ (n20 = n13) & ~ (n20 = n12) & ~ (n20 = n11) % 186.14/26.44 & ~ (n20 = n10) & ~ (n20 = n9) & ~ (n20 = n8) & ~ (n20 = n7) & ~ (n20 = % 186.14/26.44 n6) & ~ (n20 = n5) & ~ (n20 = n4) & ~ (n20 = n3) & ~ (n20 = n2) & ~ % 186.14/26.44 (n20 = n1) & ~ (n20 = n0) & ~ (n19 = n18) & ~ (n19 = n17) & ~ (n19 = % 186.14/26.44 n16) & ~ (n19 = n15) & ~ (n19 = n14) & ~ (n19 = n13) & ~ (n19 = n12) & % 186.14/26.44 ~ (n19 = n11) & ~ (n19 = n10) & ~ (n19 = n9) & ~ (n19 = n8) & ~ (n19 = % 186.14/26.44 n7) & ~ (n19 = n6) & ~ (n19 = n5) & ~ (n19 = n4) & ~ (n19 = n3) & ~ % 186.14/26.44 (n19 = n2) & ~ (n19 = n1) & ~ (n19 = n0) & ~ (n18 = n17) & ~ (n18 = n16) % 186.14/26.44 & ~ (n18 = n15) & ~ (n18 = n14) & ~ (n18 = n13) & ~ (n18 = n12) & ~ % 186.14/26.44 (n18 = n11) & ~ (n18 = n10) & ~ (n18 = n9) & ~ (n18 = n8) & ~ (n18 = n7) % 186.14/26.44 & ~ (n18 = n6) & ~ (n18 = n5) & ~ (n18 = n4) & ~ (n18 = n3) & ~ (n18 = % 186.14/26.44 n2) & ~ (n18 = n1) & ~ (n18 = n0) & ~ (n17 = n16) & ~ (n17 = n15) & ~ % 186.14/26.44 (n17 = n14) & ~ (n17 = n13) & ~ (n17 = n12) & ~ (n17 = n11) & ~ (n17 = % 186.14/26.44 n10) & ~ (n17 = n9) & ~ (n17 = n8) & ~ (n17 = n7) & ~ (n17 = n6) & ~ % 186.14/26.44 (n17 = n5) & ~ (n17 = n4) & ~ (n17 = n3) & ~ (n17 = n2) & ~ (n17 = n1) & % 186.14/26.44 ~ (n17 = n0) & ~ (n16 = n15) & ~ (n16 = n14) & ~ (n16 = n13) & ~ (n16 = % 186.14/26.44 n12) & ~ (n16 = n11) & ~ (n16 = n10) & ~ (n16 = n9) & ~ (n16 = n8) & % 186.14/26.44 ~ (n16 = n7) & ~ (n16 = n6) & ~ (n16 = n5) & ~ (n16 = n4) & ~ (n16 = n3) % 186.14/26.44 & ~ (n16 = n2) & ~ (n16 = n1) & ~ (n16 = n0) & ~ (n15 = n14) & ~ (n15 = % 186.14/26.44 n13) & ~ (n15 = n12) & ~ (n15 = n11) & ~ (n15 = n10) & ~ (n15 = n9) & % 186.14/26.44 ~ (n15 = n8) & ~ (n15 = n7) & ~ (n15 = n6) & ~ (n15 = n5) & ~ (n15 = n4) % 186.14/26.44 & ~ (n15 = n3) & ~ (n15 = n2) & ~ (n15 = n1) & ~ (n15 = n0) & ~ (n14 = % 186.14/26.44 n13) & ~ (n14 = n12) & ~ (n14 = n11) & ~ (n14 = n10) & ~ (n14 = n9) & % 186.14/26.44 ~ (n14 = n8) & ~ (n14 = n7) & ~ (n14 = n6) & ~ (n14 = n5) & ~ (n14 = n4) % 186.14/26.44 & ~ (n14 = n3) & ~ (n14 = n2) & ~ (n14 = n1) & ~ (n14 = n0) & ~ (n13 = % 186.14/26.44 n12) & ~ (n13 = n11) & ~ (n13 = n10) & ~ (n13 = n9) & ~ (n13 = n8) & % 186.14/26.44 ~ (n13 = n7) & ~ (n13 = n6) & ~ (n13 = n5) & ~ (n13 = n4) & ~ (n13 = n3) % 186.14/26.44 & ~ (n13 = n2) & ~ (n13 = n1) & ~ (n13 = n0) & ~ (n12 = n11) & ~ (n12 = % 186.14/26.44 n10) & ~ (n12 = n9) & ~ (n12 = n8) & ~ (n12 = n7) & ~ (n12 = n6) & ~ % 186.14/26.44 (n12 = n5) & ~ (n12 = n4) & ~ (n12 = n3) & ~ (n12 = n2) & ~ (n12 = n1) & % 186.14/26.44 ~ (n12 = n0) & ~ (n11 = n10) & ~ (n11 = n9) & ~ (n11 = n8) & ~ (n11 = % 186.14/26.44 n7) & ~ (n11 = n6) & ~ (n11 = n5) & ~ (n11 = n4) & ~ (n11 = n3) & ~ % 186.14/26.44 (n11 = n2) & ~ (n11 = n1) & ~ (n11 = n0) & ~ (n10 = n9) & ~ (n10 = n8) & % 186.14/26.44 ~ (n10 = n7) & ~ (n10 = n6) & ~ (n10 = n5) & ~ (n10 = n4) & ~ (n10 = % 186.14/26.44 n3) & ~ (n10 = n2) & ~ (n10 = n1) & ~ (n10 = n0) & ~ (n9 = n8) & ~ % 186.14/26.44 (n9 = n7) & ~ (n9 = n6) & ~ (n9 = n5) & ~ (n9 = n4) & ~ (n9 = n3) & ~ % 186.14/26.44 (n9 = n2) & ~ (n9 = n1) & ~ (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6) & ~ % 186.14/26.44 (n8 = n5) & ~ (n8 = n4) & ~ (n8 = n3) & ~ (n8 = n2) & ~ (n8 = n1) & ~ % 186.14/26.44 (n8 = n0) & ~ (n7 = n6) & ~ (n7 = n5) & ~ (n7 = n4) & ~ (n7 = n3) & ~ % 186.14/26.44 (n7 = n2) & ~ (n7 = n1) & ~ (n7 = n0) & ~ (n6 = n5) & ~ (n6 = n4) & ~ % 186.14/26.44 (n6 = n3) & ~ (n6 = n2) & ~ (n6 = n1) & ~ (n6 = n0) & ~ (n5 = n4) & ~ % 186.14/26.44 (n5 = n3) & ~ (n5 = n2) & ~ (n5 = n1) & ~ (n5 = n0) & ~ (n4 = n3) & ~ % 186.14/26.44 (n4 = n2) & ~ (n4 = n1) & ~ (n4 = n0) & ~ (n3 = n2) & ~ (n3 = n1) & ~ % 186.14/26.44 (n3 = n0) & ~ (n2 = n1) & ~ (n2 = n0) & ~ (n1 = n0) & pred(v1) = v5 & % 186.14/26.44 pred(v0) = v2 & pred(n25) = n24 & pred(n24) = n23 & pred(n23) = n22 & % 186.14/26.44 pred(n22) = n21 & pred(n21) = n20 & pred(n20) = n19 & pred(n19) = n18 & % 186.14/26.44 pred(n18) = n17 & pred(n17) = n16 & pred(n16) = n15 & pred(n15) = n14 & % 186.14/26.44 pred(n14) = n13 & pred(n13) = n12 & pred(n12) = n11 & pred(n11) = n10 & % 186.14/26.44 pred(n10) = n9 & pred(n9) = n8 & pred(n8) = n7 & pred(n7) = n6 & pred(n6) = % 186.14/26.44 n5 & pred(n5) = n4 & pred(n4) = n3 & pred(n3) = n2 & pred(n2) = n1 & % 186.14/26.44 pred(n1) = n0 & pred(n0) = n25 & succ(v1) = v3 & succ(v0) = v6 & succ(n25) = % 186.14/26.44 n0 & succ(n24) = n25 & succ(n23) = n24 & succ(n22) = n23 & succ(n21) = n22 & % 186.14/26.44 succ(n20) = n21 & succ(n19) = n20 & succ(n18) = n19 & succ(n17) = n18 & % 186.14/26.44 succ(n16) = n17 & succ(n15) = n16 & succ(n14) = n15 & succ(n13) = n14 & % 186.14/26.44 succ(n12) = n13 & succ(n11) = n12 & succ(n10) = n11 & succ(n9) = n10 & % 186.14/26.44 succ(n8) = n9 & succ(n7) = n8 & succ(n6) = n7 & succ(n5) = n6 & succ(n4) = % 186.14/26.44 n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(n0) = n1 & sum(v9, % 186.14/26.44 v10) = v11 & sum(v5, v6) = v7 & sum(v5, v3) = v10 & sum(v4, v7) = v8 & % 186.14/26.44 sum(v2, v6) = v9 & sum(v2, v3) = v4 & sum(n25, n25) = n24 & sum(n25, n24) = % 186.14/26.44 n23 & sum(n25, n23) = n22 & sum(n25, n22) = n21 & sum(n25, n21) = n20 & % 186.14/26.44 sum(n25, n20) = n19 & sum(n25, n19) = n18 & sum(n25, n18) = n17 & sum(n25, % 186.14/26.44 n17) = n16 & sum(n25, n16) = n15 & sum(n25, n15) = n14 & sum(n25, n14) = % 186.14/26.44 n13 & sum(n25, n13) = n12 & sum(n25, n12) = n11 & sum(n25, n11) = n10 & % 186.14/26.44 sum(n25, n10) = n9 & sum(n25, n9) = n8 & sum(n25, n8) = n7 & sum(n25, n7) = % 186.14/26.44 n6 & sum(n25, n6) = n5 & sum(n25, n5) = n4 & sum(n25, n4) = n3 & sum(n25, % 186.14/26.44 n3) = n2 & sum(n25, n2) = n1 & sum(n25, n1) = n0 & sum(n25, n0) = n25 & % 186.14/26.44 sum(n24, n25) = n23 & sum(n24, n24) = n22 & sum(n24, n23) = n21 & sum(n24, % 186.14/26.44 n22) = n20 & sum(n24, n21) = n19 & sum(n24, n20) = n18 & sum(n24, n19) = % 186.14/26.44 n17 & sum(n24, n18) = n16 & sum(n24, n17) = n15 & sum(n24, n16) = n14 & % 186.14/26.44 sum(n24, n15) = n13 & sum(n24, n14) = n12 & sum(n24, n13) = n11 & sum(n24, % 186.14/26.44 n12) = n10 & sum(n24, n11) = n9 & sum(n24, n10) = n8 & sum(n24, n9) = n7 & % 186.14/26.44 sum(n24, n8) = n6 & sum(n24, n7) = n5 & sum(n24, n6) = n4 & sum(n24, n5) = % 186.14/26.44 n3 & sum(n24, n4) = n2 & sum(n24, n3) = n1 & sum(n24, n2) = n0 & sum(n24, % 186.14/26.44 n1) = n25 & sum(n24, n0) = n24 & sum(n23, n25) = n22 & sum(n23, n24) = n21 % 186.14/26.44 & sum(n23, n23) = n20 & sum(n23, n22) = n19 & sum(n23, n21) = n18 & sum(n23, % 186.14/26.44 n20) = n17 & sum(n23, n19) = n16 & sum(n23, n18) = n15 & sum(n23, n17) = % 186.14/26.44 n14 & sum(n23, n16) = n13 & sum(n23, n15) = n12 & sum(n23, n14) = n11 & % 186.14/26.44 sum(n23, n13) = n10 & sum(n23, n12) = n9 & sum(n23, n11) = n8 & sum(n23, % 186.14/26.44 n10) = n7 & sum(n23, n9) = n6 & sum(n23, n8) = n5 & sum(n23, n7) = n4 & % 186.14/26.44 sum(n23, n6) = n3 & sum(n23, n5) = n2 & sum(n23, n4) = n1 & sum(n23, n3) = % 186.14/26.44 n0 & sum(n23, n2) = n25 & sum(n23, n1) = n24 & sum(n23, n0) = n23 & sum(n22, % 186.14/26.44 n25) = n21 & sum(n22, n24) = n20 & sum(n22, n23) = n19 & sum(n22, n22) = % 186.14/26.44 n18 & sum(n22, n21) = n17 & sum(n22, n20) = n16 & sum(n22, n19) = n15 & % 186.14/26.44 sum(n22, n18) = n14 & sum(n22, n17) = n13 & sum(n22, n16) = n12 & sum(n22, % 186.14/26.44 n15) = n11 & sum(n22, n14) = n10 & sum(n22, n13) = n9 & sum(n22, n12) = n8 % 186.14/26.44 & sum(n22, n11) = n7 & sum(n22, n10) = n6 & sum(n22, n9) = n5 & sum(n22, n8) % 186.14/26.44 = n4 & sum(n22, n7) = n3 & sum(n22, n6) = n2 & sum(n22, n5) = n1 & sum(n22, % 186.14/26.44 n4) = n0 & sum(n22, n3) = n25 & sum(n22, n2) = n24 & sum(n22, n1) = n23 & % 186.14/26.44 sum(n22, n0) = n22 & sum(n21, n25) = n20 & sum(n21, n24) = n19 & sum(n21, % 186.14/26.44 n23) = n18 & sum(n21, n22) = n17 & sum(n21, n21) = n16 & sum(n21, n20) = % 186.14/26.44 n15 & sum(n21, n19) = n14 & sum(n21, n18) = n13 & sum(n21, n17) = n12 & % 186.14/26.44 sum(n21, n16) = n11 & sum(n21, n15) = n10 & sum(n21, n14) = n9 & sum(n21, % 186.14/26.44 n13) = n8 & sum(n21, n12) = n7 & sum(n21, n11) = n6 & sum(n21, n10) = n5 & % 186.14/26.44 sum(n21, n9) = n4 & sum(n21, n8) = n3 & sum(n21, n7) = n2 & sum(n21, n6) = % 186.14/26.44 n1 & sum(n21, n5) = n0 & sum(n21, n4) = n25 & sum(n21, n3) = n24 & sum(n21, % 186.14/26.44 n2) = n23 & sum(n21, n1) = n22 & sum(n21, n0) = n21 & sum(n20, n25) = n19 % 186.14/26.44 & sum(n20, n24) = n18 & sum(n20, n23) = n17 & sum(n20, n22) = n16 & sum(n20, % 186.14/26.44 n21) = n15 & sum(n20, n20) = n14 & sum(n20, n19) = n13 & sum(n20, n18) = % 186.14/26.44 n12 & sum(n20, n17) = n11 & sum(n20, n16) = n10 & sum(n20, n15) = n9 & % 186.14/26.44 sum(n20, n14) = n8 & sum(n20, n13) = n7 & sum(n20, n12) = n6 & sum(n20, n11) % 186.14/26.44 = n5 & sum(n20, n10) = n4 & sum(n20, n9) = n3 & sum(n20, n8) = n2 & sum(n20, % 186.14/26.44 n7) = n1 & sum(n20, n6) = n0 & sum(n20, n5) = n25 & sum(n20, n4) = n24 & % 186.14/26.44 sum(n20, n3) = n23 & sum(n20, n2) = n22 & sum(n20, n1) = n21 & sum(n20, n0) % 186.14/26.44 = n20 & sum(n19, n25) = n18 & sum(n19, n24) = n17 & sum(n19, n23) = n16 & % 186.14/26.44 sum(n19, n22) = n15 & sum(n19, n21) = n14 & sum(n19, n20) = n13 & sum(n19, % 186.14/26.44 n19) = n12 & sum(n19, n18) = n11 & sum(n19, n17) = n10 & sum(n19, n16) = % 186.14/26.44 n9 & sum(n19, n15) = n8 & sum(n19, n14) = n7 & sum(n19, n13) = n6 & sum(n19, % 186.14/26.44 n12) = n5 & sum(n19, n11) = n4 & sum(n19, n10) = n3 & sum(n19, n9) = n2 & % 186.14/26.44 sum(n19, n8) = n1 & sum(n19, n7) = n0 & sum(n19, n6) = n25 & sum(n19, n5) = % 186.14/26.44 n24 & sum(n19, n4) = n23 & sum(n19, n3) = n22 & sum(n19, n2) = n21 & % 186.14/26.44 sum(n19, n1) = n20 & sum(n19, n0) = n19 & sum(n18, n25) = n17 & sum(n18, % 186.14/26.44 n24) = n16 & sum(n18, n23) = n15 & sum(n18, n22) = n14 & sum(n18, n21) = % 186.14/26.44 n13 & sum(n18, n20) = n12 & sum(n18, n19) = n11 & sum(n18, n18) = n10 & % 186.14/26.44 sum(n18, n17) = n9 & sum(n18, n16) = n8 & sum(n18, n15) = n7 & sum(n18, n14) % 186.14/26.45 = n6 & sum(n18, n13) = n5 & sum(n18, n12) = n4 & sum(n18, n11) = n3 & % 186.14/26.45 sum(n18, n10) = n2 & sum(n18, n9) = n1 & sum(n18, n8) = n0 & sum(n18, n7) = % 186.14/26.45 n25 & sum(n18, n6) = n24 & sum(n18, n5) = n23 & sum(n18, n4) = n22 & % 186.14/26.45 sum(n18, n3) = n21 & sum(n18, n2) = n20 & sum(n18, n1) = n19 & sum(n18, n0) % 186.14/26.45 = n18 & sum(n17, n25) = n16 & sum(n17, n24) = n15 & sum(n17, n23) = n14 & % 186.14/26.45 sum(n17, n22) = n13 & sum(n17, n21) = n12 & sum(n17, n20) = n11 & sum(n17, % 186.14/26.45 n19) = n10 & sum(n17, n18) = n9 & sum(n17, n17) = n8 & sum(n17, n16) = n7 % 186.14/26.45 & sum(n17, n15) = n6 & sum(n17, n14) = n5 & sum(n17, n13) = n4 & sum(n17, % 186.14/26.45 n12) = n3 & sum(n17, n11) = n2 & sum(n17, n10) = n1 & sum(n17, n9) = n0 & % 186.14/26.45 sum(n17, n8) = n25 & sum(n17, n7) = n24 & sum(n17, n6) = n23 & sum(n17, n5) % 186.14/26.45 = n22 & sum(n17, n4) = n21 & sum(n17, n3) = n20 & sum(n17, n2) = n19 & % 186.14/26.45 sum(n17, n1) = n18 & sum(n17, n0) = n17 & sum(n16, n25) = n15 & sum(n16, % 186.14/26.45 n24) = n14 & sum(n16, n23) = n13 & sum(n16, n22) = n12 & sum(n16, n21) = % 186.14/26.45 n11 & sum(n16, n20) = n10 & sum(n16, n19) = n9 & sum(n16, n18) = n8 & % 186.14/26.45 sum(n16, n17) = n7 & sum(n16, n16) = n6 & sum(n16, n15) = n5 & sum(n16, n14) % 186.14/26.45 = n4 & sum(n16, n13) = n3 & sum(n16, n12) = n2 & sum(n16, n11) = n1 & % 186.14/26.45 sum(n16, n10) = n0 & sum(n16, n9) = n25 & sum(n16, n8) = n24 & sum(n16, n7) % 186.14/26.45 = n23 & sum(n16, n6) = n22 & sum(n16, n5) = n21 & sum(n16, n4) = n20 & % 186.14/26.45 sum(n16, n3) = n19 & sum(n16, n2) = n18 & sum(n16, n1) = n17 & sum(n16, n0) % 186.14/26.45 = n16 & sum(n15, n25) = n14 & sum(n15, n24) = n13 & sum(n15, n23) = n12 & % 186.14/26.45 sum(n15, n22) = n11 & sum(n15, n21) = n10 & sum(n15, n20) = n9 & sum(n15, % 186.14/26.45 n19) = n8 & sum(n15, n18) = n7 & sum(n15, n17) = n6 & sum(n15, n16) = n5 & % 186.14/26.45 sum(n15, n15) = n4 & sum(n15, n14) = n3 & sum(n15, n13) = n2 & sum(n15, n12) % 186.14/26.45 = n1 & sum(n15, n11) = n0 & sum(n15, n10) = n25 & sum(n15, n9) = n24 & % 186.14/26.45 sum(n15, n8) = n23 & sum(n15, n7) = n22 & sum(n15, n6) = n21 & sum(n15, n5) % 186.14/26.45 = n20 & sum(n15, n4) = n19 & sum(n15, n3) = n18 & sum(n15, n2) = n17 & % 186.14/26.45 sum(n15, n1) = n16 & sum(n15, n0) = n15 & sum(n14, n25) = n13 & sum(n14, % 186.14/26.45 n24) = n12 & sum(n14, n23) = n11 & sum(n14, n22) = n10 & sum(n14, n21) = % 186.14/26.45 n9 & sum(n14, n20) = n8 & sum(n14, n19) = n7 & sum(n14, n18) = n6 & sum(n14, % 186.14/26.45 n17) = n5 & sum(n14, n16) = n4 & sum(n14, n15) = n3 & sum(n14, n14) = n2 & % 186.14/26.45 sum(n14, n13) = n1 & sum(n14, n12) = n0 & sum(n14, n11) = n25 & sum(n14, % 186.14/26.45 n10) = n24 & sum(n14, n9) = n23 & sum(n14, n8) = n22 & sum(n14, n7) = n21 % 186.14/26.45 & sum(n14, n6) = n20 & sum(n14, n5) = n19 & sum(n14, n4) = n18 & sum(n14, % 186.14/26.45 n3) = n17 & sum(n14, n2) = n16 & sum(n14, n1) = n15 & sum(n14, n0) = n14 & % 186.14/26.45 sum(n13, n25) = n12 & sum(n13, n24) = n11 & sum(n13, n23) = n10 & sum(n13, % 186.14/26.45 n22) = n9 & sum(n13, n21) = n8 & sum(n13, n20) = n7 & sum(n13, n19) = n6 & % 186.14/26.45 sum(n13, n18) = n5 & sum(n13, n17) = n4 & sum(n13, n16) = n3 & sum(n13, n15) % 186.14/26.45 = n2 & sum(n13, n14) = n1 & sum(n13, n13) = n0 & sum(n13, n12) = n25 & % 186.14/26.45 sum(n13, n11) = n24 & sum(n13, n10) = n23 & sum(n13, n9) = n22 & sum(n13, % 186.14/26.45 n8) = n21 & sum(n13, n7) = n20 & sum(n13, n6) = n19 & sum(n13, n5) = n18 & % 186.14/26.45 sum(n13, n4) = n17 & sum(n13, n3) = n16 & sum(n13, n2) = n15 & sum(n13, n1) % 186.14/26.45 = n14 & sum(n13, n0) = n13 & sum(n12, n25) = n11 & sum(n12, n24) = n10 & % 186.14/26.45 sum(n12, n23) = n9 & sum(n12, n22) = n8 & sum(n12, n21) = n7 & sum(n12, n20) % 186.14/26.45 = n6 & sum(n12, n19) = n5 & sum(n12, n18) = n4 & sum(n12, n17) = n3 & % 186.14/26.45 sum(n12, n16) = n2 & sum(n12, n15) = n1 & sum(n12, n14) = n0 & sum(n12, n13) % 186.14/26.45 = n25 & sum(n12, n12) = n24 & sum(n12, n11) = n23 & sum(n12, n10) = n22 & % 186.14/26.45 sum(n12, n9) = n21 & sum(n12, n8) = n20 & sum(n12, n7) = n19 & sum(n12, n6) % 186.14/26.45 = n18 & sum(n12, n5) = n17 & sum(n12, n4) = n16 & sum(n12, n3) = n15 & % 186.14/26.45 sum(n12, n2) = n14 & sum(n12, n1) = n13 & sum(n12, n0) = n12 & sum(n11, n25) % 186.14/26.45 = n10 & sum(n11, n24) = n9 & sum(n11, n23) = n8 & sum(n11, n22) = n7 & % 186.14/26.45 sum(n11, n21) = n6 & sum(n11, n20) = n5 & sum(n11, n19) = n4 & sum(n11, n18) % 186.14/26.45 = n3 & sum(n11, n17) = n2 & sum(n11, n16) = n1 & sum(n11, n15) = n0 & % 186.14/26.45 sum(n11, n14) = n25 & sum(n11, n13) = n24 & sum(n11, n12) = n23 & sum(n11, % 186.14/26.45 n11) = n22 & sum(n11, n10) = n21 & sum(n11, n9) = n20 & sum(n11, n8) = n19 % 186.14/26.45 & sum(n11, n7) = n18 & sum(n11, n6) = n17 & sum(n11, n5) = n16 & sum(n11, % 186.14/26.45 n4) = n15 & sum(n11, n3) = n14 & sum(n11, n2) = n13 & sum(n11, n1) = n12 & % 186.14/26.45 sum(n11, n0) = n11 & sum(n10, n25) = n9 & sum(n10, n24) = n8 & sum(n10, n23) % 186.14/26.45 = n7 & sum(n10, n22) = n6 & sum(n10, n21) = n5 & sum(n10, n20) = n4 & % 186.14/26.45 sum(n10, n19) = n3 & sum(n10, n18) = n2 & sum(n10, n17) = n1 & sum(n10, n16) % 186.14/26.45 = n0 & sum(n10, n15) = n25 & sum(n10, n14) = n24 & sum(n10, n13) = n23 & % 186.14/26.45 sum(n10, n12) = n22 & sum(n10, n11) = n21 & sum(n10, n10) = n20 & sum(n10, % 186.14/26.45 n9) = n19 & sum(n10, n8) = n18 & sum(n10, n7) = n17 & sum(n10, n6) = n16 & % 186.14/26.45 sum(n10, n5) = n15 & sum(n10, n4) = n14 & sum(n10, n3) = n13 & sum(n10, n2) % 186.14/26.45 = n12 & sum(n10, n1) = n11 & sum(n10, n0) = n10 & sum(n9, n25) = n8 & % 186.14/26.45 sum(n9, n24) = n7 & sum(n9, n23) = n6 & sum(n9, n22) = n5 & sum(n9, n21) = % 186.14/26.45 n4 & sum(n9, n20) = n3 & sum(n9, n19) = n2 & sum(n9, n18) = n1 & sum(n9, % 186.14/26.45 n17) = n0 & sum(n9, n16) = n25 & sum(n9, n15) = n24 & sum(n9, n14) = n23 & % 186.14/26.45 sum(n9, n13) = n22 & sum(n9, n12) = n21 & sum(n9, n11) = n20 & sum(n9, n10) % 186.14/26.45 = n19 & sum(n9, n9) = n18 & sum(n9, n8) = n17 & sum(n9, n7) = n16 & sum(n9, % 186.14/26.45 n6) = n15 & sum(n9, n5) = n14 & sum(n9, n4) = n13 & sum(n9, n3) = n12 & % 186.14/26.45 sum(n9, n2) = n11 & sum(n9, n1) = n10 & sum(n9, n0) = n9 & sum(n8, n25) = n7 % 186.14/26.45 & sum(n8, n24) = n6 & sum(n8, n23) = n5 & sum(n8, n22) = n4 & sum(n8, n21) = % 186.14/26.45 n3 & sum(n8, n20) = n2 & sum(n8, n19) = n1 & sum(n8, n18) = n0 & sum(n8, % 186.14/26.45 n17) = n25 & sum(n8, n16) = n24 & sum(n8, n15) = n23 & sum(n8, n14) = n22 % 186.14/26.45 & sum(n8, n13) = n21 & sum(n8, n12) = n20 & sum(n8, n11) = n19 & sum(n8, % 186.14/26.45 n10) = n18 & sum(n8, n9) = n17 & sum(n8, n8) = n16 & sum(n8, n7) = n15 & % 186.14/26.45 sum(n8, n6) = n14 & sum(n8, n5) = n13 & sum(n8, n4) = n12 & sum(n8, n3) = % 186.14/26.45 n11 & sum(n8, n2) = n10 & sum(n8, n1) = n9 & sum(n8, n0) = n8 & sum(n7, n25) % 186.14/26.45 = n6 & sum(n7, n24) = n5 & sum(n7, n23) = n4 & sum(n7, n22) = n3 & sum(n7, % 186.14/26.45 n21) = n2 & sum(n7, n20) = n1 & sum(n7, n19) = n0 & sum(n7, n18) = n25 & % 186.14/26.45 sum(n7, n17) = n24 & sum(n7, n16) = n23 & sum(n7, n15) = n22 & sum(n7, n14) % 186.14/26.45 = n21 & sum(n7, n13) = n20 & sum(n7, n12) = n19 & sum(n7, n11) = n18 & % 186.14/26.45 sum(n7, n10) = n17 & sum(n7, n9) = n16 & sum(n7, n8) = n15 & sum(n7, n7) = % 186.14/26.45 n14 & sum(n7, n6) = n13 & sum(n7, n5) = n12 & sum(n7, n4) = n11 & sum(n7, % 186.14/26.45 n3) = n10 & sum(n7, n2) = n9 & sum(n7, n1) = n8 & sum(n7, n0) = n7 & % 186.14/26.45 sum(n6, n25) = n5 & sum(n6, n24) = n4 & sum(n6, n23) = n3 & sum(n6, n22) = % 186.14/26.45 n2 & sum(n6, n21) = n1 & sum(n6, n20) = n0 & sum(n6, n19) = n25 & sum(n6, % 186.14/26.45 n18) = n24 & sum(n6, n17) = n23 & sum(n6, n16) = n22 & sum(n6, n15) = n21 % 186.14/26.45 & sum(n6, n14) = n20 & sum(n6, n13) = n19 & sum(n6, n12) = n18 & sum(n6, % 186.14/26.45 n11) = n17 & sum(n6, n10) = n16 & sum(n6, n9) = n15 & sum(n6, n8) = n14 & % 186.14/26.45 sum(n6, n7) = n13 & sum(n6, n6) = n12 & sum(n6, n5) = n11 & sum(n6, n4) = % 186.14/26.45 n10 & sum(n6, n3) = n9 & sum(n6, n2) = n8 & sum(n6, n1) = n7 & sum(n6, n0) = % 186.14/26.45 n6 & sum(n5, n25) = n4 & sum(n5, n24) = n3 & sum(n5, n23) = n2 & sum(n5, % 186.14/26.45 n22) = n1 & sum(n5, n21) = n0 & sum(n5, n20) = n25 & sum(n5, n19) = n24 & % 186.14/26.45 sum(n5, n18) = n23 & sum(n5, n17) = n22 & sum(n5, n16) = n21 & sum(n5, n15) % 186.14/26.45 = n20 & sum(n5, n14) = n19 & sum(n5, n13) = n18 & sum(n5, n12) = n17 & % 186.14/26.45 sum(n5, n11) = n16 & sum(n5, n10) = n15 & sum(n5, n9) = n14 & sum(n5, n8) = % 186.14/26.45 n13 & sum(n5, n7) = n12 & sum(n5, n6) = n11 & sum(n5, n5) = n10 & sum(n5, % 186.14/26.45 n4) = n9 & sum(n5, n3) = n8 & sum(n5, n2) = n7 & sum(n5, n1) = n6 & % 186.14/26.45 sum(n5, n0) = n5 & sum(n4, n25) = n3 & sum(n4, n24) = n2 & sum(n4, n23) = n1 % 186.14/26.45 & sum(n4, n22) = n0 & sum(n4, n21) = n25 & sum(n4, n20) = n24 & sum(n4, n19) % 186.14/26.45 = n23 & sum(n4, n18) = n22 & sum(n4, n17) = n21 & sum(n4, n16) = n20 & % 186.14/26.45 sum(n4, n15) = n19 & sum(n4, n14) = n18 & sum(n4, n13) = n17 & sum(n4, n12) % 186.14/26.45 = n16 & sum(n4, n11) = n15 & sum(n4, n10) = n14 & sum(n4, n9) = n13 & % 186.14/26.45 sum(n4, n8) = n12 & sum(n4, n7) = n11 & sum(n4, n6) = n10 & sum(n4, n5) = n9 % 186.14/26.45 & sum(n4, n4) = n8 & sum(n4, n3) = n7 & sum(n4, n2) = n6 & sum(n4, n1) = n5 % 186.14/26.45 & sum(n4, n0) = n4 & sum(n3, n25) = n2 & sum(n3, n24) = n1 & sum(n3, n23) = % 186.14/26.45 n0 & sum(n3, n22) = n25 & sum(n3, n21) = n24 & sum(n3, n20) = n23 & sum(n3, % 186.14/26.45 n19) = n22 & sum(n3, n18) = n21 & sum(n3, n17) = n20 & sum(n3, n16) = n19 % 186.14/26.45 & sum(n3, n15) = n18 & sum(n3, n14) = n17 & sum(n3, n13) = n16 & sum(n3, % 186.14/26.45 n12) = n15 & sum(n3, n11) = n14 & sum(n3, n10) = n13 & sum(n3, n9) = n12 & % 186.14/26.45 sum(n3, n8) = n11 & sum(n3, n7) = n10 & sum(n3, n6) = n9 & sum(n3, n5) = n8 % 186.14/26.45 & sum(n3, n4) = n7 & sum(n3, n3) = n6 & sum(n3, n2) = n5 & sum(n3, n1) = n4 % 186.14/26.45 & sum(n3, n0) = n3 & sum(n2, n25) = n1 & sum(n2, n24) = n0 & sum(n2, n23) = % 186.14/26.45 n25 & sum(n2, n22) = n24 & sum(n2, n21) = n23 & sum(n2, n20) = n22 & sum(n2, % 186.14/26.45 n19) = n21 & sum(n2, n18) = n20 & sum(n2, n17) = n19 & sum(n2, n16) = n18 % 186.14/26.45 & sum(n2, n15) = n17 & sum(n2, n14) = n16 & sum(n2, n13) = n15 & sum(n2, % 186.14/26.45 n12) = n14 & sum(n2, n11) = n13 & sum(n2, n10) = n12 & sum(n2, n9) = n11 & % 186.14/26.45 sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2, n6) = n8 & sum(n2, n5) = n7 & % 186.14/26.45 sum(n2, n4) = n6 & sum(n2, n3) = n5 & sum(n2, n2) = n4 & sum(n2, n1) = n3 & % 186.14/26.45 sum(n2, n0) = n2 & sum(n1, n25) = n0 & sum(n1, n24) = n25 & sum(n1, n23) = % 186.14/26.45 n24 & sum(n1, n22) = n23 & sum(n1, n21) = n22 & sum(n1, n20) = n21 & sum(n1, % 186.14/26.45 n19) = n20 & sum(n1, n18) = n19 & sum(n1, n17) = n18 & sum(n1, n16) = n17 % 186.14/26.45 & sum(n1, n15) = n16 & sum(n1, n14) = n15 & sum(n1, n13) = n14 & sum(n1, % 186.14/26.45 n12) = n13 & sum(n1, n11) = n12 & sum(n1, n10) = n11 & sum(n1, n9) = n10 & % 186.14/26.45 sum(n1, n8) = n9 & sum(n1, n7) = n8 & sum(n1, n6) = n7 & sum(n1, n5) = n6 & % 186.14/26.45 sum(n1, n4) = n5 & sum(n1, n3) = n4 & sum(n1, n2) = n3 & sum(n1, n1) = n2 & % 186.14/26.45 sum(n1, n0) = n1 & sum(n0, n25) = n25 & sum(n0, n24) = n24 & sum(n0, n23) = % 186.14/26.45 n23 & sum(n0, n22) = n22 & sum(n0, n21) = n21 & sum(n0, n20) = n20 & sum(n0, % 186.14/26.45 n19) = n19 & sum(n0, n18) = n18 & sum(n0, n17) = n17 & sum(n0, n16) = n16 % 186.14/26.45 & sum(n0, n15) = n15 & sum(n0, n14) = n14 & sum(n0, n13) = n13 & sum(n0, % 186.14/26.45 n12) = n12 & sum(n0, n11) = n11 & sum(n0, n10) = n10 & sum(n0, n9) = n9 & % 186.14/26.45 sum(n0, n8) = n8 & sum(n0, n7) = n7 & sum(n0, n6) = n6 & sum(n0, n5) = n5 & % 186.14/26.45 sum(n0, n4) = n4 & sum(n0, n3) = n3 & sum(n0, n2) = n2 & sum(n0, n1) = n1 & % 186.14/26.45 sum(n0, n0) = n0 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 186.14/26.45 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v1 = n25 | v1 = n24 | % 186.14/26.45 v1 = n23 | v1 = n22 | v1 = n21 | v1 = n20 | v1 = n19 | v1 = n18 | v1 = n17 % 186.14/26.45 | v1 = n16 | v1 = n15 | v1 = n14 | v1 = n13 | v1 = n12 | v1 = n11 | v1 = % 186.14/26.45 n10 | v1 = n9 | v1 = n8 | v1 = n7 | v1 = n6 | v1 = n5 | v1 = n4 | v1 = n3 % 186.14/26.45 | v1 = n2 | v1 = n1 | v1 = n0) & (v0 = n25 | v0 = n24 | v0 = n23 | v0 = % 186.14/26.45 n22 | v0 = n21 | v0 = n20 | v0 = n19 | v0 = n18 | v0 = n17 | v0 = n16 | v0 % 186.14/26.45 = n15 | v0 = n14 | v0 = n13 | v0 = n12 | v0 = n11 | v0 = n10 | v0 = n9 | % 186.14/26.45 v0 = n8 | v0 = n7 | v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = % 186.14/26.45 n1 | v0 = n0)) % 186.14/26.45 % 186.14/26.45 (function-axioms) % 186.14/26.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sum(v3, % 186.14/26.45 v2) = v1) | ~ (sum(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 186.14/26.45 $i] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0: $i] : ! % 186.14/26.45 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) % 186.14/26.45 % 186.14/26.45 Those formulas are unsatisfiable: % 186.14/26.45 --------------------------------- % 186.14/26.45 % 186.14/26.45 Begin of proof % 186.14/26.46 | % 186.14/26.46 | ALPHA: (try_satisfy_this) implies: % 186.49/26.50 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 186.49/26.50 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 186.49/26.50 | [v10: $i] : ? [v11: $i] : ( ~ (v11 = v8) & ~ (n25 = n24) & ~ (n25 = % 186.49/26.50 | n23) & ~ (n25 = n22) & ~ (n25 = n21) & ~ (n25 = n20) & ~ (n25 = % 186.49/26.50 | n19) & ~ (n25 = n18) & ~ (n25 = n17) & ~ (n25 = n16) & ~ (n25 = % 186.49/26.50 | n15) & ~ (n25 = n14) & ~ (n25 = n13) & ~ (n25 = n12) & ~ (n25 = % 186.49/26.50 | n11) & ~ (n25 = n10) & ~ (n25 = n9) & ~ (n25 = n8) & ~ (n25 = % 186.49/26.50 | n7) & ~ (n25 = n6) & ~ (n25 = n5) & ~ (n25 = n4) & ~ (n25 = n3) % 186.49/26.50 | & ~ (n25 = n2) & ~ (n25 = n1) & ~ (n25 = n0) & ~ (n24 = n23) & ~ % 186.49/26.50 | (n24 = n22) & ~ (n24 = n21) & ~ (n24 = n20) & ~ (n24 = n19) & ~ % 186.49/26.50 | (n24 = n18) & ~ (n24 = n17) & ~ (n24 = n16) & ~ (n24 = n15) & ~ % 186.49/26.50 | (n24 = n14) & ~ (n24 = n13) & ~ (n24 = n12) & ~ (n24 = n11) & ~ % 186.49/26.50 | (n24 = n10) & ~ (n24 = n9) & ~ (n24 = n8) & ~ (n24 = n7) & ~ (n24 % 186.49/26.50 | = n6) & ~ (n24 = n5) & ~ (n24 = n4) & ~ (n24 = n3) & ~ (n24 = % 186.49/26.50 | n2) & ~ (n24 = n1) & ~ (n24 = n0) & ~ (n23 = n22) & ~ (n23 = % 186.49/26.50 | n21) & ~ (n23 = n20) & ~ (n23 = n19) & ~ (n23 = n18) & ~ (n23 = % 186.49/26.50 | n17) & ~ (n23 = n16) & ~ (n23 = n15) & ~ (n23 = n14) & ~ (n23 = % 186.49/26.50 | n13) & ~ (n23 = n12) & ~ (n23 = n11) & ~ (n23 = n10) & ~ (n23 = % 186.49/26.50 | n9) & ~ (n23 = n8) & ~ (n23 = n7) & ~ (n23 = n6) & ~ (n23 = n5) % 186.49/26.50 | & ~ (n23 = n4) & ~ (n23 = n3) & ~ (n23 = n2) & ~ (n23 = n1) & ~ % 186.49/26.50 | (n23 = n0) & ~ (n22 = n21) & ~ (n22 = n20) & ~ (n22 = n19) & ~ % 186.49/26.50 | (n22 = n18) & ~ (n22 = n17) & ~ (n22 = n16) & ~ (n22 = n15) & ~ % 186.49/26.50 | (n22 = n14) & ~ (n22 = n13) & ~ (n22 = n12) & ~ (n22 = n11) & ~ % 186.49/26.50 | (n22 = n10) & ~ (n22 = n9) & ~ (n22 = n8) & ~ (n22 = n7) & ~ (n22 % 186.49/26.50 | = n6) & ~ (n22 = n5) & ~ (n22 = n4) & ~ (n22 = n3) & ~ (n22 = % 186.49/26.50 | n2) & ~ (n22 = n1) & ~ (n22 = n0) & ~ (n21 = n20) & ~ (n21 = % 186.49/26.50 | n19) & ~ (n21 = n18) & ~ (n21 = n17) & ~ (n21 = n16) & ~ (n21 = % 186.49/26.50 | n15) & ~ (n21 = n14) & ~ (n21 = n13) & ~ (n21 = n12) & ~ (n21 = % 186.49/26.51 | n11) & ~ (n21 = n10) & ~ (n21 = n9) & ~ (n21 = n8) & ~ (n21 = % 186.49/26.51 | n7) & ~ (n21 = n6) & ~ (n21 = n5) & ~ (n21 = n4) & ~ (n21 = n3) % 186.49/26.51 | & ~ (n21 = n2) & ~ (n21 = n1) & ~ (n21 = n0) & ~ (n20 = n19) & ~ % 186.49/26.51 | (n20 = n18) & ~ (n20 = n17) & ~ (n20 = n16) & ~ (n20 = n15) & ~ % 186.49/26.51 | (n20 = n14) & ~ (n20 = n13) & ~ (n20 = n12) & ~ (n20 = n11) & ~ % 186.49/26.51 | (n20 = n10) & ~ (n20 = n9) & ~ (n20 = n8) & ~ (n20 = n7) & ~ (n20 % 186.49/26.51 | = n6) & ~ (n20 = n5) & ~ (n20 = n4) & ~ (n20 = n3) & ~ (n20 = % 186.49/26.51 | n2) & ~ (n20 = n1) & ~ (n20 = n0) & ~ (n19 = n18) & ~ (n19 = % 186.49/26.51 | n17) & ~ (n19 = n16) & ~ (n19 = n15) & ~ (n19 = n14) & ~ (n19 = % 186.49/26.51 | n13) & ~ (n19 = n12) & ~ (n19 = n11) & ~ (n19 = n10) & ~ (n19 = % 186.49/26.51 | n9) & ~ (n19 = n8) & ~ (n19 = n7) & ~ (n19 = n6) & ~ (n19 = n5) % 186.49/26.51 | & ~ (n19 = n4) & ~ (n19 = n3) & ~ (n19 = n2) & ~ (n19 = n1) & ~ % 186.49/26.51 | (n19 = n0) & ~ (n18 = n17) & ~ (n18 = n16) & ~ (n18 = n15) & ~ % 186.49/26.51 | (n18 = n14) & ~ (n18 = n13) & ~ (n18 = n12) & ~ (n18 = n11) & ~ % 186.49/26.51 | (n18 = n10) & ~ (n18 = n9) & ~ (n18 = n8) & ~ (n18 = n7) & ~ (n18 % 186.49/26.51 | = n6) & ~ (n18 = n5) & ~ (n18 = n4) & ~ (n18 = n3) & ~ (n18 = % 186.49/26.51 | n2) & ~ (n18 = n1) & ~ (n18 = n0) & ~ (n17 = n16) & ~ (n17 = % 186.49/26.51 | n15) & ~ (n17 = n14) & ~ (n17 = n13) & ~ (n17 = n12) & ~ (n17 = % 186.49/26.51 | n11) & ~ (n17 = n10) & ~ (n17 = n9) & ~ (n17 = n8) & ~ (n17 = % 186.49/26.51 | n7) & ~ (n17 = n6) & ~ (n17 = n5) & ~ (n17 = n4) & ~ (n17 = n3) % 186.49/26.51 | & ~ (n17 = n2) & ~ (n17 = n1) & ~ (n17 = n0) & ~ (n16 = n15) & ~ % 186.49/26.51 | (n16 = n14) & ~ (n16 = n13) & ~ (n16 = n12) & ~ (n16 = n11) & ~ % 186.49/26.51 | (n16 = n10) & ~ (n16 = n9) & ~ (n16 = n8) & ~ (n16 = n7) & ~ (n16 % 186.49/26.51 | = n6) & ~ (n16 = n5) & ~ (n16 = n4) & ~ (n16 = n3) & ~ (n16 = % 186.49/26.51 | n2) & ~ (n16 = n1) & ~ (n16 = n0) & ~ (n15 = n14) & ~ (n15 = % 186.49/26.51 | n13) & ~ (n15 = n12) & ~ (n15 = n11) & ~ (n15 = n10) & ~ (n15 = % 186.49/26.51 | n9) & ~ (n15 = n8) & ~ (n15 = n7) & ~ (n15 = n6) & ~ (n15 = n5) % 186.49/26.51 | & ~ (n15 = n4) & ~ (n15 = n3) & ~ (n15 = n2) & ~ (n15 = n1) & ~ % 186.49/26.51 | (n15 = n0) & ~ (n14 = n13) & ~ (n14 = n12) & ~ (n14 = n11) & ~ % 186.49/26.51 | (n14 = n10) & ~ (n14 = n9) & ~ (n14 = n8) & ~ (n14 = n7) & ~ (n14 % 186.49/26.51 | = n6) & ~ (n14 = n5) & ~ (n14 = n4) & ~ (n14 = n3) & ~ (n14 = % 186.49/26.51 | n2) & ~ (n14 = n1) & ~ (n14 = n0) & ~ (n13 = n12) & ~ (n13 = % 186.49/26.51 | n11) & ~ (n13 = n10) & ~ (n13 = n9) & ~ (n13 = n8) & ~ (n13 = % 186.49/26.51 | n7) & ~ (n13 = n6) & ~ (n13 = n5) & ~ (n13 = n4) & ~ (n13 = n3) % 186.49/26.51 | & ~ (n13 = n2) & ~ (n13 = n1) & ~ (n13 = n0) & ~ (n12 = n11) & ~ % 186.49/26.51 | (n12 = n10) & ~ (n12 = n9) & ~ (n12 = n8) & ~ (n12 = n7) & ~ (n12 % 186.49/26.51 | = n6) & ~ (n12 = n5) & ~ (n12 = n4) & ~ (n12 = n3) & ~ (n12 = % 186.49/26.51 | n2) & ~ (n12 = n1) & ~ (n12 = n0) & ~ (n11 = n10) & ~ (n11 = % 186.49/26.51 | n9) & ~ (n11 = n8) & ~ (n11 = n7) & ~ (n11 = n6) & ~ (n11 = n5) % 186.49/26.51 | & ~ (n11 = n4) & ~ (n11 = n3) & ~ (n11 = n2) & ~ (n11 = n1) & ~ % 186.49/26.51 | (n11 = n0) & ~ (n10 = n9) & ~ (n10 = n8) & ~ (n10 = n7) & ~ (n10 % 186.49/26.51 | = n6) & ~ (n10 = n5) & ~ (n10 = n4) & ~ (n10 = n3) & ~ (n10 = % 186.49/26.51 | n2) & ~ (n10 = n1) & ~ (n10 = n0) & ~ (n9 = n8) & ~ (n9 = n7) & % 186.49/26.51 | ~ (n9 = n6) & ~ (n9 = n5) & ~ (n9 = n4) & ~ (n9 = n3) & ~ (n9 = % 186.49/26.51 | n2) & ~ (n9 = n1) & ~ (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6) & % 186.49/26.51 | ~ (n8 = n5) & ~ (n8 = n4) & ~ (n8 = n3) & ~ (n8 = n2) & ~ (n8 = % 186.49/26.51 | n1) & ~ (n8 = n0) & ~ (n7 = n6) & ~ (n7 = n5) & ~ (n7 = n4) & % 186.49/26.51 | ~ (n7 = n3) & ~ (n7 = n2) & ~ (n7 = n1) & ~ (n7 = n0) & ~ (n6 = % 186.49/26.51 | n5) & ~ (n6 = n4) & ~ (n6 = n3) & ~ (n6 = n2) & ~ (n6 = n1) & % 186.49/26.51 | ~ (n6 = n0) & ~ (n5 = n4) & ~ (n5 = n3) & ~ (n5 = n2) & ~ (n5 = % 186.49/26.51 | n1) & ~ (n5 = n0) & ~ (n4 = n3) & ~ (n4 = n2) & ~ (n4 = n1) & % 186.49/26.51 | ~ (n4 = n0) & ~ (n3 = n2) & ~ (n3 = n1) & ~ (n3 = n0) & ~ (n2 = % 186.49/26.51 | n1) & ~ (n2 = n0) & ~ (n1 = n0) & pred(v1) = v5 & pred(v0) = v2 & % 186.49/26.51 | pred(n25) = n24 & pred(n24) = n23 & pred(n23) = n22 & pred(n22) = n21 % 186.49/26.51 | & pred(n21) = n20 & pred(n20) = n19 & pred(n19) = n18 & pred(n18) = % 186.49/26.51 | n17 & pred(n17) = n16 & pred(n16) = n15 & pred(n15) = n14 & pred(n14) % 186.49/26.51 | = n13 & pred(n13) = n12 & pred(n12) = n11 & pred(n11) = n10 & % 186.49/26.51 | pred(n10) = n9 & pred(n9) = n8 & pred(n8) = n7 & pred(n7) = n6 & % 186.49/26.51 | pred(n6) = n5 & pred(n5) = n4 & pred(n4) = n3 & pred(n3) = n2 & % 186.49/26.51 | pred(n2) = n1 & pred(n1) = n0 & pred(n0) = n25 & succ(v1) = v3 & % 186.49/26.51 | succ(v0) = v6 & succ(n25) = n0 & succ(n24) = n25 & succ(n23) = n24 & % 186.49/26.51 | succ(n22) = n23 & succ(n21) = n22 & succ(n20) = n21 & succ(n19) = n20 % 186.49/26.51 | & succ(n18) = n19 & succ(n17) = n18 & succ(n16) = n17 & succ(n15) = % 186.49/26.51 | n16 & succ(n14) = n15 & succ(n13) = n14 & succ(n12) = n13 & succ(n11) % 186.49/26.51 | = n12 & succ(n10) = n11 & succ(n9) = n10 & succ(n8) = n9 & succ(n7) = % 186.49/26.51 | n8 & succ(n6) = n7 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & % 186.49/26.51 | succ(n2) = n3 & succ(n1) = n2 & succ(n0) = n1 & sum(v9, v10) = v11 & % 186.49/26.51 | sum(v5, v6) = v7 & sum(v5, v3) = v10 & sum(v4, v7) = v8 & sum(v2, v6) % 186.49/26.51 | = v9 & sum(v2, v3) = v4 & sum(n25, n25) = n24 & sum(n25, n24) = n23 & % 186.49/26.51 | sum(n25, n23) = n22 & sum(n25, n22) = n21 & sum(n25, n21) = n20 & % 186.49/26.51 | sum(n25, n20) = n19 & sum(n25, n19) = n18 & sum(n25, n18) = n17 & % 186.49/26.51 | sum(n25, n17) = n16 & sum(n25, n16) = n15 & sum(n25, n15) = n14 & % 186.49/26.51 | sum(n25, n14) = n13 & sum(n25, n13) = n12 & sum(n25, n12) = n11 & % 186.49/26.51 | sum(n25, n11) = n10 & sum(n25, n10) = n9 & sum(n25, n9) = n8 & % 186.49/26.51 | sum(n25, n8) = n7 & sum(n25, n7) = n6 & sum(n25, n6) = n5 & sum(n25, % 186.49/26.51 | n5) = n4 & sum(n25, n4) = n3 & sum(n25, n3) = n2 & sum(n25, n2) = % 186.49/26.51 | n1 & sum(n25, n1) = n0 & sum(n25, n0) = n25 & sum(n24, n25) = n23 & % 186.49/26.51 | sum(n24, n24) = n22 & sum(n24, n23) = n21 & sum(n24, n22) = n20 & % 186.49/26.51 | sum(n24, n21) = n19 & sum(n24, n20) = n18 & sum(n24, n19) = n17 & % 186.49/26.51 | sum(n24, n18) = n16 & sum(n24, n17) = n15 & sum(n24, n16) = n14 & % 186.49/26.51 | sum(n24, n15) = n13 & sum(n24, n14) = n12 & sum(n24, n13) = n11 & % 186.49/26.51 | sum(n24, n12) = n10 & sum(n24, n11) = n9 & sum(n24, n10) = n8 & % 186.49/26.51 | sum(n24, n9) = n7 & sum(n24, n8) = n6 & sum(n24, n7) = n5 & sum(n24, % 186.49/26.51 | n6) = n4 & sum(n24, n5) = n3 & sum(n24, n4) = n2 & sum(n24, n3) = % 186.49/26.51 | n1 & sum(n24, n2) = n0 & sum(n24, n1) = n25 & sum(n24, n0) = n24 & % 186.49/26.51 | sum(n23, n25) = n22 & sum(n23, n24) = n21 & sum(n23, n23) = n20 & % 186.49/26.51 | sum(n23, n22) = n19 & sum(n23, n21) = n18 & sum(n23, n20) = n17 & % 186.49/26.51 | sum(n23, n19) = n16 & sum(n23, n18) = n15 & sum(n23, n17) = n14 & % 186.49/26.51 | sum(n23, n16) = n13 & sum(n23, n15) = n12 & sum(n23, n14) = n11 & % 186.49/26.51 | sum(n23, n13) = n10 & sum(n23, n12) = n9 & sum(n23, n11) = n8 & % 186.49/26.51 | sum(n23, n10) = n7 & sum(n23, n9) = n6 & sum(n23, n8) = n5 & sum(n23, % 186.49/26.51 | n7) = n4 & sum(n23, n6) = n3 & sum(n23, n5) = n2 & sum(n23, n4) = % 186.49/26.51 | n1 & sum(n23, n3) = n0 & sum(n23, n2) = n25 & sum(n23, n1) = n24 & % 186.49/26.51 | sum(n23, n0) = n23 & sum(n22, n25) = n21 & sum(n22, n24) = n20 & % 186.49/26.51 | sum(n22, n23) = n19 & sum(n22, n22) = n18 & sum(n22, n21) = n17 & % 186.49/26.51 | sum(n22, n20) = n16 & sum(n22, n19) = n15 & sum(n22, n18) = n14 & % 186.49/26.51 | sum(n22, n17) = n13 & sum(n22, n16) = n12 & sum(n22, n15) = n11 & % 186.49/26.51 | sum(n22, n14) = n10 & sum(n22, n13) = n9 & sum(n22, n12) = n8 & % 186.49/26.51 | sum(n22, n11) = n7 & sum(n22, n10) = n6 & sum(n22, n9) = n5 & % 186.49/26.51 | sum(n22, n8) = n4 & sum(n22, n7) = n3 & sum(n22, n6) = n2 & sum(n22, % 186.49/26.51 | n5) = n1 & sum(n22, n4) = n0 & sum(n22, n3) = n25 & sum(n22, n2) = % 186.49/26.51 | n24 & sum(n22, n1) = n23 & sum(n22, n0) = n22 & sum(n21, n25) = n20 & % 186.49/26.51 | sum(n21, n24) = n19 & sum(n21, n23) = n18 & sum(n21, n22) = n17 & % 186.49/26.51 | sum(n21, n21) = n16 & sum(n21, n20) = n15 & sum(n21, n19) = n14 & % 186.49/26.51 | sum(n21, n18) = n13 & sum(n21, n17) = n12 & sum(n21, n16) = n11 & % 186.49/26.51 | sum(n21, n15) = n10 & sum(n21, n14) = n9 & sum(n21, n13) = n8 & % 186.49/26.51 | sum(n21, n12) = n7 & sum(n21, n11) = n6 & sum(n21, n10) = n5 & % 186.49/26.51 | sum(n21, n9) = n4 & sum(n21, n8) = n3 & sum(n21, n7) = n2 & sum(n21, % 186.49/26.51 | n6) = n1 & sum(n21, n5) = n0 & sum(n21, n4) = n25 & sum(n21, n3) = % 186.49/26.51 | n24 & sum(n21, n2) = n23 & sum(n21, n1) = n22 & sum(n21, n0) = n21 & % 186.49/26.51 | sum(n20, n25) = n19 & sum(n20, n24) = n18 & sum(n20, n23) = n17 & % 186.49/26.51 | sum(n20, n22) = n16 & sum(n20, n21) = n15 & sum(n20, n20) = n14 & % 186.49/26.51 | sum(n20, n19) = n13 & sum(n20, n18) = n12 & sum(n20, n17) = n11 & % 186.49/26.51 | sum(n20, n16) = n10 & sum(n20, n15) = n9 & sum(n20, n14) = n8 & % 186.49/26.51 | sum(n20, n13) = n7 & sum(n20, n12) = n6 & sum(n20, n11) = n5 & % 186.49/26.51 | sum(n20, n10) = n4 & sum(n20, n9) = n3 & sum(n20, n8) = n2 & sum(n20, % 186.49/26.51 | n7) = n1 & sum(n20, n6) = n0 & sum(n20, n5) = n25 & sum(n20, n4) = % 186.49/26.51 | n24 & sum(n20, n3) = n23 & sum(n20, n2) = n22 & sum(n20, n1) = n21 & % 186.49/26.51 | sum(n20, n0) = n20 & sum(n19, n25) = n18 & sum(n19, n24) = n17 & % 186.49/26.51 | sum(n19, n23) = n16 & sum(n19, n22) = n15 & sum(n19, n21) = n14 & % 186.49/26.51 | sum(n19, n20) = n13 & sum(n19, n19) = n12 & sum(n19, n18) = n11 & % 186.49/26.51 | sum(n19, n17) = n10 & sum(n19, n16) = n9 & sum(n19, n15) = n8 & % 186.49/26.51 | sum(n19, n14) = n7 & sum(n19, n13) = n6 & sum(n19, n12) = n5 & % 186.49/26.51 | sum(n19, n11) = n4 & sum(n19, n10) = n3 & sum(n19, n9) = n2 & % 186.49/26.51 | sum(n19, n8) = n1 & sum(n19, n7) = n0 & sum(n19, n6) = n25 & sum(n19, % 186.49/26.51 | n5) = n24 & sum(n19, n4) = n23 & sum(n19, n3) = n22 & sum(n19, n2) % 186.49/26.51 | = n21 & sum(n19, n1) = n20 & sum(n19, n0) = n19 & sum(n18, n25) = n17 % 186.49/26.51 | & sum(n18, n24) = n16 & sum(n18, n23) = n15 & sum(n18, n22) = n14 & % 186.49/26.51 | sum(n18, n21) = n13 & sum(n18, n20) = n12 & sum(n18, n19) = n11 & % 186.49/26.51 | sum(n18, n18) = n10 & sum(n18, n17) = n9 & sum(n18, n16) = n8 & % 186.49/26.51 | sum(n18, n15) = n7 & sum(n18, n14) = n6 & sum(n18, n13) = n5 & % 186.49/26.51 | sum(n18, n12) = n4 & sum(n18, n11) = n3 & sum(n18, n10) = n2 & % 186.49/26.51 | sum(n18, n9) = n1 & sum(n18, n8) = n0 & sum(n18, n7) = n25 & sum(n18, % 186.49/26.51 | n6) = n24 & sum(n18, n5) = n23 & sum(n18, n4) = n22 & sum(n18, n3) % 186.49/26.51 | = n21 & sum(n18, n2) = n20 & sum(n18, n1) = n19 & sum(n18, n0) = n18 % 186.49/26.51 | & sum(n17, n25) = n16 & sum(n17, n24) = n15 & sum(n17, n23) = n14 & % 186.49/26.51 | sum(n17, n22) = n13 & sum(n17, n21) = n12 & sum(n17, n20) = n11 & % 186.49/26.51 | sum(n17, n19) = n10 & sum(n17, n18) = n9 & sum(n17, n17) = n8 & % 186.49/26.51 | sum(n17, n16) = n7 & sum(n17, n15) = n6 & sum(n17, n14) = n5 & % 186.49/26.51 | sum(n17, n13) = n4 & sum(n17, n12) = n3 & sum(n17, n11) = n2 & % 186.49/26.51 | sum(n17, n10) = n1 & sum(n17, n9) = n0 & sum(n17, n8) = n25 & % 186.49/26.51 | sum(n17, n7) = n24 & sum(n17, n6) = n23 & sum(n17, n5) = n22 & % 186.49/26.51 | sum(n17, n4) = n21 & sum(n17, n3) = n20 & sum(n17, n2) = n19 & % 186.49/26.51 | sum(n17, n1) = n18 & sum(n17, n0) = n17 & sum(n16, n25) = n15 & % 186.49/26.51 | sum(n16, n24) = n14 & sum(n16, n23) = n13 & sum(n16, n22) = n12 & % 186.49/26.51 | sum(n16, n21) = n11 & sum(n16, n20) = n10 & sum(n16, n19) = n9 & % 186.49/26.51 | sum(n16, n18) = n8 & sum(n16, n17) = n7 & sum(n16, n16) = n6 & % 186.49/26.51 | sum(n16, n15) = n5 & sum(n16, n14) = n4 & sum(n16, n13) = n3 & % 186.49/26.51 | sum(n16, n12) = n2 & sum(n16, n11) = n1 & sum(n16, n10) = n0 & % 186.49/26.51 | sum(n16, n9) = n25 & sum(n16, n8) = n24 & sum(n16, n7) = n23 & % 186.49/26.51 | sum(n16, n6) = n22 & sum(n16, n5) = n21 & sum(n16, n4) = n20 & % 186.49/26.51 | sum(n16, n3) = n19 & sum(n16, n2) = n18 & sum(n16, n1) = n17 & % 186.49/26.51 | sum(n16, n0) = n16 & sum(n15, n25) = n14 & sum(n15, n24) = n13 & % 186.49/26.51 | sum(n15, n23) = n12 & sum(n15, n22) = n11 & sum(n15, n21) = n10 & % 186.49/26.51 | sum(n15, n20) = n9 & sum(n15, n19) = n8 & sum(n15, n18) = n7 & % 186.49/26.51 | sum(n15, n17) = n6 & sum(n15, n16) = n5 & sum(n15, n15) = n4 & % 186.49/26.51 | sum(n15, n14) = n3 & sum(n15, n13) = n2 & sum(n15, n12) = n1 & % 186.49/26.51 | sum(n15, n11) = n0 & sum(n15, n10) = n25 & sum(n15, n9) = n24 & % 186.49/26.51 | sum(n15, n8) = n23 & sum(n15, n7) = n22 & sum(n15, n6) = n21 & % 186.49/26.51 | sum(n15, n5) = n20 & sum(n15, n4) = n19 & sum(n15, n3) = n18 & % 186.49/26.51 | sum(n15, n2) = n17 & sum(n15, n1) = n16 & sum(n15, n0) = n15 & % 186.49/26.51 | sum(n14, n25) = n13 & sum(n14, n24) = n12 & sum(n14, n23) = n11 & % 186.49/26.51 | sum(n14, n22) = n10 & sum(n14, n21) = n9 & sum(n14, n20) = n8 & % 186.49/26.51 | sum(n14, n19) = n7 & sum(n14, n18) = n6 & sum(n14, n17) = n5 & % 186.49/26.51 | sum(n14, n16) = n4 & sum(n14, n15) = n3 & sum(n14, n14) = n2 & % 186.49/26.51 | sum(n14, n13) = n1 & sum(n14, n12) = n0 & sum(n14, n11) = n25 & % 186.49/26.51 | sum(n14, n10) = n24 & sum(n14, n9) = n23 & sum(n14, n8) = n22 & % 186.49/26.51 | sum(n14, n7) = n21 & sum(n14, n6) = n20 & sum(n14, n5) = n19 & % 186.49/26.51 | sum(n14, n4) = n18 & sum(n14, n3) = n17 & sum(n14, n2) = n16 & % 186.49/26.51 | sum(n14, n1) = n15 & sum(n14, n0) = n14 & sum(n13, n25) = n12 & % 186.49/26.51 | sum(n13, n24) = n11 & sum(n13, n23) = n10 & sum(n13, n22) = n9 & % 186.49/26.51 | sum(n13, n21) = n8 & sum(n13, n20) = n7 & sum(n13, n19) = n6 & % 186.49/26.51 | sum(n13, n18) = n5 & sum(n13, n17) = n4 & sum(n13, n16) = n3 & % 186.49/26.51 | sum(n13, n15) = n2 & sum(n13, n14) = n1 & sum(n13, n13) = n0 & % 186.49/26.51 | sum(n13, n12) = n25 & sum(n13, n11) = n24 & sum(n13, n10) = n23 & % 186.49/26.51 | sum(n13, n9) = n22 & sum(n13, n8) = n21 & sum(n13, n7) = n20 & % 186.49/26.51 | sum(n13, n6) = n19 & sum(n13, n5) = n18 & sum(n13, n4) = n17 & % 186.49/26.51 | sum(n13, n3) = n16 & sum(n13, n2) = n15 & sum(n13, n1) = n14 & % 186.49/26.51 | sum(n13, n0) = n13 & sum(n12, n25) = n11 & sum(n12, n24) = n10 & % 186.49/26.51 | sum(n12, n23) = n9 & sum(n12, n22) = n8 & sum(n12, n21) = n7 & % 186.49/26.51 | sum(n12, n20) = n6 & sum(n12, n19) = n5 & sum(n12, n18) = n4 & % 186.49/26.51 | sum(n12, n17) = n3 & sum(n12, n16) = n2 & sum(n12, n15) = n1 & % 186.49/26.51 | sum(n12, n14) = n0 & sum(n12, n13) = n25 & sum(n12, n12) = n24 & % 186.49/26.51 | sum(n12, n11) = n23 & sum(n12, n10) = n22 & sum(n12, n9) = n21 & % 186.49/26.51 | sum(n12, n8) = n20 & sum(n12, n7) = n19 & sum(n12, n6) = n18 & % 186.49/26.51 | sum(n12, n5) = n17 & sum(n12, n4) = n16 & sum(n12, n3) = n15 & % 186.49/26.51 | sum(n12, n2) = n14 & sum(n12, n1) = n13 & sum(n12, n0) = n12 & % 186.49/26.51 | sum(n11, n25) = n10 & sum(n11, n24) = n9 & sum(n11, n23) = n8 & % 186.49/26.51 | sum(n11, n22) = n7 & sum(n11, n21) = n6 & sum(n11, n20) = n5 & % 186.49/26.51 | sum(n11, n19) = n4 & sum(n11, n18) = n3 & sum(n11, n17) = n2 & % 186.49/26.51 | sum(n11, n16) = n1 & sum(n11, n15) = n0 & sum(n11, n14) = n25 & % 186.49/26.51 | sum(n11, n13) = n24 & sum(n11, n12) = n23 & sum(n11, n11) = n22 & % 186.49/26.51 | sum(n11, n10) = n21 & sum(n11, n9) = n20 & sum(n11, n8) = n19 & % 186.49/26.51 | sum(n11, n7) = n18 & sum(n11, n6) = n17 & sum(n11, n5) = n16 & % 186.49/26.51 | sum(n11, n4) = n15 & sum(n11, n3) = n14 & sum(n11, n2) = n13 & % 186.49/26.51 | sum(n11, n1) = n12 & sum(n11, n0) = n11 & sum(n10, n25) = n9 & % 186.49/26.51 | sum(n10, n24) = n8 & sum(n10, n23) = n7 & sum(n10, n22) = n6 & % 186.49/26.51 | sum(n10, n21) = n5 & sum(n10, n20) = n4 & sum(n10, n19) = n3 & % 186.49/26.51 | sum(n10, n18) = n2 & sum(n10, n17) = n1 & sum(n10, n16) = n0 & % 186.49/26.51 | sum(n10, n15) = n25 & sum(n10, n14) = n24 & sum(n10, n13) = n23 & % 186.49/26.51 | sum(n10, n12) = n22 & sum(n10, n11) = n21 & sum(n10, n10) = n20 & % 186.49/26.51 | sum(n10, n9) = n19 & sum(n10, n8) = n18 & sum(n10, n7) = n17 & % 186.49/26.51 | sum(n10, n6) = n16 & sum(n10, n5) = n15 & sum(n10, n4) = n14 & % 186.49/26.51 | sum(n10, n3) = n13 & sum(n10, n2) = n12 & sum(n10, n1) = n11 & % 186.49/26.51 | sum(n10, n0) = n10 & sum(n9, n25) = n8 & sum(n9, n24) = n7 & sum(n9, % 186.49/26.51 | n23) = n6 & sum(n9, n22) = n5 & sum(n9, n21) = n4 & sum(n9, n20) = % 186.49/26.51 | n3 & sum(n9, n19) = n2 & sum(n9, n18) = n1 & sum(n9, n17) = n0 & % 186.49/26.51 | sum(n9, n16) = n25 & sum(n9, n15) = n24 & sum(n9, n14) = n23 & % 186.49/26.51 | sum(n9, n13) = n22 & sum(n9, n12) = n21 & sum(n9, n11) = n20 & % 186.49/26.51 | sum(n9, n10) = n19 & sum(n9, n9) = n18 & sum(n9, n8) = n17 & sum(n9, % 186.49/26.51 | n7) = n16 & sum(n9, n6) = n15 & sum(n9, n5) = n14 & sum(n9, n4) = % 186.49/26.51 | n13 & sum(n9, n3) = n12 & sum(n9, n2) = n11 & sum(n9, n1) = n10 & % 186.49/26.51 | sum(n9, n0) = n9 & sum(n8, n25) = n7 & sum(n8, n24) = n6 & sum(n8, % 186.49/26.51 | n23) = n5 & sum(n8, n22) = n4 & sum(n8, n21) = n3 & sum(n8, n20) = % 186.49/26.51 | n2 & sum(n8, n19) = n1 & sum(n8, n18) = n0 & sum(n8, n17) = n25 & % 186.49/26.51 | sum(n8, n16) = n24 & sum(n8, n15) = n23 & sum(n8, n14) = n22 & % 186.49/26.51 | sum(n8, n13) = n21 & sum(n8, n12) = n20 & sum(n8, n11) = n19 & % 186.49/26.51 | sum(n8, n10) = n18 & sum(n8, n9) = n17 & sum(n8, n8) = n16 & sum(n8, % 186.49/26.51 | n7) = n15 & sum(n8, n6) = n14 & sum(n8, n5) = n13 & sum(n8, n4) = % 186.49/26.51 | n12 & sum(n8, n3) = n11 & sum(n8, n2) = n10 & sum(n8, n1) = n9 & % 186.49/26.51 | sum(n8, n0) = n8 & sum(n7, n25) = n6 & sum(n7, n24) = n5 & sum(n7, % 186.49/26.51 | n23) = n4 & sum(n7, n22) = n3 & sum(n7, n21) = n2 & sum(n7, n20) = % 186.49/26.51 | n1 & sum(n7, n19) = n0 & sum(n7, n18) = n25 & sum(n7, n17) = n24 & % 186.49/26.51 | sum(n7, n16) = n23 & sum(n7, n15) = n22 & sum(n7, n14) = n21 & % 186.49/26.51 | sum(n7, n13) = n20 & sum(n7, n12) = n19 & sum(n7, n11) = n18 & % 186.49/26.51 | sum(n7, n10) = n17 & sum(n7, n9) = n16 & sum(n7, n8) = n15 & sum(n7, % 186.49/26.51 | n7) = n14 & sum(n7, n6) = n13 & sum(n7, n5) = n12 & sum(n7, n4) = % 186.49/26.51 | n11 & sum(n7, n3) = n10 & sum(n7, n2) = n9 & sum(n7, n1) = n8 & % 186.49/26.51 | sum(n7, n0) = n7 & sum(n6, n25) = n5 & sum(n6, n24) = n4 & sum(n6, % 186.49/26.51 | n23) = n3 & sum(n6, n22) = n2 & sum(n6, n21) = n1 & sum(n6, n20) = % 186.49/26.51 | n0 & sum(n6, n19) = n25 & sum(n6, n18) = n24 & sum(n6, n17) = n23 & % 186.49/26.51 | sum(n6, n16) = n22 & sum(n6, n15) = n21 & sum(n6, n14) = n20 & % 186.49/26.51 | sum(n6, n13) = n19 & sum(n6, n12) = n18 & sum(n6, n11) = n17 & % 186.49/26.51 | sum(n6, n10) = n16 & sum(n6, n9) = n15 & sum(n6, n8) = n14 & sum(n6, % 186.49/26.51 | n7) = n13 & sum(n6, n6) = n12 & sum(n6, n5) = n11 & sum(n6, n4) = % 186.49/26.51 | n10 & sum(n6, n3) = n9 & sum(n6, n2) = n8 & sum(n6, n1) = n7 & % 186.49/26.51 | sum(n6, n0) = n6 & sum(n5, n25) = n4 & sum(n5, n24) = n3 & sum(n5, % 186.49/26.51 | n23) = n2 & sum(n5, n22) = n1 & sum(n5, n21) = n0 & sum(n5, n20) = % 186.49/26.51 | n25 & sum(n5, n19) = n24 & sum(n5, n18) = n23 & sum(n5, n17) = n22 & % 186.49/26.51 | sum(n5, n16) = n21 & sum(n5, n15) = n20 & sum(n5, n14) = n19 & % 186.49/26.51 | sum(n5, n13) = n18 & sum(n5, n12) = n17 & sum(n5, n11) = n16 & % 186.49/26.51 | sum(n5, n10) = n15 & sum(n5, n9) = n14 & sum(n5, n8) = n13 & sum(n5, % 186.49/26.51 | n7) = n12 & sum(n5, n6) = n11 & sum(n5, n5) = n10 & sum(n5, n4) = % 186.49/26.51 | n9 & sum(n5, n3) = n8 & sum(n5, n2) = n7 & sum(n5, n1) = n6 & sum(n5, % 186.49/26.51 | n0) = n5 & sum(n4, n25) = n3 & sum(n4, n24) = n2 & sum(n4, n23) = % 186.49/26.51 | n1 & sum(n4, n22) = n0 & sum(n4, n21) = n25 & sum(n4, n20) = n24 & % 186.49/26.51 | sum(n4, n19) = n23 & sum(n4, n18) = n22 & sum(n4, n17) = n21 & % 186.49/26.51 | sum(n4, n16) = n20 & sum(n4, n15) = n19 & sum(n4, n14) = n18 & % 186.49/26.51 | sum(n4, n13) = n17 & sum(n4, n12) = n16 & sum(n4, n11) = n15 & % 186.49/26.51 | sum(n4, n10) = n14 & sum(n4, n9) = n13 & sum(n4, n8) = n12 & sum(n4, % 186.49/26.51 | n7) = n11 & sum(n4, n6) = n10 & sum(n4, n5) = n9 & sum(n4, n4) = n8 % 186.49/26.51 | & sum(n4, n3) = n7 & sum(n4, n2) = n6 & sum(n4, n1) = n5 & sum(n4, % 186.49/26.51 | n0) = n4 & sum(n3, n25) = n2 & sum(n3, n24) = n1 & sum(n3, n23) = % 186.49/26.51 | n0 & sum(n3, n22) = n25 & sum(n3, n21) = n24 & sum(n3, n20) = n23 & % 186.49/26.51 | sum(n3, n19) = n22 & sum(n3, n18) = n21 & sum(n3, n17) = n20 & % 186.49/26.51 | sum(n3, n16) = n19 & sum(n3, n15) = n18 & sum(n3, n14) = n17 & % 186.49/26.51 | sum(n3, n13) = n16 & sum(n3, n12) = n15 & sum(n3, n11) = n14 & % 186.49/26.51 | sum(n3, n10) = n13 & sum(n3, n9) = n12 & sum(n3, n8) = n11 & sum(n3, % 186.49/26.51 | n7) = n10 & sum(n3, n6) = n9 & sum(n3, n5) = n8 & sum(n3, n4) = n7 % 186.49/26.51 | & sum(n3, n3) = n6 & sum(n3, n2) = n5 & sum(n3, n1) = n4 & sum(n3, % 186.49/26.51 | n0) = n3 & sum(n2, n25) = n1 & sum(n2, n24) = n0 & sum(n2, n23) = % 186.49/26.51 | n25 & sum(n2, n22) = n24 & sum(n2, n21) = n23 & sum(n2, n20) = n22 & % 186.49/26.51 | sum(n2, n19) = n21 & sum(n2, n18) = n20 & sum(n2, n17) = n19 & % 186.49/26.51 | sum(n2, n16) = n18 & sum(n2, n15) = n17 & sum(n2, n14) = n16 & % 186.49/26.51 | sum(n2, n13) = n15 & sum(n2, n12) = n14 & sum(n2, n11) = n13 & % 186.49/26.51 | sum(n2, n10) = n12 & sum(n2, n9) = n11 & sum(n2, n8) = n10 & sum(n2, % 186.49/26.51 | n7) = n9 & sum(n2, n6) = n8 & sum(n2, n5) = n7 & sum(n2, n4) = n6 & % 186.49/26.51 | sum(n2, n3) = n5 & sum(n2, n2) = n4 & sum(n2, n1) = n3 & sum(n2, n0) % 186.49/26.51 | = n2 & sum(n1, n25) = n0 & sum(n1, n24) = n25 & sum(n1, n23) = n24 & % 186.49/26.51 | sum(n1, n22) = n23 & sum(n1, n21) = n22 & sum(n1, n20) = n21 & % 186.49/26.51 | sum(n1, n19) = n20 & sum(n1, n18) = n19 & sum(n1, n17) = n18 & % 186.49/26.51 | sum(n1, n16) = n17 & sum(n1, n15) = n16 & sum(n1, n14) = n15 & % 186.49/26.51 | sum(n1, n13) = n14 & sum(n1, n12) = n13 & sum(n1, n11) = n12 & % 186.49/26.51 | sum(n1, n10) = n11 & sum(n1, n9) = n10 & sum(n1, n8) = n9 & sum(n1, % 186.49/26.51 | n7) = n8 & sum(n1, n6) = n7 & sum(n1, n5) = n6 & sum(n1, n4) = n5 & % 186.49/26.51 | sum(n1, n3) = n4 & sum(n1, n2) = n3 & sum(n1, n1) = n2 & sum(n1, n0) % 186.49/26.51 | = n1 & sum(n0, n25) = n25 & sum(n0, n24) = n24 & sum(n0, n23) = n23 & % 186.49/26.51 | sum(n0, n22) = n22 & sum(n0, n21) = n21 & sum(n0, n20) = n20 & % 186.49/26.51 | sum(n0, n19) = n19 & sum(n0, n18) = n18 & sum(n0, n17) = n17 & % 186.49/26.51 | sum(n0, n16) = n16 & sum(n0, n15) = n15 & sum(n0, n14) = n14 & % 186.49/26.51 | sum(n0, n13) = n13 & sum(n0, n12) = n12 & sum(n0, n11) = n11 & % 186.49/26.51 | sum(n0, n10) = n10 & sum(n0, n9) = n9 & sum(n0, n8) = n8 & sum(n0, % 186.49/26.51 | n7) = n7 & sum(n0, n6) = n6 & sum(n0, n5) = n5 & sum(n0, n4) = n4 & % 186.49/26.51 | sum(n0, n3) = n3 & sum(n0, n2) = n2 & sum(n0, n1) = n1 & sum(n0, n0) % 186.49/26.51 | = n0 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) % 186.49/26.51 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v1 = n25 | v1 = n24 | % 186.49/26.51 | v1 = n23 | v1 = n22 | v1 = n21 | v1 = n20 | v1 = n19 | v1 = n18 | % 186.49/26.51 | v1 = n17 | v1 = n16 | v1 = n15 | v1 = n14 | v1 = n13 | v1 = n12 | % 186.49/26.51 | v1 = n11 | v1 = n10 | v1 = n9 | v1 = n8 | v1 = n7 | v1 = n6 | v1 = % 186.49/26.51 | n5 | v1 = n4 | v1 = n3 | v1 = n2 | v1 = n1 | v1 = n0) & (v0 = n25 | % 186.49/26.51 | v0 = n24 | v0 = n23 | v0 = n22 | v0 = n21 | v0 = n20 | v0 = n19 | % 186.49/26.51 | v0 = n18 | v0 = n17 | v0 = n16 | v0 = n15 | v0 = n14 | v0 = n13 | % 186.49/26.51 | v0 = n12 | v0 = n11 | v0 = n10 | v0 = n9 | v0 = n8 | v0 = n7 | v0 = % 186.49/26.51 | n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0)) % 186.49/26.51 | % 186.49/26.51 | ALPHA: (function-axioms) implies: % 186.49/26.51 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) % 186.49/26.51 | | ~ (succ(v2) = v0)) % 186.49/26.51 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1) % 186.49/26.51 | | ~ (pred(v2) = v0)) % 186.49/26.51 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 186.49/26.51 | (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 186.49/26.51 | % 186.49/26.51 | DELTA: instantiating (1) with fresh symbols all_4_0, all_4_1, all_4_2, % 186.49/26.51 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 186.49/26.51 | all_4_10, all_4_11 gives: % 186.49/26.54 | (5) ~ (all_4_0 = all_4_3) & ~ (n25 = n24) & ~ (n25 = n23) & ~ (n25 = % 186.49/26.54 | n22) & ~ (n25 = n21) & ~ (n25 = n20) & ~ (n25 = n19) & ~ (n25 = % 186.49/26.54 | n18) & ~ (n25 = n17) & ~ (n25 = n16) & ~ (n25 = n15) & ~ (n25 = % 186.49/26.54 | n14) & ~ (n25 = n13) & ~ (n25 = n12) & ~ (n25 = n11) & ~ (n25 = % 186.49/26.54 | n10) & ~ (n25 = n9) & ~ (n25 = n8) & ~ (n25 = n7) & ~ (n25 = n6) % 186.49/26.54 | & ~ (n25 = n5) & ~ (n25 = n4) & ~ (n25 = n3) & ~ (n25 = n2) & ~ % 186.49/26.54 | (n25 = n1) & ~ (n25 = n0) & ~ (n24 = n23) & ~ (n24 = n22) & ~ (n24 % 186.49/26.54 | = n21) & ~ (n24 = n20) & ~ (n24 = n19) & ~ (n24 = n18) & ~ (n24 = % 186.49/26.54 | n17) & ~ (n24 = n16) & ~ (n24 = n15) & ~ (n24 = n14) & ~ (n24 = % 186.49/26.54 | n13) & ~ (n24 = n12) & ~ (n24 = n11) & ~ (n24 = n10) & ~ (n24 = % 186.49/26.54 | n9) & ~ (n24 = n8) & ~ (n24 = n7) & ~ (n24 = n6) & ~ (n24 = n5) & % 186.49/26.54 | ~ (n24 = n4) & ~ (n24 = n3) & ~ (n24 = n2) & ~ (n24 = n1) & ~ (n24 % 186.49/26.54 | = n0) & ~ (n23 = n22) & ~ (n23 = n21) & ~ (n23 = n20) & ~ (n23 = % 186.49/26.54 | n19) & ~ (n23 = n18) & ~ (n23 = n17) & ~ (n23 = n16) & ~ (n23 = % 186.49/26.54 | n15) & ~ (n23 = n14) & ~ (n23 = n13) & ~ (n23 = n12) & ~ (n23 = % 186.49/26.54 | n11) & ~ (n23 = n10) & ~ (n23 = n9) & ~ (n23 = n8) & ~ (n23 = n7) % 186.49/26.54 | & ~ (n23 = n6) & ~ (n23 = n5) & ~ (n23 = n4) & ~ (n23 = n3) & ~ % 186.49/26.54 | (n23 = n2) & ~ (n23 = n1) & ~ (n23 = n0) & ~ (n22 = n21) & ~ (n22 = % 186.49/26.54 | n20) & ~ (n22 = n19) & ~ (n22 = n18) & ~ (n22 = n17) & ~ (n22 = % 186.49/26.54 | n16) & ~ (n22 = n15) & ~ (n22 = n14) & ~ (n22 = n13) & ~ (n22 = % 186.49/26.54 | n12) & ~ (n22 = n11) & ~ (n22 = n10) & ~ (n22 = n9) & ~ (n22 = % 186.49/26.54 | n8) & ~ (n22 = n7) & ~ (n22 = n6) & ~ (n22 = n5) & ~ (n22 = n4) & % 186.49/26.54 | ~ (n22 = n3) & ~ (n22 = n2) & ~ (n22 = n1) & ~ (n22 = n0) & ~ (n21 % 186.49/26.54 | = n20) & ~ (n21 = n19) & ~ (n21 = n18) & ~ (n21 = n17) & ~ (n21 = % 186.49/26.54 | n16) & ~ (n21 = n15) & ~ (n21 = n14) & ~ (n21 = n13) & ~ (n21 = % 186.49/26.54 | n12) & ~ (n21 = n11) & ~ (n21 = n10) & ~ (n21 = n9) & ~ (n21 = % 186.49/26.54 | n8) & ~ (n21 = n7) & ~ (n21 = n6) & ~ (n21 = n5) & ~ (n21 = n4) & % 186.49/26.54 | ~ (n21 = n3) & ~ (n21 = n2) & ~ (n21 = n1) & ~ (n21 = n0) & ~ (n20 % 186.49/26.54 | = n19) & ~ (n20 = n18) & ~ (n20 = n17) & ~ (n20 = n16) & ~ (n20 = % 186.49/26.54 | n15) & ~ (n20 = n14) & ~ (n20 = n13) & ~ (n20 = n12) & ~ (n20 = % 186.49/26.54 | n11) & ~ (n20 = n10) & ~ (n20 = n9) & ~ (n20 = n8) & ~ (n20 = n7) % 186.49/26.54 | & ~ (n20 = n6) & ~ (n20 = n5) & ~ (n20 = n4) & ~ (n20 = n3) & ~ % 186.49/26.54 | (n20 = n2) & ~ (n20 = n1) & ~ (n20 = n0) & ~ (n19 = n18) & ~ (n19 = % 186.49/26.54 | n17) & ~ (n19 = n16) & ~ (n19 = n15) & ~ (n19 = n14) & ~ (n19 = % 186.49/26.54 | n13) & ~ (n19 = n12) & ~ (n19 = n11) & ~ (n19 = n10) & ~ (n19 = % 186.49/26.54 | n9) & ~ (n19 = n8) & ~ (n19 = n7) & ~ (n19 = n6) & ~ (n19 = n5) & % 186.49/26.54 | ~ (n19 = n4) & ~ (n19 = n3) & ~ (n19 = n2) & ~ (n19 = n1) & ~ (n19 % 186.49/26.54 | = n0) & ~ (n18 = n17) & ~ (n18 = n16) & ~ (n18 = n15) & ~ (n18 = % 186.49/26.54 | n14) & ~ (n18 = n13) & ~ (n18 = n12) & ~ (n18 = n11) & ~ (n18 = % 186.49/26.54 | n10) & ~ (n18 = n9) & ~ (n18 = n8) & ~ (n18 = n7) & ~ (n18 = n6) % 186.49/26.54 | & ~ (n18 = n5) & ~ (n18 = n4) & ~ (n18 = n3) & ~ (n18 = n2) & ~ % 186.49/26.54 | (n18 = n1) & ~ (n18 = n0) & ~ (n17 = n16) & ~ (n17 = n15) & ~ (n17 % 186.49/26.54 | = n14) & ~ (n17 = n13) & ~ (n17 = n12) & ~ (n17 = n11) & ~ (n17 = % 186.49/26.54 | n10) & ~ (n17 = n9) & ~ (n17 = n8) & ~ (n17 = n7) & ~ (n17 = n6) % 186.49/26.54 | & ~ (n17 = n5) & ~ (n17 = n4) & ~ (n17 = n3) & ~ (n17 = n2) & ~ % 186.49/26.54 | (n17 = n1) & ~ (n17 = n0) & ~ (n16 = n15) & ~ (n16 = n14) & ~ (n16 % 186.49/26.54 | = n13) & ~ (n16 = n12) & ~ (n16 = n11) & ~ (n16 = n10) & ~ (n16 = % 186.49/26.54 | n9) & ~ (n16 = n8) & ~ (n16 = n7) & ~ (n16 = n6) & ~ (n16 = n5) & % 186.49/26.54 | ~ (n16 = n4) & ~ (n16 = n3) & ~ (n16 = n2) & ~ (n16 = n1) & ~ (n16 % 186.49/26.54 | = n0) & ~ (n15 = n14) & ~ (n15 = n13) & ~ (n15 = n12) & ~ (n15 = % 186.49/26.54 | n11) & ~ (n15 = n10) & ~ (n15 = n9) & ~ (n15 = n8) & ~ (n15 = n7) % 186.49/26.54 | & ~ (n15 = n6) & ~ (n15 = n5) & ~ (n15 = n4) & ~ (n15 = n3) & ~ % 186.49/26.54 | (n15 = n2) & ~ (n15 = n1) & ~ (n15 = n0) & ~ (n14 = n13) & ~ (n14 = % 186.49/26.54 | n12) & ~ (n14 = n11) & ~ (n14 = n10) & ~ (n14 = n9) & ~ (n14 = % 186.49/26.54 | n8) & ~ (n14 = n7) & ~ (n14 = n6) & ~ (n14 = n5) & ~ (n14 = n4) & % 186.49/26.54 | ~ (n14 = n3) & ~ (n14 = n2) & ~ (n14 = n1) & ~ (n14 = n0) & ~ (n13 % 186.49/26.54 | = n12) & ~ (n13 = n11) & ~ (n13 = n10) & ~ (n13 = n9) & ~ (n13 = % 186.49/26.54 | n8) & ~ (n13 = n7) & ~ (n13 = n6) & ~ (n13 = n5) & ~ (n13 = n4) & % 186.49/26.54 | ~ (n13 = n3) & ~ (n13 = n2) & ~ (n13 = n1) & ~ (n13 = n0) & ~ (n12 % 186.49/26.54 | = n11) & ~ (n12 = n10) & ~ (n12 = n9) & ~ (n12 = n8) & ~ (n12 = % 186.49/26.54 | n7) & ~ (n12 = n6) & ~ (n12 = n5) & ~ (n12 = n4) & ~ (n12 = n3) & % 186.49/26.54 | ~ (n12 = n2) & ~ (n12 = n1) & ~ (n12 = n0) & ~ (n11 = n10) & ~ % 186.49/26.54 | (n11 = n9) & ~ (n11 = n8) & ~ (n11 = n7) & ~ (n11 = n6) & ~ (n11 = % 186.49/26.54 | n5) & ~ (n11 = n4) & ~ (n11 = n3) & ~ (n11 = n2) & ~ (n11 = n1) & % 186.49/26.54 | ~ (n11 = n0) & ~ (n10 = n9) & ~ (n10 = n8) & ~ (n10 = n7) & ~ (n10 % 186.49/26.54 | = n6) & ~ (n10 = n5) & ~ (n10 = n4) & ~ (n10 = n3) & ~ (n10 = n2) % 186.49/26.54 | & ~ (n10 = n1) & ~ (n10 = n0) & ~ (n9 = n8) & ~ (n9 = n7) & ~ (n9 % 186.49/26.54 | = n6) & ~ (n9 = n5) & ~ (n9 = n4) & ~ (n9 = n3) & ~ (n9 = n2) & % 186.49/26.54 | ~ (n9 = n1) & ~ (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6) & ~ (n8 = n5) % 186.49/26.54 | & ~ (n8 = n4) & ~ (n8 = n3) & ~ (n8 = n2) & ~ (n8 = n1) & ~ (n8 = % 186.49/26.54 | n0) & ~ (n7 = n6) & ~ (n7 = n5) & ~ (n7 = n4) & ~ (n7 = n3) & ~ % 186.49/26.54 | (n7 = n2) & ~ (n7 = n1) & ~ (n7 = n0) & ~ (n6 = n5) & ~ (n6 = n4) & % 186.49/26.54 | ~ (n6 = n3) & ~ (n6 = n2) & ~ (n6 = n1) & ~ (n6 = n0) & ~ (n5 = % 186.49/26.54 | n4) & ~ (n5 = n3) & ~ (n5 = n2) & ~ (n5 = n1) & ~ (n5 = n0) & ~ % 186.49/26.54 | (n4 = n3) & ~ (n4 = n2) & ~ (n4 = n1) & ~ (n4 = n0) & ~ (n3 = n2) & % 186.49/26.54 | ~ (n3 = n1) & ~ (n3 = n0) & ~ (n2 = n1) & ~ (n2 = n0) & ~ (n1 = % 186.49/26.54 | n0) & pred(all_4_10) = all_4_6 & pred(all_4_11) = all_4_9 & pred(n25) % 186.49/26.54 | = n24 & pred(n24) = n23 & pred(n23) = n22 & pred(n22) = n21 & pred(n21) % 186.49/26.54 | = n20 & pred(n20) = n19 & pred(n19) = n18 & pred(n18) = n17 & pred(n17) % 186.49/26.54 | = n16 & pred(n16) = n15 & pred(n15) = n14 & pred(n14) = n13 & pred(n13) % 186.49/26.54 | = n12 & pred(n12) = n11 & pred(n11) = n10 & pred(n10) = n9 & pred(n9) = % 186.49/26.54 | n8 & pred(n8) = n7 & pred(n7) = n6 & pred(n6) = n5 & pred(n5) = n4 & % 186.49/26.54 | pred(n4) = n3 & pred(n3) = n2 & pred(n2) = n1 & pred(n1) = n0 & % 186.49/26.54 | pred(n0) = n25 & succ(all_4_10) = all_4_8 & succ(all_4_11) = all_4_5 & % 186.49/26.54 | succ(n25) = n0 & succ(n24) = n25 & succ(n23) = n24 & succ(n22) = n23 & % 186.49/26.54 | succ(n21) = n22 & succ(n20) = n21 & succ(n19) = n20 & succ(n18) = n19 & % 186.49/26.54 | succ(n17) = n18 & succ(n16) = n17 & succ(n15) = n16 & succ(n14) = n15 & % 186.49/26.54 | succ(n13) = n14 & succ(n12) = n13 & succ(n11) = n12 & succ(n10) = n11 & % 186.49/26.54 | succ(n9) = n10 & succ(n8) = n9 & succ(n7) = n8 & succ(n6) = n7 & % 186.49/26.54 | succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & % 186.49/26.54 | succ(n1) = n2 & succ(n0) = n1 & sum(all_4_2, all_4_1) = all_4_0 & % 186.49/26.54 | sum(all_4_6, all_4_5) = all_4_4 & sum(all_4_6, all_4_8) = all_4_1 & % 186.49/26.54 | sum(all_4_7, all_4_4) = all_4_3 & sum(all_4_9, all_4_5) = all_4_2 & % 186.49/26.54 | sum(all_4_9, all_4_8) = all_4_7 & sum(n25, n25) = n24 & sum(n25, n24) = % 186.49/26.54 | n23 & sum(n25, n23) = n22 & sum(n25, n22) = n21 & sum(n25, n21) = n20 & % 186.49/26.54 | sum(n25, n20) = n19 & sum(n25, n19) = n18 & sum(n25, n18) = n17 & % 186.49/26.54 | sum(n25, n17) = n16 & sum(n25, n16) = n15 & sum(n25, n15) = n14 & % 186.49/26.54 | sum(n25, n14) = n13 & sum(n25, n13) = n12 & sum(n25, n12) = n11 & % 186.49/26.54 | sum(n25, n11) = n10 & sum(n25, n10) = n9 & sum(n25, n9) = n8 & sum(n25, % 186.49/26.54 | n8) = n7 & sum(n25, n7) = n6 & sum(n25, n6) = n5 & sum(n25, n5) = n4 % 186.49/26.54 | & sum(n25, n4) = n3 & sum(n25, n3) = n2 & sum(n25, n2) = n1 & sum(n25, % 186.49/26.54 | n1) = n0 & sum(n25, n0) = n25 & sum(n24, n25) = n23 & sum(n24, n24) = % 186.49/26.54 | n22 & sum(n24, n23) = n21 & sum(n24, n22) = n20 & sum(n24, n21) = n19 & % 186.49/26.54 | sum(n24, n20) = n18 & sum(n24, n19) = n17 & sum(n24, n18) = n16 & % 186.49/26.54 | sum(n24, n17) = n15 & sum(n24, n16) = n14 & sum(n24, n15) = n13 & % 186.49/26.54 | sum(n24, n14) = n12 & sum(n24, n13) = n11 & sum(n24, n12) = n10 & % 186.49/26.54 | sum(n24, n11) = n9 & sum(n24, n10) = n8 & sum(n24, n9) = n7 & sum(n24, % 186.49/26.54 | n8) = n6 & sum(n24, n7) = n5 & sum(n24, n6) = n4 & sum(n24, n5) = n3 % 186.49/26.54 | & sum(n24, n4) = n2 & sum(n24, n3) = n1 & sum(n24, n2) = n0 & sum(n24, % 186.49/26.54 | n1) = n25 & sum(n24, n0) = n24 & sum(n23, n25) = n22 & sum(n23, n24) % 186.49/26.54 | = n21 & sum(n23, n23) = n20 & sum(n23, n22) = n19 & sum(n23, n21) = n18 % 186.49/26.55 | & sum(n23, n20) = n17 & sum(n23, n19) = n16 & sum(n23, n18) = n15 & % 186.49/26.55 | sum(n23, n17) = n14 & sum(n23, n16) = n13 & sum(n23, n15) = n12 & % 186.49/26.55 | sum(n23, n14) = n11 & sum(n23, n13) = n10 & sum(n23, n12) = n9 & % 186.49/26.55 | sum(n23, n11) = n8 & sum(n23, n10) = n7 & sum(n23, n9) = n6 & sum(n23, % 186.49/26.55 | n8) = n5 & sum(n23, n7) = n4 & sum(n23, n6) = n3 & sum(n23, n5) = n2 % 186.49/26.55 | & sum(n23, n4) = n1 & sum(n23, n3) = n0 & sum(n23, n2) = n25 & sum(n23, % 186.49/26.55 | n1) = n24 & sum(n23, n0) = n23 & sum(n22, n25) = n21 & sum(n22, n24) % 186.49/26.55 | = n20 & sum(n22, n23) = n19 & sum(n22, n22) = n18 & sum(n22, n21) = n17 % 186.49/26.55 | & sum(n22, n20) = n16 & sum(n22, n19) = n15 & sum(n22, n18) = n14 & % 186.49/26.55 | sum(n22, n17) = n13 & sum(n22, n16) = n12 & sum(n22, n15) = n11 & % 186.49/26.55 | sum(n22, n14) = n10 & sum(n22, n13) = n9 & sum(n22, n12) = n8 & % 186.49/26.55 | sum(n22, n11) = n7 & sum(n22, n10) = n6 & sum(n22, n9) = n5 & sum(n22, % 186.49/26.55 | n8) = n4 & sum(n22, n7) = n3 & sum(n22, n6) = n2 & sum(n22, n5) = n1 % 186.49/26.55 | & sum(n22, n4) = n0 & sum(n22, n3) = n25 & sum(n22, n2) = n24 & % 186.49/26.55 | sum(n22, n1) = n23 & sum(n22, n0) = n22 & sum(n21, n25) = n20 & % 186.49/26.55 | sum(n21, n24) = n19 & sum(n21, n23) = n18 & sum(n21, n22) = n17 & % 186.49/26.55 | sum(n21, n21) = n16 & sum(n21, n20) = n15 & sum(n21, n19) = n14 & % 186.49/26.55 | sum(n21, n18) = n13 & sum(n21, n17) = n12 & sum(n21, n16) = n11 & % 186.49/26.55 | sum(n21, n15) = n10 & sum(n21, n14) = n9 & sum(n21, n13) = n8 & % 186.49/26.55 | sum(n21, n12) = n7 & sum(n21, n11) = n6 & sum(n21, n10) = n5 & sum(n21, % 186.49/26.55 | n9) = n4 & sum(n21, n8) = n3 & sum(n21, n7) = n2 & sum(n21, n6) = n1 % 186.49/26.55 | & sum(n21, n5) = n0 & sum(n21, n4) = n25 & sum(n21, n3) = n24 & % 186.49/26.55 | sum(n21, n2) = n23 & sum(n21, n1) = n22 & sum(n21, n0) = n21 & sum(n20, % 186.49/26.55 | n25) = n19 & sum(n20, n24) = n18 & sum(n20, n23) = n17 & sum(n20, % 186.49/26.55 | n22) = n16 & sum(n20, n21) = n15 & sum(n20, n20) = n14 & sum(n20, % 186.49/26.55 | n19) = n13 & sum(n20, n18) = n12 & sum(n20, n17) = n11 & sum(n20, % 186.49/26.55 | n16) = n10 & sum(n20, n15) = n9 & sum(n20, n14) = n8 & sum(n20, n13) % 186.49/26.55 | = n7 & sum(n20, n12) = n6 & sum(n20, n11) = n5 & sum(n20, n10) = n4 & % 186.49/26.55 | sum(n20, n9) = n3 & sum(n20, n8) = n2 & sum(n20, n7) = n1 & sum(n20, % 186.49/26.55 | n6) = n0 & sum(n20, n5) = n25 & sum(n20, n4) = n24 & sum(n20, n3) = % 186.49/26.55 | n23 & sum(n20, n2) = n22 & sum(n20, n1) = n21 & sum(n20, n0) = n20 & % 186.49/26.55 | sum(n19, n25) = n18 & sum(n19, n24) = n17 & sum(n19, n23) = n16 & % 186.49/26.55 | sum(n19, n22) = n15 & sum(n19, n21) = n14 & sum(n19, n20) = n13 & % 186.49/26.55 | sum(n19, n19) = n12 & sum(n19, n18) = n11 & sum(n19, n17) = n10 & % 186.49/26.55 | sum(n19, n16) = n9 & sum(n19, n15) = n8 & sum(n19, n14) = n7 & sum(n19, % 186.49/26.55 | n13) = n6 & sum(n19, n12) = n5 & sum(n19, n11) = n4 & sum(n19, n10) = % 186.49/26.55 | n3 & sum(n19, n9) = n2 & sum(n19, n8) = n1 & sum(n19, n7) = n0 & % 186.49/26.55 | sum(n19, n6) = n25 & sum(n19, n5) = n24 & sum(n19, n4) = n23 & sum(n19, % 186.49/26.55 | n3) = n22 & sum(n19, n2) = n21 & sum(n19, n1) = n20 & sum(n19, n0) = % 186.49/26.55 | n19 & sum(n18, n25) = n17 & sum(n18, n24) = n16 & sum(n18, n23) = n15 & % 186.49/26.55 | sum(n18, n22) = n14 & sum(n18, n21) = n13 & sum(n18, n20) = n12 & % 186.49/26.55 | sum(n18, n19) = n11 & sum(n18, n18) = n10 & sum(n18, n17) = n9 & % 186.49/26.55 | sum(n18, n16) = n8 & sum(n18, n15) = n7 & sum(n18, n14) = n6 & sum(n18, % 186.49/26.55 | n13) = n5 & sum(n18, n12) = n4 & sum(n18, n11) = n3 & sum(n18, n10) = % 186.49/26.55 | n2 & sum(n18, n9) = n1 & sum(n18, n8) = n0 & sum(n18, n7) = n25 & % 186.49/26.55 | sum(n18, n6) = n24 & sum(n18, n5) = n23 & sum(n18, n4) = n22 & sum(n18, % 186.49/26.55 | n3) = n21 & sum(n18, n2) = n20 & sum(n18, n1) = n19 & sum(n18, n0) = % 186.49/26.55 | n18 & sum(n17, n25) = n16 & sum(n17, n24) = n15 & sum(n17, n23) = n14 & % 186.49/26.55 | sum(n17, n22) = n13 & sum(n17, n21) = n12 & sum(n17, n20) = n11 & % 186.49/26.55 | sum(n17, n19) = n10 & sum(n17, n18) = n9 & sum(n17, n17) = n8 & % 186.49/26.55 | sum(n17, n16) = n7 & sum(n17, n15) = n6 & sum(n17, n14) = n5 & sum(n17, % 186.49/26.55 | n13) = n4 & sum(n17, n12) = n3 & sum(n17, n11) = n2 & sum(n17, n10) = % 186.49/26.55 | n1 & sum(n17, n9) = n0 & sum(n17, n8) = n25 & sum(n17, n7) = n24 & % 186.49/26.55 | sum(n17, n6) = n23 & sum(n17, n5) = n22 & sum(n17, n4) = n21 & sum(n17, % 186.49/26.55 | n3) = n20 & sum(n17, n2) = n19 & sum(n17, n1) = n18 & sum(n17, n0) = % 186.49/26.55 | n17 & sum(n16, n25) = n15 & sum(n16, n24) = n14 & sum(n16, n23) = n13 & % 186.49/26.55 | sum(n16, n22) = n12 & sum(n16, n21) = n11 & sum(n16, n20) = n10 & % 186.49/26.55 | sum(n16, n19) = n9 & sum(n16, n18) = n8 & sum(n16, n17) = n7 & sum(n16, % 186.49/26.55 | n16) = n6 & sum(n16, n15) = n5 & sum(n16, n14) = n4 & sum(n16, n13) = % 186.49/26.55 | n3 & sum(n16, n12) = n2 & sum(n16, n11) = n1 & sum(n16, n10) = n0 & % 186.49/26.55 | sum(n16, n9) = n25 & sum(n16, n8) = n24 & sum(n16, n7) = n23 & sum(n16, % 186.49/26.55 | n6) = n22 & sum(n16, n5) = n21 & sum(n16, n4) = n20 & sum(n16, n3) = % 186.49/26.55 | n19 & sum(n16, n2) = n18 & sum(n16, n1) = n17 & sum(n16, n0) = n16 & % 186.49/26.55 | sum(n15, n25) = n14 & sum(n15, n24) = n13 & sum(n15, n23) = n12 & % 186.49/26.55 | sum(n15, n22) = n11 & sum(n15, n21) = n10 & sum(n15, n20) = n9 & % 186.49/26.55 | sum(n15, n19) = n8 & sum(n15, n18) = n7 & sum(n15, n17) = n6 & sum(n15, % 186.49/26.55 | n16) = n5 & sum(n15, n15) = n4 & sum(n15, n14) = n3 & sum(n15, n13) = % 186.49/26.55 | n2 & sum(n15, n12) = n1 & sum(n15, n11) = n0 & sum(n15, n10) = n25 & % 186.49/26.55 | sum(n15, n9) = n24 & sum(n15, n8) = n23 & sum(n15, n7) = n22 & sum(n15, % 186.49/26.55 | n6) = n21 & sum(n15, n5) = n20 & sum(n15, n4) = n19 & sum(n15, n3) = % 186.49/26.55 | n18 & sum(n15, n2) = n17 & sum(n15, n1) = n16 & sum(n15, n0) = n15 & % 186.49/26.55 | sum(n14, n25) = n13 & sum(n14, n24) = n12 & sum(n14, n23) = n11 & % 186.49/26.55 | sum(n14, n22) = n10 & sum(n14, n21) = n9 & sum(n14, n20) = n8 & % 186.49/26.55 | sum(n14, n19) = n7 & sum(n14, n18) = n6 & sum(n14, n17) = n5 & sum(n14, % 186.49/26.55 | n16) = n4 & sum(n14, n15) = n3 & sum(n14, n14) = n2 & sum(n14, n13) = % 186.49/26.55 | n1 & sum(n14, n12) = n0 & sum(n14, n11) = n25 & sum(n14, n10) = n24 & % 186.49/26.55 | sum(n14, n9) = n23 & sum(n14, n8) = n22 & sum(n14, n7) = n21 & sum(n14, % 186.49/26.55 | n6) = n20 & sum(n14, n5) = n19 & sum(n14, n4) = n18 & sum(n14, n3) = % 186.49/26.55 | n17 & sum(n14, n2) = n16 & sum(n14, n1) = n15 & sum(n14, n0) = n14 & % 186.49/26.55 | sum(n13, n25) = n12 & sum(n13, n24) = n11 & sum(n13, n23) = n10 & % 186.49/26.55 | sum(n13, n22) = n9 & sum(n13, n21) = n8 & sum(n13, n20) = n7 & sum(n13, % 186.49/26.55 | n19) = n6 & sum(n13, n18) = n5 & sum(n13, n17) = n4 & sum(n13, n16) = % 186.49/26.55 | n3 & sum(n13, n15) = n2 & sum(n13, n14) = n1 & sum(n13, n13) = n0 & % 186.49/26.55 | sum(n13, n12) = n25 & sum(n13, n11) = n24 & sum(n13, n10) = n23 & % 186.49/26.55 | sum(n13, n9) = n22 & sum(n13, n8) = n21 & sum(n13, n7) = n20 & sum(n13, % 186.49/26.55 | n6) = n19 & sum(n13, n5) = n18 & sum(n13, n4) = n17 & sum(n13, n3) = % 186.49/26.55 | n16 & sum(n13, n2) = n15 & sum(n13, n1) = n14 & sum(n13, n0) = n13 & % 186.49/26.55 | sum(n12, n25) = n11 & sum(n12, n24) = n10 & sum(n12, n23) = n9 & % 186.49/26.55 | sum(n12, n22) = n8 & sum(n12, n21) = n7 & sum(n12, n20) = n6 & sum(n12, % 186.49/26.55 | n19) = n5 & sum(n12, n18) = n4 & sum(n12, n17) = n3 & sum(n12, n16) = % 186.49/26.55 | n2 & sum(n12, n15) = n1 & sum(n12, n14) = n0 & sum(n12, n13) = n25 & % 186.49/26.55 | sum(n12, n12) = n24 & sum(n12, n11) = n23 & sum(n12, n10) = n22 & % 186.49/26.55 | sum(n12, n9) = n21 & sum(n12, n8) = n20 & sum(n12, n7) = n19 & sum(n12, % 186.49/26.55 | n6) = n18 & sum(n12, n5) = n17 & sum(n12, n4) = n16 & sum(n12, n3) = % 186.49/26.55 | n15 & sum(n12, n2) = n14 & sum(n12, n1) = n13 & sum(n12, n0) = n12 & % 186.49/26.55 | sum(n11, n25) = n10 & sum(n11, n24) = n9 & sum(n11, n23) = n8 & % 186.49/26.55 | sum(n11, n22) = n7 & sum(n11, n21) = n6 & sum(n11, n20) = n5 & sum(n11, % 186.49/26.55 | n19) = n4 & sum(n11, n18) = n3 & sum(n11, n17) = n2 & sum(n11, n16) = % 186.49/26.55 | n1 & sum(n11, n15) = n0 & sum(n11, n14) = n25 & sum(n11, n13) = n24 & % 186.49/26.55 | sum(n11, n12) = n23 & sum(n11, n11) = n22 & sum(n11, n10) = n21 & % 186.49/26.55 | sum(n11, n9) = n20 & sum(n11, n8) = n19 & sum(n11, n7) = n18 & sum(n11, % 186.49/26.55 | n6) = n17 & sum(n11, n5) = n16 & sum(n11, n4) = n15 & sum(n11, n3) = % 186.49/26.55 | n14 & sum(n11, n2) = n13 & sum(n11, n1) = n12 & sum(n11, n0) = n11 & % 186.49/26.55 | sum(n10, n25) = n9 & sum(n10, n24) = n8 & sum(n10, n23) = n7 & sum(n10, % 186.49/26.55 | n22) = n6 & sum(n10, n21) = n5 & sum(n10, n20) = n4 & sum(n10, n19) = % 186.49/26.55 | n3 & sum(n10, n18) = n2 & sum(n10, n17) = n1 & sum(n10, n16) = n0 & % 186.49/26.55 | sum(n10, n15) = n25 & sum(n10, n14) = n24 & sum(n10, n13) = n23 & % 186.49/26.55 | sum(n10, n12) = n22 & sum(n10, n11) = n21 & sum(n10, n10) = n20 & % 186.49/26.55 | sum(n10, n9) = n19 & sum(n10, n8) = n18 & sum(n10, n7) = n17 & sum(n10, % 186.49/26.55 | n6) = n16 & sum(n10, n5) = n15 & sum(n10, n4) = n14 & sum(n10, n3) = % 186.49/26.55 | n13 & sum(n10, n2) = n12 & sum(n10, n1) = n11 & sum(n10, n0) = n10 & % 186.49/26.55 | sum(n9, n25) = n8 & sum(n9, n24) = n7 & sum(n9, n23) = n6 & sum(n9, % 186.49/26.55 | n22) = n5 & sum(n9, n21) = n4 & sum(n9, n20) = n3 & sum(n9, n19) = n2 % 186.49/26.55 | & sum(n9, n18) = n1 & sum(n9, n17) = n0 & sum(n9, n16) = n25 & sum(n9, % 186.49/26.55 | n15) = n24 & sum(n9, n14) = n23 & sum(n9, n13) = n22 & sum(n9, n12) = % 186.49/26.55 | n21 & sum(n9, n11) = n20 & sum(n9, n10) = n19 & sum(n9, n9) = n18 & % 186.49/26.55 | sum(n9, n8) = n17 & sum(n9, n7) = n16 & sum(n9, n6) = n15 & sum(n9, n5) % 186.49/26.55 | = n14 & sum(n9, n4) = n13 & sum(n9, n3) = n12 & sum(n9, n2) = n11 & % 186.49/26.55 | sum(n9, n1) = n10 & sum(n9, n0) = n9 & sum(n8, n25) = n7 & sum(n8, n24) % 186.49/26.55 | = n6 & sum(n8, n23) = n5 & sum(n8, n22) = n4 & sum(n8, n21) = n3 & % 186.49/26.55 | sum(n8, n20) = n2 & sum(n8, n19) = n1 & sum(n8, n18) = n0 & sum(n8, % 186.49/26.55 | n17) = n25 & sum(n8, n16) = n24 & sum(n8, n15) = n23 & sum(n8, n14) = % 186.49/26.55 | n22 & sum(n8, n13) = n21 & sum(n8, n12) = n20 & sum(n8, n11) = n19 & % 186.49/26.55 | sum(n8, n10) = n18 & sum(n8, n9) = n17 & sum(n8, n8) = n16 & sum(n8, % 186.49/26.55 | n7) = n15 & sum(n8, n6) = n14 & sum(n8, n5) = n13 & sum(n8, n4) = n12 % 186.49/26.55 | & sum(n8, n3) = n11 & sum(n8, n2) = n10 & sum(n8, n1) = n9 & sum(n8, % 186.49/26.55 | n0) = n8 & sum(n7, n25) = n6 & sum(n7, n24) = n5 & sum(n7, n23) = n4 % 186.49/26.55 | & sum(n7, n22) = n3 & sum(n7, n21) = n2 & sum(n7, n20) = n1 & sum(n7, % 186.49/26.55 | n19) = n0 & sum(n7, n18) = n25 & sum(n7, n17) = n24 & sum(n7, n16) = % 186.49/26.55 | n23 & sum(n7, n15) = n22 & sum(n7, n14) = n21 & sum(n7, n13) = n20 & % 186.49/26.55 | sum(n7, n12) = n19 & sum(n7, n11) = n18 & sum(n7, n10) = n17 & sum(n7, % 186.49/26.55 | n9) = n16 & sum(n7, n8) = n15 & sum(n7, n7) = n14 & sum(n7, n6) = n13 % 186.49/26.55 | & sum(n7, n5) = n12 & sum(n7, n4) = n11 & sum(n7, n3) = n10 & sum(n7, % 186.49/26.55 | n2) = n9 & sum(n7, n1) = n8 & sum(n7, n0) = n7 & sum(n6, n25) = n5 & % 186.49/26.55 | sum(n6, n24) = n4 & sum(n6, n23) = n3 & sum(n6, n22) = n2 & sum(n6, % 186.49/26.55 | n21) = n1 & sum(n6, n20) = n0 & sum(n6, n19) = n25 & sum(n6, n18) = % 186.49/26.55 | n24 & sum(n6, n17) = n23 & sum(n6, n16) = n22 & sum(n6, n15) = n21 & % 186.49/26.55 | sum(n6, n14) = n20 & sum(n6, n13) = n19 & sum(n6, n12) = n18 & sum(n6, % 186.49/26.55 | n11) = n17 & sum(n6, n10) = n16 & sum(n6, n9) = n15 & sum(n6, n8) = % 186.49/26.55 | n14 & sum(n6, n7) = n13 & sum(n6, n6) = n12 & sum(n6, n5) = n11 & % 186.49/26.55 | sum(n6, n4) = n10 & sum(n6, n3) = n9 & sum(n6, n2) = n8 & sum(n6, n1) = % 186.49/26.55 | n7 & sum(n6, n0) = n6 & sum(n5, n25) = n4 & sum(n5, n24) = n3 & sum(n5, % 186.49/26.55 | n23) = n2 & sum(n5, n22) = n1 & sum(n5, n21) = n0 & sum(n5, n20) = % 186.49/26.55 | n25 & sum(n5, n19) = n24 & sum(n5, n18) = n23 & sum(n5, n17) = n22 & % 186.49/26.55 | sum(n5, n16) = n21 & sum(n5, n15) = n20 & sum(n5, n14) = n19 & sum(n5, % 186.49/26.55 | n13) = n18 & sum(n5, n12) = n17 & sum(n5, n11) = n16 & sum(n5, n10) = % 186.49/26.55 | n15 & sum(n5, n9) = n14 & sum(n5, n8) = n13 & sum(n5, n7) = n12 & % 186.49/26.55 | sum(n5, n6) = n11 & sum(n5, n5) = n10 & sum(n5, n4) = n9 & sum(n5, n3) % 186.49/26.55 | = n8 & sum(n5, n2) = n7 & sum(n5, n1) = n6 & sum(n5, n0) = n5 & sum(n4, % 186.49/26.55 | n25) = n3 & sum(n4, n24) = n2 & sum(n4, n23) = n1 & sum(n4, n22) = n0 % 186.49/26.55 | & sum(n4, n21) = n25 & sum(n4, n20) = n24 & sum(n4, n19) = n23 & % 186.49/26.55 | sum(n4, n18) = n22 & sum(n4, n17) = n21 & sum(n4, n16) = n20 & sum(n4, % 186.49/26.55 | n15) = n19 & sum(n4, n14) = n18 & sum(n4, n13) = n17 & sum(n4, n12) = % 186.49/26.55 | n16 & sum(n4, n11) = n15 & sum(n4, n10) = n14 & sum(n4, n9) = n13 & % 186.49/26.55 | sum(n4, n8) = n12 & sum(n4, n7) = n11 & sum(n4, n6) = n10 & sum(n4, n5) % 186.49/26.55 | = n9 & sum(n4, n4) = n8 & sum(n4, n3) = n7 & sum(n4, n2) = n6 & sum(n4, % 186.49/26.55 | n1) = n5 & sum(n4, n0) = n4 & sum(n3, n25) = n2 & sum(n3, n24) = n1 & % 186.49/26.55 | sum(n3, n23) = n0 & sum(n3, n22) = n25 & sum(n3, n21) = n24 & sum(n3, % 186.49/26.55 | n20) = n23 & sum(n3, n19) = n22 & sum(n3, n18) = n21 & sum(n3, n17) = % 186.49/26.55 | n20 & sum(n3, n16) = n19 & sum(n3, n15) = n18 & sum(n3, n14) = n17 & % 186.49/26.55 | sum(n3, n13) = n16 & sum(n3, n12) = n15 & sum(n3, n11) = n14 & sum(n3, % 186.49/26.55 | n10) = n13 & sum(n3, n9) = n12 & sum(n3, n8) = n11 & sum(n3, n7) = % 186.49/26.55 | n10 & sum(n3, n6) = n9 & sum(n3, n5) = n8 & sum(n3, n4) = n7 & sum(n3, % 186.49/26.55 | n3) = n6 & sum(n3, n2) = n5 & sum(n3, n1) = n4 & sum(n3, n0) = n3 & % 186.49/26.55 | sum(n2, n25) = n1 & sum(n2, n24) = n0 & sum(n2, n23) = n25 & sum(n2, % 186.49/26.55 | n22) = n24 & sum(n2, n21) = n23 & sum(n2, n20) = n22 & sum(n2, n19) = % 186.49/26.55 | n21 & sum(n2, n18) = n20 & sum(n2, n17) = n19 & sum(n2, n16) = n18 & % 186.49/26.55 | sum(n2, n15) = n17 & sum(n2, n14) = n16 & sum(n2, n13) = n15 & sum(n2, % 186.49/26.55 | n12) = n14 & sum(n2, n11) = n13 & sum(n2, n10) = n12 & sum(n2, n9) = % 186.49/26.55 | n11 & sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2, n6) = n8 & sum(n2, % 186.49/26.55 | n5) = n7 & sum(n2, n4) = n6 & sum(n2, n3) = n5 & sum(n2, n2) = n4 & % 186.49/26.55 | sum(n2, n1) = n3 & sum(n2, n0) = n2 & sum(n1, n25) = n0 & sum(n1, n24) % 186.49/26.55 | = n25 & sum(n1, n23) = n24 & sum(n1, n22) = n23 & sum(n1, n21) = n22 & % 186.49/26.55 | sum(n1, n20) = n21 & sum(n1, n19) = n20 & sum(n1, n18) = n19 & sum(n1, % 186.49/26.55 | n17) = n18 & sum(n1, n16) = n17 & sum(n1, n15) = n16 & sum(n1, n14) = % 186.49/26.55 | n15 & sum(n1, n13) = n14 & sum(n1, n12) = n13 & sum(n1, n11) = n12 & % 186.49/26.55 | sum(n1, n10) = n11 & sum(n1, n9) = n10 & sum(n1, n8) = n9 & sum(n1, n7) % 186.49/26.55 | = n8 & sum(n1, n6) = n7 & sum(n1, n5) = n6 & sum(n1, n4) = n5 & sum(n1, % 186.49/26.55 | n3) = n4 & sum(n1, n2) = n3 & sum(n1, n1) = n2 & sum(n1, n0) = n1 & % 186.49/26.55 | sum(n0, n25) = n25 & sum(n0, n24) = n24 & sum(n0, n23) = n23 & sum(n0, % 186.49/26.55 | n22) = n22 & sum(n0, n21) = n21 & sum(n0, n20) = n20 & sum(n0, n19) = % 186.49/26.55 | n19 & sum(n0, n18) = n18 & sum(n0, n17) = n17 & sum(n0, n16) = n16 & % 186.49/26.55 | sum(n0, n15) = n15 & sum(n0, n14) = n14 & sum(n0, n13) = n13 & sum(n0, % 186.49/26.55 | n12) = n12 & sum(n0, n11) = n11 & sum(n0, n10) = n10 & sum(n0, n9) = % 186.49/26.55 | n9 & sum(n0, n8) = n8 & sum(n0, n7) = n7 & sum(n0, n6) = n6 & sum(n0, % 186.49/26.55 | n5) = n5 & sum(n0, n4) = n4 & sum(n0, n3) = n3 & sum(n0, n2) = n2 & % 186.49/26.55 | sum(n0, n1) = n1 & sum(n0, n0) = n0 & $i(all_4_0) & $i(all_4_1) & % 186.49/26.55 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & % 186.49/26.55 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & % 186.49/26.55 | (all_4_10 = n25 | all_4_10 = n24 | all_4_10 = n23 | all_4_10 = n22 | % 186.49/26.55 | all_4_10 = n21 | all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 186.49/26.55 | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 186.49/26.55 | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 186.49/26.55 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 186.49/26.55 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 186.49/26.55 | all_4_10 = n1 | all_4_10 = n0) & (all_4_11 = n25 | all_4_11 = n24 | % 186.49/26.55 | all_4_11 = n23 | all_4_11 = n22 | all_4_11 = n21 | all_4_11 = n20 | % 186.49/26.55 | all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 186.49/26.55 | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 186.49/26.55 | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 186.49/26.55 | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 186.49/26.55 | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0) % 186.49/26.55 | % 186.49/26.55 | ALPHA: (5) implies: % 186.88/26.56 | (6) ~ (all_4_0 = all_4_3) % 186.88/26.56 | (7) sum(n0, n0) = n0 % 186.88/26.56 | (8) sum(n0, n1) = n1 % 186.88/26.56 | (9) sum(n0, n2) = n2 % 186.88/26.56 | (10) sum(n0, n3) = n3 % 186.88/26.56 | (11) sum(n0, n4) = n4 % 186.88/26.56 | (12) sum(n0, n5) = n5 % 186.88/26.56 | (13) sum(n0, n6) = n6 % 186.88/26.56 | (14) sum(n0, n7) = n7 % 186.88/26.56 | (15) sum(n0, n8) = n8 % 186.88/26.56 | (16) sum(n0, n9) = n9 % 186.88/26.56 | (17) sum(n0, n10) = n10 % 186.88/26.56 | (18) sum(n0, n11) = n11 % 186.88/26.56 | (19) sum(n0, n12) = n12 % 186.88/26.56 | (20) sum(n0, n13) = n13 % 186.88/26.56 | (21) sum(n0, n14) = n14 % 186.88/26.56 | (22) sum(n0, n15) = n15 % 186.88/26.56 | (23) sum(n0, n16) = n16 % 186.88/26.56 | (24) sum(n0, n17) = n17 % 186.88/26.56 | (25) sum(n0, n18) = n18 % 186.88/26.56 | (26) sum(n0, n19) = n19 % 186.88/26.56 | (27) sum(n0, n20) = n20 % 186.88/26.56 | (28) sum(n0, n21) = n21 % 186.88/26.56 | (29) sum(n0, n22) = n22 % 186.88/26.56 | (30) sum(n0, n23) = n23 % 186.88/26.56 | (31) sum(n0, n24) = n24 % 186.88/26.56 | (32) sum(n0, n25) = n25 % 186.88/26.56 | (33) sum(n1, n0) = n1 % 186.88/26.56 | (34) sum(n1, n1) = n2 % 186.88/26.56 | (35) sum(n1, n2) = n3 % 186.88/26.56 | (36) sum(n1, n3) = n4 % 186.88/26.56 | (37) sum(n1, n4) = n5 % 186.88/26.56 | (38) sum(n1, n5) = n6 % 186.88/26.56 | (39) sum(n1, n6) = n7 % 186.88/26.56 | (40) sum(n1, n7) = n8 % 186.88/26.56 | (41) sum(n1, n8) = n9 % 186.88/26.56 | (42) sum(n1, n9) = n10 % 186.88/26.56 | (43) sum(n1, n10) = n11 % 186.88/26.56 | (44) sum(n1, n11) = n12 % 186.88/26.56 | (45) sum(n1, n12) = n13 % 186.88/26.56 | (46) sum(n1, n13) = n14 % 186.88/26.56 | (47) sum(n1, n14) = n15 % 186.88/26.56 | (48) sum(n1, n15) = n16 % 186.88/26.56 | (49) sum(n1, n16) = n17 % 186.88/26.56 | (50) sum(n1, n17) = n18 % 186.88/26.56 | (51) sum(n1, n18) = n19 % 186.88/26.56 | (52) sum(n1, n19) = n20 % 186.88/26.56 | (53) sum(n1, n20) = n21 % 186.88/26.56 | (54) sum(n1, n21) = n22 % 186.88/26.56 | (55) sum(n1, n22) = n23 % 186.88/26.56 | (56) sum(n1, n23) = n24 % 186.88/26.56 | (57) sum(n1, n24) = n25 % 186.88/26.56 | (58) sum(n1, n25) = n0 % 186.88/26.56 | (59) sum(n2, n0) = n2 % 186.88/26.56 | (60) sum(n2, n1) = n3 % 186.88/26.56 | (61) sum(n2, n2) = n4 % 186.88/26.56 | (62) sum(n2, n3) = n5 % 186.88/26.56 | (63) sum(n2, n4) = n6 % 186.88/26.56 | (64) sum(n2, n5) = n7 % 186.88/26.56 | (65) sum(n2, n6) = n8 % 186.88/26.57 | (66) sum(n2, n7) = n9 % 186.88/26.57 | (67) sum(n2, n8) = n10 % 186.88/26.57 | (68) sum(n2, n9) = n11 % 186.88/26.57 | (69) sum(n2, n10) = n12 % 186.88/26.57 | (70) sum(n2, n11) = n13 % 186.88/26.57 | (71) sum(n2, n12) = n14 % 186.88/26.57 | (72) sum(n2, n13) = n15 % 186.88/26.57 | (73) sum(n2, n14) = n16 % 186.88/26.57 | (74) sum(n2, n15) = n17 % 186.88/26.57 | (75) sum(n2, n16) = n18 % 186.88/26.57 | (76) sum(n2, n17) = n19 % 186.88/26.57 | (77) sum(n2, n18) = n20 % 186.88/26.57 | (78) sum(n2, n19) = n21 % 186.88/26.57 | (79) sum(n2, n20) = n22 % 186.88/26.57 | (80) sum(n2, n21) = n23 % 186.88/26.57 | (81) sum(n2, n22) = n24 % 186.88/26.57 | (82) sum(n2, n23) = n25 % 186.88/26.57 | (83) sum(n2, n24) = n0 % 186.88/26.57 | (84) sum(n2, n25) = n1 % 186.88/26.57 | (85) sum(n3, n0) = n3 % 186.88/26.57 | (86) sum(n3, n1) = n4 % 186.88/26.57 | (87) sum(n3, n2) = n5 % 186.88/26.57 | (88) sum(n3, n3) = n6 % 186.88/26.57 | (89) sum(n3, n4) = n7 % 186.88/26.57 | (90) sum(n3, n5) = n8 % 186.88/26.57 | (91) sum(n3, n6) = n9 % 186.88/26.57 | (92) sum(n3, n7) = n10 % 186.88/26.57 | (93) sum(n3, n8) = n11 % 186.88/26.57 | (94) sum(n3, n9) = n12 % 186.88/26.57 | (95) sum(n3, n10) = n13 % 186.88/26.57 | (96) sum(n3, n11) = n14 % 186.88/26.57 | (97) sum(n3, n12) = n15 % 186.88/26.57 | (98) sum(n3, n13) = n16 % 186.88/26.57 | (99) sum(n3, n14) = n17 % 186.88/26.57 | (100) sum(n3, n15) = n18 % 186.88/26.57 | (101) sum(n3, n16) = n19 % 186.88/26.57 | (102) sum(n3, n17) = n20 % 186.88/26.57 | (103) sum(n3, n18) = n21 % 186.88/26.57 | (104) sum(n3, n19) = n22 % 186.88/26.57 | (105) sum(n3, n20) = n23 % 186.88/26.57 | (106) sum(n3, n21) = n24 % 186.88/26.57 | (107) sum(n3, n22) = n25 % 186.88/26.57 | (108) sum(n3, n23) = n0 % 186.88/26.57 | (109) sum(n3, n24) = n1 % 186.88/26.57 | (110) sum(n3, n25) = n2 % 186.88/26.57 | (111) sum(n4, n0) = n4 % 186.88/26.57 | (112) sum(n4, n1) = n5 % 186.88/26.57 | (113) sum(n4, n2) = n6 % 186.88/26.57 | (114) sum(n4, n3) = n7 % 186.88/26.57 | (115) sum(n4, n4) = n8 % 186.88/26.57 | (116) sum(n4, n5) = n9 % 186.88/26.57 | (117) sum(n4, n6) = n10 % 186.88/26.57 | (118) sum(n4, n7) = n11 % 186.88/26.57 | (119) sum(n4, n8) = n12 % 186.88/26.57 | (120) sum(n4, n9) = n13 % 186.88/26.57 | (121) sum(n4, n10) = n14 % 186.88/26.57 | (122) sum(n4, n11) = n15 % 186.88/26.57 | (123) sum(n4, n12) = n16 % 186.88/26.57 | (124) sum(n4, n13) = n17 % 186.88/26.57 | (125) sum(n4, n14) = n18 % 186.88/26.57 | (126) sum(n4, n15) = n19 % 186.88/26.57 | (127) sum(n4, n16) = n20 % 186.88/26.57 | (128) sum(n4, n17) = n21 % 186.88/26.57 | (129) sum(n4, n18) = n22 % 186.88/26.57 | (130) sum(n4, n19) = n23 % 186.88/26.57 | (131) sum(n4, n20) = n24 % 186.88/26.57 | (132) sum(n4, n21) = n25 % 186.88/26.57 | (133) sum(n4, n22) = n0 % 186.88/26.57 | (134) sum(n4, n23) = n1 % 186.88/26.57 | (135) sum(n4, n24) = n2 % 186.88/26.57 | (136) sum(n4, n25) = n3 % 186.88/26.57 | (137) sum(n5, n0) = n5 % 186.88/26.57 | (138) sum(n5, n1) = n6 % 186.88/26.57 | (139) sum(n5, n2) = n7 % 186.88/26.57 | (140) sum(n5, n3) = n8 % 186.88/26.57 | (141) sum(n5, n4) = n9 % 186.88/26.57 | (142) sum(n5, n5) = n10 % 186.88/26.57 | (143) sum(n5, n6) = n11 % 186.88/26.57 | (144) sum(n5, n7) = n12 % 186.88/26.57 | (145) sum(n5, n8) = n13 % 186.88/26.57 | (146) sum(n5, n9) = n14 % 186.88/26.57 | (147) sum(n5, n10) = n15 % 186.88/26.57 | (148) sum(n5, n11) = n16 % 186.88/26.57 | (149) sum(n5, n12) = n17 % 186.88/26.57 | (150) sum(n5, n13) = n18 % 186.88/26.57 | (151) sum(n5, n14) = n19 % 186.88/26.57 | (152) sum(n5, n15) = n20 % 186.88/26.57 | (153) sum(n5, n16) = n21 % 186.88/26.57 | (154) sum(n5, n17) = n22 % 186.88/26.57 | (155) sum(n5, n18) = n23 % 186.88/26.57 | (156) sum(n5, n19) = n24 % 186.88/26.57 | (157) sum(n5, n20) = n25 % 186.88/26.57 | (158) sum(n5, n21) = n0 % 186.88/26.57 | (159) sum(n5, n22) = n1 % 186.88/26.57 | (160) sum(n5, n23) = n2 % 186.88/26.57 | (161) sum(n5, n24) = n3 % 186.88/26.57 | (162) sum(n5, n25) = n4 % 186.88/26.57 | (163) sum(n6, n0) = n6 % 186.88/26.57 | (164) sum(n6, n1) = n7 % 186.88/26.57 | (165) sum(n6, n2) = n8 % 186.88/26.57 | (166) sum(n6, n3) = n9 % 186.88/26.57 | (167) sum(n6, n4) = n10 % 186.88/26.57 | (168) sum(n6, n5) = n11 % 186.88/26.57 | (169) sum(n6, n6) = n12 % 186.88/26.58 | (170) sum(n6, n7) = n13 % 186.88/26.58 | (171) sum(n6, n8) = n14 % 186.88/26.58 | (172) sum(n6, n9) = n15 % 186.88/26.58 | (173) sum(n6, n10) = n16 % 186.88/26.58 | (174) sum(n6, n11) = n17 % 186.88/26.58 | (175) sum(n6, n12) = n18 % 186.88/26.58 | (176) sum(n6, n13) = n19 % 186.88/26.58 | (177) sum(n6, n14) = n20 % 186.88/26.58 | (178) sum(n6, n15) = n21 % 186.88/26.58 | (179) sum(n6, n16) = n22 % 186.88/26.58 | (180) sum(n6, n17) = n23 % 186.88/26.58 | (181) sum(n6, n18) = n24 % 186.88/26.58 | (182) sum(n6, n19) = n25 % 186.88/26.58 | (183) sum(n6, n20) = n0 % 186.88/26.58 | (184) sum(n6, n21) = n1 % 186.88/26.58 | (185) sum(n6, n22) = n2 % 186.88/26.58 | (186) sum(n6, n23) = n3 % 186.88/26.58 | (187) sum(n6, n24) = n4 % 186.88/26.58 | (188) sum(n6, n25) = n5 % 186.88/26.58 | (189) sum(n7, n0) = n7 % 186.88/26.58 | (190) sum(n7, n1) = n8 % 186.88/26.58 | (191) sum(n7, n2) = n9 % 186.88/26.58 | (192) sum(n7, n3) = n10 % 186.88/26.58 | (193) sum(n7, n4) = n11 % 186.88/26.58 | (194) sum(n7, n5) = n12 % 186.88/26.58 | (195) sum(n7, n6) = n13 % 186.88/26.58 | (196) sum(n7, n7) = n14 % 186.88/26.58 | (197) sum(n7, n8) = n15 % 186.88/26.58 | (198) sum(n7, n9) = n16 % 186.88/26.58 | (199) sum(n7, n10) = n17 % 186.88/26.58 | (200) sum(n7, n11) = n18 % 186.88/26.58 | (201) sum(n7, n12) = n19 % 186.88/26.58 | (202) sum(n7, n13) = n20 % 186.88/26.58 | (203) sum(n7, n14) = n21 % 186.88/26.58 | (204) sum(n7, n15) = n22 % 186.88/26.58 | (205) sum(n7, n16) = n23 % 186.88/26.58 | (206) sum(n7, n17) = n24 % 186.88/26.58 | (207) sum(n7, n18) = n25 % 186.88/26.58 | (208) sum(n7, n19) = n0 % 186.88/26.58 | (209) sum(n7, n20) = n1 % 186.88/26.58 | (210) sum(n7, n21) = n2 % 186.88/26.58 | (211) sum(n7, n22) = n3 % 186.88/26.58 | (212) sum(n7, n23) = n4 % 186.88/26.58 | (213) sum(n7, n24) = n5 % 186.88/26.58 | (214) sum(n7, n25) = n6 % 186.88/26.58 | (215) sum(n8, n0) = n8 % 186.88/26.58 | (216) sum(n8, n1) = n9 % 186.88/26.58 | (217) sum(n8, n2) = n10 % 186.88/26.58 | (218) sum(n8, n3) = n11 % 186.88/26.58 | (219) sum(n8, n4) = n12 % 186.88/26.58 | (220) sum(n8, n5) = n13 % 186.88/26.58 | (221) sum(n8, n6) = n14 % 186.88/26.58 | (222) sum(n8, n7) = n15 % 186.88/26.58 | (223) sum(n8, n8) = n16 % 186.88/26.58 | (224) sum(n8, n9) = n17 % 186.88/26.58 | (225) sum(n8, n10) = n18 % 186.88/26.58 | (226) sum(n8, n11) = n19 % 186.88/26.58 | (227) sum(n8, n12) = n20 % 186.88/26.58 | (228) sum(n8, n13) = n21 % 186.88/26.58 | (229) sum(n8, n14) = n22 % 186.88/26.58 | (230) sum(n8, n15) = n23 % 186.88/26.58 | (231) sum(n8, n16) = n24 % 186.88/26.58 | (232) sum(n8, n17) = n25 % 186.88/26.58 | (233) sum(n8, n18) = n0 % 186.88/26.58 | (234) sum(n8, n19) = n1 % 186.88/26.58 | (235) sum(n8, n20) = n2 % 186.88/26.58 | (236) sum(n8, n21) = n3 % 186.88/26.58 | (237) sum(n8, n22) = n4 % 186.88/26.58 | (238) sum(n8, n23) = n5 % 186.88/26.58 | (239) sum(n8, n24) = n6 % 186.88/26.58 | (240) sum(n8, n25) = n7 % 186.88/26.58 | (241) sum(n9, n0) = n9 % 186.88/26.58 | (242) sum(n9, n1) = n10 % 186.88/26.58 | (243) sum(n9, n2) = n11 % 186.88/26.58 | (244) sum(n9, n3) = n12 % 186.88/26.58 | (245) sum(n9, n4) = n13 % 186.88/26.58 | (246) sum(n9, n5) = n14 % 186.88/26.58 | (247) sum(n9, n6) = n15 % 186.88/26.58 | (248) sum(n9, n7) = n16 % 186.88/26.58 | (249) sum(n9, n8) = n17 % 186.88/26.58 | (250) sum(n9, n9) = n18 % 186.88/26.58 | (251) sum(n9, n10) = n19 % 186.88/26.58 | (252) sum(n9, n11) = n20 % 186.88/26.58 | (253) sum(n9, n12) = n21 % 186.88/26.58 | (254) sum(n9, n13) = n22 % 186.88/26.58 | (255) sum(n9, n14) = n23 % 186.88/26.58 | (256) sum(n9, n15) = n24 % 186.88/26.58 | (257) sum(n9, n16) = n25 % 186.88/26.58 | (258) sum(n9, n17) = n0 % 186.88/26.58 | (259) sum(n9, n18) = n1 % 186.88/26.58 | (260) sum(n9, n19) = n2 % 186.88/26.58 | (261) sum(n9, n20) = n3 % 186.88/26.58 | (262) sum(n9, n21) = n4 % 186.88/26.58 | (263) sum(n9, n22) = n5 % 186.88/26.58 | (264) sum(n9, n23) = n6 % 186.88/26.58 | (265) sum(n9, n24) = n7 % 186.88/26.58 | (266) sum(n9, n25) = n8 % 186.88/26.58 | (267) sum(n10, n0) = n10 % 186.88/26.58 | (268) sum(n10, n1) = n11 % 186.88/26.58 | (269) sum(n10, n2) = n12 % 186.88/26.58 | (270) sum(n10, n3) = n13 % 186.88/26.58 | (271) sum(n10, n4) = n14 % 186.88/26.58 | (272) sum(n10, n5) = n15 % 186.88/26.58 | (273) sum(n10, n6) = n16 % 186.88/26.58 | (274) sum(n10, n7) = n17 % 186.88/26.58 | (275) sum(n10, n8) = n18 % 186.88/26.58 | (276) sum(n10, n9) = n19 % 186.88/26.58 | (277) sum(n10, n10) = n20 % 186.88/26.58 | (278) sum(n10, n11) = n21 % 186.88/26.59 | (279) sum(n10, n12) = n22 % 186.88/26.59 | (280) sum(n10, n13) = n23 % 186.88/26.59 | (281) sum(n10, n14) = n24 % 186.88/26.59 | (282) sum(n10, n15) = n25 % 186.88/26.59 | (283) sum(n10, n16) = n0 % 186.88/26.59 | (284) sum(n10, n17) = n1 % 186.88/26.59 | (285) sum(n10, n18) = n2 % 186.88/26.59 | (286) sum(n10, n19) = n3 % 186.88/26.59 | (287) sum(n10, n20) = n4 % 186.88/26.59 | (288) sum(n10, n21) = n5 % 186.88/26.59 | (289) sum(n10, n22) = n6 % 186.88/26.59 | (290) sum(n10, n23) = n7 % 186.88/26.59 | (291) sum(n10, n24) = n8 % 186.88/26.59 | (292) sum(n10, n25) = n9 % 186.88/26.59 | (293) sum(n11, n0) = n11 % 186.88/26.59 | (294) sum(n11, n1) = n12 % 186.88/26.59 | (295) sum(n11, n2) = n13 % 186.88/26.59 | (296) sum(n11, n3) = n14 % 186.88/26.59 | (297) sum(n11, n4) = n15 % 186.88/26.59 | (298) sum(n11, n5) = n16 % 186.88/26.59 | (299) sum(n11, n6) = n17 % 186.88/26.59 | (300) sum(n11, n7) = n18 % 186.88/26.59 | (301) sum(n11, n8) = n19 % 186.88/26.59 | (302) sum(n11, n9) = n20 % 186.88/26.59 | (303) sum(n11, n10) = n21 % 186.88/26.59 | (304) sum(n11, n11) = n22 % 186.88/26.59 | (305) sum(n11, n12) = n23 % 186.88/26.59 | (306) sum(n11, n13) = n24 % 186.88/26.59 | (307) sum(n11, n14) = n25 % 186.88/26.59 | (308) sum(n11, n15) = n0 % 186.88/26.59 | (309) sum(n11, n16) = n1 % 186.88/26.59 | (310) sum(n11, n17) = n2 % 186.88/26.59 | (311) sum(n11, n18) = n3 % 186.88/26.59 | (312) sum(n11, n19) = n4 % 186.88/26.59 | (313) sum(n11, n20) = n5 % 186.88/26.59 | (314) sum(n11, n21) = n6 % 186.88/26.59 | (315) sum(n11, n22) = n7 % 186.88/26.59 | (316) sum(n11, n23) = n8 % 186.88/26.59 | (317) sum(n11, n24) = n9 % 186.88/26.59 | (318) sum(n11, n25) = n10 % 186.88/26.59 | (319) sum(n12, n0) = n12 % 186.88/26.59 | (320) sum(n12, n1) = n13 % 186.88/26.59 | (321) sum(n12, n2) = n14 % 186.88/26.59 | (322) sum(n12, n3) = n15 % 186.88/26.59 | (323) sum(n12, n4) = n16 % 186.88/26.59 | (324) sum(n12, n5) = n17 % 186.88/26.59 | (325) sum(n12, n6) = n18 % 186.88/26.59 | (326) sum(n12, n7) = n19 % 186.88/26.59 | (327) sum(n12, n8) = n20 % 186.88/26.59 | (328) sum(n12, n9) = n21 % 186.88/26.59 | (329) sum(n12, n10) = n22 % 186.88/26.59 | (330) sum(n12, n11) = n23 % 186.88/26.59 | (331) sum(n12, n12) = n24 % 186.88/26.59 | (332) sum(n12, n13) = n25 % 186.88/26.59 | (333) sum(n12, n14) = n0 % 187.06/26.59 | (334) sum(n12, n15) = n1 % 187.06/26.59 | (335) sum(n12, n16) = n2 % 187.06/26.59 | (336) sum(n12, n17) = n3 % 187.06/26.59 | (337) sum(n12, n18) = n4 % 187.06/26.59 | (338) sum(n12, n19) = n5 % 187.06/26.59 | (339) sum(n12, n20) = n6 % 187.06/26.59 | (340) sum(n12, n21) = n7 % 187.06/26.59 | (341) sum(n12, n22) = n8 % 187.06/26.59 | (342) sum(n12, n23) = n9 % 187.06/26.59 | (343) sum(n12, n24) = n10 % 187.06/26.59 | (344) sum(n12, n25) = n11 % 187.06/26.59 | (345) sum(n13, n0) = n13 % 187.06/26.59 | (346) sum(n13, n1) = n14 % 187.06/26.59 | (347) sum(n13, n2) = n15 % 187.06/26.59 | (348) sum(n13, n3) = n16 % 187.06/26.59 | (349) sum(n13, n4) = n17 % 187.06/26.59 | (350) sum(n13, n5) = n18 % 187.06/26.59 | (351) sum(n13, n6) = n19 % 187.06/26.59 | (352) sum(n13, n7) = n20 % 187.06/26.59 | (353) sum(n13, n8) = n21 % 187.06/26.59 | (354) sum(n13, n9) = n22 % 187.06/26.59 | (355) sum(n13, n10) = n23 % 187.06/26.59 | (356) sum(n13, n11) = n24 % 187.06/26.59 | (357) sum(n13, n12) = n25 % 187.06/26.59 | (358) sum(n13, n13) = n0 % 187.06/26.59 | (359) sum(n13, n14) = n1 % 187.06/26.59 | (360) sum(n13, n15) = n2 % 187.06/26.59 | (361) sum(n13, n16) = n3 % 187.06/26.59 | (362) sum(n13, n17) = n4 % 187.06/26.59 | (363) sum(n13, n18) = n5 % 187.06/26.59 | (364) sum(n13, n19) = n6 % 187.06/26.59 | (365) sum(n13, n20) = n7 % 187.06/26.59 | (366) sum(n13, n21) = n8 % 187.06/26.59 | (367) sum(n13, n22) = n9 % 187.06/26.59 | (368) sum(n13, n23) = n10 % 187.06/26.59 | (369) sum(n13, n24) = n11 % 187.06/26.59 | (370) sum(n13, n25) = n12 % 187.06/26.59 | (371) sum(n14, n0) = n14 % 187.06/26.59 | (372) sum(n14, n1) = n15 % 187.06/26.59 | (373) sum(n14, n2) = n16 % 187.06/26.59 | (374) sum(n14, n3) = n17 % 187.06/26.59 | (375) sum(n14, n4) = n18 % 187.06/26.59 | (376) sum(n14, n5) = n19 % 187.06/26.59 | (377) sum(n14, n6) = n20 % 187.06/26.59 | (378) sum(n14, n7) = n21 % 187.06/26.59 | (379) sum(n14, n8) = n22 % 187.06/26.59 | (380) sum(n14, n9) = n23 % 187.06/26.59 | (381) sum(n14, n10) = n24 % 187.06/26.59 | (382) sum(n14, n11) = n25 % 187.06/26.59 | (383) sum(n14, n12) = n0 % 187.06/26.59 | (384) sum(n14, n13) = n1 % 187.06/26.59 | (385) sum(n14, n14) = n2 % 187.06/26.59 | (386) sum(n14, n15) = n3 % 187.06/26.59 | (387) sum(n14, n16) = n4 % 187.06/26.59 | (388) sum(n14, n17) = n5 % 187.06/26.59 | (389) sum(n14, n18) = n6 % 187.06/26.59 | (390) sum(n14, n19) = n7 % 187.06/26.59 | (391) sum(n14, n20) = n8 % 187.06/26.59 | (392) sum(n14, n21) = n9 % 187.06/26.59 | (393) sum(n14, n22) = n10 % 187.06/26.59 | (394) sum(n14, n23) = n11 % 187.06/26.59 | (395) sum(n14, n24) = n12 % 187.06/26.59 | (396) sum(n14, n25) = n13 % 187.06/26.59 | (397) sum(n15, n0) = n15 % 187.06/26.59 | (398) sum(n15, n1) = n16 % 187.06/26.59 | (399) sum(n15, n2) = n17 % 187.06/26.59 | (400) sum(n15, n3) = n18 % 187.06/26.59 | (401) sum(n15, n4) = n19 % 187.06/26.59 | (402) sum(n15, n5) = n20 % 187.06/26.59 | (403) sum(n15, n6) = n21 % 187.06/26.60 | (404) sum(n15, n7) = n22 % 187.06/26.60 | (405) sum(n15, n8) = n23 % 187.06/26.60 | (406) sum(n15, n9) = n24 % 187.06/26.60 | (407) sum(n15, n10) = n25 % 187.06/26.60 | (408) sum(n15, n11) = n0 % 187.06/26.60 | (409) sum(n15, n12) = n1 % 187.06/26.60 | (410) sum(n15, n13) = n2 % 187.06/26.60 | (411) sum(n15, n14) = n3 % 187.06/26.60 | (412) sum(n15, n15) = n4 % 187.06/26.60 | (413) sum(n15, n16) = n5 % 187.06/26.60 | (414) sum(n15, n17) = n6 % 187.06/26.60 | (415) sum(n15, n18) = n7 % 187.06/26.60 | (416) sum(n15, n19) = n8 % 187.06/26.60 | (417) sum(n15, n20) = n9 % 187.06/26.60 | (418) sum(n15, n21) = n10 % 187.06/26.60 | (419) sum(n15, n22) = n11 % 187.06/26.60 | (420) sum(n15, n23) = n12 % 187.06/26.60 | (421) sum(n15, n24) = n13 % 187.06/26.60 | (422) sum(n15, n25) = n14 % 187.06/26.60 | (423) sum(n16, n0) = n16 % 187.06/26.60 | (424) sum(n16, n1) = n17 % 187.06/26.60 | (425) sum(n16, n2) = n18 % 187.06/26.60 | (426) sum(n16, n3) = n19 % 187.06/26.60 | (427) sum(n16, n4) = n20 % 187.06/26.60 | (428) sum(n16, n5) = n21 % 187.06/26.60 | (429) sum(n16, n6) = n22 % 187.06/26.60 | (430) sum(n16, n7) = n23 % 187.06/26.60 | (431) sum(n16, n8) = n24 % 187.06/26.60 | (432) sum(n16, n9) = n25 % 187.06/26.60 | (433) sum(n16, n10) = n0 % 187.06/26.60 | (434) sum(n16, n11) = n1 % 187.06/26.60 | (435) sum(n16, n12) = n2 % 187.06/26.60 | (436) sum(n16, n13) = n3 % 187.06/26.60 | (437) sum(n16, n14) = n4 % 187.06/26.60 | (438) sum(n16, n15) = n5 % 187.06/26.60 | (439) sum(n16, n16) = n6 % 187.06/26.60 | (440) sum(n16, n17) = n7 % 187.06/26.60 | (441) sum(n16, n18) = n8 % 187.06/26.60 | (442) sum(n16, n19) = n9 % 187.06/26.60 | (443) sum(n16, n20) = n10 % 187.06/26.60 | (444) sum(n16, n21) = n11 % 187.06/26.60 | (445) sum(n16, n22) = n12 % 187.06/26.60 | (446) sum(n16, n23) = n13 % 187.06/26.60 | (447) sum(n16, n24) = n14 % 187.06/26.60 | (448) sum(n16, n25) = n15 % 187.06/26.60 | (449) sum(n17, n0) = n17 % 187.06/26.60 | (450) sum(n17, n1) = n18 % 187.06/26.60 | (451) sum(n17, n2) = n19 % 187.06/26.60 | (452) sum(n17, n3) = n20 % 187.06/26.60 | (453) sum(n17, n4) = n21 % 187.06/26.60 | (454) sum(n17, n5) = n22 % 187.06/26.60 | (455) sum(n17, n6) = n23 % 187.06/26.60 | (456) sum(n17, n7) = n24 % 187.06/26.60 | (457) sum(n17, n8) = n25 % 187.06/26.60 | (458) sum(n17, n9) = n0 % 187.06/26.60 | (459) sum(n17, n10) = n1 % 187.06/26.60 | (460) sum(n17, n11) = n2 % 187.06/26.60 | (461) sum(n17, n12) = n3 % 187.06/26.60 | (462) sum(n17, n13) = n4 % 187.06/26.60 | (463) sum(n17, n14) = n5 % 187.06/26.60 | (464) sum(n17, n15) = n6 % 187.06/26.60 | (465) sum(n17, n16) = n7 % 187.06/26.60 | (466) sum(n17, n17) = n8 % 187.06/26.60 | (467) sum(n17, n18) = n9 % 187.06/26.60 | (468) sum(n17, n19) = n10 % 187.06/26.60 | (469) sum(n17, n20) = n11 % 187.06/26.60 | (470) sum(n17, n21) = n12 % 187.06/26.60 | (471) sum(n17, n22) = n13 % 187.06/26.60 | (472) sum(n17, n23) = n14 % 187.06/26.60 | (473) sum(n17, n24) = n15 % 187.06/26.60 | (474) sum(n17, n25) = n16 % 187.06/26.60 | (475) sum(n18, n0) = n18 % 187.06/26.60 | (476) sum(n18, n1) = n19 % 187.06/26.60 | (477) sum(n18, n2) = n20 % 187.06/26.60 | (478) sum(n18, n3) = n21 % 187.06/26.60 | (479) sum(n18, n4) = n22 % 187.06/26.60 | (480) sum(n18, n5) = n23 % 187.06/26.60 | (481) sum(n18, n6) = n24 % 187.06/26.60 | (482) sum(n18, n7) = n25 % 187.06/26.60 | (483) sum(n18, n8) = n0 % 187.06/26.60 | (484) sum(n18, n9) = n1 % 187.06/26.60 | (485) sum(n18, n10) = n2 % 187.06/26.60 | (486) sum(n18, n11) = n3 % 187.06/26.60 | (487) sum(n18, n12) = n4 % 187.06/26.60 | (488) sum(n18, n13) = n5 % 187.06/26.60 | (489) sum(n18, n14) = n6 % 187.06/26.60 | (490) sum(n18, n15) = n7 % 187.06/26.60 | (491) sum(n18, n16) = n8 % 187.06/26.60 | (492) sum(n18, n17) = n9 % 187.06/26.60 | (493) sum(n18, n18) = n10 % 187.06/26.60 | (494) sum(n18, n19) = n11 % 187.06/26.60 | (495) sum(n18, n20) = n12 % 187.06/26.60 | (496) sum(n18, n21) = n13 % 187.06/26.60 | (497) sum(n18, n22) = n14 % 187.06/26.60 | (498) sum(n18, n23) = n15 % 187.06/26.60 | (499) sum(n18, n24) = n16 % 187.06/26.60 | (500) sum(n18, n25) = n17 % 187.06/26.60 | (501) sum(n19, n0) = n19 % 187.06/26.60 | (502) sum(n19, n1) = n20 % 187.06/26.60 | (503) sum(n19, n2) = n21 % 187.06/26.60 | (504) sum(n19, n3) = n22 % 187.06/26.60 | (505) sum(n19, n4) = n23 % 187.06/26.60 | (506) sum(n19, n5) = n24 % 187.06/26.60 | (507) sum(n19, n6) = n25 % 187.06/26.60 | (508) sum(n19, n7) = n0 % 187.06/26.60 | (509) sum(n19, n8) = n1 % 187.06/26.60 | (510) sum(n19, n9) = n2 % 187.06/26.60 | (511) sum(n19, n10) = n3 % 187.06/26.60 | (512) sum(n19, n11) = n4 % 187.06/26.60 | (513) sum(n19, n12) = n5 % 187.06/26.60 | (514) sum(n19, n13) = n6 % 187.06/26.60 | (515) sum(n19, n14) = n7 % 187.06/26.60 | (516) sum(n19, n15) = n8 % 187.06/26.60 | (517) sum(n19, n16) = n9 % 187.06/26.60 | (518) sum(n19, n17) = n10 % 187.06/26.60 | (519) sum(n19, n18) = n11 % 187.06/26.60 | (520) sum(n19, n19) = n12 % 187.06/26.60 | (521) sum(n19, n20) = n13 % 187.06/26.60 | (522) sum(n19, n21) = n14 % 187.06/26.60 | (523) sum(n19, n22) = n15 % 187.06/26.60 | (524) sum(n19, n23) = n16 % 187.06/26.60 | (525) sum(n19, n24) = n17 % 187.06/26.60 | (526) sum(n19, n25) = n18 % 187.06/26.60 | (527) sum(n20, n0) = n20 % 187.06/26.60 | (528) sum(n20, n1) = n21 % 187.06/26.60 | (529) sum(n20, n2) = n22 % 187.06/26.60 | (530) sum(n20, n3) = n23 % 187.06/26.60 | (531) sum(n20, n4) = n24 % 187.06/26.60 | (532) sum(n20, n5) = n25 % 187.06/26.60 | (533) sum(n20, n6) = n0 % 187.06/26.60 | (534) sum(n20, n7) = n1 % 187.06/26.60 | (535) sum(n20, n8) = n2 % 187.06/26.60 | (536) sum(n20, n9) = n3 % 187.06/26.60 | (537) sum(n20, n10) = n4 % 187.06/26.60 | (538) sum(n20, n11) = n5 % 187.06/26.60 | (539) sum(n20, n12) = n6 % 187.06/26.60 | (540) sum(n20, n13) = n7 % 187.06/26.60 | (541) sum(n20, n14) = n8 % 187.06/26.60 | (542) sum(n20, n15) = n9 % 187.06/26.60 | (543) sum(n20, n16) = n10 % 187.06/26.60 | (544) sum(n20, n17) = n11 % 187.06/26.60 | (545) sum(n20, n18) = n12 % 187.06/26.60 | (546) sum(n20, n19) = n13 % 187.06/26.60 | (547) sum(n20, n20) = n14 % 187.06/26.60 | (548) sum(n20, n21) = n15 % 187.06/26.60 | (549) sum(n20, n22) = n16 % 187.06/26.60 | (550) sum(n20, n23) = n17 % 187.06/26.60 | (551) sum(n20, n24) = n18 % 187.06/26.60 | (552) sum(n20, n25) = n19 % 187.06/26.60 | (553) sum(n21, n0) = n21 % 187.06/26.60 | (554) sum(n21, n1) = n22 % 187.06/26.60 | (555) sum(n21, n2) = n23 % 187.06/26.60 | (556) sum(n21, n3) = n24 % 187.06/26.60 | (557) sum(n21, n4) = n25 % 187.06/26.60 | (558) sum(n21, n5) = n0 % 187.06/26.60 | (559) sum(n21, n6) = n1 % 187.06/26.60 | (560) sum(n21, n7) = n2 % 187.06/26.60 | (561) sum(n21, n8) = n3 % 187.06/26.60 | (562) sum(n21, n9) = n4 % 187.06/26.60 | (563) sum(n21, n10) = n5 % 187.06/26.60 | (564) sum(n21, n11) = n6 % 187.06/26.60 | (565) sum(n21, n12) = n7 % 187.06/26.60 | (566) sum(n21, n13) = n8 % 187.06/26.60 | (567) sum(n21, n14) = n9 % 187.06/26.60 | (568) sum(n21, n15) = n10 % 187.06/26.60 | (569) sum(n21, n16) = n11 % 187.06/26.60 | (570) sum(n21, n17) = n12 % 187.06/26.60 | (571) sum(n21, n18) = n13 % 187.06/26.60 | (572) sum(n21, n19) = n14 % 187.06/26.60 | (573) sum(n21, n20) = n15 % 187.06/26.60 | (574) sum(n21, n21) = n16 % 187.06/26.60 | (575) sum(n21, n22) = n17 % 187.06/26.60 | (576) sum(n21, n23) = n18 % 187.06/26.60 | (577) sum(n21, n24) = n19 % 187.06/26.61 | (578) sum(n21, n25) = n20 % 187.06/26.61 | (579) sum(n22, n0) = n22 % 187.06/26.61 | (580) sum(n22, n1) = n23 % 187.06/26.61 | (581) sum(n22, n2) = n24 % 187.06/26.61 | (582) sum(n22, n3) = n25 % 187.06/26.61 | (583) sum(n22, n4) = n0 % 187.06/26.61 | (584) sum(n22, n5) = n1 % 187.06/26.61 | (585) sum(n22, n6) = n2 % 187.06/26.61 | (586) sum(n22, n7) = n3 % 187.06/26.61 | (587) sum(n22, n8) = n4 % 187.06/26.61 | (588) sum(n22, n9) = n5 % 187.06/26.61 | (589) sum(n22, n10) = n6 % 187.06/26.61 | (590) sum(n22, n11) = n7 % 187.06/26.61 | (591) sum(n22, n12) = n8 % 187.06/26.61 | (592) sum(n22, n13) = n9 % 187.06/26.61 | (593) sum(n22, n14) = n10 % 187.06/26.61 | (594) sum(n22, n15) = n11 % 187.06/26.61 | (595) sum(n22, n16) = n12 % 187.06/26.61 | (596) sum(n22, n17) = n13 % 187.06/26.61 | (597) sum(n22, n18) = n14 % 187.06/26.61 | (598) sum(n22, n19) = n15 % 187.06/26.61 | (599) sum(n22, n20) = n16 % 187.06/26.61 | (600) sum(n22, n21) = n17 % 187.06/26.61 | (601) sum(n22, n22) = n18 % 187.06/26.61 | (602) sum(n22, n23) = n19 % 187.06/26.61 | (603) sum(n22, n24) = n20 % 187.06/26.61 | (604) sum(n22, n25) = n21 % 187.06/26.61 | (605) sum(n23, n0) = n23 % 187.06/26.61 | (606) sum(n23, n1) = n24 % 187.06/26.61 | (607) sum(n23, n2) = n25 % 187.06/26.61 | (608) sum(n23, n3) = n0 % 187.06/26.61 | (609) sum(n23, n4) = n1 % 187.06/26.61 | (610) sum(n23, n5) = n2 % 187.06/26.61 | (611) sum(n23, n6) = n3 % 187.06/26.61 | (612) sum(n23, n7) = n4 % 187.06/26.61 | (613) sum(n23, n8) = n5 % 187.06/26.61 | (614) sum(n23, n9) = n6 % 187.06/26.61 | (615) sum(n23, n10) = n7 % 187.06/26.61 | (616) sum(n23, n11) = n8 % 187.06/26.61 | (617) sum(n23, n12) = n9 % 187.06/26.61 | (618) sum(n23, n13) = n10 % 187.06/26.61 | (619) sum(n23, n14) = n11 % 187.06/26.61 | (620) sum(n23, n15) = n12 % 187.06/26.61 | (621) sum(n23, n16) = n13 % 187.06/26.61 | (622) sum(n23, n17) = n14 % 187.06/26.61 | (623) sum(n23, n18) = n15 % 187.06/26.61 | (624) sum(n23, n19) = n16 % 187.06/26.61 | (625) sum(n23, n20) = n17 % 187.06/26.61 | (626) sum(n23, n21) = n18 % 187.06/26.61 | (627) sum(n23, n22) = n19 % 187.06/26.61 | (628) sum(n23, n23) = n20 % 187.06/26.61 | (629) sum(n23, n24) = n21 % 187.06/26.61 | (630) sum(n23, n25) = n22 % 187.06/26.61 | (631) sum(n24, n0) = n24 % 187.06/26.61 | (632) sum(n24, n1) = n25 % 187.06/26.61 | (633) sum(n24, n2) = n0 % 187.06/26.61 | (634) sum(n24, n3) = n1 % 187.06/26.61 | (635) sum(n24, n4) = n2 % 187.06/26.61 | (636) sum(n24, n5) = n3 % 187.06/26.61 | (637) sum(n24, n6) = n4 % 187.06/26.61 | (638) sum(n24, n7) = n5 % 187.06/26.61 | (639) sum(n24, n8) = n6 % 187.06/26.61 | (640) sum(n24, n9) = n7 % 187.06/26.61 | (641) sum(n24, n10) = n8 % 187.06/26.61 | (642) sum(n24, n11) = n9 % 187.06/26.61 | (643) sum(n24, n12) = n10 % 187.06/26.61 | (644) sum(n24, n13) = n11 % 187.06/26.61 | (645) sum(n24, n14) = n12 % 187.06/26.61 | (646) sum(n24, n15) = n13 % 187.06/26.61 | (647) sum(n24, n16) = n14 % 187.06/26.61 | (648) sum(n24, n17) = n15 % 187.06/26.61 | (649) sum(n24, n18) = n16 % 187.06/26.61 | (650) sum(n24, n19) = n17 % 187.06/26.61 | (651) sum(n24, n20) = n18 % 187.06/26.61 | (652) sum(n24, n21) = n19 % 187.06/26.61 | (653) sum(n24, n22) = n20 % 187.06/26.61 | (654) sum(n24, n23) = n21 % 187.06/26.61 | (655) sum(n24, n24) = n22 % 187.06/26.61 | (656) sum(n24, n25) = n23 % 187.06/26.61 | (657) sum(n25, n0) = n25 % 187.06/26.61 | (658) sum(n25, n1) = n0 % 187.06/26.61 | (659) sum(n25, n2) = n1 % 187.06/26.61 | (660) sum(n25, n3) = n2 % 187.06/26.61 | (661) sum(n25, n4) = n3 % 187.06/26.61 | (662) sum(n25, n5) = n4 % 187.06/26.61 | (663) sum(n25, n6) = n5 % 187.06/26.61 | (664) sum(n25, n7) = n6 % 187.06/26.61 | (665) sum(n25, n8) = n7 % 187.06/26.61 | (666) sum(n25, n9) = n8 % 187.06/26.61 | (667) sum(n25, n10) = n9 % 187.06/26.61 | (668) sum(n25, n11) = n10 % 187.06/26.61 | (669) sum(n25, n12) = n11 % 187.06/26.61 | (670) sum(n25, n13) = n12 % 187.06/26.61 | (671) sum(n25, n14) = n13 % 187.06/26.61 | (672) sum(n25, n15) = n14 % 187.06/26.61 | (673) sum(n25, n16) = n15 % 187.06/26.61 | (674) sum(n25, n17) = n16 % 187.06/26.61 | (675) sum(n25, n18) = n17 % 187.06/26.61 | (676) sum(n25, n19) = n18 % 187.06/26.61 | (677) sum(n25, n20) = n19 % 187.06/26.61 | (678) sum(n25, n21) = n20 % 187.06/26.61 | (679) sum(n25, n22) = n21 % 187.06/26.61 | (680) sum(n25, n23) = n22 % 187.06/26.61 | (681) sum(n25, n24) = n23 % 187.06/26.61 | (682) sum(n25, n25) = n24 % 187.06/26.61 | (683) sum(all_4_9, all_4_8) = all_4_7 % 187.06/26.61 | (684) sum(all_4_9, all_4_5) = all_4_2 % 187.06/26.61 | (685) sum(all_4_7, all_4_4) = all_4_3 % 187.06/26.61 | (686) sum(all_4_6, all_4_8) = all_4_1 % 187.06/26.61 | (687) sum(all_4_6, all_4_5) = all_4_4 % 187.06/26.61 | (688) sum(all_4_2, all_4_1) = all_4_0 % 187.06/26.61 | (689) succ(n0) = n1 % 187.06/26.61 | (690) succ(n1) = n2 % 187.06/26.61 | (691) succ(n2) = n3 % 187.06/26.61 | (692) succ(n3) = n4 % 187.06/26.61 | (693) succ(n4) = n5 % 187.06/26.61 | (694) succ(n5) = n6 % 187.06/26.61 | (695) succ(n6) = n7 % 187.06/26.61 | (696) succ(n7) = n8 % 187.06/26.61 | (697) succ(n8) = n9 % 187.06/26.61 | (698) succ(n9) = n10 % 187.06/26.61 | (699) succ(n10) = n11 % 187.06/26.61 | (700) succ(n11) = n12 % 187.06/26.61 | (701) succ(n12) = n13 % 187.06/26.61 | (702) succ(n13) = n14 % 187.06/26.61 | (703) succ(n14) = n15 % 187.06/26.61 | (704) succ(n15) = n16 % 187.06/26.61 | (705) succ(n16) = n17 % 187.06/26.61 | (706) succ(n17) = n18 % 187.06/26.61 | (707) succ(n18) = n19 % 187.06/26.61 | (708) succ(n19) = n20 % 187.06/26.61 | (709) succ(n20) = n21 % 187.06/26.61 | (710) succ(n21) = n22 % 187.06/26.61 | (711) succ(n22) = n23 % 187.06/26.61 | (712) succ(n23) = n24 % 187.06/26.61 | (713) succ(n24) = n25 % 187.06/26.61 | (714) succ(n25) = n0 % 187.06/26.61 | (715) succ(all_4_11) = all_4_5 % 187.06/26.61 | (716) succ(all_4_10) = all_4_8 % 187.06/26.61 | (717) pred(n0) = n25 % 187.06/26.61 | (718) pred(n1) = n0 % 187.06/26.61 | (719) pred(n2) = n1 % 187.06/26.61 | (720) pred(n3) = n2 % 187.06/26.61 | (721) pred(n4) = n3 % 187.06/26.61 | (722) pred(n5) = n4 % 187.06/26.61 | (723) pred(n6) = n5 % 187.06/26.61 | (724) pred(n7) = n6 % 187.06/26.61 | (725) pred(n8) = n7 % 187.06/26.61 | (726) pred(n9) = n8 % 187.06/26.61 | (727) pred(n10) = n9 % 187.06/26.61 | (728) pred(n11) = n10 % 187.06/26.61 | (729) pred(n12) = n11 % 187.06/26.61 | (730) pred(n13) = n12 % 187.06/26.61 | (731) pred(n14) = n13 % 187.06/26.61 | (732) pred(n15) = n14 % 187.06/26.61 | (733) pred(n16) = n15 % 187.06/26.61 | (734) pred(n17) = n16 % 187.06/26.61 | (735) pred(n18) = n17 % 187.06/26.61 | (736) pred(n19) = n18 % 187.06/26.61 | (737) pred(n20) = n19 % 187.06/26.61 | (738) pred(n21) = n20 % 187.06/26.61 | (739) pred(n22) = n21 % 187.06/26.61 | (740) pred(n23) = n22 % 187.06/26.61 | (741) pred(n24) = n23 % 187.06/26.61 | (742) pred(n25) = n24 % 187.06/26.61 | (743) pred(all_4_11) = all_4_9 % 187.06/26.61 | (744) pred(all_4_10) = all_4_6 % 187.06/26.61 | (745) all_4_11 = n25 | all_4_11 = n24 | all_4_11 = n23 | all_4_11 = n22 | % 187.06/26.61 | all_4_11 = n21 | all_4_11 = n20 | all_4_11 = n19 | all_4_11 = n18 | % 187.06/26.61 | all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 187.06/26.61 | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.06/26.61 | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.06/26.61 | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.06/26.61 | all_4_11 = n1 | all_4_11 = n0 % 187.06/26.62 | (746) all_4_10 = n25 | all_4_10 = n24 | all_4_10 = n23 | all_4_10 = n22 | % 187.06/26.62 | all_4_10 = n21 | all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 187.06/26.62 | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.06/26.62 | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.06/26.62 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.06/26.62 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.06/26.62 | all_4_10 = n1 | all_4_10 = n0 % 187.06/26.62 | % 187.06/26.62 | BETA: splitting (745) gives: % 187.06/26.62 | % 187.06/26.62 | Case 1: % 187.06/26.62 | | % 187.06/26.62 | | (747) all_4_11 = n25 % 187.06/26.62 | | % 187.06/26.62 | | REDUCE: (743), (747) imply: % 187.06/26.62 | | (748) pred(n25) = all_4_9 % 187.06/26.62 | | % 187.06/26.62 | | REDUCE: (715), (747) imply: % 187.06/26.62 | | (749) succ(n25) = all_4_5 % 187.06/26.62 | | % 187.06/26.62 | | GROUND_INST: instantiating (2) with n0, all_4_5, n25, simplifying with % 187.06/26.62 | | (714), (749) gives: % 187.06/26.62 | | (750) all_4_5 = n0 % 187.06/26.62 | | % 187.06/26.62 | | GROUND_INST: instantiating (3) with n24, all_4_9, n25, simplifying with % 187.06/26.62 | | (742), (748) gives: % 187.06/26.62 | | (751) all_4_9 = n24 % 187.06/26.62 | | % 187.06/26.62 | | REDUCE: (687), (750) imply: % 187.06/26.62 | | (752) sum(all_4_6, n0) = all_4_4 % 187.06/26.62 | | % 187.06/26.62 | | REDUCE: (684), (750), (751) imply: % 187.06/26.62 | | (753) sum(n24, n0) = all_4_2 % 187.06/26.62 | | % 187.06/26.62 | | REDUCE: (683), (751) imply: % 187.06/26.62 | | (754) sum(n24, all_4_8) = all_4_7 % 187.06/26.62 | | % 187.06/26.62 | | GROUND_INST: instantiating (4) with n24, all_4_2, n0, n24, simplifying with % 187.06/26.62 | | (631), (753) gives: % 187.06/26.62 | | (755) all_4_2 = n24 % 187.06/26.62 | | % 187.06/26.62 | | REDUCE: (688), (755) imply: % 187.06/26.62 | | (756) sum(n24, all_4_1) = all_4_0 % 187.06/26.62 | | % 187.06/26.62 | | BETA: splitting (746) gives: % 187.06/26.62 | | % 187.06/26.62 | | Case 1: % 187.06/26.62 | | | % 187.06/26.62 | | | (757) all_4_10 = n25 % 187.06/26.62 | | | % 187.06/26.62 | | | REDUCE: (744), (757) imply: % 187.06/26.62 | | | (758) pred(n25) = all_4_6 % 187.06/26.62 | | | % 187.06/26.62 | | | REDUCE: (716), (757) imply: % 187.06/26.62 | | | (759) succ(n25) = all_4_8 % 187.06/26.62 | | | % 187.06/26.62 | | | GROUND_INST: instantiating (2) with n0, all_4_8, n25, simplifying with % 187.06/26.62 | | | (714), (759) gives: % 187.06/26.62 | | | (760) all_4_8 = n0 % 187.06/26.62 | | | % 187.06/26.62 | | | GROUND_INST: instantiating (3) with n24, all_4_6, n25, simplifying with % 187.06/26.62 | | | (742), (758) gives: % 187.06/26.62 | | | (761) all_4_6 = n24 % 187.06/26.62 | | | % 187.06/26.62 | | | REDUCE: (686), (760), (761) imply: % 187.06/26.62 | | | (762) sum(n24, n0) = all_4_1 % 187.06/26.62 | | | % 187.06/26.62 | | | REDUCE: (752), (761) imply: % 187.06/26.62 | | | (763) sum(n24, n0) = all_4_4 % 187.06/26.62 | | | % 187.06/26.62 | | | REDUCE: (754), (760) imply: % 187.06/26.62 | | | (764) sum(n24, n0) = all_4_7 % 187.06/26.62 | | | % 187.06/26.62 | | | GROUND_INST: instantiating (4) with n24, all_4_4, n0, n24, simplifying % 187.06/26.62 | | | with (631), (763) gives: % 187.06/26.62 | | | (765) all_4_4 = n24 % 187.06/26.62 | | | % 187.06/26.62 | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n0, n24, simplifying % 187.06/26.62 | | | with (762), (763) gives: % 187.06/26.62 | | | (766) all_4_1 = all_4_4 % 187.06/26.62 | | | % 187.06/26.62 | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n0, n24, simplifying % 187.06/26.62 | | | with (762), (764) gives: % 187.06/26.62 | | | (767) all_4_1 = all_4_7 % 187.06/26.62 | | | % 187.06/26.62 | | | REF_CLOSE: (4), (6), (655), (685), (756), (765), (766), (767) are % 187.06/26.62 | | | inconsistent by sub-proof #338. % 187.06/26.62 | | | % 187.06/26.62 | | Case 2: % 187.06/26.62 | | | % 187.06/26.62 | | | (768) all_4_10 = n24 | all_4_10 = n23 | all_4_10 = n22 | all_4_10 = n21 % 187.06/26.62 | | | | all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | all_4_10 = % 187.06/26.62 | | | n17 | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | all_4_10 % 187.06/26.62 | | | = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.06/26.62 | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.06/26.62 | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.06/26.62 | | | all_4_10 = n1 | all_4_10 = n0 % 187.06/26.62 | | | % 187.06/26.62 | | | BETA: splitting (768) gives: % 187.06/26.62 | | | % 187.06/26.63 | | | Case 1: % 187.06/26.63 | | | | % 187.06/26.63 | | | | (769) all_4_10 = n24 % 187.06/26.63 | | | | % 187.06/26.63 | | | | REDUCE: (744), (769) imply: % 187.06/26.63 | | | | (770) pred(n24) = all_4_6 % 187.06/26.63 | | | | % 187.06/26.63 | | | | REDUCE: (716), (769) imply: % 187.06/26.63 | | | | (771) succ(n24) = all_4_8 % 187.06/26.63 | | | | % 187.06/26.63 | | | | GROUND_INST: instantiating (2) with n25, all_4_8, n24, simplifying with % 187.06/26.63 | | | | (713), (771) gives: % 187.06/26.63 | | | | (772) all_4_8 = n25 % 187.06/26.63 | | | | % 187.06/26.63 | | | | GROUND_INST: instantiating (3) with n23, all_4_6, n24, simplifying with % 187.06/26.63 | | | | (741), (770) gives: % 187.06/26.63 | | | | (773) all_4_6 = n23 % 187.06/26.63 | | | | % 187.06/26.63 | | | | REDUCE: (686), (772), (773) imply: % 187.06/26.63 | | | | (774) sum(n23, n25) = all_4_1 % 187.06/26.63 | | | | % 187.06/26.63 | | | | REDUCE: (752), (773) imply: % 187.06/26.63 | | | | (775) sum(n23, n0) = all_4_4 % 187.06/26.63 | | | | % 187.06/26.63 | | | | REDUCE: (754), (772) imply: % 187.06/26.63 | | | | (776) sum(n24, n25) = all_4_7 % 187.06/26.63 | | | | % 187.06/26.63 | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n0, n23, simplifying % 187.06/26.63 | | | | with (605), (775) gives: % 187.06/26.63 | | | | (777) all_4_4 = n23 % 187.06/26.63 | | | | % 187.06/26.63 | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n25, n23, simplifying % 187.06/26.63 | | | | with (630), (774) gives: % 187.06/26.63 | | | | (778) all_4_1 = n22 % 187.06/26.63 | | | | % 187.06/26.63 | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n25, n24, simplifying % 187.06/26.63 | | | | with (656), (776) gives: % 187.06/26.63 | | | | (779) all_4_7 = n23 % 187.06/26.63 | | | | % 187.06/26.63 | | | | REF_CLOSE: (4), (6), (628), (653), (685), (756), (777), (778), (779) are % 187.06/26.63 | | | | inconsistent by sub-proof #337. % 187.06/26.63 | | | | % 187.06/26.63 | | | Case 2: % 187.06/26.63 | | | | % 187.06/26.63 | | | | (780) all_4_10 = n23 | all_4_10 = n22 | all_4_10 = n21 | all_4_10 = % 187.06/26.63 | | | | n20 | all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.06/26.63 | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = % 187.06/26.63 | | | | n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.06/26.63 | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.06/26.63 | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.06/26.63 | | | | all_4_10 = n1 | all_4_10 = n0 % 187.06/26.63 | | | | % 187.06/26.63 | | | | BETA: splitting (780) gives: % 187.06/26.63 | | | | % 187.06/26.63 | | | | Case 1: % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | (781) all_4_10 = n23 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | REDUCE: (744), (781) imply: % 187.06/26.63 | | | | | (782) pred(n23) = all_4_6 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | REDUCE: (716), (781) imply: % 187.06/26.63 | | | | | (783) succ(n23) = all_4_8 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | GROUND_INST: instantiating (2) with n24, all_4_8, n23, simplifying % 187.06/26.63 | | | | | with (712), (783) gives: % 187.06/26.63 | | | | | (784) all_4_8 = n24 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | GROUND_INST: instantiating (3) with n22, all_4_6, n23, simplifying % 187.06/26.63 | | | | | with (740), (782) gives: % 187.06/26.63 | | | | | (785) all_4_6 = n22 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | REDUCE: (686), (784), (785) imply: % 187.06/26.63 | | | | | (786) sum(n22, n24) = all_4_1 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | REDUCE: (752), (785) imply: % 187.06/26.63 | | | | | (787) sum(n22, n0) = all_4_4 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | REDUCE: (754), (784) imply: % 187.06/26.63 | | | | | (788) sum(n24, n24) = all_4_7 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n0, n22, simplifying % 187.06/26.63 | | | | | with (579), (787) gives: % 187.06/26.63 | | | | | (789) all_4_4 = n22 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n24, n22, % 187.06/26.63 | | | | | simplifying with (603), (786) gives: % 187.06/26.63 | | | | | (790) all_4_1 = n20 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n24, n24, % 187.06/26.63 | | | | | simplifying with (655), (788) gives: % 187.06/26.63 | | | | | (791) all_4_7 = n22 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | REF_CLOSE: (4), (6), (601), (651), (685), (756), (789), (790), (791) % 187.06/26.63 | | | | | are inconsistent by sub-proof #336. % 187.06/26.63 | | | | | % 187.06/26.63 | | | | Case 2: % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | (792) all_4_10 = n22 | all_4_10 = n21 | all_4_10 = n20 | all_4_10 = % 187.06/26.63 | | | | | n19 | all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 187.06/26.63 | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = % 187.06/26.63 | | | | | n12 | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.06/26.63 | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 % 187.06/26.63 | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = % 187.06/26.63 | | | | | n1 | all_4_10 = n0 % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | BETA: splitting (792) gives: % 187.06/26.63 | | | | | % 187.06/26.63 | | | | | Case 1: % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | (793) all_4_10 = n22 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | REDUCE: (744), (793) imply: % 187.06/26.63 | | | | | | (794) pred(n22) = all_4_6 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | REDUCE: (716), (793) imply: % 187.06/26.63 | | | | | | (795) succ(n22) = all_4_8 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | GROUND_INST: instantiating (2) with n23, all_4_8, n22, simplifying % 187.06/26.63 | | | | | | with (711), (795) gives: % 187.06/26.63 | | | | | | (796) all_4_8 = n23 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | GROUND_INST: instantiating (3) with n21, all_4_6, n22, simplifying % 187.06/26.63 | | | | | | with (739), (794) gives: % 187.06/26.63 | | | | | | (797) all_4_6 = n21 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | REDUCE: (686), (796), (797) imply: % 187.06/26.63 | | | | | | (798) sum(n21, n23) = all_4_1 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | REDUCE: (752), (797) imply: % 187.06/26.63 | | | | | | (799) sum(n21, n0) = all_4_4 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | REDUCE: (754), (796) imply: % 187.06/26.63 | | | | | | (800) sum(n24, n23) = all_4_7 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n0, n21, % 187.06/26.63 | | | | | | simplifying with (553), (799) gives: % 187.06/26.63 | | | | | | (801) all_4_4 = n21 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n23, n21, % 187.06/26.63 | | | | | | simplifying with (576), (798) gives: % 187.06/26.63 | | | | | | (802) all_4_1 = n18 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n23, n24, % 187.06/26.63 | | | | | | simplifying with (654), (800) gives: % 187.06/26.63 | | | | | | (803) all_4_7 = n21 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | REF_CLOSE: (4), (6), (574), (649), (685), (756), (801), (802), (803) % 187.06/26.63 | | | | | | are inconsistent by sub-proof #335. % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | Case 2: % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | (804) all_4_10 = n21 | all_4_10 = n20 | all_4_10 = n19 | all_4_10 % 187.06/26.63 | | | | | | = n18 | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 187.06/26.63 | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | all_4_10 % 187.06/26.63 | | | | | | = n11 | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.06/26.63 | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = % 187.06/26.63 | | | | | | n4 | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.06/26.63 | | | | | | all_4_10 = n0 % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | BETA: splitting (804) gives: % 187.06/26.63 | | | | | | % 187.06/26.63 | | | | | | Case 1: % 187.06/26.63 | | | | | | | % 187.06/26.63 | | | | | | | (805) all_4_10 = n21 % 187.06/26.63 | | | | | | | % 187.06/26.63 | | | | | | | REDUCE: (744), (805) imply: % 187.06/26.63 | | | | | | | (806) pred(n21) = all_4_6 % 187.06/26.63 | | | | | | | % 187.06/26.63 | | | | | | | REDUCE: (716), (805) imply: % 187.06/26.63 | | | | | | | (807) succ(n21) = all_4_8 % 187.06/26.63 | | | | | | | % 187.06/26.63 | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_8, n21, simplifying % 187.06/26.63 | | | | | | | with (710), (807) gives: % 187.06/26.64 | | | | | | | (808) all_4_8 = n22 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_6, n21, simplifying % 187.06/26.64 | | | | | | | with (738), (806) gives: % 187.06/26.64 | | | | | | | (809) all_4_6 = n20 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | REDUCE: (686), (808), (809) imply: % 187.06/26.64 | | | | | | | (810) sum(n20, n22) = all_4_1 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | REDUCE: (752), (809) imply: % 187.06/26.64 | | | | | | | (811) sum(n20, n0) = all_4_4 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | REDUCE: (754), (808) imply: % 187.06/26.64 | | | | | | | (812) sum(n24, n22) = all_4_7 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n0, n20, % 187.06/26.64 | | | | | | | simplifying with (527), (811) gives: % 187.06/26.64 | | | | | | | (813) all_4_4 = n20 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n22, n20, % 187.06/26.64 | | | | | | | simplifying with (549), (810) gives: % 187.06/26.64 | | | | | | | (814) all_4_1 = n16 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n22, n24, % 187.06/26.64 | | | | | | | simplifying with (653), (812) gives: % 187.06/26.64 | | | | | | | (815) all_4_7 = n20 % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | REF_CLOSE: (4), (6), (547), (647), (685), (756), (813), (814), % 187.06/26.64 | | | | | | | (815) are inconsistent by sub-proof #334. % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | Case 2: % 187.06/26.64 | | | | | | | % 187.06/26.64 | | | | | | | (816) all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 187.06/26.64 | | | | | | | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 187.06/26.64 | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 187.06/26.64 | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.06/26.64 | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | all_4_10 % 187.28/26.64 | | | | | | | = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.28/26.64 | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.28/26.64 | | | | | | | % 187.28/26.64 | | | | | | | BETA: splitting (816) gives: % 187.28/26.64 | | | | | | | % 187.28/26.64 | | | | | | | Case 1: % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | (817) all_4_10 = n20 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | REDUCE: (744), (817) imply: % 187.28/26.64 | | | | | | | | (818) pred(n20) = all_4_6 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | REDUCE: (716), (817) imply: % 187.28/26.64 | | | | | | | | (819) succ(n20) = all_4_8 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_8, n20, % 187.28/26.64 | | | | | | | | simplifying with (709), (819) gives: % 187.28/26.64 | | | | | | | | (820) all_4_8 = n21 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_6, n20, % 187.28/26.64 | | | | | | | | simplifying with (737), (818) gives: % 187.28/26.64 | | | | | | | | (821) all_4_6 = n19 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | REDUCE: (686), (820), (821) imply: % 187.28/26.64 | | | | | | | | (822) sum(n19, n21) = all_4_1 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | REDUCE: (752), (821) imply: % 187.28/26.64 | | | | | | | | (823) sum(n19, n0) = all_4_4 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | REDUCE: (754), (820) imply: % 187.28/26.64 | | | | | | | | (824) sum(n24, n21) = all_4_7 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n0, n19, % 187.28/26.64 | | | | | | | | simplifying with (501), (823) gives: % 187.28/26.64 | | | | | | | | (825) all_4_4 = n19 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n21, n19, % 187.28/26.64 | | | | | | | | simplifying with (522), (822) gives: % 187.28/26.64 | | | | | | | | (826) all_4_1 = n14 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n21, n24, % 187.28/26.64 | | | | | | | | simplifying with (652), (824) gives: % 187.28/26.64 | | | | | | | | (827) all_4_7 = n19 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | REF_CLOSE: (4), (6), (520), (645), (685), (756), (825), (826), % 187.28/26.64 | | | | | | | | (827) are inconsistent by sub-proof #333. % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | Case 2: % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | (828) all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.28/26.64 | | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.28/26.64 | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.28/26.64 | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.28/26.64 | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.28/26.64 | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.28/26.64 | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | BETA: splitting (828) gives: % 187.28/26.64 | | | | | | | | % 187.28/26.64 | | | | | | | | Case 1: % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | (829) all_4_10 = n19 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | REDUCE: (744), (829) imply: % 187.28/26.64 | | | | | | | | | (830) pred(n19) = all_4_6 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | REDUCE: (716), (829) imply: % 187.28/26.64 | | | | | | | | | (831) succ(n19) = all_4_8 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 187.28/26.64 | | | | | | | | | simplifying with (708), (831) gives: % 187.28/26.64 | | | | | | | | | (832) all_4_8 = n20 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 187.28/26.64 | | | | | | | | | simplifying with (736), (830) gives: % 187.28/26.64 | | | | | | | | | (833) all_4_6 = n18 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | REDUCE: (686), (832), (833) imply: % 187.28/26.64 | | | | | | | | | (834) sum(n18, n20) = all_4_1 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | REDUCE: (752), (833) imply: % 187.28/26.64 | | | | | | | | | (835) sum(n18, n0) = all_4_4 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | REDUCE: (754), (832) imply: % 187.28/26.64 | | | | | | | | | (836) sum(n24, n20) = all_4_7 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n0, n18, % 187.28/26.64 | | | | | | | | | simplifying with (475), (835) gives: % 187.28/26.64 | | | | | | | | | (837) all_4_4 = n18 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n20, n18, % 187.28/26.64 | | | | | | | | | simplifying with (495), (834) gives: % 187.28/26.64 | | | | | | | | | (838) all_4_1 = n12 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n20, n24, % 187.28/26.64 | | | | | | | | | simplifying with (651), (836) gives: % 187.28/26.64 | | | | | | | | | (839) all_4_7 = n18 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | REF_CLOSE: (4), (6), (493), (643), (685), (756), (837), (838), % 187.28/26.64 | | | | | | | | | (839) are inconsistent by sub-proof #332. % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | Case 2: % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | (840) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 187.28/26.64 | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 187.28/26.64 | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.28/26.64 | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.28/26.64 | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.28/26.64 | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.28/26.64 | | | | | | | | | all_4_10 = n0 % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | BETA: splitting (840) gives: % 187.28/26.64 | | | | | | | | | % 187.28/26.64 | | | | | | | | | Case 1: % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | (841) all_4_10 = n18 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | REDUCE: (744), (841) imply: % 187.28/26.64 | | | | | | | | | | (842) pred(n18) = all_4_6 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | REDUCE: (716), (841) imply: % 187.28/26.64 | | | | | | | | | | (843) succ(n18) = all_4_8 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 187.28/26.64 | | | | | | | | | | simplifying with (707), (843) gives: % 187.28/26.64 | | | | | | | | | | (844) all_4_8 = n19 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 187.28/26.64 | | | | | | | | | | simplifying with (735), (842) gives: % 187.28/26.64 | | | | | | | | | | (845) all_4_6 = n17 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | REDUCE: (686), (844), (845) imply: % 187.28/26.64 | | | | | | | | | | (846) sum(n17, n19) = all_4_1 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | REDUCE: (752), (845) imply: % 187.28/26.64 | | | | | | | | | | (847) sum(n17, n0) = all_4_4 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | REDUCE: (754), (844) imply: % 187.28/26.64 | | | | | | | | | | (848) sum(n24, n19) = all_4_7 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n0, n17, % 187.28/26.64 | | | | | | | | | | simplifying with (449), (847) gives: % 187.28/26.64 | | | | | | | | | | (849) all_4_4 = n17 % 187.28/26.64 | | | | | | | | | | % 187.28/26.64 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 187.31/26.64 | | | | | | | | | | simplifying with (468), (846) gives: % 187.31/26.64 | | | | | | | | | | (850) all_4_1 = n10 % 187.31/26.64 | | | | | | | | | | % 187.31/26.64 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n19, n24, % 187.31/26.64 | | | | | | | | | | simplifying with (650), (848) gives: % 187.31/26.64 | | | | | | | | | | (851) all_4_7 = n17 % 187.31/26.64 | | | | | | | | | | % 187.31/26.64 | | | | | | | | | | REF_CLOSE: (4), (6), (466), (641), (685), (756), (849), % 187.31/26.64 | | | | | | | | | | (850), (851) are inconsistent by sub-proof #331. % 187.31/26.64 | | | | | | | | | | % 187.31/26.65 | | | | | | | | | Case 2: % 187.31/26.65 | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | (852) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 187.31/26.65 | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 187.31/26.65 | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.31/26.65 | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.31/26.65 | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.31/26.65 | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.65 | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | BETA: splitting (852) gives: % 187.31/26.65 | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | Case 1: % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | (853) all_4_10 = n17 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | REDUCE: (744), (853) imply: % 187.31/26.65 | | | | | | | | | | | (854) pred(n17) = all_4_6 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | REDUCE: (716), (853) imply: % 187.31/26.65 | | | | | | | | | | | (855) succ(n17) = all_4_8 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 187.31/26.65 | | | | | | | | | | | simplifying with (706), (855) gives: % 187.31/26.65 | | | | | | | | | | | (856) all_4_8 = n18 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 187.31/26.65 | | | | | | | | | | | simplifying with (734), (854) gives: % 187.31/26.65 | | | | | | | | | | | (857) all_4_6 = n16 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | REDUCE: (686), (856), (857) imply: % 187.31/26.65 | | | | | | | | | | | (858) sum(n16, n18) = all_4_1 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | REDUCE: (752), (857) imply: % 187.31/26.65 | | | | | | | | | | | (859) sum(n16, n0) = all_4_4 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | REDUCE: (754), (856) imply: % 187.31/26.65 | | | | | | | | | | | (860) sum(n24, n18) = all_4_7 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n0, n16, % 187.31/26.65 | | | | | | | | | | | simplifying with (423), (859) gives: % 187.31/26.65 | | | | | | | | | | | (861) all_4_4 = n16 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 187.31/26.65 | | | | | | | | | | | simplifying with (441), (858) gives: % 187.31/26.65 | | | | | | | | | | | (862) all_4_1 = n8 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n18, n24, % 187.31/26.65 | | | | | | | | | | | simplifying with (649), (860) gives: % 187.31/26.65 | | | | | | | | | | | (863) all_4_7 = n16 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (639), (685), (756), (861), % 187.31/26.65 | | | | | | | | | | | (862), (863) are inconsistent by sub-proof #330. % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | Case 2: % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | (864) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.31/26.65 | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.31/26.65 | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.31/26.65 | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.31/26.65 | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.31/26.65 | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | BETA: splitting (864) gives: % 187.31/26.65 | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | Case 1: % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | (865) all_4_10 = n16 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | REDUCE: (744), (865) imply: % 187.31/26.65 | | | | | | | | | | | | (866) pred(n16) = all_4_6 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | REDUCE: (716), (865) imply: % 187.31/26.65 | | | | | | | | | | | | (867) succ(n16) = all_4_8 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 187.31/26.65 | | | | | | | | | | | | simplifying with (705), (867) gives: % 187.31/26.65 | | | | | | | | | | | | (868) all_4_8 = n17 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 187.31/26.65 | | | | | | | | | | | | simplifying with (733), (866) gives: % 187.31/26.65 | | | | | | | | | | | | (869) all_4_6 = n15 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | REDUCE: (686), (868), (869) imply: % 187.31/26.65 | | | | | | | | | | | | (870) sum(n15, n17) = all_4_1 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | REDUCE: (752), (869) imply: % 187.31/26.65 | | | | | | | | | | | | (871) sum(n15, n0) = all_4_4 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | REDUCE: (754), (868) imply: % 187.31/26.65 | | | | | | | | | | | | (872) sum(n24, n17) = all_4_7 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n0, n15, % 187.31/26.65 | | | | | | | | | | | | simplifying with (397), (871) gives: % 187.31/26.65 | | | | | | | | | | | | (873) all_4_4 = n15 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 187.31/26.65 | | | | | | | | | | | | simplifying with (414), (870) gives: % 187.31/26.65 | | | | | | | | | | | | (874) all_4_1 = n6 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n17, n24, % 187.31/26.65 | | | | | | | | | | | | simplifying with (648), (872) gives: % 187.31/26.65 | | | | | | | | | | | | (875) all_4_7 = n15 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (637), (685), (756), (873), % 187.31/26.65 | | | | | | | | | | | | (874), (875) are inconsistent by sub-proof #329. % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | Case 2: % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | (876) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 187.31/26.65 | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.31/26.65 | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.31/26.65 | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.31/26.65 | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.31/26.65 | | | | | | | | | | | | all_4_10 = n0 % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | BETA: splitting (876) gives: % 187.31/26.65 | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | Case 1: % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | (877) all_4_10 = n15 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | REDUCE: (744), (877) imply: % 187.31/26.65 | | | | | | | | | | | | | (878) pred(n15) = all_4_6 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | REDUCE: (716), (877) imply: % 187.31/26.65 | | | | | | | | | | | | | (879) succ(n15) = all_4_8 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 187.31/26.65 | | | | | | | | | | | | | simplifying with (704), (879) gives: % 187.31/26.65 | | | | | | | | | | | | | (880) all_4_8 = n16 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 187.31/26.65 | | | | | | | | | | | | | simplifying with (732), (878) gives: % 187.31/26.65 | | | | | | | | | | | | | (881) all_4_6 = n14 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | REDUCE: (686), (880), (881) imply: % 187.31/26.65 | | | | | | | | | | | | | (882) sum(n14, n16) = all_4_1 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | REDUCE: (752), (881) imply: % 187.31/26.65 | | | | | | | | | | | | | (883) sum(n14, n0) = all_4_4 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | REDUCE: (754), (880) imply: % 187.31/26.65 | | | | | | | | | | | | | (884) sum(n24, n16) = all_4_7 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n0, n14, % 187.31/26.65 | | | | | | | | | | | | | simplifying with (371), (883) gives: % 187.31/26.65 | | | | | | | | | | | | | (885) all_4_4 = n14 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 187.31/26.65 | | | | | | | | | | | | | simplifying with (387), (882) gives: % 187.31/26.65 | | | | | | | | | | | | | (886) all_4_1 = n4 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n16, n24, % 187.31/26.65 | | | | | | | | | | | | | simplifying with (647), (884) gives: % 187.31/26.65 | | | | | | | | | | | | | (887) all_4_7 = n14 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (635), (685), (756), (885), % 187.31/26.65 | | | | | | | | | | | | | (886), (887) are inconsistent by sub-proof #328. % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | Case 2: % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | (888) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 187.31/26.65 | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.31/26.65 | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.31/26.65 | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.31/26.65 | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | BETA: splitting (888) gives: % 187.31/26.65 | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | Case 1: % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | (889) all_4_10 = n14 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | REDUCE: (744), (889) imply: % 187.31/26.65 | | | | | | | | | | | | | | (890) pred(n14) = all_4_6 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | REDUCE: (716), (889) imply: % 187.31/26.65 | | | | | | | | | | | | | | (891) succ(n14) = all_4_8 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 187.31/26.65 | | | | | | | | | | | | | | simplifying with (703), (891) gives: % 187.31/26.65 | | | | | | | | | | | | | | (892) all_4_8 = n15 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 187.31/26.65 | | | | | | | | | | | | | | simplifying with (731), (890) gives: % 187.31/26.65 | | | | | | | | | | | | | | (893) all_4_6 = n13 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | REDUCE: (686), (892), (893) imply: % 187.31/26.65 | | | | | | | | | | | | | | (894) sum(n13, n15) = all_4_1 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | REDUCE: (752), (893) imply: % 187.31/26.65 | | | | | | | | | | | | | | (895) sum(n13, n0) = all_4_4 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | REDUCE: (754), (892) imply: % 187.31/26.65 | | | | | | | | | | | | | | (896) sum(n24, n15) = all_4_7 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n0, n13, % 187.31/26.65 | | | | | | | | | | | | | | simplifying with (345), (895) gives: % 187.31/26.65 | | | | | | | | | | | | | | (897) all_4_4 = n13 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 187.31/26.65 | | | | | | | | | | | | | | simplifying with (360), (894) gives: % 187.31/26.65 | | | | | | | | | | | | | | (898) all_4_1 = n2 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n15, n24, % 187.31/26.65 | | | | | | | | | | | | | | simplifying with (646), (896) gives: % 187.31/26.65 | | | | | | | | | | | | | | (899) all_4_7 = n13 % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.65 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (633), (685), (756), (897), % 187.31/26.65 | | | | | | | | | | | | | | (898), (899) are inconsistent by sub-proof #327. % 187.31/26.65 | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | Case 2: % 187.31/26.66 | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | (900) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.31/26.66 | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.31/26.66 | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.31/26.66 | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.31/26.66 | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.66 | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | BETA: splitting (900) gives: % 187.31/26.66 | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | Case 1: % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | (901) all_4_10 = n13 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | REDUCE: (744), (901) imply: % 187.31/26.66 | | | | | | | | | | | | | | | (902) pred(n13) = all_4_6 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | REDUCE: (716), (901) imply: % 187.31/26.66 | | | | | | | | | | | | | | | (903) succ(n13) = all_4_8 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 187.31/26.66 | | | | | | | | | | | | | | | simplifying with (702), (903) gives: % 187.31/26.66 | | | | | | | | | | | | | | | (904) all_4_8 = n14 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 187.31/26.66 | | | | | | | | | | | | | | | simplifying with (730), (902) gives: % 187.31/26.66 | | | | | | | | | | | | | | | (905) all_4_6 = n12 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | REDUCE: (686), (904), (905) imply: % 187.31/26.66 | | | | | | | | | | | | | | | (906) sum(n12, n14) = all_4_1 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | REDUCE: (752), (905) imply: % 187.31/26.66 | | | | | | | | | | | | | | | (907) sum(n12, n0) = all_4_4 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | REDUCE: (754), (904) imply: % 187.31/26.66 | | | | | | | | | | | | | | | (908) sum(n24, n14) = all_4_7 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n0, n12, % 187.31/26.66 | | | | | | | | | | | | | | | simplifying with (319), (907) gives: % 187.31/26.66 | | | | | | | | | | | | | | | (909) all_4_4 = n12 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 187.31/26.66 | | | | | | | | | | | | | | | simplifying with (333), (906) gives: % 187.31/26.66 | | | | | | | | | | | | | | | (910) all_4_1 = n0 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n14, n24, % 187.31/26.66 | | | | | | | | | | | | | | | simplifying with (645), (908) gives: % 187.31/26.66 | | | | | | | | | | | | | | | (911) all_4_7 = n12 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (631), (685), (756), (909), % 187.31/26.66 | | | | | | | | | | | | | | | (910), (911) are inconsistent by sub-proof #326. % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | Case 2: % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | (912) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.31/26.66 | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.31/26.66 | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.31/26.66 | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.31/26.66 | | | | | | | | | | | | | | | all_4_10 = n0 % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | BETA: splitting (912) gives: % 187.31/26.66 | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | Case 1: % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | (913) all_4_10 = n12 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REDUCE: (744), (913) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | (914) pred(n12) = all_4_6 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REDUCE: (716), (913) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | (915) succ(n12) = all_4_8 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 187.31/26.66 | | | | | | | | | | | | | | | | simplifying with (701), (915) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | (916) all_4_8 = n13 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 187.31/26.66 | | | | | | | | | | | | | | | | simplifying with (729), (914) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | (917) all_4_6 = n11 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REDUCE: (686), (916), (917) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | (918) sum(n11, n13) = all_4_1 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REDUCE: (752), (917) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | (919) sum(n11, n0) = all_4_4 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REDUCE: (754), (916) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | (920) sum(n24, n13) = all_4_7 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n0, n11, % 187.31/26.66 | | | | | | | | | | | | | | | | simplifying with (293), (919) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | (921) all_4_4 = n11 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 187.31/26.66 | | | | | | | | | | | | | | | | simplifying with (306), (918) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | (922) all_4_1 = n24 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n13, n24, % 187.31/26.66 | | | | | | | | | | | | | | | | simplifying with (644), (920) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | (923) all_4_7 = n11 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REDUCE: (685), (921), (923) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | (924) sum(n11, n11) = all_4_3 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REDUCE: (756), (922) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | (925) sum(n24, n24) = all_4_0 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (655), (924), (925) are % 187.31/26.66 | | | | | | | | | | | | | | | | inconsistent by sub-proof #325. % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | Case 2: % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | (926) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.31/26.66 | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.31/26.66 | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.31/26.66 | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | BETA: splitting (926) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | Case 1: % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | (927) all_4_10 = n11 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REDUCE: (744), (927) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | (928) pred(n11) = all_4_6 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REDUCE: (716), (927) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | (929) succ(n11) = all_4_8 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 187.31/26.66 | | | | | | | | | | | | | | | | | simplifying with (700), (929) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | (930) all_4_8 = n12 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 187.31/26.66 | | | | | | | | | | | | | | | | | simplifying with (728), (928) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | (931) all_4_6 = n10 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REDUCE: (686), (930), (931) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | (932) sum(n10, n12) = all_4_1 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REDUCE: (752), (931) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | (933) sum(n10, n0) = all_4_4 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REDUCE: (754), (930) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | (934) sum(n24, n12) = all_4_7 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n0, n10, % 187.31/26.66 | | | | | | | | | | | | | | | | | simplifying with (267), (933) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | (935) all_4_4 = n10 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 187.31/26.66 | | | | | | | | | | | | | | | | | simplifying with (279), (932) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | (936) all_4_1 = n22 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n12, n24, % 187.31/26.66 | | | | | | | | | | | | | | | | | simplifying with (643), (934) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | (937) all_4_7 = n10 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REDUCE: (685), (935), (937) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | (938) sum(n10, n10) = all_4_3 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REDUCE: (756), (936) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | (939) sum(n24, n22) = all_4_0 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (653), (938), (939) are % 187.31/26.66 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #324. % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | Case 2: % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | (940) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.31/26.66 | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.31/26.66 | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.31/26.66 | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | BETA: splitting (940) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | (941) all_4_10 = n10 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (744), (941) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (942) pred(n10) = all_4_6 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (716), (941) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (943) succ(n10) = all_4_8 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 187.31/26.66 | | | | | | | | | | | | | | | | | | simplifying with (699), (943) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (944) all_4_8 = n11 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 187.31/26.66 | | | | | | | | | | | | | | | | | | simplifying with (727), (942) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (945) all_4_6 = n9 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (686), (944), (945) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (946) sum(n9, n11) = all_4_1 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (752), (945) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (947) sum(n9, n0) = all_4_4 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (754), (944) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (948) sum(n24, n11) = all_4_7 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n0, n9, % 187.31/26.66 | | | | | | | | | | | | | | | | | | simplifying with (241), (947) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (949) all_4_4 = n9 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 187.31/26.66 | | | | | | | | | | | | | | | | | | simplifying with (252), (946) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (950) all_4_1 = n20 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n11, n24, % 187.31/26.66 | | | | | | | | | | | | | | | | | | simplifying with (642), (948) gives: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (951) all_4_7 = n9 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (685), (949), (951) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (952) sum(n9, n9) = all_4_3 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (756), (950) imply: % 187.31/26.66 | | | | | | | | | | | | | | | | | | (953) sum(n24, n20) = all_4_0 % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (651), (952), (953) are % 187.31/26.66 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323. % 187.31/26.66 | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.67 | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | (954) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | BETA: splitting (954) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (955) all_4_10 = n9 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (955) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (956) pred(n9) = all_4_6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (955) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (957) succ(n9) = all_4_8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | simplifying with (698), (957) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (958) all_4_8 = n10 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | simplifying with (726), (956) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (959) all_4_6 = n8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (958), (959) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (960) sum(n8, n10) = all_4_1 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (752), (959) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (961) sum(n8, n0) = all_4_4 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (754), (958) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (962) sum(n24, n10) = all_4_7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n0, n8, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | simplifying with (215), (961) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (963) all_4_4 = n8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | simplifying with (225), (960) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (964) all_4_1 = n18 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n10, n24, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | simplifying with (641), (962) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (965) all_4_7 = n8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (963), (965) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (966) sum(n8, n8) = all_4_3 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (756), (964) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (967) sum(n24, n18) = all_4_0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (649), (966), (967) are % 187.31/26.67 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #322. % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | (968) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (968) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (969) all_4_10 = n8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (969) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (970) pred(n8) = all_4_6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (969) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (971) succ(n8) = all_4_8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | simplifying with (697), (971) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (972) all_4_8 = n9 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | simplifying with (725), (970) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (973) all_4_6 = n7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (972), (973) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (974) sum(n7, n9) = all_4_1 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (973) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (975) sum(n7, n0) = all_4_4 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (972) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (976) sum(n24, n9) = all_4_7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n0, n7, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (975) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (977) all_4_4 = n7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | simplifying with (198), (974) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (978) all_4_1 = n16 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n9, n24, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | simplifying with (640), (976) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (979) all_4_7 = n7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (977), (979) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (980) sum(n7, n7) = all_4_3 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (978) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (981) sum(n24, n16) = all_4_0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (647), (980), (981) are % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #321. % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | (982) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (982) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (983) all_4_10 = n7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (983) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (984) pred(n7) = all_4_6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (983) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (985) succ(n7) = all_4_8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (985) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (986) all_4_8 = n8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (984) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (987) all_4_6 = n6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (986), (987) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (988) sum(n6, n8) = all_4_1 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (987) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (989) sum(n6, n0) = all_4_4 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (986) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (990) sum(n24, n8) = all_4_7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n0, n6, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | simplifying with (163), (989) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (991) all_4_4 = n6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (988) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (992) all_4_1 = n14 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n8, n24, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | simplifying with (639), (990) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (993) all_4_7 = n6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (991), (993) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (994) sum(n6, n6) = all_4_3 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (992) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (995) sum(n24, n14) = all_4_0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (645), (994), (995) are % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #320. % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | (996) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (996) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (997) all_4_10 = n6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (997) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (998) pred(n6) = all_4_6 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (997) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (999) succ(n6) = all_4_8 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (999) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1000) all_4_8 = n7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (998) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1001) all_4_6 = n5 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1000), (1001) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1002) sum(n5, n7) = all_4_1 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1001) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1003) sum(n5, n0) = all_4_4 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (1000) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1004) sum(n24, n7) = all_4_7 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n0, n5, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | simplifying with (137), (1003) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1005) all_4_4 = n5 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (1002) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1006) all_4_1 = n12 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n7, n24, % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | simplifying with (638), (1004) gives: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1007) all_4_7 = n5 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1005), (1007) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1008) sum(n5, n5) = all_4_3 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1006) imply: % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | (1009) sum(n24, n12) = all_4_0 % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (643), (1008), (1009) are % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #319. % 187.31/26.67 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | (1010) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1010) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1011) all_4_10 = n5 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1011) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1012) pred(n5) = all_4_6 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1011) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1013) succ(n5) = all_4_8 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (1013) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1014) all_4_8 = n6 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (1012) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1015) all_4_6 = n4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1014), (1015) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1016) sum(n4, n6) = all_4_1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1015) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1017) sum(n4, n0) = all_4_4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (1014) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1018) sum(n24, n6) = all_4_7 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n0, n4, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (111), (1017) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1019) all_4_4 = n4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (1016) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1020) all_4_1 = n10 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n6, n24, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (637), (1018) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1021) all_4_7 = n4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1019), (1021) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1022) sum(n4, n4) = all_4_3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1020) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1023) sum(n24, n10) = all_4_0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (641), (1022), (1023) are % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #318. % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | (1024) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1024) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_4_10 = n4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1025) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1026) pred(n4) = all_4_6 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1025) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1027) succ(n4) = all_4_8 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (1027) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_4_8 = n5 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (1026) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_4_6 = n3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1028), (1029) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1030) sum(n3, n5) = all_4_1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1029) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1031) sum(n3, n0) = all_4_4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (1028) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1032) sum(n24, n5) = all_4_7 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n0, n3, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (85), (1031) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_4_4 = n3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (1030) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_4_1 = n8 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n5, n24, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (636), (1032) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_4_7 = n3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1033), (1035) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1036) sum(n3, n3) = all_4_3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1034) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1037) sum(n24, n8) = all_4_0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (639), (1036), (1037) are % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #317. % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1038) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_4_10 = n3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1039) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1040) pred(n3) = all_4_6 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1039) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1041) succ(n3) = all_4_8 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (1041) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_4_8 = n4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (1040) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_4_6 = n2 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1042), (1043) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1044) sum(n2, n4) = all_4_1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1043) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1045) sum(n2, n0) = all_4_4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (1042) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1046) sum(n24, n4) = all_4_7 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n0, n2, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (59), (1045) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1047) all_4_4 = n2 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (1044) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_4_1 = n6 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n4, n24, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (635), (1046) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_4_7 = n2 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1047), (1049) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1050) sum(n2, n2) = all_4_3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1048) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1051) sum(n24, n6) = all_4_0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (637), (1050), (1051) are % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316. % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1052) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_4_10 = n2 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1053) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) pred(n2) = all_4_6 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1053) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) succ(n2) = all_4_8 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (1055) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_4_8 = n3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (1054) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_4_6 = n1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1056), (1057) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) sum(n1, n3) = all_4_1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1057) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) sum(n1, n0) = all_4_4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (1056) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) sum(n24, n3) = all_4_7 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n0, n1, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (1059) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_4_4 = n1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (1058) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_4_1 = n4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n3, n24, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (634), (1060) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_4_7 = n1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1061), (1063) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) sum(n1, n1) = all_4_3 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1062) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) sum(n24, n4) = all_4_0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (635), (1064), (1065) are % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #315. % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_4_10 = n1 | all_4_10 = n0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1066) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_4_10 = n1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1067) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) pred(n1) = all_4_6 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1067) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) succ(n1) = all_4_8 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (1069) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_4_8 = n2 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (1068) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) all_4_6 = n0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1070), (1071) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) sum(n0, n2) = all_4_1 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1071) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) sum(n0, n0) = all_4_4 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (1070) imply: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) sum(n24, n2) = all_4_7 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n0, n0, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (1073) gives: % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) all_4_4 = n0 % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 187.31/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (1072) gives: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) all_4_1 = n2 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n2, n24, % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (633), (1074) gives: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) all_4_7 = n0 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1075), (1077) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) sum(n0, n0) = all_4_3 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1076) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) sum(n24, n2) = all_4_0 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (633), (1078), (1079) are % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314. % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_4_10 = n0 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1080) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) pred(n0) = all_4_6 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1080) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) succ(n0) = all_4_8 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (1082) gives: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_4_8 = n1 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (1081) gives: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_4_6 = n25 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1083), (1084) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) sum(n25, n1) = all_4_1 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1084) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) sum(n25, n0) = all_4_4 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (1083) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) sum(n24, n1) = all_4_7 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n1, n24, % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (632), (1087) gives: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) all_4_7 = n25 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n0, n25, % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (657), (1086) gives: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_4_4 = n25 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (1085) gives: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) all_4_1 = n0 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1088), (1089) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) sum(n25, n25) = all_4_3 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1090) imply: % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) sum(n24, n0) = all_4_0 % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (631), (682), (1091), (1092) are % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313. % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | | % 187.31/26.69 | | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | | % 187.31/26.69 | | | | | | | | | End of split % 187.31/26.69 | | | | | | | | | % 187.31/26.69 | | | | | | | | End of split % 187.31/26.69 | | | | | | | | % 187.31/26.69 | | | | | | | End of split % 187.31/26.69 | | | | | | | % 187.31/26.69 | | | | | | End of split % 187.31/26.69 | | | | | | % 187.31/26.69 | | | | | End of split % 187.31/26.69 | | | | | % 187.31/26.69 | | | | End of split % 187.31/26.69 | | | | % 187.31/26.69 | | | End of split % 187.31/26.69 | | | % 187.31/26.69 | | End of split % 187.31/26.69 | | % 187.31/26.69 | Case 2: % 187.31/26.69 | | % 187.31/26.69 | | (1093) all_4_11 = n24 | all_4_11 = n23 | all_4_11 = n22 | all_4_11 = n21 % 187.31/26.69 | | | all_4_11 = n20 | all_4_11 = n19 | all_4_11 = n18 | all_4_11 = % 187.31/26.69 | | n17 | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | all_4_11 % 187.31/26.69 | | = n13 | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.31/26.69 | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.31/26.69 | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.31/26.69 | | all_4_11 = n1 | all_4_11 = n0 % 187.31/26.69 | | % 187.31/26.69 | | BETA: splitting (746) gives: % 187.31/26.69 | | % 187.31/26.69 | | Case 1: % 187.31/26.69 | | | % 187.31/26.69 | | | (1094) all_4_10 = n25 % 187.31/26.69 | | | % 187.31/26.69 | | | REDUCE: (744), (1094) imply: % 187.31/26.69 | | | (1095) pred(n25) = all_4_6 % 187.31/26.69 | | | % 187.31/26.69 | | | REDUCE: (716), (1094) imply: % 187.31/26.69 | | | (1096) succ(n25) = all_4_8 % 187.31/26.69 | | | % 187.31/26.69 | | | GROUND_INST: instantiating (2) with n0, all_4_8, n25, simplifying with % 187.31/26.69 | | | (714), (1096) gives: % 187.31/26.69 | | | (1097) all_4_8 = n0 % 187.31/26.69 | | | % 187.31/26.69 | | | GROUND_INST: instantiating (3) with n24, all_4_6, n25, simplifying with % 187.31/26.69 | | | (742), (1095) gives: % 187.31/26.69 | | | (1098) all_4_6 = n24 % 187.31/26.69 | | | % 187.31/26.69 | | | REDUCE: (687), (1098) imply: % 187.31/26.69 | | | (1099) sum(n24, all_4_5) = all_4_4 % 187.31/26.69 | | | % 187.31/26.69 | | | REDUCE: (686), (1097), (1098) imply: % 187.31/26.69 | | | (1100) sum(n24, n0) = all_4_1 % 187.31/26.69 | | | % 187.31/26.69 | | | REDUCE: (683), (1097) imply: % 187.31/26.69 | | | (1101) sum(all_4_9, n0) = all_4_7 % 187.31/26.69 | | | % 187.31/26.69 | | | GROUND_INST: instantiating (4) with n24, all_4_1, n0, n24, simplifying % 187.31/26.69 | | | with (631), (1100) gives: % 187.31/26.69 | | | (1102) all_4_1 = n24 % 187.31/26.69 | | | % 187.31/26.69 | | | REDUCE: (688), (1102) imply: % 187.31/26.69 | | | (1103) sum(all_4_2, n24) = all_4_0 % 187.31/26.69 | | | % 187.31/26.69 | | | BETA: splitting (1093) gives: % 187.31/26.69 | | | % 187.31/26.69 | | | Case 1: % 187.31/26.69 | | | | % 187.31/26.69 | | | | (1104) all_4_11 = n24 % 187.31/26.69 | | | | % 187.31/26.69 | | | | REDUCE: (743), (1104) imply: % 187.31/26.69 | | | | (1105) pred(n24) = all_4_9 % 187.31/26.69 | | | | % 187.31/26.69 | | | | REDUCE: (715), (1104) imply: % 187.31/26.69 | | | | (1106) succ(n24) = all_4_5 % 187.31/26.69 | | | | % 187.31/26.69 | | | | GROUND_INST: instantiating (2) with n25, all_4_5, n24, simplifying with % 187.31/26.69 | | | | (713), (1106) gives: % 187.31/26.69 | | | | (1107) all_4_5 = n25 % 187.31/26.69 | | | | % 187.31/26.69 | | | | GROUND_INST: instantiating (3) with n23, all_4_9, n24, simplifying with % 187.31/26.69 | | | | (741), (1105) gives: % 187.31/26.69 | | | | (1108) all_4_9 = n23 % 187.31/26.69 | | | | % 187.31/26.69 | | | | REDUCE: (684), (1107), (1108) imply: % 187.31/26.69 | | | | (1109) sum(n23, n25) = all_4_2 % 187.31/26.69 | | | | % 187.31/26.69 | | | | REDUCE: (1101), (1108) imply: % 187.31/26.69 | | | | (1110) sum(n23, n0) = all_4_7 % 187.31/26.69 | | | | % 187.31/26.69 | | | | REDUCE: (1099), (1107) imply: % 187.31/26.69 | | | | (1111) sum(n24, n25) = all_4_4 % 187.31/26.69 | | | | % 187.31/26.69 | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n0, n23, simplifying % 187.31/26.69 | | | | with (605), (1110) gives: % 187.31/26.69 | | | | (1112) all_4_7 = n23 % 187.31/26.69 | | | | % 187.31/26.69 | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n25, n23, simplifying % 187.31/26.69 | | | | with (630), (1109) gives: % 187.31/26.69 | | | | (1113) all_4_2 = n22 % 187.31/26.69 | | | | % 187.31/26.69 | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n25, n24, simplifying % 187.31/26.69 | | | | with (656), (1111) gives: % 187.31/26.69 | | | | (1114) all_4_4 = n23 % 187.31/26.69 | | | | % 187.31/26.69 | | | | REF_CLOSE: (4), (6), (603), (628), (685), (1103), (1112), (1113), (1114) % 187.31/26.69 | | | | are inconsistent by sub-proof #312. % 187.31/26.69 | | | | % 187.31/26.69 | | | Case 2: % 187.31/26.69 | | | | % 187.31/26.69 | | | | (1115) all_4_11 = n23 | all_4_11 = n22 | all_4_11 = n21 | all_4_11 = % 187.31/26.69 | | | | n20 | all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 187.31/26.69 | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = % 187.31/26.69 | | | | n13 | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.31/26.69 | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 % 187.31/26.69 | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = % 187.31/26.69 | | | | n2 | all_4_11 = n1 | all_4_11 = n0 % 187.31/26.69 | | | | % 187.31/26.69 | | | | BETA: splitting (1115) gives: % 187.31/26.69 | | | | % 187.31/26.69 | | | | Case 1: % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | (1116) all_4_11 = n23 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | REDUCE: (743), (1116) imply: % 187.31/26.69 | | | | | (1117) pred(n23) = all_4_9 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | REDUCE: (715), (1116) imply: % 187.31/26.69 | | | | | (1118) succ(n23) = all_4_5 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | GROUND_INST: instantiating (2) with n24, all_4_5, n23, simplifying % 187.31/26.69 | | | | | with (712), (1118) gives: % 187.31/26.69 | | | | | (1119) all_4_5 = n24 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | GROUND_INST: instantiating (3) with n22, all_4_9, n23, simplifying % 187.31/26.69 | | | | | with (740), (1117) gives: % 187.31/26.69 | | | | | (1120) all_4_9 = n22 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | REDUCE: (684), (1119), (1120) imply: % 187.31/26.69 | | | | | (1121) sum(n22, n24) = all_4_2 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | REDUCE: (1101), (1120) imply: % 187.31/26.69 | | | | | (1122) sum(n22, n0) = all_4_7 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | REDUCE: (1099), (1119) imply: % 187.31/26.69 | | | | | (1123) sum(n24, n24) = all_4_4 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n0, n22, simplifying % 187.31/26.69 | | | | | with (579), (1122) gives: % 187.31/26.69 | | | | | (1124) all_4_7 = n22 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n24, n22, % 187.31/26.69 | | | | | simplifying with (603), (1121) gives: % 187.31/26.69 | | | | | (1125) all_4_2 = n20 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n24, n24, % 187.31/26.69 | | | | | simplifying with (655), (1123) gives: % 187.31/26.69 | | | | | (1126) all_4_4 = n22 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | REF_CLOSE: (4), (6), (551), (601), (685), (1103), (1124), (1125), % 187.31/26.69 | | | | | (1126) are inconsistent by sub-proof #311. % 187.31/26.69 | | | | | % 187.31/26.69 | | | | Case 2: % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | (1127) all_4_11 = n22 | all_4_11 = n21 | all_4_11 = n20 | all_4_11 % 187.31/26.69 | | | | | = n19 | all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 187.31/26.69 | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | all_4_11 % 187.31/26.69 | | | | | = n12 | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.31/26.69 | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = % 187.31/26.69 | | | | | n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.31/26.69 | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.31/26.69 | | | | | % 187.31/26.69 | | | | | BETA: splitting (1127) gives: % 187.31/26.70 | | | | | % 187.31/26.70 | | | | | Case 1: % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | (1128) all_4_11 = n22 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | REDUCE: (743), (1128) imply: % 187.31/26.70 | | | | | | (1129) pred(n22) = all_4_9 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | REDUCE: (715), (1128) imply: % 187.31/26.70 | | | | | | (1130) succ(n22) = all_4_5 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | GROUND_INST: instantiating (2) with n23, all_4_5, n22, simplifying % 187.31/26.70 | | | | | | with (711), (1130) gives: % 187.31/26.70 | | | | | | (1131) all_4_5 = n23 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | GROUND_INST: instantiating (3) with n21, all_4_9, n22, simplifying % 187.31/26.70 | | | | | | with (739), (1129) gives: % 187.31/26.70 | | | | | | (1132) all_4_9 = n21 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | REDUCE: (684), (1131), (1132) imply: % 187.31/26.70 | | | | | | (1133) sum(n21, n23) = all_4_2 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | REDUCE: (1101), (1132) imply: % 187.31/26.70 | | | | | | (1134) sum(n21, n0) = all_4_7 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | REDUCE: (1099), (1131) imply: % 187.31/26.70 | | | | | | (1135) sum(n24, n23) = all_4_4 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n0, n21, % 187.31/26.70 | | | | | | simplifying with (553), (1134) gives: % 187.31/26.70 | | | | | | (1136) all_4_7 = n21 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n23, n21, % 187.31/26.70 | | | | | | simplifying with (576), (1133) gives: % 187.31/26.70 | | | | | | (1137) all_4_2 = n18 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n23, n24, % 187.31/26.70 | | | | | | simplifying with (654), (1135) gives: % 187.31/26.70 | | | | | | (1138) all_4_4 = n21 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | REF_CLOSE: (4), (6), (499), (574), (685), (1103), (1136), (1137), % 187.31/26.70 | | | | | | (1138) are inconsistent by sub-proof #310. % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | Case 2: % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | (1139) all_4_11 = n21 | all_4_11 = n20 | all_4_11 = n19 | % 187.31/26.70 | | | | | | all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 187.31/26.70 | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 187.31/26.70 | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.31/26.70 | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = % 187.31/26.70 | | | | | | n6 | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.31/26.70 | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | BETA: splitting (1139) gives: % 187.31/26.70 | | | | | | % 187.31/26.70 | | | | | | Case 1: % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | (1140) all_4_11 = n21 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | REDUCE: (743), (1140) imply: % 187.31/26.70 | | | | | | | (1141) pred(n21) = all_4_9 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | REDUCE: (715), (1140) imply: % 187.31/26.70 | | | | | | | (1142) succ(n21) = all_4_5 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_5, n21, simplifying % 187.31/26.70 | | | | | | | with (710), (1142) gives: % 187.31/26.70 | | | | | | | (1143) all_4_5 = n22 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_9, n21, simplifying % 187.31/26.70 | | | | | | | with (738), (1141) gives: % 187.31/26.70 | | | | | | | (1144) all_4_9 = n20 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | REDUCE: (684), (1143), (1144) imply: % 187.31/26.70 | | | | | | | (1145) sum(n20, n22) = all_4_2 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | REDUCE: (1101), (1144) imply: % 187.31/26.70 | | | | | | | (1146) sum(n20, n0) = all_4_7 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | REDUCE: (1099), (1143) imply: % 187.31/26.70 | | | | | | | (1147) sum(n24, n22) = all_4_4 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n0, n20, % 187.31/26.70 | | | | | | | simplifying with (527), (1146) gives: % 187.31/26.70 | | | | | | | (1148) all_4_7 = n20 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n22, n20, % 187.31/26.70 | | | | | | | simplifying with (549), (1145) gives: % 187.31/26.70 | | | | | | | (1149) all_4_2 = n16 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n22, n24, % 187.31/26.70 | | | | | | | simplifying with (653), (1147) gives: % 187.31/26.70 | | | | | | | (1150) all_4_4 = n20 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | REF_CLOSE: (4), (6), (447), (547), (685), (1103), (1148), (1149), % 187.31/26.70 | | | | | | | (1150) are inconsistent by sub-proof #309. % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | Case 2: % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | (1151) all_4_11 = n20 | all_4_11 = n19 | all_4_11 = n18 | % 187.31/26.70 | | | | | | | all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 187.31/26.70 | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 187.31/26.70 | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.31/26.70 | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | all_4_11 % 187.31/26.70 | | | | | | | = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.31/26.70 | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | BETA: splitting (1151) gives: % 187.31/26.70 | | | | | | | % 187.31/26.70 | | | | | | | Case 1: % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | (1152) all_4_11 = n20 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | REDUCE: (743), (1152) imply: % 187.31/26.70 | | | | | | | | (1153) pred(n20) = all_4_9 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | REDUCE: (715), (1152) imply: % 187.31/26.70 | | | | | | | | (1154) succ(n20) = all_4_5 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_5, n20, % 187.31/26.70 | | | | | | | | simplifying with (709), (1154) gives: % 187.31/26.70 | | | | | | | | (1155) all_4_5 = n21 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_9, n20, % 187.31/26.70 | | | | | | | | simplifying with (737), (1153) gives: % 187.31/26.70 | | | | | | | | (1156) all_4_9 = n19 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | REDUCE: (684), (1155), (1156) imply: % 187.31/26.70 | | | | | | | | (1157) sum(n19, n21) = all_4_2 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | REDUCE: (1101), (1156) imply: % 187.31/26.70 | | | | | | | | (1158) sum(n19, n0) = all_4_7 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | REDUCE: (1099), (1155) imply: % 187.31/26.70 | | | | | | | | (1159) sum(n24, n21) = all_4_4 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n0, n19, % 187.31/26.70 | | | | | | | | simplifying with (501), (1158) gives: % 187.31/26.70 | | | | | | | | (1160) all_4_7 = n19 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n21, n19, % 187.31/26.70 | | | | | | | | simplifying with (522), (1157) gives: % 187.31/26.70 | | | | | | | | (1161) all_4_2 = n14 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n21, n24, % 187.31/26.70 | | | | | | | | simplifying with (652), (1159) gives: % 187.31/26.70 | | | | | | | | (1162) all_4_4 = n19 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | REF_CLOSE: (4), (6), (395), (520), (685), (1103), (1160), % 187.31/26.70 | | | | | | | | (1161), (1162) are inconsistent by sub-proof #308. % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | Case 2: % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | (1163) all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 187.31/26.70 | | | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 187.31/26.70 | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 187.31/26.70 | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.31/26.70 | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.31/26.70 | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.31/26.70 | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | BETA: splitting (1163) gives: % 187.31/26.70 | | | | | | | | % 187.31/26.70 | | | | | | | | Case 1: % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | (1164) all_4_11 = n19 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | REDUCE: (743), (1164) imply: % 187.31/26.70 | | | | | | | | | (1165) pred(n19) = all_4_9 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | REDUCE: (715), (1164) imply: % 187.31/26.70 | | | | | | | | | (1166) succ(n19) = all_4_5 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_5, n19, % 187.31/26.70 | | | | | | | | | simplifying with (708), (1166) gives: % 187.31/26.70 | | | | | | | | | (1167) all_4_5 = n20 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_9, n19, % 187.31/26.70 | | | | | | | | | simplifying with (736), (1165) gives: % 187.31/26.70 | | | | | | | | | (1168) all_4_9 = n18 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | REDUCE: (684), (1167), (1168) imply: % 187.31/26.70 | | | | | | | | | (1169) sum(n18, n20) = all_4_2 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | REDUCE: (1101), (1168) imply: % 187.31/26.70 | | | | | | | | | (1170) sum(n18, n0) = all_4_7 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | REDUCE: (1099), (1167) imply: % 187.31/26.70 | | | | | | | | | (1171) sum(n24, n20) = all_4_4 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n0, n18, % 187.31/26.70 | | | | | | | | | simplifying with (475), (1170) gives: % 187.31/26.70 | | | | | | | | | (1172) all_4_7 = n18 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n20, n18, % 187.31/26.70 | | | | | | | | | simplifying with (495), (1169) gives: % 187.31/26.70 | | | | | | | | | (1173) all_4_2 = n12 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n20, n24, % 187.31/26.70 | | | | | | | | | simplifying with (651), (1171) gives: % 187.31/26.70 | | | | | | | | | (1174) all_4_4 = n18 % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | | REF_CLOSE: (4), (6), (343), (493), (685), (1103), (1172), % 187.31/26.70 | | | | | | | | | (1173), (1174) are inconsistent by sub-proof #307. % 187.31/26.70 | | | | | | | | | % 187.31/26.70 | | | | | | | | Case 2: % 187.31/26.70 | | | | | | | | | % 187.56/26.70 | | | | | | | | | (1175) all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 187.56/26.70 | | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 187.56/26.70 | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.56/26.70 | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.56/26.70 | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.56/26.70 | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.56/26.70 | | | | | | | | | all_4_11 = n0 % 187.56/26.70 | | | | | | | | | % 187.56/26.70 | | | | | | | | | BETA: splitting (1175) gives: % 187.56/26.70 | | | | | | | | | % 187.56/26.70 | | | | | | | | | Case 1: % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | (1176) all_4_11 = n18 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | REDUCE: (743), (1176) imply: % 187.56/26.70 | | | | | | | | | | (1177) pred(n18) = all_4_9 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | REDUCE: (715), (1176) imply: % 187.56/26.70 | | | | | | | | | | (1178) succ(n18) = all_4_5 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 187.56/26.70 | | | | | | | | | | simplifying with (707), (1178) gives: % 187.56/26.70 | | | | | | | | | | (1179) all_4_5 = n19 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 187.56/26.70 | | | | | | | | | | simplifying with (735), (1177) gives: % 187.56/26.70 | | | | | | | | | | (1180) all_4_9 = n17 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | REDUCE: (684), (1179), (1180) imply: % 187.56/26.70 | | | | | | | | | | (1181) sum(n17, n19) = all_4_2 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | REDUCE: (1101), (1180) imply: % 187.56/26.70 | | | | | | | | | | (1182) sum(n17, n0) = all_4_7 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | REDUCE: (1099), (1179) imply: % 187.56/26.70 | | | | | | | | | | (1183) sum(n24, n19) = all_4_4 % 187.56/26.70 | | | | | | | | | | % 187.56/26.70 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n0, n17, % 187.56/26.70 | | | | | | | | | | simplifying with (449), (1182) gives: % 187.56/26.71 | | | | | | | | | | (1184) all_4_7 = n17 % 187.56/26.71 | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 187.56/26.71 | | | | | | | | | | simplifying with (468), (1181) gives: % 187.56/26.71 | | | | | | | | | | (1185) all_4_2 = n10 % 187.56/26.71 | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n19, n24, % 187.56/26.71 | | | | | | | | | | simplifying with (650), (1183) gives: % 187.56/26.71 | | | | | | | | | | (1186) all_4_4 = n17 % 187.56/26.71 | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | REF_CLOSE: (4), (6), (291), (466), (685), (1103), (1184), % 187.56/26.71 | | | | | | | | | | (1185), (1186) are inconsistent by sub-proof #306. % 187.56/26.71 | | | | | | | | | | % 187.56/26.71 | | | | | | | | | Case 2: % 187.56/26.71 | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | (1187) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 187.56/26.71 | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 187.56/26.71 | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.56/26.71 | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.56/26.71 | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.56/26.71 | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.71 | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | BETA: splitting (1187) gives: % 187.56/26.71 | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | Case 1: % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | (1188) all_4_11 = n17 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | REDUCE: (743), (1188) imply: % 187.56/26.71 | | | | | | | | | | | (1189) pred(n17) = all_4_9 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | REDUCE: (715), (1188) imply: % 187.56/26.71 | | | | | | | | | | | (1190) succ(n17) = all_4_5 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 187.56/26.71 | | | | | | | | | | | simplifying with (706), (1190) gives: % 187.56/26.71 | | | | | | | | | | | (1191) all_4_5 = n18 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 187.56/26.71 | | | | | | | | | | | simplifying with (734), (1189) gives: % 187.56/26.71 | | | | | | | | | | | (1192) all_4_9 = n16 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | REDUCE: (684), (1191), (1192) imply: % 187.56/26.71 | | | | | | | | | | | (1193) sum(n16, n18) = all_4_2 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | REDUCE: (1101), (1192) imply: % 187.56/26.71 | | | | | | | | | | | (1194) sum(n16, n0) = all_4_7 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | REDUCE: (1099), (1191) imply: % 187.56/26.71 | | | | | | | | | | | (1195) sum(n24, n18) = all_4_4 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n0, n16, % 187.56/26.71 | | | | | | | | | | | simplifying with (423), (1194) gives: % 187.56/26.71 | | | | | | | | | | | (1196) all_4_7 = n16 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 187.56/26.71 | | | | | | | | | | | simplifying with (441), (1193) gives: % 187.56/26.71 | | | | | | | | | | | (1197) all_4_2 = n8 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n18, n24, % 187.56/26.71 | | | | | | | | | | | simplifying with (649), (1195) gives: % 187.56/26.71 | | | | | | | | | | | (1198) all_4_4 = n16 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | REF_CLOSE: (4), (6), (239), (439), (685), (1103), (1196), % 187.56/26.71 | | | | | | | | | | | (1197), (1198) are inconsistent by sub-proof #305. % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | Case 2: % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | (1199) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 187.56/26.71 | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 187.56/26.71 | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.56/26.71 | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.56/26.71 | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.56/26.71 | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | BETA: splitting (1199) gives: % 187.56/26.71 | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | Case 1: % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | (1200) all_4_11 = n16 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | REDUCE: (743), (1200) imply: % 187.56/26.71 | | | | | | | | | | | | (1201) pred(n16) = all_4_9 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | REDUCE: (715), (1200) imply: % 187.56/26.71 | | | | | | | | | | | | (1202) succ(n16) = all_4_5 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 187.56/26.71 | | | | | | | | | | | | simplifying with (705), (1202) gives: % 187.56/26.71 | | | | | | | | | | | | (1203) all_4_5 = n17 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 187.56/26.71 | | | | | | | | | | | | simplifying with (733), (1201) gives: % 187.56/26.71 | | | | | | | | | | | | (1204) all_4_9 = n15 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | REDUCE: (684), (1203), (1204) imply: % 187.56/26.71 | | | | | | | | | | | | (1205) sum(n15, n17) = all_4_2 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | REDUCE: (1101), (1204) imply: % 187.56/26.71 | | | | | | | | | | | | (1206) sum(n15, n0) = all_4_7 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | REDUCE: (1099), (1203) imply: % 187.56/26.71 | | | | | | | | | | | | (1207) sum(n24, n17) = all_4_4 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n0, n15, % 187.56/26.71 | | | | | | | | | | | | simplifying with (397), (1206) gives: % 187.56/26.71 | | | | | | | | | | | | (1208) all_4_7 = n15 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 187.56/26.71 | | | | | | | | | | | | simplifying with (414), (1205) gives: % 187.56/26.71 | | | | | | | | | | | | (1209) all_4_2 = n6 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n17, n24, % 187.56/26.71 | | | | | | | | | | | | simplifying with (648), (1207) gives: % 187.56/26.71 | | | | | | | | | | | | (1210) all_4_4 = n15 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | REF_CLOSE: (4), (6), (187), (412), (685), (1103), (1208), % 187.56/26.71 | | | | | | | | | | | | (1209), (1210) are inconsistent by sub-proof #304. % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | Case 2: % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | (1211) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 187.56/26.71 | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.56/26.71 | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.56/26.71 | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.56/26.71 | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.56/26.71 | | | | | | | | | | | | all_4_11 = n0 % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | BETA: splitting (1211) gives: % 187.56/26.71 | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | Case 1: % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | (1212) all_4_11 = n15 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | REDUCE: (743), (1212) imply: % 187.56/26.71 | | | | | | | | | | | | | (1213) pred(n15) = all_4_9 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | REDUCE: (715), (1212) imply: % 187.56/26.71 | | | | | | | | | | | | | (1214) succ(n15) = all_4_5 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 187.56/26.71 | | | | | | | | | | | | | simplifying with (704), (1214) gives: % 187.56/26.71 | | | | | | | | | | | | | (1215) all_4_5 = n16 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 187.56/26.71 | | | | | | | | | | | | | simplifying with (732), (1213) gives: % 187.56/26.71 | | | | | | | | | | | | | (1216) all_4_9 = n14 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | REDUCE: (684), (1215), (1216) imply: % 187.56/26.71 | | | | | | | | | | | | | (1217) sum(n14, n16) = all_4_2 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | REDUCE: (1101), (1216) imply: % 187.56/26.71 | | | | | | | | | | | | | (1218) sum(n14, n0) = all_4_7 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | REDUCE: (1099), (1215) imply: % 187.56/26.71 | | | | | | | | | | | | | (1219) sum(n24, n16) = all_4_4 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n0, n14, % 187.56/26.71 | | | | | | | | | | | | | simplifying with (371), (1218) gives: % 187.56/26.71 | | | | | | | | | | | | | (1220) all_4_7 = n14 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 187.56/26.71 | | | | | | | | | | | | | simplifying with (387), (1217) gives: % 187.56/26.71 | | | | | | | | | | | | | (1221) all_4_2 = n4 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n16, n24, % 187.56/26.71 | | | | | | | | | | | | | simplifying with (647), (1219) gives: % 187.56/26.71 | | | | | | | | | | | | | (1222) all_4_4 = n14 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (135), (385), (685), (1103), (1220), % 187.56/26.71 | | | | | | | | | | | | | (1221), (1222) are inconsistent by sub-proof #303. % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | Case 2: % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | (1223) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 187.56/26.71 | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.56/26.71 | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.56/26.71 | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.56/26.71 | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | BETA: splitting (1223) gives: % 187.56/26.71 | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | Case 1: % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | (1224) all_4_11 = n14 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | REDUCE: (743), (1224) imply: % 187.56/26.71 | | | | | | | | | | | | | | (1225) pred(n14) = all_4_9 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | REDUCE: (715), (1224) imply: % 187.56/26.71 | | | | | | | | | | | | | | (1226) succ(n14) = all_4_5 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 187.56/26.71 | | | | | | | | | | | | | | simplifying with (703), (1226) gives: % 187.56/26.71 | | | | | | | | | | | | | | (1227) all_4_5 = n15 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 187.56/26.71 | | | | | | | | | | | | | | simplifying with (731), (1225) gives: % 187.56/26.71 | | | | | | | | | | | | | | (1228) all_4_9 = n13 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | REDUCE: (684), (1227), (1228) imply: % 187.56/26.71 | | | | | | | | | | | | | | (1229) sum(n13, n15) = all_4_2 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | REDUCE: (1101), (1228) imply: % 187.56/26.71 | | | | | | | | | | | | | | (1230) sum(n13, n0) = all_4_7 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | REDUCE: (1099), (1227) imply: % 187.56/26.71 | | | | | | | | | | | | | | (1231) sum(n24, n15) = all_4_4 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n0, n13, % 187.56/26.71 | | | | | | | | | | | | | | simplifying with (345), (1230) gives: % 187.56/26.71 | | | | | | | | | | | | | | (1232) all_4_7 = n13 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 187.56/26.71 | | | | | | | | | | | | | | simplifying with (360), (1229) gives: % 187.56/26.71 | | | | | | | | | | | | | | (1233) all_4_2 = n2 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n15, n24, % 187.56/26.71 | | | | | | | | | | | | | | simplifying with (646), (1231) gives: % 187.56/26.71 | | | | | | | | | | | | | | (1234) all_4_4 = n13 % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (83), (358), (685), (1103), (1232), % 187.56/26.71 | | | | | | | | | | | | | | (1233), (1234) are inconsistent by sub-proof #302. % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.71 | | | | | | | | | | | | | Case 2: % 187.56/26.71 | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | (1235) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 187.56/26.72 | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.56/26.72 | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.56/26.72 | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.56/26.72 | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.72 | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | BETA: splitting (1235) gives: % 187.56/26.72 | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | Case 1: % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | (1236) all_4_11 = n13 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | REDUCE: (743), (1236) imply: % 187.56/26.72 | | | | | | | | | | | | | | | (1237) pred(n13) = all_4_9 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | REDUCE: (715), (1236) imply: % 187.56/26.72 | | | | | | | | | | | | | | | (1238) succ(n13) = all_4_5 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 187.56/26.72 | | | | | | | | | | | | | | | simplifying with (702), (1238) gives: % 187.56/26.72 | | | | | | | | | | | | | | | (1239) all_4_5 = n14 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 187.56/26.72 | | | | | | | | | | | | | | | simplifying with (730), (1237) gives: % 187.56/26.72 | | | | | | | | | | | | | | | (1240) all_4_9 = n12 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | REDUCE: (684), (1239), (1240) imply: % 187.56/26.72 | | | | | | | | | | | | | | | (1241) sum(n12, n14) = all_4_2 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | REDUCE: (1101), (1240) imply: % 187.56/26.72 | | | | | | | | | | | | | | | (1242) sum(n12, n0) = all_4_7 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | REDUCE: (1099), (1239) imply: % 187.56/26.72 | | | | | | | | | | | | | | | (1243) sum(n24, n14) = all_4_4 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n0, n12, % 187.56/26.72 | | | | | | | | | | | | | | | simplifying with (319), (1242) gives: % 187.56/26.72 | | | | | | | | | | | | | | | (1244) all_4_7 = n12 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 187.56/26.72 | | | | | | | | | | | | | | | simplifying with (333), (1241) gives: % 187.56/26.72 | | | | | | | | | | | | | | | (1245) all_4_2 = n0 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n14, n24, % 187.56/26.72 | | | | | | | | | | | | | | | simplifying with (645), (1243) gives: % 187.56/26.72 | | | | | | | | | | | | | | | (1246) all_4_4 = n12 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (31), (331), (685), (1103), (1244), % 187.56/26.72 | | | | | | | | | | | | | | | (1245), (1246) are inconsistent by sub-proof #301. % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | Case 2: % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | (1247) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.56/26.72 | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.56/26.72 | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.56/26.72 | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.56/26.72 | | | | | | | | | | | | | | | all_4_11 = n0 % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | BETA: splitting (1247) gives: % 187.56/26.72 | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | Case 1: % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | (1248) all_4_11 = n12 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REDUCE: (743), (1248) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | (1249) pred(n12) = all_4_9 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REDUCE: (715), (1248) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | (1250) succ(n12) = all_4_5 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 187.56/26.72 | | | | | | | | | | | | | | | | simplifying with (701), (1250) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | (1251) all_4_5 = n13 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 187.56/26.72 | | | | | | | | | | | | | | | | simplifying with (729), (1249) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | (1252) all_4_9 = n11 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REDUCE: (684), (1251), (1252) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | (1253) sum(n11, n13) = all_4_2 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REDUCE: (1101), (1252) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | (1254) sum(n11, n0) = all_4_7 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REDUCE: (1099), (1251) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | (1255) sum(n24, n13) = all_4_4 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n0, n11, % 187.56/26.72 | | | | | | | | | | | | | | | | simplifying with (293), (1254) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | (1256) all_4_7 = n11 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 187.56/26.72 | | | | | | | | | | | | | | | | simplifying with (306), (1253) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | (1257) all_4_2 = n24 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n13, n24, % 187.56/26.72 | | | | | | | | | | | | | | | | simplifying with (644), (1255) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | (1258) all_4_4 = n11 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REDUCE: (1103), (1257) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | (1259) sum(n24, n24) = all_4_0 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REDUCE: (685), (1256), (1258) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | (1260) sum(n11, n11) = all_4_3 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (655), (1259), (1260) are % 187.56/26.72 | | | | | | | | | | | | | | | | inconsistent by sub-proof #325. % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | Case 2: % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | (1261) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.56/26.72 | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.56/26.72 | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.56/26.72 | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | BETA: splitting (1261) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | Case 1: % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | (1262) all_4_11 = n11 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REDUCE: (743), (1262) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1263) pred(n11) = all_4_9 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REDUCE: (715), (1262) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1264) succ(n11) = all_4_5 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 187.56/26.72 | | | | | | | | | | | | | | | | | simplifying with (700), (1264) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1265) all_4_5 = n12 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 187.56/26.72 | | | | | | | | | | | | | | | | | simplifying with (728), (1263) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1266) all_4_9 = n10 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REDUCE: (684), (1265), (1266) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1267) sum(n10, n12) = all_4_2 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REDUCE: (1101), (1266) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1268) sum(n10, n0) = all_4_7 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REDUCE: (1099), (1265) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1269) sum(n24, n12) = all_4_4 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n0, n10, % 187.56/26.72 | | | | | | | | | | | | | | | | | simplifying with (267), (1268) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1270) all_4_7 = n10 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 187.56/26.72 | | | | | | | | | | | | | | | | | simplifying with (279), (1267) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1271) all_4_2 = n22 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n12, n24, % 187.56/26.72 | | | | | | | | | | | | | | | | | simplifying with (643), (1269) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1272) all_4_4 = n10 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REDUCE: (1103), (1271) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1273) sum(n22, n24) = all_4_0 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REDUCE: (685), (1270), (1272) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | (1274) sum(n10, n10) = all_4_3 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (603), (1273), (1274) are % 187.56/26.72 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #300. % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | Case 2: % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | (1275) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.56/26.72 | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.56/26.72 | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.56/26.72 | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1276) all_4_11 = n10 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (743), (1276) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1277) pred(n10) = all_4_9 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (715), (1276) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1278) succ(n10) = all_4_5 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 187.56/26.72 | | | | | | | | | | | | | | | | | | simplifying with (699), (1278) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1279) all_4_5 = n11 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 187.56/26.72 | | | | | | | | | | | | | | | | | | simplifying with (727), (1277) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1280) all_4_9 = n9 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (684), (1279), (1280) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1281) sum(n9, n11) = all_4_2 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1280) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1282) sum(n9, n0) = all_4_7 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1279) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1283) sum(n24, n11) = all_4_4 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n0, n9, % 187.56/26.72 | | | | | | | | | | | | | | | | | | simplifying with (241), (1282) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1284) all_4_7 = n9 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 187.56/26.72 | | | | | | | | | | | | | | | | | | simplifying with (252), (1281) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1285) all_4_2 = n20 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n11, n24, % 187.56/26.72 | | | | | | | | | | | | | | | | | | simplifying with (642), (1283) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1286) all_4_4 = n9 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1285) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1287) sum(n20, n24) = all_4_0 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (685), (1284), (1286) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1288) sum(n9, n9) = all_4_3 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (551), (1287), (1288) are % 187.56/26.72 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #299. % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | (1289) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.56/26.72 | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.56/26.72 | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.56/26.72 | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1290) all_4_11 = n9 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1290) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1291) pred(n9) = all_4_9 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1290) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1292) succ(n9) = all_4_5 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 187.56/26.72 | | | | | | | | | | | | | | | | | | | simplifying with (698), (1292) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1293) all_4_5 = n10 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 187.56/26.72 | | | | | | | | | | | | | | | | | | | simplifying with (726), (1291) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1294) all_4_9 = n8 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1293), (1294) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1295) sum(n8, n10) = all_4_2 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1294) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1296) sum(n8, n0) = all_4_7 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1293) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1297) sum(n24, n10) = all_4_4 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n0, n8, % 187.56/26.72 | | | | | | | | | | | | | | | | | | | simplifying with (215), (1296) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1298) all_4_7 = n8 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 187.56/26.72 | | | | | | | | | | | | | | | | | | | simplifying with (225), (1295) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1299) all_4_2 = n18 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n10, n24, % 187.56/26.72 | | | | | | | | | | | | | | | | | | | simplifying with (641), (1297) gives: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1300) all_4_4 = n8 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.72 | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1299) imply: % 187.56/26.72 | | | | | | | | | | | | | | | | | | | (1301) sum(n18, n24) = all_4_0 % 187.56/26.72 | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1298), (1300) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | (1302) sum(n8, n8) = all_4_3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (499), (1301), (1302) are % 187.56/26.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #298. % 187.56/26.73 | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | (1303) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (1303) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1304) all_4_11 = n8 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1304) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1305) pred(n8) = all_4_9 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1304) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1306) succ(n8) = all_4_5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | simplifying with (697), (1306) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1307) all_4_5 = n9 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | simplifying with (725), (1305) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1308) all_4_9 = n7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1307), (1308) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1309) sum(n7, n9) = all_4_2 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1308) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1310) sum(n7, n0) = all_4_7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1307) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1311) sum(n24, n9) = all_4_4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n0, n7, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | simplifying with (189), (1310) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1312) all_4_7 = n7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | simplifying with (198), (1309) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1313) all_4_2 = n16 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n9, n24, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | simplifying with (640), (1311) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1314) all_4_4 = n7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1313) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1315) sum(n16, n24) = all_4_0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1312), (1314) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1316) sum(n7, n7) = all_4_3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (447), (1315), (1316) are % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #297. % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | (1317) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1317) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1318) all_4_11 = n7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1318) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1319) pred(n7) = all_4_9 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1318) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1320) succ(n7) = all_4_5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (1320) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1321) all_4_5 = n8 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (1319) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1322) all_4_9 = n6 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1321), (1322) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1323) sum(n6, n8) = all_4_2 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1322) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1324) sum(n6, n0) = all_4_7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1321) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1325) sum(n24, n8) = all_4_4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n0, n6, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (163), (1324) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1326) all_4_7 = n6 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (1323) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1327) all_4_2 = n14 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n8, n24, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | simplifying with (639), (1325) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1328) all_4_4 = n6 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1327) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1329) sum(n14, n24) = all_4_0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1326), (1328) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1330) sum(n6, n6) = all_4_3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (395), (1329), (1330) are % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #296. % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | (1331) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1332) all_4_11 = n6 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1332) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1333) pred(n6) = all_4_9 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1332) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1334) succ(n6) = all_4_5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (1334) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1335) all_4_5 = n7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (1333) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1336) all_4_9 = n5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1335), (1336) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1337) sum(n5, n7) = all_4_2 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1336) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1338) sum(n5, n0) = all_4_7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1335) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1339) sum(n24, n7) = all_4_4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n0, n5, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | simplifying with (137), (1338) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1340) all_4_7 = n5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (1337) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1341) all_4_2 = n12 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n7, n24, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | simplifying with (638), (1339) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1342) all_4_4 = n5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1341) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1343) sum(n12, n24) = all_4_0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1340), (1342) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1344) sum(n5, n5) = all_4_3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (343), (1343), (1344) are % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #295. % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | (1345) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1346) all_4_11 = n5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1346) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1347) pred(n5) = all_4_9 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1346) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1348) succ(n5) = all_4_5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (1348) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1349) all_4_5 = n6 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (1347) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1350) all_4_9 = n4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1349), (1350) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1351) sum(n4, n6) = all_4_2 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1350) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1352) sum(n4, n0) = all_4_7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1349) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1353) sum(n24, n6) = all_4_4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n0, n4, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (111), (1352) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1354) all_4_7 = n4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (1351) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1355) all_4_2 = n10 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n6, n24, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (637), (1353) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1356) all_4_4 = n4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1355) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1357) sum(n10, n24) = all_4_0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1354), (1356) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1358) sum(n4, n4) = all_4_3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (291), (1357), (1358) are % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #294. % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | (1359) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1359) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_4_11 = n4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1360) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1361) pred(n4) = all_4_9 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1360) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1362) succ(n4) = all_4_5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (1362) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_4_5 = n5 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (1361) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_4_9 = n3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1363), (1364) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1365) sum(n3, n5) = all_4_2 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1364) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1366) sum(n3, n0) = all_4_7 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1363) imply: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1367) sum(n24, n5) = all_4_4 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n0, n3, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (85), (1366) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_4_7 = n3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (1365) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_4_2 = n8 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n5, n24, % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (636), (1367) gives: % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_4_4 = n3 % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1369) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (1371) sum(n8, n24) = all_4_0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1368), (1370) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (1372) sum(n3, n3) = all_4_3 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (239), (1371), (1372) are % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #293. % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1373) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_4_11 = n3 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1374) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1375) pred(n3) = all_4_9 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1374) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1376) succ(n3) = all_4_5 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (1376) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_4_5 = n4 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (1375) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_4_9 = n2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1377), (1378) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1379) sum(n2, n4) = all_4_2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1378) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1380) sum(n2, n0) = all_4_7 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1377) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1381) sum(n24, n4) = all_4_4 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n0, n2, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (59), (1380) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_4_7 = n2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (1379) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_4_2 = n6 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n4, n24, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (635), (1381) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_4_4 = n2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1383) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1385) sum(n6, n24) = all_4_0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1382), (1384) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1386) sum(n2, n2) = all_4_3 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (187), (1385), (1386) are % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #292. % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1387) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_4_11 = n2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1388) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) pred(n2) = all_4_9 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1388) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) succ(n2) = all_4_5 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (1390) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_4_5 = n3 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (1389) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_4_9 = n1 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1391), (1392) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) sum(n1, n3) = all_4_2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1392) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) sum(n1, n0) = all_4_7 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1391) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) sum(n24, n3) = all_4_4 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n0, n1, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (1394) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_4_7 = n1 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (1393) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_4_2 = n4 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n3, n24, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (634), (1395) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_4_4 = n1 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1397) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) sum(n4, n24) = all_4_0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1396), (1398) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) sum(n1, n1) = all_4_3 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (135), (1399), (1400) are % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #291. % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_4_11 = n1 | all_4_11 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_4_11 = n1 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1402) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) pred(n1) = all_4_9 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1402) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) succ(n1) = all_4_5 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (1404) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_4_5 = n2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (1403) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_4_9 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1405), (1406) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) sum(n0, n2) = all_4_2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1406) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) sum(n0, n0) = all_4_7 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1405) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) sum(n24, n2) = all_4_4 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n0, n0, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (1408) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_4_7 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (1407) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_4_2 = n2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n2, n24, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (633), (1409) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_4_4 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1411) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) sum(n2, n24) = all_4_0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1410), (1412) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) sum(n0, n0) = all_4_3 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (83), (1413), (1414) are % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290. % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_4_11 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1415) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) pred(n0) = all_4_9 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1415) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) succ(n0) = all_4_5 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (1417) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_4_5 = n1 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (1416) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_4_9 = n25 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1418), (1419) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) sum(n25, n1) = all_4_2 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1419) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) sum(n25, n0) = all_4_7 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1418) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) sum(n24, n1) = all_4_4 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n1, n24, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (632), (1422) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_4_4 = n25 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n0, n25, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (657), (1421) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_4_7 = n25 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (1420) gives: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_4_2 = n0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1425) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) sum(n0, n24) = all_4_0 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1423), (1424) imply: % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) sum(n25, n25) = all_4_3 % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (31), (682), (1426), (1427) are % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #289. % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | | % 187.56/26.74 | | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | | % 187.56/26.74 | | | | | | | | | End of split % 187.56/26.74 | | | | | | | | | % 187.56/26.74 | | | | | | | | End of split % 187.56/26.74 | | | | | | | | % 187.56/26.74 | | | | | | | End of split % 187.56/26.74 | | | | | | | % 187.56/26.74 | | | | | | End of split % 187.56/26.74 | | | | | | % 187.56/26.74 | | | | | End of split % 187.56/26.74 | | | | | % 187.56/26.74 | | | | End of split % 187.56/26.74 | | | | % 187.56/26.74 | | | End of split % 187.56/26.74 | | | % 187.56/26.74 | | Case 2: % 187.56/26.74 | | | % 187.56/26.74 | | | (1428) all_4_10 = n24 | all_4_10 = n23 | all_4_10 = n22 | all_4_10 = % 187.56/26.74 | | | n21 | all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 187.56/26.74 | | | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = % 187.56/26.74 | | | n14 | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.56/26.74 | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.56/26.74 | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.56/26.74 | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.56/26.74 | | | % 187.56/26.74 | | | BETA: splitting (1093) gives: % 187.56/26.74 | | | % 187.56/26.74 | | | Case 1: % 187.56/26.74 | | | | % 187.56/26.74 | | | | (1429) all_4_11 = n24 % 187.56/26.74 | | | | % 187.56/26.74 | | | | REDUCE: (743), (1429) imply: % 187.56/26.75 | | | | (1430) pred(n24) = all_4_9 % 187.56/26.75 | | | | % 187.56/26.75 | | | | REDUCE: (715), (1429) imply: % 187.56/26.75 | | | | (1431) succ(n24) = all_4_5 % 187.56/26.75 | | | | % 187.56/26.75 | | | | GROUND_INST: instantiating (2) with n25, all_4_5, n24, simplifying with % 187.56/26.75 | | | | (713), (1431) gives: % 187.56/26.75 | | | | (1432) all_4_5 = n25 % 187.56/26.75 | | | | % 187.56/26.75 | | | | GROUND_INST: instantiating (3) with n23, all_4_9, n24, simplifying with % 187.56/26.75 | | | | (741), (1430) gives: % 187.56/26.75 | | | | (1433) all_4_9 = n23 % 187.56/26.75 | | | | % 187.56/26.75 | | | | REDUCE: (687), (1432) imply: % 187.56/26.75 | | | | (1434) sum(all_4_6, n25) = all_4_4 % 187.56/26.75 | | | | % 187.56/26.75 | | | | REDUCE: (684), (1432), (1433) imply: % 187.56/26.75 | | | | (1435) sum(n23, n25) = all_4_2 % 187.56/26.75 | | | | % 187.56/26.75 | | | | REDUCE: (683), (1433) imply: % 187.56/26.75 | | | | (1436) sum(n23, all_4_8) = all_4_7 % 187.56/26.75 | | | | % 187.56/26.75 | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n25, n23, simplifying % 187.56/26.75 | | | | with (630), (1435) gives: % 187.56/26.75 | | | | (1437) all_4_2 = n22 % 187.56/26.75 | | | | % 187.56/26.75 | | | | REDUCE: (688), (1437) imply: % 187.56/26.75 | | | | (1438) sum(n22, all_4_1) = all_4_0 % 187.56/26.75 | | | | % 187.56/26.75 | | | | BETA: splitting (1428) gives: % 187.56/26.75 | | | | % 187.56/26.75 | | | | Case 1: % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | (1439) all_4_10 = n24 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | REDUCE: (744), (1439) imply: % 187.56/26.75 | | | | | (1440) pred(n24) = all_4_6 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | REDUCE: (716), (1439) imply: % 187.56/26.75 | | | | | (1441) succ(n24) = all_4_8 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | GROUND_INST: instantiating (2) with n25, all_4_8, n24, simplifying % 187.56/26.75 | | | | | with (713), (1441) gives: % 187.56/26.75 | | | | | (1442) all_4_8 = n25 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | GROUND_INST: instantiating (3) with n23, all_4_6, n24, simplifying % 187.56/26.75 | | | | | with (741), (1440) gives: % 187.56/26.75 | | | | | (1443) all_4_6 = n23 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | REDUCE: (686), (1442), (1443) imply: % 187.56/26.75 | | | | | (1444) sum(n23, n25) = all_4_1 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | REDUCE: (1434), (1443) imply: % 187.56/26.75 | | | | | (1445) sum(n23, n25) = all_4_4 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | REDUCE: (1436), (1442) imply: % 187.56/26.75 | | | | | (1446) sum(n23, n25) = all_4_7 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n25, n23, % 187.56/26.75 | | | | | simplifying with (630), (1445) gives: % 187.56/26.75 | | | | | (1447) all_4_4 = n22 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n25, n23, % 187.56/26.75 | | | | | simplifying with (1444), (1445) gives: % 187.56/26.75 | | | | | (1448) all_4_1 = all_4_4 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n25, n23, % 187.56/26.75 | | | | | simplifying with (1444), (1446) gives: % 187.56/26.75 | | | | | (1449) all_4_1 = all_4_7 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | REF_CLOSE: (4), (6), (601), (685), (1438), (1447), (1448), (1449) are % 187.56/26.75 | | | | | inconsistent by sub-proof #288. % 187.56/26.75 | | | | | % 187.56/26.75 | | | | Case 2: % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | (1450) all_4_10 = n23 | all_4_10 = n22 | all_4_10 = n21 | all_4_10 % 187.56/26.75 | | | | | = n20 | all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.56/26.75 | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | all_4_10 % 187.56/26.75 | | | | | = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.56/26.75 | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = % 187.56/26.75 | | | | | n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.56/26.75 | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | BETA: splitting (1450) gives: % 187.56/26.75 | | | | | % 187.56/26.75 | | | | | Case 1: % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | (1451) all_4_10 = n23 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | REDUCE: (744), (1451) imply: % 187.56/26.75 | | | | | | (1452) pred(n23) = all_4_6 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | REDUCE: (716), (1451) imply: % 187.56/26.75 | | | | | | (1453) succ(n23) = all_4_8 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | GROUND_INST: instantiating (2) with n24, all_4_8, n23, simplifying % 187.56/26.75 | | | | | | with (712), (1453) gives: % 187.56/26.75 | | | | | | (1454) all_4_8 = n24 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | GROUND_INST: instantiating (3) with n22, all_4_6, n23, simplifying % 187.56/26.75 | | | | | | with (740), (1452) gives: % 187.56/26.75 | | | | | | (1455) all_4_6 = n22 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | REDUCE: (686), (1454), (1455) imply: % 187.56/26.75 | | | | | | (1456) sum(n22, n24) = all_4_1 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | REDUCE: (1434), (1455) imply: % 187.56/26.75 | | | | | | (1457) sum(n22, n25) = all_4_4 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | REDUCE: (1436), (1454) imply: % 187.56/26.75 | | | | | | (1458) sum(n23, n24) = all_4_7 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n24, n22, % 187.56/26.75 | | | | | | simplifying with (603), (1456) gives: % 187.56/26.75 | | | | | | (1459) all_4_1 = n20 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n25, n22, % 187.56/26.75 | | | | | | simplifying with (604), (1457) gives: % 187.56/26.75 | | | | | | (1460) all_4_4 = n21 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n24, n23, % 187.56/26.75 | | | | | | simplifying with (629), (1458) gives: % 187.56/26.75 | | | | | | (1461) all_4_7 = n21 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | REF_CLOSE: (4), (6), (574), (599), (685), (1438), (1459), (1460), % 187.56/26.75 | | | | | | (1461) are inconsistent by sub-proof #287. % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | Case 2: % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | (1462) all_4_10 = n22 | all_4_10 = n21 | all_4_10 = n20 | % 187.56/26.75 | | | | | | all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.56/26.75 | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.56/26.75 | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.56/26.75 | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 % 187.56/26.75 | | | | | | = n7 | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.56/26.75 | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = % 187.56/26.75 | | | | | | n0 % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | BETA: splitting (1462) gives: % 187.56/26.75 | | | | | | % 187.56/26.75 | | | | | | Case 1: % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | (1463) all_4_10 = n22 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | REDUCE: (744), (1463) imply: % 187.56/26.75 | | | | | | | (1464) pred(n22) = all_4_6 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | REDUCE: (716), (1463) imply: % 187.56/26.75 | | | | | | | (1465) succ(n22) = all_4_8 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | GROUND_INST: instantiating (2) with n23, all_4_8, n22, simplifying % 187.56/26.75 | | | | | | | with (711), (1465) gives: % 187.56/26.75 | | | | | | | (1466) all_4_8 = n23 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | GROUND_INST: instantiating (3) with n21, all_4_6, n22, simplifying % 187.56/26.75 | | | | | | | with (739), (1464) gives: % 187.56/26.75 | | | | | | | (1467) all_4_6 = n21 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | REDUCE: (686), (1466), (1467) imply: % 187.56/26.75 | | | | | | | (1468) sum(n21, n23) = all_4_1 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | REDUCE: (1434), (1467) imply: % 187.56/26.75 | | | | | | | (1469) sum(n21, n25) = all_4_4 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | REDUCE: (1436), (1466) imply: % 187.56/26.75 | | | | | | | (1470) sum(n23, n23) = all_4_7 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n23, n21, % 187.56/26.75 | | | | | | | simplifying with (576), (1468) gives: % 187.56/26.75 | | | | | | | (1471) all_4_1 = n18 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n25, n21, % 187.56/26.75 | | | | | | | simplifying with (578), (1469) gives: % 187.56/26.75 | | | | | | | (1472) all_4_4 = n20 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n23, n23, % 187.56/26.75 | | | | | | | simplifying with (628), (1470) gives: % 187.56/26.75 | | | | | | | (1473) all_4_7 = n20 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | REF_CLOSE: (4), (6), (547), (597), (685), (1438), (1471), (1472), % 187.56/26.75 | | | | | | | (1473) are inconsistent by sub-proof #286. % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | Case 2: % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | (1474) all_4_10 = n21 | all_4_10 = n20 | all_4_10 = n19 | % 187.56/26.75 | | | | | | | all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 187.56/26.75 | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 187.56/26.75 | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.56/26.75 | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 % 187.56/26.75 | | | | | | | = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.56/26.75 | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | BETA: splitting (1474) gives: % 187.56/26.75 | | | | | | | % 187.56/26.75 | | | | | | | Case 1: % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | (1475) all_4_10 = n21 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | REDUCE: (744), (1475) imply: % 187.56/26.75 | | | | | | | | (1476) pred(n21) = all_4_6 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | REDUCE: (716), (1475) imply: % 187.56/26.75 | | | | | | | | (1477) succ(n21) = all_4_8 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_8, n21, % 187.56/26.75 | | | | | | | | simplifying with (710), (1477) gives: % 187.56/26.75 | | | | | | | | (1478) all_4_8 = n22 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_6, n21, % 187.56/26.75 | | | | | | | | simplifying with (738), (1476) gives: % 187.56/26.75 | | | | | | | | (1479) all_4_6 = n20 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | REDUCE: (686), (1478), (1479) imply: % 187.56/26.75 | | | | | | | | (1480) sum(n20, n22) = all_4_1 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | REDUCE: (1434), (1479) imply: % 187.56/26.75 | | | | | | | | (1481) sum(n20, n25) = all_4_4 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | REDUCE: (1436), (1478) imply: % 187.56/26.75 | | | | | | | | (1482) sum(n23, n22) = all_4_7 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n22, n20, % 187.56/26.75 | | | | | | | | simplifying with (549), (1480) gives: % 187.56/26.75 | | | | | | | | (1483) all_4_1 = n16 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n25, n20, % 187.56/26.75 | | | | | | | | simplifying with (552), (1481) gives: % 187.56/26.75 | | | | | | | | (1484) all_4_4 = n19 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n22, n23, % 187.56/26.75 | | | | | | | | simplifying with (627), (1482) gives: % 187.56/26.75 | | | | | | | | (1485) all_4_7 = n19 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | REF_CLOSE: (4), (6), (520), (595), (685), (1438), (1483), % 187.56/26.75 | | | | | | | | (1484), (1485) are inconsistent by sub-proof #285. % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | Case 2: % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | (1486) all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 187.56/26.75 | | | | | | | | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 187.56/26.75 | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 187.56/26.75 | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.56/26.75 | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.56/26.75 | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.56/26.75 | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | BETA: splitting (1486) gives: % 187.56/26.75 | | | | | | | | % 187.56/26.75 | | | | | | | | Case 1: % 187.56/26.75 | | | | | | | | | % 187.56/26.75 | | | | | | | | | (1487) all_4_10 = n20 % 187.56/26.75 | | | | | | | | | % 187.56/26.75 | | | | | | | | | REDUCE: (744), (1487) imply: % 187.56/26.75 | | | | | | | | | (1488) pred(n20) = all_4_6 % 187.56/26.75 | | | | | | | | | % 187.56/26.75 | | | | | | | | | REDUCE: (716), (1487) imply: % 187.56/26.75 | | | | | | | | | (1489) succ(n20) = all_4_8 % 187.56/26.75 | | | | | | | | | % 187.56/26.75 | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_8, n20, % 187.56/26.75 | | | | | | | | | simplifying with (709), (1489) gives: % 187.56/26.75 | | | | | | | | | (1490) all_4_8 = n21 % 187.56/26.75 | | | | | | | | | % 187.56/26.75 | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_6, n20, % 187.56/26.75 | | | | | | | | | simplifying with (737), (1488) gives: % 187.56/26.75 | | | | | | | | | (1491) all_4_6 = n19 % 187.56/26.75 | | | | | | | | | % 187.56/26.75 | | | | | | | | | REDUCE: (686), (1490), (1491) imply: % 187.56/26.75 | | | | | | | | | (1492) sum(n19, n21) = all_4_1 % 187.56/26.75 | | | | | | | | | % 187.56/26.75 | | | | | | | | | REDUCE: (1434), (1491) imply: % 187.56/26.76 | | | | | | | | | (1493) sum(n19, n25) = all_4_4 % 187.56/26.76 | | | | | | | | | % 187.56/26.76 | | | | | | | | | REDUCE: (1436), (1490) imply: % 187.56/26.76 | | | | | | | | | (1494) sum(n23, n21) = all_4_7 % 187.56/26.76 | | | | | | | | | % 187.56/26.76 | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n21, n19, % 187.56/26.76 | | | | | | | | | simplifying with (522), (1492) gives: % 187.56/26.76 | | | | | | | | | (1495) all_4_1 = n14 % 187.56/26.76 | | | | | | | | | % 187.56/26.76 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n25, n19, % 187.56/26.76 | | | | | | | | | simplifying with (526), (1493) gives: % 187.56/26.76 | | | | | | | | | (1496) all_4_4 = n18 % 187.56/26.76 | | | | | | | | | % 187.56/26.76 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n21, n23, % 187.56/26.76 | | | | | | | | | simplifying with (626), (1494) gives: % 187.56/26.76 | | | | | | | | | (1497) all_4_7 = n18 % 187.56/26.76 | | | | | | | | | % 187.56/26.76 | | | | | | | | | REF_CLOSE: (4), (6), (493), (593), (685), (1438), (1495), % 187.56/26.76 | | | | | | | | | (1496), (1497) are inconsistent by sub-proof #284. % 187.56/26.76 | | | | | | | | | % 187.56/26.76 | | | | | | | | Case 2: % 187.56/26.76 | | | | | | | | | % 187.78/26.76 | | | | | | | | | (1498) all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.78/26.76 | | | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.78/26.76 | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.78/26.76 | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.78/26.76 | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.78/26.76 | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.78/26.76 | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.76 | | | | | | | | | % 187.78/26.76 | | | | | | | | | BETA: splitting (1498) gives: % 187.78/26.76 | | | | | | | | | % 187.78/26.76 | | | | | | | | | Case 1: % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | (1499) all_4_10 = n19 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | REDUCE: (744), (1499) imply: % 187.78/26.76 | | | | | | | | | | (1500) pred(n19) = all_4_6 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | REDUCE: (716), (1499) imply: % 187.78/26.76 | | | | | | | | | | (1501) succ(n19) = all_4_8 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 187.78/26.76 | | | | | | | | | | simplifying with (708), (1501) gives: % 187.78/26.76 | | | | | | | | | | (1502) all_4_8 = n20 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 187.78/26.76 | | | | | | | | | | simplifying with (736), (1500) gives: % 187.78/26.76 | | | | | | | | | | (1503) all_4_6 = n18 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | REDUCE: (686), (1502), (1503) imply: % 187.78/26.76 | | | | | | | | | | (1504) sum(n18, n20) = all_4_1 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | REDUCE: (1434), (1503) imply: % 187.78/26.76 | | | | | | | | | | (1505) sum(n18, n25) = all_4_4 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | REDUCE: (1436), (1502) imply: % 187.78/26.76 | | | | | | | | | | (1506) sum(n23, n20) = all_4_7 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n20, n18, % 187.78/26.76 | | | | | | | | | | simplifying with (495), (1504) gives: % 187.78/26.76 | | | | | | | | | | (1507) all_4_1 = n12 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n25, n18, % 187.78/26.76 | | | | | | | | | | simplifying with (500), (1505) gives: % 187.78/26.76 | | | | | | | | | | (1508) all_4_4 = n17 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n20, n23, % 187.78/26.76 | | | | | | | | | | simplifying with (625), (1506) gives: % 187.78/26.76 | | | | | | | | | | (1509) all_4_7 = n17 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | REF_CLOSE: (4), (6), (466), (591), (685), (1438), (1507), % 187.78/26.76 | | | | | | | | | | (1508), (1509) are inconsistent by sub-proof #283. % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | Case 2: % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | (1510) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 187.78/26.76 | | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 187.78/26.76 | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.78/26.76 | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.78/26.76 | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.78/26.76 | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.76 | | | | | | | | | | all_4_10 = n0 % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | BETA: splitting (1510) gives: % 187.78/26.76 | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | Case 1: % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | (1511) all_4_10 = n18 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | REDUCE: (744), (1511) imply: % 187.78/26.76 | | | | | | | | | | | (1512) pred(n18) = all_4_6 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | REDUCE: (716), (1511) imply: % 187.78/26.76 | | | | | | | | | | | (1513) succ(n18) = all_4_8 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 187.78/26.76 | | | | | | | | | | | simplifying with (707), (1513) gives: % 187.78/26.76 | | | | | | | | | | | (1514) all_4_8 = n19 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 187.78/26.76 | | | | | | | | | | | simplifying with (735), (1512) gives: % 187.78/26.76 | | | | | | | | | | | (1515) all_4_6 = n17 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | REDUCE: (686), (1514), (1515) imply: % 187.78/26.76 | | | | | | | | | | | (1516) sum(n17, n19) = all_4_1 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | REDUCE: (1434), (1515) imply: % 187.78/26.76 | | | | | | | | | | | (1517) sum(n17, n25) = all_4_4 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | REDUCE: (1436), (1514) imply: % 187.78/26.76 | | | | | | | | | | | (1518) sum(n23, n19) = all_4_7 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 187.78/26.76 | | | | | | | | | | | simplifying with (468), (1516) gives: % 187.78/26.76 | | | | | | | | | | | (1519) all_4_1 = n10 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n25, n17, % 187.78/26.76 | | | | | | | | | | | simplifying with (474), (1517) gives: % 187.78/26.76 | | | | | | | | | | | (1520) all_4_4 = n16 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n19, n23, % 187.78/26.76 | | | | | | | | | | | simplifying with (624), (1518) gives: % 187.78/26.76 | | | | | | | | | | | (1521) all_4_7 = n16 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (589), (685), (1438), (1519), % 187.78/26.76 | | | | | | | | | | | (1520), (1521) are inconsistent by sub-proof #282. % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | Case 2: % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | (1522) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 187.78/26.76 | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 187.78/26.76 | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.78/26.76 | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.78/26.76 | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.78/26.76 | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | BETA: splitting (1522) gives: % 187.78/26.76 | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | Case 1: % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | (1523) all_4_10 = n17 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | REDUCE: (744), (1523) imply: % 187.78/26.76 | | | | | | | | | | | | (1524) pred(n17) = all_4_6 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | REDUCE: (716), (1523) imply: % 187.78/26.76 | | | | | | | | | | | | (1525) succ(n17) = all_4_8 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 187.78/26.76 | | | | | | | | | | | | simplifying with (706), (1525) gives: % 187.78/26.76 | | | | | | | | | | | | (1526) all_4_8 = n18 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 187.78/26.76 | | | | | | | | | | | | simplifying with (734), (1524) gives: % 187.78/26.76 | | | | | | | | | | | | (1527) all_4_6 = n16 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | REDUCE: (686), (1526), (1527) imply: % 187.78/26.76 | | | | | | | | | | | | (1528) sum(n16, n18) = all_4_1 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | REDUCE: (1434), (1527) imply: % 187.78/26.76 | | | | | | | | | | | | (1529) sum(n16, n25) = all_4_4 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | REDUCE: (1436), (1526) imply: % 187.78/26.76 | | | | | | | | | | | | (1530) sum(n23, n18) = all_4_7 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 187.78/26.76 | | | | | | | | | | | | simplifying with (441), (1528) gives: % 187.78/26.76 | | | | | | | | | | | | (1531) all_4_1 = n8 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n25, n16, % 187.78/26.76 | | | | | | | | | | | | simplifying with (448), (1529) gives: % 187.78/26.76 | | | | | | | | | | | | (1532) all_4_4 = n15 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n18, n23, % 187.78/26.76 | | | | | | | | | | | | simplifying with (623), (1530) gives: % 187.78/26.76 | | | | | | | | | | | | (1533) all_4_7 = n15 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (587), (685), (1438), (1531), % 187.78/26.76 | | | | | | | | | | | | (1532), (1533) are inconsistent by sub-proof #281. % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | Case 2: % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | (1534) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.78/26.76 | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.78/26.76 | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.78/26.76 | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.78/26.76 | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.78/26.76 | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | BETA: splitting (1534) gives: % 187.78/26.76 | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | Case 1: % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | (1535) all_4_10 = n16 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | REDUCE: (744), (1535) imply: % 187.78/26.76 | | | | | | | | | | | | | (1536) pred(n16) = all_4_6 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | REDUCE: (716), (1535) imply: % 187.78/26.76 | | | | | | | | | | | | | (1537) succ(n16) = all_4_8 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 187.78/26.76 | | | | | | | | | | | | | simplifying with (705), (1537) gives: % 187.78/26.76 | | | | | | | | | | | | | (1538) all_4_8 = n17 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 187.78/26.76 | | | | | | | | | | | | | simplifying with (733), (1536) gives: % 187.78/26.76 | | | | | | | | | | | | | (1539) all_4_6 = n15 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | REDUCE: (686), (1538), (1539) imply: % 187.78/26.76 | | | | | | | | | | | | | (1540) sum(n15, n17) = all_4_1 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | REDUCE: (1434), (1539) imply: % 187.78/26.76 | | | | | | | | | | | | | (1541) sum(n15, n25) = all_4_4 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | REDUCE: (1436), (1538) imply: % 187.78/26.76 | | | | | | | | | | | | | (1542) sum(n23, n17) = all_4_7 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 187.78/26.76 | | | | | | | | | | | | | simplifying with (414), (1540) gives: % 187.78/26.76 | | | | | | | | | | | | | (1543) all_4_1 = n6 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n25, n15, % 187.78/26.76 | | | | | | | | | | | | | simplifying with (422), (1541) gives: % 187.78/26.76 | | | | | | | | | | | | | (1544) all_4_4 = n14 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n17, n23, % 187.78/26.76 | | | | | | | | | | | | | simplifying with (622), (1542) gives: % 187.78/26.76 | | | | | | | | | | | | | (1545) all_4_7 = n14 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (585), (685), (1438), (1543), % 187.78/26.76 | | | | | | | | | | | | | (1544), (1545) are inconsistent by sub-proof #280. % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | Case 2: % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | (1546) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 187.78/26.76 | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.78/26.76 | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.78/26.76 | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.78/26.76 | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.76 | | | | | | | | | | | | | all_4_10 = n0 % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | BETA: splitting (1546) gives: % 187.78/26.76 | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | Case 1: % 187.78/26.76 | | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | | (1547) all_4_10 = n15 % 187.78/26.76 | | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | | REDUCE: (744), (1547) imply: % 187.78/26.76 | | | | | | | | | | | | | | (1548) pred(n15) = all_4_6 % 187.78/26.76 | | | | | | | | | | | | | | % 187.78/26.76 | | | | | | | | | | | | | | REDUCE: (716), (1547) imply: % 187.78/26.76 | | | | | | | | | | | | | | (1549) succ(n15) = all_4_8 % 187.78/26.76 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 187.78/26.77 | | | | | | | | | | | | | | simplifying with (704), (1549) gives: % 187.78/26.77 | | | | | | | | | | | | | | (1550) all_4_8 = n16 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 187.78/26.77 | | | | | | | | | | | | | | simplifying with (732), (1548) gives: % 187.78/26.77 | | | | | | | | | | | | | | (1551) all_4_6 = n14 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | REDUCE: (686), (1550), (1551) imply: % 187.78/26.77 | | | | | | | | | | | | | | (1552) sum(n14, n16) = all_4_1 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | REDUCE: (1434), (1551) imply: % 187.78/26.77 | | | | | | | | | | | | | | (1553) sum(n14, n25) = all_4_4 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | REDUCE: (1436), (1550) imply: % 187.78/26.77 | | | | | | | | | | | | | | (1554) sum(n23, n16) = all_4_7 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 187.78/26.77 | | | | | | | | | | | | | | simplifying with (387), (1552) gives: % 187.78/26.77 | | | | | | | | | | | | | | (1555) all_4_1 = n4 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n25, n14, % 187.78/26.77 | | | | | | | | | | | | | | simplifying with (396), (1553) gives: % 187.78/26.77 | | | | | | | | | | | | | | (1556) all_4_4 = n13 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n16, n23, % 187.78/26.77 | | | | | | | | | | | | | | simplifying with (621), (1554) gives: % 187.78/26.77 | | | | | | | | | | | | | | (1557) all_4_7 = n13 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (583), (685), (1438), (1555), % 187.78/26.77 | | | | | | | | | | | | | | (1556), (1557) are inconsistent by sub-proof #279. % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | Case 2: % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | (1558) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 187.78/26.77 | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.78/26.77 | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.78/26.77 | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.78/26.77 | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | BETA: splitting (1558) gives: % 187.78/26.77 | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | Case 1: % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | (1559) all_4_10 = n14 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | REDUCE: (744), (1559) imply: % 187.78/26.77 | | | | | | | | | | | | | | | (1560) pred(n14) = all_4_6 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | REDUCE: (716), (1559) imply: % 187.78/26.77 | | | | | | | | | | | | | | | (1561) succ(n14) = all_4_8 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 187.78/26.77 | | | | | | | | | | | | | | | simplifying with (703), (1561) gives: % 187.78/26.77 | | | | | | | | | | | | | | | (1562) all_4_8 = n15 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 187.78/26.77 | | | | | | | | | | | | | | | simplifying with (731), (1560) gives: % 187.78/26.77 | | | | | | | | | | | | | | | (1563) all_4_6 = n13 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | REDUCE: (686), (1562), (1563) imply: % 187.78/26.77 | | | | | | | | | | | | | | | (1564) sum(n13, n15) = all_4_1 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | REDUCE: (1434), (1563) imply: % 187.78/26.77 | | | | | | | | | | | | | | | (1565) sum(n13, n25) = all_4_4 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | REDUCE: (1436), (1562) imply: % 187.78/26.77 | | | | | | | | | | | | | | | (1566) sum(n23, n15) = all_4_7 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 187.78/26.77 | | | | | | | | | | | | | | | simplifying with (360), (1564) gives: % 187.78/26.77 | | | | | | | | | | | | | | | (1567) all_4_1 = n2 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n25, n13, % 187.78/26.77 | | | | | | | | | | | | | | | simplifying with (370), (1565) gives: % 187.78/26.77 | | | | | | | | | | | | | | | (1568) all_4_4 = n12 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n15, n23, % 187.78/26.77 | | | | | | | | | | | | | | | simplifying with (620), (1566) gives: % 187.78/26.77 | | | | | | | | | | | | | | | (1569) all_4_7 = n12 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (581), (685), (1438), (1567), % 187.78/26.77 | | | | | | | | | | | | | | | (1568), (1569) are inconsistent by sub-proof #278. % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | Case 2: % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | (1570) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.78/26.77 | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.78/26.77 | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.78/26.77 | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.78/26.77 | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | BETA: splitting (1570) gives: % 187.78/26.77 | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | Case 1: % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | (1571) all_4_10 = n13 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | REDUCE: (744), (1571) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | (1572) pred(n13) = all_4_6 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | REDUCE: (716), (1571) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | (1573) succ(n13) = all_4_8 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 187.78/26.77 | | | | | | | | | | | | | | | | simplifying with (702), (1573) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | (1574) all_4_8 = n14 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 187.78/26.77 | | | | | | | | | | | | | | | | simplifying with (730), (1572) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | (1575) all_4_6 = n12 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | REDUCE: (686), (1574), (1575) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | (1576) sum(n12, n14) = all_4_1 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | REDUCE: (1434), (1575) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | (1577) sum(n12, n25) = all_4_4 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | REDUCE: (1436), (1574) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | (1578) sum(n23, n14) = all_4_7 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 187.78/26.77 | | | | | | | | | | | | | | | | simplifying with (333), (1576) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | (1579) all_4_1 = n0 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n25, n12, % 187.78/26.77 | | | | | | | | | | | | | | | | simplifying with (344), (1577) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | (1580) all_4_4 = n11 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n14, n23, % 187.78/26.77 | | | | | | | | | | | | | | | | simplifying with (619), (1578) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | (1581) all_4_7 = n11 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (579), (685), (1438), (1579), % 187.78/26.77 | | | | | | | | | | | | | | | | (1580), (1581) are inconsistent by sub-proof #277. % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | Case 2: % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | (1582) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.78/26.77 | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.78/26.77 | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.78/26.77 | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.77 | | | | | | | | | | | | | | | | all_4_10 = n0 % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | BETA: splitting (1582) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | Case 1: % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | (1583) all_4_10 = n12 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REDUCE: (744), (1583) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1584) pred(n12) = all_4_6 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REDUCE: (716), (1583) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1585) succ(n12) = all_4_8 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 187.78/26.77 | | | | | | | | | | | | | | | | | simplifying with (701), (1585) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1586) all_4_8 = n13 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 187.78/26.77 | | | | | | | | | | | | | | | | | simplifying with (729), (1584) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1587) all_4_6 = n11 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REDUCE: (686), (1586), (1587) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1588) sum(n11, n13) = all_4_1 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REDUCE: (1434), (1587) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1589) sum(n11, n25) = all_4_4 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REDUCE: (1436), (1586) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1590) sum(n23, n13) = all_4_7 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 187.78/26.77 | | | | | | | | | | | | | | | | | simplifying with (306), (1588) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1591) all_4_1 = n24 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n25, n11, % 187.78/26.77 | | | | | | | | | | | | | | | | | simplifying with (318), (1589) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1592) all_4_4 = n10 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n13, n23, % 187.78/26.77 | | | | | | | | | | | | | | | | | simplifying with (618), (1590) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1593) all_4_7 = n10 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REDUCE: (685), (1592), (1593) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1594) sum(n10, n10) = all_4_3 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REDUCE: (1438), (1591) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | (1595) sum(n22, n24) = all_4_0 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (603), (1594), (1595) are % 187.78/26.77 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #300. % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | Case 2: % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | (1596) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.78/26.77 | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.78/26.77 | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.78/26.77 | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | BETA: splitting (1596) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1597) all_4_10 = n11 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (744), (1597) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1598) pred(n11) = all_4_6 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (716), (1597) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1599) succ(n11) = all_4_8 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 187.78/26.77 | | | | | | | | | | | | | | | | | | simplifying with (700), (1599) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1600) all_4_8 = n12 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 187.78/26.77 | | | | | | | | | | | | | | | | | | simplifying with (728), (1598) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1601) all_4_6 = n10 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (686), (1600), (1601) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1602) sum(n10, n12) = all_4_1 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1601) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1603) sum(n10, n25) = all_4_4 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1600) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1604) sum(n23, n12) = all_4_7 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 187.78/26.77 | | | | | | | | | | | | | | | | | | simplifying with (279), (1602) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1605) all_4_1 = n22 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n25, n10, % 187.78/26.77 | | | | | | | | | | | | | | | | | | simplifying with (292), (1603) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1606) all_4_4 = n9 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n12, n23, % 187.78/26.77 | | | | | | | | | | | | | | | | | | simplifying with (617), (1604) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1607) all_4_7 = n9 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (685), (1606), (1607) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1608) sum(n9, n9) = all_4_3 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1605) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1609) sum(n22, n22) = all_4_0 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (601), (1608), (1609) are % 187.78/26.77 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #276. % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | (1610) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.78/26.77 | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.78/26.77 | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.78/26.77 | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | BETA: splitting (1610) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.77 | | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | | (1611) all_4_10 = n10 % 187.78/26.77 | | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1611) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | | (1612) pred(n10) = all_4_6 % 187.78/26.77 | | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1611) imply: % 187.78/26.77 | | | | | | | | | | | | | | | | | | | (1613) succ(n10) = all_4_8 % 187.78/26.77 | | | | | | | | | | | | | | | | | | | % 187.78/26.77 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 187.78/26.77 | | | | | | | | | | | | | | | | | | | simplifying with (699), (1613) gives: % 187.78/26.77 | | | | | | | | | | | | | | | | | | | (1614) all_4_8 = n11 % 187.78/26.77 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | simplifying with (727), (1612) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1615) all_4_6 = n9 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1614), (1615) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1616) sum(n9, n11) = all_4_1 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1615) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1617) sum(n9, n25) = all_4_4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1614) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1618) sum(n23, n11) = all_4_7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | simplifying with (252), (1616) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1619) all_4_1 = n20 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n25, n9, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | simplifying with (266), (1617) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1620) all_4_4 = n8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n11, n23, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | simplifying with (616), (1618) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1621) all_4_7 = n8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1620), (1621) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1622) sum(n8, n8) = all_4_3 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1619) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1623) sum(n22, n20) = all_4_0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (599), (1622), (1623) are % 187.78/26.78 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275. % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | (1624) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1625) all_4_10 = n9 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1625) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1626) pred(n9) = all_4_6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1625) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1627) succ(n9) = all_4_8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | simplifying with (698), (1627) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1628) all_4_8 = n10 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | simplifying with (726), (1626) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1629) all_4_6 = n8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1628), (1629) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1630) sum(n8, n10) = all_4_1 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1629) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1631) sum(n8, n25) = all_4_4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1628) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1632) sum(n23, n10) = all_4_7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | simplifying with (225), (1630) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1633) all_4_1 = n18 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n25, n8, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | simplifying with (240), (1631) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1634) all_4_4 = n7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n10, n23, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | simplifying with (615), (1632) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1635) all_4_7 = n7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1634), (1635) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1636) sum(n7, n7) = all_4_3 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1633) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1637) sum(n22, n18) = all_4_0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (597), (1636), (1637) are % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274. % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | (1638) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1638) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1639) all_4_10 = n8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1639) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1640) pred(n8) = all_4_6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1639) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1641) succ(n8) = all_4_8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (1641) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1642) all_4_8 = n9 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (1640) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1643) all_4_6 = n7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1642), (1643) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1644) sum(n7, n9) = all_4_1 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1643) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1645) sum(n7, n25) = all_4_4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1642) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1646) sum(n23, n9) = all_4_7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (1644) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1647) all_4_1 = n16 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n25, n7, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | simplifying with (214), (1645) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1648) all_4_4 = n6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n9, n23, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | simplifying with (614), (1646) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1649) all_4_7 = n6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1648), (1649) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1650) sum(n6, n6) = all_4_3 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1647) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1651) sum(n22, n16) = all_4_0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (595), (1650), (1651) are % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #273. % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | (1652) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1652) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1653) all_4_10 = n7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1653) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1654) pred(n7) = all_4_6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1653) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1655) succ(n7) = all_4_8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (1655) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1656) all_4_8 = n8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (1654) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1657) all_4_6 = n6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1656), (1657) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1658) sum(n6, n8) = all_4_1 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1657) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1659) sum(n6, n25) = all_4_4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1656) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1660) sum(n23, n8) = all_4_7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (1658) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1661) all_4_1 = n14 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n25, n6, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (1659) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1662) all_4_4 = n5 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n8, n23, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | simplifying with (613), (1660) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1663) all_4_7 = n5 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1662), (1663) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1664) sum(n5, n5) = all_4_3 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1661) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1665) sum(n22, n14) = all_4_0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (593), (1664), (1665) are % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272. % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | (1666) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1667) all_4_10 = n6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1667) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1668) pred(n6) = all_4_6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1667) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1669) succ(n6) = all_4_8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (1669) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1670) all_4_8 = n7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (1668) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1671) all_4_6 = n5 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1670), (1671) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1672) sum(n5, n7) = all_4_1 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1671) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1673) sum(n5, n25) = all_4_4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1670) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1674) sum(n23, n7) = all_4_7 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (1672) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1675) all_4_1 = n12 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n25, n5, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (162), (1673) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1676) all_4_4 = n4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n7, n23, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (612), (1674) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1677) all_4_7 = n4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1676), (1677) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1678) sum(n4, n4) = all_4_3 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1675) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1679) sum(n22, n12) = all_4_0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (591), (1678), (1679) are % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271. % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | (1680) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1680) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_4_10 = n5 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1681) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (1682) pred(n5) = all_4_6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1681) imply: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (1683) succ(n5) = all_4_8 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (1683) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_4_8 = n6 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (1682) gives: % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_4_6 = n4 % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1684), (1685) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1686) sum(n4, n6) = all_4_1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1685) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1687) sum(n4, n25) = all_4_4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1684) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1688) sum(n23, n6) = all_4_7 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (1686) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_4_1 = n10 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n25, n4, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (136), (1687) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1690) all_4_4 = n3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n6, n23, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (611), (1688) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_4_7 = n3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1690), (1691) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1692) sum(n3, n3) = all_4_3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1689) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1693) sum(n22, n10) = all_4_0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (589), (1692), (1693) are % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270. % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1694) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_4_10 = n4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1695) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1696) pred(n4) = all_4_6 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1695) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1697) succ(n4) = all_4_8 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (1697) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_4_8 = n5 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (1696) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_4_6 = n3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1698), (1699) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1700) sum(n3, n5) = all_4_1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1699) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1701) sum(n3, n25) = all_4_4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1698) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1702) sum(n23, n5) = all_4_7 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (1700) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_4_1 = n8 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n25, n3, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (110), (1701) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_4_4 = n2 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n5, n23, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (610), (1702) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_4_7 = n2 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1704), (1705) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1706) sum(n2, n2) = all_4_3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1703) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1707) sum(n22, n8) = all_4_0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (587), (1706), (1707) are % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #269. % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1708) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_4_10 = n3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1709) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) pred(n3) = all_4_6 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1709) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) succ(n3) = all_4_8 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (1711) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_4_8 = n4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (1710) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_4_6 = n2 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1712), (1713) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) sum(n2, n4) = all_4_1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1713) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) sum(n2, n25) = all_4_4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1712) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) sum(n23, n4) = all_4_7 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (1714) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_4_1 = n6 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n25, n2, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (84), (1715) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_4_4 = n1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n4, n23, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (609), (1716) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_4_7 = n1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1718), (1719) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) sum(n1, n1) = all_4_3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1717) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) sum(n22, n6) = all_4_0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (585), (1720), (1721) are % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #268. % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1722) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_4_10 = n2 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1723) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) pred(n2) = all_4_6 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1723) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) succ(n2) = all_4_8 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (1725) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_4_8 = n3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (1724) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_4_6 = n1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1726), (1727) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) sum(n1, n3) = all_4_1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1727) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) sum(n1, n25) = all_4_4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1726) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) sum(n23, n3) = all_4_7 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (1728) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_4_1 = n4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n25, n1, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (1729) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_4_4 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n3, n23, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (608), (1730) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_4_7 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1732), (1733) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) sum(n0, n0) = all_4_3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1731) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) sum(n22, n4) = all_4_0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (583), (1734), (1735) are % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267. % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_4_10 = n1 | all_4_10 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1736) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_4_10 = n1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1737) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) pred(n1) = all_4_6 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1737) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) succ(n1) = all_4_8 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (1739) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_4_8 = n2 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (1738) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_4_6 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1740), (1741) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) sum(n0, n2) = all_4_1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1741) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) sum(n0, n25) = all_4_4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1740) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) sum(n23, n2) = all_4_7 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (1742) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_4_1 = n2 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n25, n0, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (1743) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_4_4 = n25 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n2, n23, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (607), (1744) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_4_7 = n25 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1746), (1747) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) sum(n25, n25) = all_4_3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1745) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) sum(n22, n2) = all_4_0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (581), (682), (1748), (1749) are % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #266. % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_4_10 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1750) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) pred(n0) = all_4_6 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (1750) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) succ(n0) = all_4_8 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (1752) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_4_8 = n1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (1751) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_4_6 = n25 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (1753), (1754) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) sum(n25, n1) = all_4_1 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1754) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) sum(n25, n25) = all_4_4 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1753) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) sum(n23, n1) = all_4_7 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n1, n23, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (606), (1757) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_4_7 = n24 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (1755) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_4_1 = n0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n25, n25, % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (682), (1756) gives: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_4_4 = n24 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1758), (1760) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) sum(n24, n24) = all_4_3 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1759) imply: % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) sum(n22, n0) = all_4_0 % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (579), (655), (1761), (1762) are % 187.78/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265. % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | | % 187.78/26.80 | | | | | | | | | End of split % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | End of split % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | End of split % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | End of split % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | End of split % 187.78/26.80 | | | | | % 187.78/26.80 | | | | End of split % 187.78/26.80 | | | | % 187.78/26.80 | | | Case 2: % 187.78/26.80 | | | | % 187.78/26.80 | | | | (1763) all_4_11 = n23 | all_4_11 = n22 | all_4_11 = n21 | all_4_11 = % 187.78/26.80 | | | | n20 | all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 187.78/26.80 | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = % 187.78/26.80 | | | | n13 | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.78/26.80 | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 % 187.78/26.80 | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = % 187.78/26.80 | | | | n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.80 | | | | % 187.78/26.80 | | | | BETA: splitting (1428) gives: % 187.78/26.80 | | | | % 187.78/26.80 | | | | Case 1: % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | (1764) all_4_10 = n24 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | REDUCE: (744), (1764) imply: % 187.78/26.80 | | | | | (1765) pred(n24) = all_4_6 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | REDUCE: (716), (1764) imply: % 187.78/26.80 | | | | | (1766) succ(n24) = all_4_8 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | GROUND_INST: instantiating (2) with n25, all_4_8, n24, simplifying % 187.78/26.80 | | | | | with (713), (1766) gives: % 187.78/26.80 | | | | | (1767) all_4_8 = n25 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | GROUND_INST: instantiating (3) with n23, all_4_6, n24, simplifying % 187.78/26.80 | | | | | with (741), (1765) gives: % 187.78/26.80 | | | | | (1768) all_4_6 = n23 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | REDUCE: (687), (1768) imply: % 187.78/26.80 | | | | | (1769) sum(n23, all_4_5) = all_4_4 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | REDUCE: (686), (1767), (1768) imply: % 187.78/26.80 | | | | | (1770) sum(n23, n25) = all_4_1 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | REDUCE: (683), (1767) imply: % 187.78/26.80 | | | | | (1771) sum(all_4_9, n25) = all_4_7 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n25, n23, % 187.78/26.80 | | | | | simplifying with (630), (1770) gives: % 187.78/26.80 | | | | | (1772) all_4_1 = n22 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | REDUCE: (688), (1772) imply: % 187.78/26.80 | | | | | (1773) sum(all_4_2, n22) = all_4_0 % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | BETA: splitting (1763) gives: % 187.78/26.80 | | | | | % 187.78/26.80 | | | | | Case 1: % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | (1774) all_4_11 = n23 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | REDUCE: (743), (1774) imply: % 187.78/26.80 | | | | | | (1775) pred(n23) = all_4_9 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | REDUCE: (715), (1774) imply: % 187.78/26.80 | | | | | | (1776) succ(n23) = all_4_5 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | GROUND_INST: instantiating (2) with n24, all_4_5, n23, simplifying % 187.78/26.80 | | | | | | with (712), (1776) gives: % 187.78/26.80 | | | | | | (1777) all_4_5 = n24 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | GROUND_INST: instantiating (3) with n22, all_4_9, n23, simplifying % 187.78/26.80 | | | | | | with (740), (1775) gives: % 187.78/26.80 | | | | | | (1778) all_4_9 = n22 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | REDUCE: (684), (1777), (1778) imply: % 187.78/26.80 | | | | | | (1779) sum(n22, n24) = all_4_2 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | REDUCE: (1771), (1778) imply: % 187.78/26.80 | | | | | | (1780) sum(n22, n25) = all_4_7 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | REDUCE: (1769), (1777) imply: % 187.78/26.80 | | | | | | (1781) sum(n23, n24) = all_4_4 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n24, n22, % 187.78/26.80 | | | | | | simplifying with (603), (1779) gives: % 187.78/26.80 | | | | | | (1782) all_4_2 = n20 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n25, n22, % 187.78/26.80 | | | | | | simplifying with (604), (1780) gives: % 187.78/26.80 | | | | | | (1783) all_4_7 = n21 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n24, n23, % 187.78/26.80 | | | | | | simplifying with (629), (1781) gives: % 187.78/26.80 | | | | | | (1784) all_4_4 = n21 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | REF_CLOSE: (4), (6), (549), (574), (685), (1773), (1782), (1783), % 187.78/26.80 | | | | | | (1784) are inconsistent by sub-proof #264. % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | Case 2: % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | (1785) all_4_11 = n22 | all_4_11 = n21 | all_4_11 = n20 | % 187.78/26.80 | | | | | | all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 187.78/26.80 | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 187.78/26.80 | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 187.78/26.80 | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | all_4_11 % 187.78/26.80 | | | | | | = n7 | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.78/26.80 | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = % 187.78/26.80 | | | | | | n0 % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | BETA: splitting (1785) gives: % 187.78/26.80 | | | | | | % 187.78/26.80 | | | | | | Case 1: % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | (1786) all_4_11 = n22 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | REDUCE: (743), (1786) imply: % 187.78/26.80 | | | | | | | (1787) pred(n22) = all_4_9 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | REDUCE: (715), (1786) imply: % 187.78/26.80 | | | | | | | (1788) succ(n22) = all_4_5 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | GROUND_INST: instantiating (2) with n23, all_4_5, n22, simplifying % 187.78/26.80 | | | | | | | with (711), (1788) gives: % 187.78/26.80 | | | | | | | (1789) all_4_5 = n23 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | GROUND_INST: instantiating (3) with n21, all_4_9, n22, simplifying % 187.78/26.80 | | | | | | | with (739), (1787) gives: % 187.78/26.80 | | | | | | | (1790) all_4_9 = n21 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | REDUCE: (684), (1789), (1790) imply: % 187.78/26.80 | | | | | | | (1791) sum(n21, n23) = all_4_2 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | REDUCE: (1771), (1790) imply: % 187.78/26.80 | | | | | | | (1792) sum(n21, n25) = all_4_7 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | REDUCE: (1769), (1789) imply: % 187.78/26.80 | | | | | | | (1793) sum(n23, n23) = all_4_4 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n23, n21, % 187.78/26.80 | | | | | | | simplifying with (576), (1791) gives: % 187.78/26.80 | | | | | | | (1794) all_4_2 = n18 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n25, n21, % 187.78/26.80 | | | | | | | simplifying with (578), (1792) gives: % 187.78/26.80 | | | | | | | (1795) all_4_7 = n20 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n23, n23, % 187.78/26.80 | | | | | | | simplifying with (628), (1793) gives: % 187.78/26.80 | | | | | | | (1796) all_4_4 = n20 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | REF_CLOSE: (4), (6), (497), (547), (685), (1773), (1794), (1795), % 187.78/26.80 | | | | | | | (1796) are inconsistent by sub-proof #263. % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | Case 2: % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | (1797) all_4_11 = n21 | all_4_11 = n20 | all_4_11 = n19 | % 187.78/26.80 | | | | | | | all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 187.78/26.80 | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 187.78/26.80 | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.78/26.80 | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 % 187.78/26.80 | | | | | | | = n6 | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.78/26.80 | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | BETA: splitting (1797) gives: % 187.78/26.80 | | | | | | | % 187.78/26.80 | | | | | | | Case 1: % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | (1798) all_4_11 = n21 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | REDUCE: (743), (1798) imply: % 187.78/26.80 | | | | | | | | (1799) pred(n21) = all_4_9 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | REDUCE: (715), (1798) imply: % 187.78/26.80 | | | | | | | | (1800) succ(n21) = all_4_5 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_5, n21, % 187.78/26.80 | | | | | | | | simplifying with (710), (1800) gives: % 187.78/26.80 | | | | | | | | (1801) all_4_5 = n22 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_9, n21, % 187.78/26.80 | | | | | | | | simplifying with (738), (1799) gives: % 187.78/26.80 | | | | | | | | (1802) all_4_9 = n20 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | REDUCE: (684), (1801), (1802) imply: % 187.78/26.80 | | | | | | | | (1803) sum(n20, n22) = all_4_2 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | REDUCE: (1771), (1802) imply: % 187.78/26.80 | | | | | | | | (1804) sum(n20, n25) = all_4_7 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | REDUCE: (1769), (1801) imply: % 187.78/26.80 | | | | | | | | (1805) sum(n23, n22) = all_4_4 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n22, n20, % 187.78/26.80 | | | | | | | | simplifying with (549), (1803) gives: % 187.78/26.80 | | | | | | | | (1806) all_4_2 = n16 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n25, n20, % 187.78/26.80 | | | | | | | | simplifying with (552), (1804) gives: % 187.78/26.80 | | | | | | | | (1807) all_4_7 = n19 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n22, n23, % 187.78/26.80 | | | | | | | | simplifying with (627), (1805) gives: % 187.78/26.80 | | | | | | | | (1808) all_4_4 = n19 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | REF_CLOSE: (4), (6), (445), (520), (685), (1773), (1806), % 187.78/26.80 | | | | | | | | (1807), (1808) are inconsistent by sub-proof #262. % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | Case 2: % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | (1809) all_4_11 = n20 | all_4_11 = n19 | all_4_11 = n18 | % 187.78/26.80 | | | | | | | | all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 187.78/26.80 | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 187.78/26.80 | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.78/26.80 | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.78/26.80 | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.78/26.80 | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | BETA: splitting (1809) gives: % 187.78/26.80 | | | | | | | | % 187.78/26.80 | | | | | | | | Case 1: % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | (1810) all_4_11 = n20 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | REDUCE: (743), (1810) imply: % 187.78/26.80 | | | | | | | | | (1811) pred(n20) = all_4_9 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | REDUCE: (715), (1810) imply: % 187.78/26.80 | | | | | | | | | (1812) succ(n20) = all_4_5 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_5, n20, % 187.78/26.80 | | | | | | | | | simplifying with (709), (1812) gives: % 187.78/26.80 | | | | | | | | | (1813) all_4_5 = n21 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_9, n20, % 187.78/26.80 | | | | | | | | | simplifying with (737), (1811) gives: % 187.78/26.80 | | | | | | | | | (1814) all_4_9 = n19 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | REDUCE: (684), (1813), (1814) imply: % 187.78/26.80 | | | | | | | | | (1815) sum(n19, n21) = all_4_2 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | REDUCE: (1771), (1814) imply: % 187.78/26.80 | | | | | | | | | (1816) sum(n19, n25) = all_4_7 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | REDUCE: (1769), (1813) imply: % 187.78/26.80 | | | | | | | | | (1817) sum(n23, n21) = all_4_4 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n21, n19, % 187.78/26.80 | | | | | | | | | simplifying with (522), (1815) gives: % 187.78/26.80 | | | | | | | | | (1818) all_4_2 = n14 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n25, n19, % 187.78/26.80 | | | | | | | | | simplifying with (526), (1816) gives: % 187.78/26.80 | | | | | | | | | (1819) all_4_7 = n18 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n21, n23, % 187.78/26.80 | | | | | | | | | simplifying with (626), (1817) gives: % 187.78/26.80 | | | | | | | | | (1820) all_4_4 = n18 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | REF_CLOSE: (4), (6), (393), (493), (685), (1773), (1818), % 187.78/26.80 | | | | | | | | | (1819), (1820) are inconsistent by sub-proof #261. % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | Case 2: % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | (1821) all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 187.78/26.80 | | | | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 187.78/26.80 | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 187.78/26.80 | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.78/26.80 | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.78/26.80 | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.78/26.80 | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | BETA: splitting (1821) gives: % 187.78/26.80 | | | | | | | | | % 187.78/26.80 | | | | | | | | | Case 1: % 187.78/26.80 | | | | | | | | | | % 187.78/26.80 | | | | | | | | | | (1822) all_4_11 = n19 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | REDUCE: (743), (1822) imply: % 187.78/26.81 | | | | | | | | | | (1823) pred(n19) = all_4_9 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | REDUCE: (715), (1822) imply: % 187.78/26.81 | | | | | | | | | | (1824) succ(n19) = all_4_5 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_5, n19, % 187.78/26.81 | | | | | | | | | | simplifying with (708), (1824) gives: % 187.78/26.81 | | | | | | | | | | (1825) all_4_5 = n20 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_9, n19, % 187.78/26.81 | | | | | | | | | | simplifying with (736), (1823) gives: % 187.78/26.81 | | | | | | | | | | (1826) all_4_9 = n18 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | REDUCE: (684), (1825), (1826) imply: % 187.78/26.81 | | | | | | | | | | (1827) sum(n18, n20) = all_4_2 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | REDUCE: (1771), (1826) imply: % 187.78/26.81 | | | | | | | | | | (1828) sum(n18, n25) = all_4_7 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | REDUCE: (1769), (1825) imply: % 187.78/26.81 | | | | | | | | | | (1829) sum(n23, n20) = all_4_4 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n20, n18, % 187.78/26.81 | | | | | | | | | | simplifying with (495), (1827) gives: % 187.78/26.81 | | | | | | | | | | (1830) all_4_2 = n12 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n25, n18, % 187.78/26.81 | | | | | | | | | | simplifying with (500), (1828) gives: % 187.78/26.81 | | | | | | | | | | (1831) all_4_7 = n17 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n20, n23, % 187.78/26.81 | | | | | | | | | | simplifying with (625), (1829) gives: % 187.78/26.81 | | | | | | | | | | (1832) all_4_4 = n17 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | REF_CLOSE: (4), (6), (341), (466), (685), (1773), (1830), % 187.78/26.81 | | | | | | | | | | (1831), (1832) are inconsistent by sub-proof #260. % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | Case 2: % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | (1833) all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 187.78/26.81 | | | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 187.78/26.81 | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.78/26.81 | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.78/26.81 | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.78/26.81 | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.78/26.81 | | | | | | | | | | all_4_11 = n0 % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | BETA: splitting (1833) gives: % 187.78/26.81 | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | Case 1: % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | (1834) all_4_11 = n18 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | REDUCE: (743), (1834) imply: % 187.78/26.81 | | | | | | | | | | | (1835) pred(n18) = all_4_9 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | REDUCE: (715), (1834) imply: % 187.78/26.81 | | | | | | | | | | | (1836) succ(n18) = all_4_5 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 187.78/26.81 | | | | | | | | | | | simplifying with (707), (1836) gives: % 187.78/26.81 | | | | | | | | | | | (1837) all_4_5 = n19 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 187.78/26.81 | | | | | | | | | | | simplifying with (735), (1835) gives: % 187.78/26.81 | | | | | | | | | | | (1838) all_4_9 = n17 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | REDUCE: (684), (1837), (1838) imply: % 187.78/26.81 | | | | | | | | | | | (1839) sum(n17, n19) = all_4_2 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | REDUCE: (1771), (1838) imply: % 187.78/26.81 | | | | | | | | | | | (1840) sum(n17, n25) = all_4_7 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | REDUCE: (1769), (1837) imply: % 187.78/26.81 | | | | | | | | | | | (1841) sum(n23, n19) = all_4_4 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 187.78/26.81 | | | | | | | | | | | simplifying with (468), (1839) gives: % 187.78/26.81 | | | | | | | | | | | (1842) all_4_2 = n10 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n25, n17, % 187.78/26.81 | | | | | | | | | | | simplifying with (474), (1840) gives: % 187.78/26.81 | | | | | | | | | | | (1843) all_4_7 = n16 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n19, n23, % 187.78/26.81 | | | | | | | | | | | simplifying with (624), (1841) gives: % 187.78/26.81 | | | | | | | | | | | (1844) all_4_4 = n16 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | REF_CLOSE: (4), (6), (289), (439), (685), (1773), (1842), % 187.78/26.81 | | | | | | | | | | | (1843), (1844) are inconsistent by sub-proof #259. % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | Case 2: % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | (1845) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 187.78/26.81 | | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 187.78/26.81 | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.78/26.81 | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.78/26.81 | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.78/26.81 | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | BETA: splitting (1845) gives: % 187.78/26.81 | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | Case 1: % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | (1846) all_4_11 = n17 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | REDUCE: (743), (1846) imply: % 187.78/26.81 | | | | | | | | | | | | (1847) pred(n17) = all_4_9 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | REDUCE: (715), (1846) imply: % 187.78/26.81 | | | | | | | | | | | | (1848) succ(n17) = all_4_5 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 187.78/26.81 | | | | | | | | | | | | simplifying with (706), (1848) gives: % 187.78/26.81 | | | | | | | | | | | | (1849) all_4_5 = n18 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 187.78/26.81 | | | | | | | | | | | | simplifying with (734), (1847) gives: % 187.78/26.81 | | | | | | | | | | | | (1850) all_4_9 = n16 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | REDUCE: (684), (1849), (1850) imply: % 187.78/26.81 | | | | | | | | | | | | (1851) sum(n16, n18) = all_4_2 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | REDUCE: (1771), (1850) imply: % 187.78/26.81 | | | | | | | | | | | | (1852) sum(n16, n25) = all_4_7 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | REDUCE: (1769), (1849) imply: % 187.78/26.81 | | | | | | | | | | | | (1853) sum(n23, n18) = all_4_4 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 187.78/26.81 | | | | | | | | | | | | simplifying with (441), (1851) gives: % 187.78/26.81 | | | | | | | | | | | | (1854) all_4_2 = n8 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n25, n16, % 187.78/26.81 | | | | | | | | | | | | simplifying with (448), (1852) gives: % 187.78/26.81 | | | | | | | | | | | | (1855) all_4_7 = n15 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n18, n23, % 187.78/26.81 | | | | | | | | | | | | simplifying with (623), (1853) gives: % 187.78/26.81 | | | | | | | | | | | | (1856) all_4_4 = n15 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | REF_CLOSE: (4), (6), (237), (412), (685), (1773), (1854), % 187.78/26.81 | | | | | | | | | | | | (1855), (1856) are inconsistent by sub-proof #258. % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | Case 2: % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | (1857) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 187.78/26.81 | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 187.78/26.81 | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.78/26.81 | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.78/26.81 | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.78/26.81 | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | BETA: splitting (1857) gives: % 187.78/26.81 | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | Case 1: % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | (1858) all_4_11 = n16 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | REDUCE: (743), (1858) imply: % 187.78/26.81 | | | | | | | | | | | | | (1859) pred(n16) = all_4_9 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | REDUCE: (715), (1858) imply: % 187.78/26.81 | | | | | | | | | | | | | (1860) succ(n16) = all_4_5 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 187.78/26.81 | | | | | | | | | | | | | simplifying with (705), (1860) gives: % 187.78/26.81 | | | | | | | | | | | | | (1861) all_4_5 = n17 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 187.78/26.81 | | | | | | | | | | | | | simplifying with (733), (1859) gives: % 187.78/26.81 | | | | | | | | | | | | | (1862) all_4_9 = n15 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | REDUCE: (684), (1861), (1862) imply: % 187.78/26.81 | | | | | | | | | | | | | (1863) sum(n15, n17) = all_4_2 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | REDUCE: (1771), (1862) imply: % 187.78/26.81 | | | | | | | | | | | | | (1864) sum(n15, n25) = all_4_7 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | REDUCE: (1769), (1861) imply: % 187.78/26.81 | | | | | | | | | | | | | (1865) sum(n23, n17) = all_4_4 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 187.78/26.81 | | | | | | | | | | | | | simplifying with (414), (1863) gives: % 187.78/26.81 | | | | | | | | | | | | | (1866) all_4_2 = n6 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n25, n15, % 187.78/26.81 | | | | | | | | | | | | | simplifying with (422), (1864) gives: % 187.78/26.81 | | | | | | | | | | | | | (1867) all_4_7 = n14 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n17, n23, % 187.78/26.81 | | | | | | | | | | | | | simplifying with (622), (1865) gives: % 187.78/26.81 | | | | | | | | | | | | | (1868) all_4_4 = n14 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (185), (385), (685), (1773), (1866), % 187.78/26.81 | | | | | | | | | | | | | (1867), (1868) are inconsistent by sub-proof #257. % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | Case 2: % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | (1869) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 187.78/26.81 | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.78/26.81 | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.78/26.81 | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.78/26.81 | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.78/26.81 | | | | | | | | | | | | | all_4_11 = n0 % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | BETA: splitting (1869) gives: % 187.78/26.81 | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | Case 1: % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | (1870) all_4_11 = n15 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | REDUCE: (743), (1870) imply: % 187.78/26.81 | | | | | | | | | | | | | | (1871) pred(n15) = all_4_9 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | REDUCE: (715), (1870) imply: % 187.78/26.81 | | | | | | | | | | | | | | (1872) succ(n15) = all_4_5 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 187.78/26.81 | | | | | | | | | | | | | | simplifying with (704), (1872) gives: % 187.78/26.81 | | | | | | | | | | | | | | (1873) all_4_5 = n16 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 187.78/26.81 | | | | | | | | | | | | | | simplifying with (732), (1871) gives: % 187.78/26.81 | | | | | | | | | | | | | | (1874) all_4_9 = n14 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | REDUCE: (684), (1873), (1874) imply: % 187.78/26.81 | | | | | | | | | | | | | | (1875) sum(n14, n16) = all_4_2 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | REDUCE: (1771), (1874) imply: % 187.78/26.81 | | | | | | | | | | | | | | (1876) sum(n14, n25) = all_4_7 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | REDUCE: (1769), (1873) imply: % 187.78/26.81 | | | | | | | | | | | | | | (1877) sum(n23, n16) = all_4_4 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 187.78/26.81 | | | | | | | | | | | | | | simplifying with (387), (1875) gives: % 187.78/26.81 | | | | | | | | | | | | | | (1878) all_4_2 = n4 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n25, n14, % 187.78/26.81 | | | | | | | | | | | | | | simplifying with (396), (1876) gives: % 187.78/26.81 | | | | | | | | | | | | | | (1879) all_4_7 = n13 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n16, n23, % 187.78/26.81 | | | | | | | | | | | | | | simplifying with (621), (1877) gives: % 187.78/26.81 | | | | | | | | | | | | | | (1880) all_4_4 = n13 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (133), (358), (685), (1773), (1878), % 187.78/26.81 | | | | | | | | | | | | | | (1879), (1880) are inconsistent by sub-proof #256. % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | Case 2: % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | (1881) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 187.78/26.81 | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.78/26.81 | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.78/26.81 | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.78/26.81 | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | BETA: splitting (1881) gives: % 187.78/26.81 | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | Case 1: % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | (1882) all_4_11 = n14 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | REDUCE: (743), (1882) imply: % 187.78/26.81 | | | | | | | | | | | | | | | (1883) pred(n14) = all_4_9 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | REDUCE: (715), (1882) imply: % 187.78/26.81 | | | | | | | | | | | | | | | (1884) succ(n14) = all_4_5 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 187.78/26.81 | | | | | | | | | | | | | | | simplifying with (703), (1884) gives: % 187.78/26.81 | | | | | | | | | | | | | | | (1885) all_4_5 = n15 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 187.78/26.81 | | | | | | | | | | | | | | | simplifying with (731), (1883) gives: % 187.78/26.81 | | | | | | | | | | | | | | | (1886) all_4_9 = n13 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | REDUCE: (684), (1885), (1886) imply: % 187.78/26.81 | | | | | | | | | | | | | | | (1887) sum(n13, n15) = all_4_2 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | REDUCE: (1771), (1886) imply: % 187.78/26.81 | | | | | | | | | | | | | | | (1888) sum(n13, n25) = all_4_7 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | REDUCE: (1769), (1885) imply: % 187.78/26.81 | | | | | | | | | | | | | | | (1889) sum(n23, n15) = all_4_4 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 187.78/26.81 | | | | | | | | | | | | | | | simplifying with (360), (1887) gives: % 187.78/26.81 | | | | | | | | | | | | | | | (1890) all_4_2 = n2 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n25, n13, % 187.78/26.81 | | | | | | | | | | | | | | | simplifying with (370), (1888) gives: % 187.78/26.81 | | | | | | | | | | | | | | | (1891) all_4_7 = n12 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n15, n23, % 187.78/26.81 | | | | | | | | | | | | | | | simplifying with (620), (1889) gives: % 187.78/26.81 | | | | | | | | | | | | | | | (1892) all_4_4 = n12 % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (81), (331), (685), (1773), (1890), % 187.78/26.81 | | | | | | | | | | | | | | | (1891), (1892) are inconsistent by sub-proof #255. % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.81 | | | | | | | | | | | | | | Case 2: % 187.78/26.81 | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | (1893) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 187.78/26.82 | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.78/26.82 | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.78/26.82 | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.78/26.82 | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.82 | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | BETA: splitting (1893) gives: % 187.78/26.82 | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | Case 1: % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | (1894) all_4_11 = n13 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | REDUCE: (743), (1894) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | (1895) pred(n13) = all_4_9 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | REDUCE: (715), (1894) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | (1896) succ(n13) = all_4_5 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 187.78/26.82 | | | | | | | | | | | | | | | | simplifying with (702), (1896) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | (1897) all_4_5 = n14 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 187.78/26.82 | | | | | | | | | | | | | | | | simplifying with (730), (1895) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | (1898) all_4_9 = n12 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | REDUCE: (684), (1897), (1898) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | (1899) sum(n12, n14) = all_4_2 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | REDUCE: (1771), (1898) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | (1900) sum(n12, n25) = all_4_7 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | REDUCE: (1769), (1897) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | (1901) sum(n23, n14) = all_4_4 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 187.78/26.82 | | | | | | | | | | | | | | | | simplifying with (333), (1899) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | (1902) all_4_2 = n0 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n25, n12, % 187.78/26.82 | | | | | | | | | | | | | | | | simplifying with (344), (1900) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | (1903) all_4_7 = n11 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n14, n23, % 187.78/26.82 | | | | | | | | | | | | | | | | simplifying with (619), (1901) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | (1904) all_4_4 = n11 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (29), (304), (685), (1773), (1902), % 187.78/26.82 | | | | | | | | | | | | | | | | (1903), (1904) are inconsistent by sub-proof #254. % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | Case 2: % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | (1905) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 187.78/26.82 | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.78/26.82 | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.78/26.82 | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.78/26.82 | | | | | | | | | | | | | | | | all_4_11 = n0 % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | BETA: splitting (1905) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | Case 1: % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | (1906) all_4_11 = n12 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REDUCE: (743), (1906) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1907) pred(n12) = all_4_9 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REDUCE: (715), (1906) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1908) succ(n12) = all_4_5 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 187.78/26.82 | | | | | | | | | | | | | | | | | simplifying with (701), (1908) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1909) all_4_5 = n13 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 187.78/26.82 | | | | | | | | | | | | | | | | | simplifying with (729), (1907) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1910) all_4_9 = n11 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REDUCE: (684), (1909), (1910) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1911) sum(n11, n13) = all_4_2 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REDUCE: (1771), (1910) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1912) sum(n11, n25) = all_4_7 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REDUCE: (1769), (1909) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1913) sum(n23, n13) = all_4_4 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 187.78/26.82 | | | | | | | | | | | | | | | | | simplifying with (306), (1911) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1914) all_4_2 = n24 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n25, n11, % 187.78/26.82 | | | | | | | | | | | | | | | | | simplifying with (318), (1912) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1915) all_4_7 = n10 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n13, n23, % 187.78/26.82 | | | | | | | | | | | | | | | | | simplifying with (618), (1913) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1916) all_4_4 = n10 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REDUCE: (1773), (1914) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1917) sum(n24, n22) = all_4_0 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REDUCE: (685), (1915), (1916) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | (1918) sum(n10, n10) = all_4_3 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (653), (1917), (1918) are % 187.78/26.82 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #324. % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | Case 2: % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | (1919) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 187.78/26.82 | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.78/26.82 | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.78/26.82 | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1920) all_4_11 = n11 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REDUCE: (743), (1920) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1921) pred(n11) = all_4_9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REDUCE: (715), (1920) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1922) succ(n11) = all_4_5 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 187.78/26.82 | | | | | | | | | | | | | | | | | | simplifying with (700), (1922) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1923) all_4_5 = n12 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 187.78/26.82 | | | | | | | | | | | | | | | | | | simplifying with (728), (1921) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1924) all_4_9 = n10 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REDUCE: (684), (1923), (1924) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1925) sum(n10, n12) = all_4_2 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REDUCE: (1771), (1924) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1926) sum(n10, n25) = all_4_7 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REDUCE: (1769), (1923) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1927) sum(n23, n12) = all_4_4 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 187.78/26.82 | | | | | | | | | | | | | | | | | | simplifying with (279), (1925) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1928) all_4_2 = n22 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n25, n10, % 187.78/26.82 | | | | | | | | | | | | | | | | | | simplifying with (292), (1926) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1929) all_4_7 = n9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n12, n23, % 187.78/26.82 | | | | | | | | | | | | | | | | | | simplifying with (617), (1927) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1930) all_4_4 = n9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REDUCE: (1773), (1928) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1931) sum(n22, n22) = all_4_0 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REDUCE: (685), (1929), (1930) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1932) sum(n9, n9) = all_4_3 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (601), (1931), (1932) are % 187.78/26.82 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #276. % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | (1933) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | BETA: splitting (1933) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1934) all_4_11 = n10 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1934) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1935) pred(n10) = all_4_9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1934) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1936) succ(n10) = all_4_5 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | simplifying with (699), (1936) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1937) all_4_5 = n11 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | simplifying with (727), (1935) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1938) all_4_9 = n9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1937), (1938) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1939) sum(n9, n11) = all_4_2 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (1938) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1940) sum(n9, n25) = all_4_7 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (1937) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1941) sum(n23, n11) = all_4_4 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | simplifying with (252), (1939) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1942) all_4_2 = n20 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n25, n9, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | simplifying with (266), (1940) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1943) all_4_7 = n8 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n11, n23, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | simplifying with (616), (1941) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1944) all_4_4 = n8 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (1942) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1945) sum(n20, n22) = all_4_0 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1943), (1944) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1946) sum(n8, n8) = all_4_3 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (549), (1945), (1946) are % 187.78/26.82 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #253. % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | (1947) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (1947) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1948) all_4_11 = n9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1948) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1949) pred(n9) = all_4_9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1948) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1950) succ(n9) = all_4_5 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | simplifying with (698), (1950) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1951) all_4_5 = n10 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | simplifying with (726), (1949) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1952) all_4_9 = n8 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1951), (1952) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1953) sum(n8, n10) = all_4_2 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (1952) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1954) sum(n8, n25) = all_4_7 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (1951) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1955) sum(n23, n10) = all_4_4 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | simplifying with (225), (1953) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1956) all_4_2 = n18 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n25, n8, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | simplifying with (240), (1954) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1957) all_4_7 = n7 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n10, n23, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | simplifying with (615), (1955) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1958) all_4_4 = n7 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (1956) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1959) sum(n18, n22) = all_4_0 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1957), (1958) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1960) sum(n7, n7) = all_4_3 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (497), (1959), (1960) are % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #252. % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | (1961) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1961) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1962) all_4_11 = n8 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1962) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1963) pred(n8) = all_4_9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1962) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1964) succ(n8) = all_4_5 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (1964) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1965) all_4_5 = n9 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (1963) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1966) all_4_9 = n7 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1965), (1966) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1967) sum(n7, n9) = all_4_2 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (1966) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1968) sum(n7, n25) = all_4_7 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (1965) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1969) sum(n23, n9) = all_4_4 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (1967) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1970) all_4_2 = n16 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n25, n7, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (214), (1968) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1971) all_4_7 = n6 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n9, n23, % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (614), (1969) gives: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1972) all_4_4 = n6 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (1970) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1973) sum(n16, n22) = all_4_0 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1971), (1972) imply: % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | (1974) sum(n6, n6) = all_4_3 % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (445), (1973), (1974) are % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #251. % 187.78/26.82 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | (1975) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1975) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1976) all_4_11 = n7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1976) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1977) pred(n7) = all_4_9 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1976) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1978) succ(n7) = all_4_5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (1978) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1979) all_4_5 = n8 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (1977) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1980) all_4_9 = n6 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1979), (1980) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1981) sum(n6, n8) = all_4_2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (1980) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1982) sum(n6, n25) = all_4_7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (1979) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1983) sum(n23, n8) = all_4_4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (1981) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1984) all_4_2 = n14 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n25, n6, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | simplifying with (188), (1982) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1985) all_4_7 = n5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n8, n23, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | simplifying with (613), (1983) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1986) all_4_4 = n5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (1984) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1987) sum(n14, n22) = all_4_0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1985), (1986) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1988) sum(n5, n5) = all_4_3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (393), (1987), (1988) are % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #250. % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | (1989) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1989) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1990) all_4_11 = n6 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1990) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1991) pred(n6) = all_4_9 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1990) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1992) succ(n6) = all_4_5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (1992) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1993) all_4_5 = n7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (1991) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1994) all_4_9 = n5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (1993), (1994) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1995) sum(n5, n7) = all_4_2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (1994) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1996) sum(n5, n25) = all_4_7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (1993) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1997) sum(n23, n7) = all_4_4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (1995) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1998) all_4_2 = n12 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n25, n5, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (162), (1996) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (1999) all_4_7 = n4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n7, n23, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (612), (1997) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (2000) all_4_4 = n4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (1998) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (2001) sum(n12, n22) = all_4_0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1999), (2000) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (2002) sum(n4, n4) = all_4_3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (341), (2001), (2002) are % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #249. % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | (2003) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2003) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_4_11 = n5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2004) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2005) pred(n5) = all_4_9 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2004) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2006) succ(n5) = all_4_5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (2006) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_4_5 = n6 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (2005) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_4_9 = n4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2007), (2008) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2009) sum(n4, n6) = all_4_2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (2008) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2010) sum(n4, n25) = all_4_7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (2007) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2011) sum(n23, n6) = all_4_4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (2009) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_4_2 = n10 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n25, n4, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (136), (2010) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_4_7 = n3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n6, n23, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (611), (2011) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_4_4 = n3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (2012) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2015) sum(n10, n22) = all_4_0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2013), (2014) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2016) sum(n3, n3) = all_4_3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (289), (2015), (2016) are % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #248. % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_4_11 = n4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2018) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2019) pred(n4) = all_4_9 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2018) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2020) succ(n4) = all_4_5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (2020) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_4_5 = n5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (2019) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_4_9 = n3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2021), (2022) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2023) sum(n3, n5) = all_4_2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (2022) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2024) sum(n3, n25) = all_4_7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (2021) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2025) sum(n23, n5) = all_4_4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (2023) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_4_2 = n8 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n25, n3, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (110), (2024) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_4_7 = n2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n5, n23, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (610), (2025) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_4_4 = n2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (2026) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2029) sum(n8, n22) = all_4_0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2027), (2028) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2030) sum(n2, n2) = all_4_3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (237), (2029), (2030) are % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #247. % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2031) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_4_11 = n3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2032) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) pred(n3) = all_4_9 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2032) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) succ(n3) = all_4_5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (2034) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_4_5 = n4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (2033) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_4_9 = n2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2035), (2036) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) sum(n2, n4) = all_4_2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (2036) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) sum(n2, n25) = all_4_7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (2035) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) sum(n23, n4) = all_4_4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (2037) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_4_2 = n6 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n25, n2, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (84), (2038) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_4_7 = n1 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n4, n23, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (609), (2039) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_4_4 = n1 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (2040) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) sum(n6, n22) = all_4_0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2041), (2042) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) sum(n1, n1) = all_4_3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (185), (2043), (2044) are % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #246. % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2045) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_4_11 = n2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2046) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) pred(n2) = all_4_9 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2046) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) succ(n2) = all_4_5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (2048) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_4_5 = n3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (2047) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_4_9 = n1 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2049), (2050) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) sum(n1, n3) = all_4_2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (2050) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) sum(n1, n25) = all_4_7 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (2049) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) sum(n23, n3) = all_4_4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (2051) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_4_2 = n4 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n25, n1, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (2052) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_4_7 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n3, n23, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (608), (2053) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_4_4 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (2054) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) sum(n4, n22) = all_4_0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2055), (2056) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) sum(n0, n0) = all_4_3 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (133), (2057), (2058) are % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #245. % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_4_11 = n1 | all_4_11 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2059) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_4_11 = n1 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2060) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) pred(n1) = all_4_9 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2060) imply: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) succ(n1) = all_4_5 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (2062) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_4_5 = n2 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (2061) gives: % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_4_9 = n0 % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2063), (2064) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) sum(n0, n2) = all_4_2 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (2064) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) sum(n0, n25) = all_4_7 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (2063) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) sum(n23, n2) = all_4_4 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2065) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_4_2 = n2 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n25, n0, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (2066) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_4_7 = n25 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n2, n23, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (607), (2067) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_4_4 = n25 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (2068) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) sum(n2, n22) = all_4_0 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2069), (2070) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) sum(n25, n25) = all_4_3 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (81), (682), (2071), (2072) are % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244. % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_4_11 = n0 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2073) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) pred(n0) = all_4_9 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2073) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) succ(n0) = all_4_5 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (2075) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_4_5 = n1 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (2074) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_4_9 = n25 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2076), (2077) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) sum(n25, n1) = all_4_2 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (2077) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) sum(n25, n25) = all_4_7 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1769), (2076) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) sum(n23, n1) = all_4_4 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n1, n23, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (606), (2080) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_4_4 = n24 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (2078) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_4_2 = n0 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n25, n25, % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (682), (2079) gives: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_4_7 = n24 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1773), (2082) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) sum(n0, n22) = all_4_0 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2081), (2083) imply: % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) sum(n24, n24) = all_4_3 % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (29), (655), (2084), (2085) are % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #243. % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | | % 187.78/26.84 | | | | | | | | | End of split % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | End of split % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | End of split % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | End of split % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | End of split % 187.78/26.84 | | | | | % 187.78/26.84 | | | | Case 2: % 187.78/26.84 | | | | | % 187.78/26.84 | | | | | (2086) all_4_10 = n23 | all_4_10 = n22 | all_4_10 = n21 | all_4_10 % 187.78/26.84 | | | | | = n20 | all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.78/26.84 | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | all_4_10 % 187.78/26.84 | | | | | = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.78/26.84 | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = % 187.78/26.84 | | | | | n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.78/26.84 | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.84 | | | | | % 187.78/26.84 | | | | | BETA: splitting (1763) gives: % 187.78/26.84 | | | | | % 187.78/26.84 | | | | | Case 1: % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | (2087) all_4_11 = n23 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | REDUCE: (743), (2087) imply: % 187.78/26.84 | | | | | | (2088) pred(n23) = all_4_9 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | REDUCE: (715), (2087) imply: % 187.78/26.84 | | | | | | (2089) succ(n23) = all_4_5 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | GROUND_INST: instantiating (2) with n24, all_4_5, n23, simplifying % 187.78/26.84 | | | | | | with (712), (2089) gives: % 187.78/26.84 | | | | | | (2090) all_4_5 = n24 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | GROUND_INST: instantiating (3) with n22, all_4_9, n23, simplifying % 187.78/26.84 | | | | | | with (740), (2088) gives: % 187.78/26.84 | | | | | | (2091) all_4_9 = n22 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | REDUCE: (687), (2090) imply: % 187.78/26.84 | | | | | | (2092) sum(all_4_6, n24) = all_4_4 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | REDUCE: (684), (2090), (2091) imply: % 187.78/26.84 | | | | | | (2093) sum(n22, n24) = all_4_2 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | REDUCE: (683), (2091) imply: % 187.78/26.84 | | | | | | (2094) sum(n22, all_4_8) = all_4_7 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n24, n22, % 187.78/26.84 | | | | | | simplifying with (603), (2093) gives: % 187.78/26.84 | | | | | | (2095) all_4_2 = n20 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | REDUCE: (688), (2095) imply: % 187.78/26.84 | | | | | | (2096) sum(n20, all_4_1) = all_4_0 % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | BETA: splitting (2086) gives: % 187.78/26.84 | | | | | | % 187.78/26.84 | | | | | | Case 1: % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | (2097) all_4_10 = n23 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | REDUCE: (744), (2097) imply: % 187.78/26.84 | | | | | | | (2098) pred(n23) = all_4_6 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | REDUCE: (716), (2097) imply: % 187.78/26.84 | | | | | | | (2099) succ(n23) = all_4_8 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | GROUND_INST: instantiating (2) with n24, all_4_8, n23, simplifying % 187.78/26.84 | | | | | | | with (712), (2099) gives: % 187.78/26.84 | | | | | | | (2100) all_4_8 = n24 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | GROUND_INST: instantiating (3) with n22, all_4_6, n23, simplifying % 187.78/26.84 | | | | | | | with (740), (2098) gives: % 187.78/26.84 | | | | | | | (2101) all_4_6 = n22 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | REDUCE: (686), (2100), (2101) imply: % 187.78/26.84 | | | | | | | (2102) sum(n22, n24) = all_4_1 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | REDUCE: (2092), (2101) imply: % 187.78/26.84 | | | | | | | (2103) sum(n22, n24) = all_4_4 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | REDUCE: (2094), (2100) imply: % 187.78/26.84 | | | | | | | (2104) sum(n22, n24) = all_4_7 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n24, n22, % 187.78/26.84 | | | | | | | simplifying with (603), (2103) gives: % 187.78/26.84 | | | | | | | (2105) all_4_4 = n20 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n24, n22, % 187.78/26.84 | | | | | | | simplifying with (2102), (2103) gives: % 187.78/26.84 | | | | | | | (2106) all_4_1 = all_4_4 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n24, n22, % 187.78/26.84 | | | | | | | simplifying with (2102), (2104) gives: % 187.78/26.84 | | | | | | | (2107) all_4_1 = all_4_7 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | REF_CLOSE: (4), (6), (547), (685), (2096), (2105), (2106), (2107) % 187.78/26.84 | | | | | | | are inconsistent by sub-proof #242. % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | Case 2: % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | (2108) all_4_10 = n22 | all_4_10 = n21 | all_4_10 = n20 | % 187.78/26.84 | | | | | | | all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.78/26.84 | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.78/26.84 | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.78/26.84 | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.78/26.84 | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | all_4_10 % 187.78/26.84 | | | | | | | = n4 | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.84 | | | | | | | all_4_10 = n0 % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | BETA: splitting (2108) gives: % 187.78/26.84 | | | | | | | % 187.78/26.84 | | | | | | | Case 1: % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | (2109) all_4_10 = n22 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | REDUCE: (744), (2109) imply: % 187.78/26.84 | | | | | | | | (2110) pred(n22) = all_4_6 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | REDUCE: (716), (2109) imply: % 187.78/26.84 | | | | | | | | (2111) succ(n22) = all_4_8 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | GROUND_INST: instantiating (2) with n23, all_4_8, n22, % 187.78/26.84 | | | | | | | | simplifying with (711), (2111) gives: % 187.78/26.84 | | | | | | | | (2112) all_4_8 = n23 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | GROUND_INST: instantiating (3) with n21, all_4_6, n22, % 187.78/26.84 | | | | | | | | simplifying with (739), (2110) gives: % 187.78/26.84 | | | | | | | | (2113) all_4_6 = n21 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | REDUCE: (686), (2112), (2113) imply: % 187.78/26.84 | | | | | | | | (2114) sum(n21, n23) = all_4_1 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | REDUCE: (2092), (2113) imply: % 187.78/26.84 | | | | | | | | (2115) sum(n21, n24) = all_4_4 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | REDUCE: (2094), (2112) imply: % 187.78/26.84 | | | | | | | | (2116) sum(n22, n23) = all_4_7 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n23, n21, % 187.78/26.84 | | | | | | | | simplifying with (576), (2114) gives: % 187.78/26.84 | | | | | | | | (2117) all_4_1 = n18 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n24, n21, % 187.78/26.84 | | | | | | | | simplifying with (577), (2115) gives: % 187.78/26.84 | | | | | | | | (2118) all_4_4 = n19 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n23, n22, % 187.78/26.84 | | | | | | | | simplifying with (602), (2116) gives: % 187.78/26.84 | | | | | | | | (2119) all_4_7 = n19 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | REF_CLOSE: (4), (6), (520), (545), (685), (2096), (2117), % 187.78/26.84 | | | | | | | | (2118), (2119) are inconsistent by sub-proof #241. % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | Case 2: % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | (2120) all_4_10 = n21 | all_4_10 = n20 | all_4_10 = n19 | % 187.78/26.84 | | | | | | | | all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 187.78/26.84 | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 187.78/26.84 | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.78/26.84 | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.78/26.84 | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.78/26.84 | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.84 | | | | | | | | all_4_10 = n0 % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | BETA: splitting (2120) gives: % 187.78/26.84 | | | | | | | | % 187.78/26.84 | | | | | | | | Case 1: % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | (2121) all_4_10 = n21 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | REDUCE: (744), (2121) imply: % 187.78/26.84 | | | | | | | | | (2122) pred(n21) = all_4_6 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | REDUCE: (716), (2121) imply: % 187.78/26.84 | | | | | | | | | (2123) succ(n21) = all_4_8 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_8, n21, % 187.78/26.84 | | | | | | | | | simplifying with (710), (2123) gives: % 187.78/26.84 | | | | | | | | | (2124) all_4_8 = n22 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_6, n21, % 187.78/26.84 | | | | | | | | | simplifying with (738), (2122) gives: % 187.78/26.84 | | | | | | | | | (2125) all_4_6 = n20 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | REDUCE: (686), (2124), (2125) imply: % 187.78/26.84 | | | | | | | | | (2126) sum(n20, n22) = all_4_1 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | REDUCE: (2092), (2125) imply: % 187.78/26.84 | | | | | | | | | (2127) sum(n20, n24) = all_4_4 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | REDUCE: (2094), (2124) imply: % 187.78/26.84 | | | | | | | | | (2128) sum(n22, n22) = all_4_7 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n22, n20, % 187.78/26.84 | | | | | | | | | simplifying with (549), (2126) gives: % 187.78/26.84 | | | | | | | | | (2129) all_4_1 = n16 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n24, n20, % 187.78/26.84 | | | | | | | | | simplifying with (551), (2127) gives: % 187.78/26.84 | | | | | | | | | (2130) all_4_4 = n18 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n22, n22, % 187.78/26.84 | | | | | | | | | simplifying with (601), (2128) gives: % 187.78/26.84 | | | | | | | | | (2131) all_4_7 = n18 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | REF_CLOSE: (4), (6), (493), (543), (685), (2096), (2129), % 187.78/26.84 | | | | | | | | | (2130), (2131) are inconsistent by sub-proof #240. % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | Case 2: % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | (2132) all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 187.78/26.84 | | | | | | | | | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 187.78/26.84 | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 187.78/26.84 | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 187.78/26.84 | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 187.78/26.84 | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 187.78/26.84 | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | BETA: splitting (2132) gives: % 187.78/26.84 | | | | | | | | | % 187.78/26.84 | | | | | | | | | Case 1: % 187.78/26.84 | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | (2133) all_4_10 = n20 % 187.78/26.84 | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | REDUCE: (744), (2133) imply: % 187.78/26.84 | | | | | | | | | | (2134) pred(n20) = all_4_6 % 187.78/26.84 | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | REDUCE: (716), (2133) imply: % 187.78/26.84 | | | | | | | | | | (2135) succ(n20) = all_4_8 % 187.78/26.84 | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_8, n20, % 187.78/26.84 | | | | | | | | | | simplifying with (709), (2135) gives: % 187.78/26.84 | | | | | | | | | | (2136) all_4_8 = n21 % 187.78/26.84 | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_6, n20, % 187.78/26.84 | | | | | | | | | | simplifying with (737), (2134) gives: % 187.78/26.84 | | | | | | | | | | (2137) all_4_6 = n19 % 187.78/26.84 | | | | | | | | | | % 187.78/26.84 | | | | | | | | | | REDUCE: (686), (2136), (2137) imply: % 187.78/26.85 | | | | | | | | | | (2138) sum(n19, n21) = all_4_1 % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | REDUCE: (2092), (2137) imply: % 187.78/26.85 | | | | | | | | | | (2139) sum(n19, n24) = all_4_4 % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | REDUCE: (2094), (2136) imply: % 187.78/26.85 | | | | | | | | | | (2140) sum(n22, n21) = all_4_7 % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n21, n19, % 187.78/26.85 | | | | | | | | | | simplifying with (522), (2138) gives: % 187.78/26.85 | | | | | | | | | | (2141) all_4_1 = n14 % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n24, n19, % 187.78/26.85 | | | | | | | | | | simplifying with (525), (2139) gives: % 187.78/26.85 | | | | | | | | | | (2142) all_4_4 = n17 % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n21, n22, % 187.78/26.85 | | | | | | | | | | simplifying with (600), (2140) gives: % 187.78/26.85 | | | | | | | | | | (2143) all_4_7 = n17 % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | REF_CLOSE: (4), (6), (466), (541), (685), (2096), (2141), % 187.78/26.85 | | | | | | | | | | (2142), (2143) are inconsistent by sub-proof #239. % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | Case 2: % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | (2144) all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 187.78/26.85 | | | | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 187.78/26.85 | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 187.78/26.85 | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 187.78/26.85 | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 187.78/26.85 | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 187.78/26.85 | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | BETA: splitting (2144) gives: % 187.78/26.85 | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | Case 1: % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | (2145) all_4_10 = n19 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | REDUCE: (744), (2145) imply: % 187.78/26.85 | | | | | | | | | | | (2146) pred(n19) = all_4_6 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | REDUCE: (716), (2145) imply: % 187.78/26.85 | | | | | | | | | | | (2147) succ(n19) = all_4_8 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 187.78/26.85 | | | | | | | | | | | simplifying with (708), (2147) gives: % 187.78/26.85 | | | | | | | | | | | (2148) all_4_8 = n20 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 187.78/26.85 | | | | | | | | | | | simplifying with (736), (2146) gives: % 187.78/26.85 | | | | | | | | | | | (2149) all_4_6 = n18 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | REDUCE: (686), (2148), (2149) imply: % 187.78/26.85 | | | | | | | | | | | (2150) sum(n18, n20) = all_4_1 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | REDUCE: (2092), (2149) imply: % 187.78/26.85 | | | | | | | | | | | (2151) sum(n18, n24) = all_4_4 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | REDUCE: (2094), (2148) imply: % 187.78/26.85 | | | | | | | | | | | (2152) sum(n22, n20) = all_4_7 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n20, n18, % 187.78/26.85 | | | | | | | | | | | simplifying with (495), (2150) gives: % 187.78/26.85 | | | | | | | | | | | (2153) all_4_1 = n12 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n24, n18, % 187.78/26.85 | | | | | | | | | | | simplifying with (499), (2151) gives: % 187.78/26.85 | | | | | | | | | | | (2154) all_4_4 = n16 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n20, n22, % 187.78/26.85 | | | | | | | | | | | simplifying with (599), (2152) gives: % 187.78/26.85 | | | | | | | | | | | (2155) all_4_7 = n16 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (539), (685), (2096), (2153), % 187.78/26.85 | | | | | | | | | | | (2154), (2155) are inconsistent by sub-proof #238. % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | Case 2: % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | (2156) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 187.78/26.85 | | | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 187.78/26.85 | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 187.78/26.85 | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 187.78/26.85 | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 187.78/26.85 | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 187.78/26.85 | | | | | | | | | | | all_4_10 = n0 % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | BETA: splitting (2156) gives: % 187.78/26.85 | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | Case 1: % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | (2157) all_4_10 = n18 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | REDUCE: (744), (2157) imply: % 187.78/26.85 | | | | | | | | | | | | (2158) pred(n18) = all_4_6 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | REDUCE: (716), (2157) imply: % 187.78/26.85 | | | | | | | | | | | | (2159) succ(n18) = all_4_8 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 187.78/26.85 | | | | | | | | | | | | simplifying with (707), (2159) gives: % 187.78/26.85 | | | | | | | | | | | | (2160) all_4_8 = n19 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 187.78/26.85 | | | | | | | | | | | | simplifying with (735), (2158) gives: % 187.78/26.85 | | | | | | | | | | | | (2161) all_4_6 = n17 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | REDUCE: (686), (2160), (2161) imply: % 187.78/26.85 | | | | | | | | | | | | (2162) sum(n17, n19) = all_4_1 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | REDUCE: (2092), (2161) imply: % 187.78/26.85 | | | | | | | | | | | | (2163) sum(n17, n24) = all_4_4 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | REDUCE: (2094), (2160) imply: % 187.78/26.85 | | | | | | | | | | | | (2164) sum(n22, n19) = all_4_7 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 187.78/26.85 | | | | | | | | | | | | simplifying with (468), (2162) gives: % 187.78/26.85 | | | | | | | | | | | | (2165) all_4_1 = n10 % 187.78/26.85 | | | | | | | | | | | | % 187.78/26.85 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n24, n17, % 187.78/26.85 | | | | | | | | | | | | simplifying with (473), (2163) gives: % 187.78/26.85 | | | | | | | | | | | | (2166) all_4_4 = n15 % 187.78/26.85 | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n19, n22, % 188.16/26.85 | | | | | | | | | | | | simplifying with (598), (2164) gives: % 188.16/26.85 | | | | | | | | | | | | (2167) all_4_7 = n15 % 188.16/26.85 | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (537), (685), (2096), (2165), % 188.16/26.85 | | | | | | | | | | | | (2166), (2167) are inconsistent by sub-proof #237. % 188.16/26.85 | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | Case 2: % 188.16/26.85 | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | (2168) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 188.16/26.85 | | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.16/26.85 | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.16/26.85 | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.16/26.85 | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.16/26.85 | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.85 | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | BETA: splitting (2168) gives: % 188.16/26.85 | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | Case 1: % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | (2169) all_4_10 = n17 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | REDUCE: (744), (2169) imply: % 188.16/26.85 | | | | | | | | | | | | | (2170) pred(n17) = all_4_6 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | REDUCE: (716), (2169) imply: % 188.16/26.85 | | | | | | | | | | | | | (2171) succ(n17) = all_4_8 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 188.16/26.85 | | | | | | | | | | | | | simplifying with (706), (2171) gives: % 188.16/26.85 | | | | | | | | | | | | | (2172) all_4_8 = n18 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 188.16/26.85 | | | | | | | | | | | | | simplifying with (734), (2170) gives: % 188.16/26.85 | | | | | | | | | | | | | (2173) all_4_6 = n16 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | REDUCE: (686), (2172), (2173) imply: % 188.16/26.85 | | | | | | | | | | | | | (2174) sum(n16, n18) = all_4_1 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | REDUCE: (2092), (2173) imply: % 188.16/26.85 | | | | | | | | | | | | | (2175) sum(n16, n24) = all_4_4 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | REDUCE: (2094), (2172) imply: % 188.16/26.85 | | | | | | | | | | | | | (2176) sum(n22, n18) = all_4_7 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 188.16/26.85 | | | | | | | | | | | | | simplifying with (441), (2174) gives: % 188.16/26.85 | | | | | | | | | | | | | (2177) all_4_1 = n8 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n24, n16, % 188.16/26.85 | | | | | | | | | | | | | simplifying with (447), (2175) gives: % 188.16/26.85 | | | | | | | | | | | | | (2178) all_4_4 = n14 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n18, n22, % 188.16/26.85 | | | | | | | | | | | | | simplifying with (597), (2176) gives: % 188.16/26.85 | | | | | | | | | | | | | (2179) all_4_7 = n14 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (535), (685), (2096), (2177), % 188.16/26.85 | | | | | | | | | | | | | (2178), (2179) are inconsistent by sub-proof #236. % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | Case 2: % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | (2180) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 188.16/26.85 | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.16/26.85 | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.16/26.85 | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.16/26.85 | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.16/26.85 | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | BETA: splitting (2180) gives: % 188.16/26.85 | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | Case 1: % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | (2181) all_4_10 = n16 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | REDUCE: (744), (2181) imply: % 188.16/26.85 | | | | | | | | | | | | | | (2182) pred(n16) = all_4_6 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | REDUCE: (716), (2181) imply: % 188.16/26.85 | | | | | | | | | | | | | | (2183) succ(n16) = all_4_8 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 188.16/26.85 | | | | | | | | | | | | | | simplifying with (705), (2183) gives: % 188.16/26.85 | | | | | | | | | | | | | | (2184) all_4_8 = n17 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 188.16/26.85 | | | | | | | | | | | | | | simplifying with (733), (2182) gives: % 188.16/26.85 | | | | | | | | | | | | | | (2185) all_4_6 = n15 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | REDUCE: (686), (2184), (2185) imply: % 188.16/26.85 | | | | | | | | | | | | | | (2186) sum(n15, n17) = all_4_1 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | REDUCE: (2092), (2185) imply: % 188.16/26.85 | | | | | | | | | | | | | | (2187) sum(n15, n24) = all_4_4 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | REDUCE: (2094), (2184) imply: % 188.16/26.85 | | | | | | | | | | | | | | (2188) sum(n22, n17) = all_4_7 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 188.16/26.85 | | | | | | | | | | | | | | simplifying with (414), (2186) gives: % 188.16/26.85 | | | | | | | | | | | | | | (2189) all_4_1 = n6 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n24, n15, % 188.16/26.85 | | | | | | | | | | | | | | simplifying with (421), (2187) gives: % 188.16/26.85 | | | | | | | | | | | | | | (2190) all_4_4 = n13 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n17, n22, % 188.16/26.85 | | | | | | | | | | | | | | simplifying with (596), (2188) gives: % 188.16/26.85 | | | | | | | | | | | | | | (2191) all_4_7 = n13 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (533), (685), (2096), (2189), % 188.16/26.85 | | | | | | | | | | | | | | (2190), (2191) are inconsistent by sub-proof #235. % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | Case 2: % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | (2192) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.16/26.85 | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.16/26.85 | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.16/26.85 | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.16/26.85 | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.16/26.85 | | | | | | | | | | | | | | all_4_10 = n0 % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | BETA: splitting (2192) gives: % 188.16/26.85 | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | Case 1: % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | (2193) all_4_10 = n15 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | REDUCE: (744), (2193) imply: % 188.16/26.85 | | | | | | | | | | | | | | | (2194) pred(n15) = all_4_6 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | REDUCE: (716), (2193) imply: % 188.16/26.85 | | | | | | | | | | | | | | | (2195) succ(n15) = all_4_8 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 188.16/26.85 | | | | | | | | | | | | | | | simplifying with (704), (2195) gives: % 188.16/26.85 | | | | | | | | | | | | | | | (2196) all_4_8 = n16 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 188.16/26.85 | | | | | | | | | | | | | | | simplifying with (732), (2194) gives: % 188.16/26.85 | | | | | | | | | | | | | | | (2197) all_4_6 = n14 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | REDUCE: (686), (2196), (2197) imply: % 188.16/26.85 | | | | | | | | | | | | | | | (2198) sum(n14, n16) = all_4_1 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | REDUCE: (2092), (2197) imply: % 188.16/26.85 | | | | | | | | | | | | | | | (2199) sum(n14, n24) = all_4_4 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | REDUCE: (2094), (2196) imply: % 188.16/26.85 | | | | | | | | | | | | | | | (2200) sum(n22, n16) = all_4_7 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 188.16/26.85 | | | | | | | | | | | | | | | simplifying with (387), (2198) gives: % 188.16/26.85 | | | | | | | | | | | | | | | (2201) all_4_1 = n4 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n24, n14, % 188.16/26.85 | | | | | | | | | | | | | | | simplifying with (395), (2199) gives: % 188.16/26.85 | | | | | | | | | | | | | | | (2202) all_4_4 = n12 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n16, n22, % 188.16/26.85 | | | | | | | | | | | | | | | simplifying with (595), (2200) gives: % 188.16/26.85 | | | | | | | | | | | | | | | (2203) all_4_7 = n12 % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (531), (685), (2096), (2201), % 188.16/26.85 | | | | | | | | | | | | | | | (2202), (2203) are inconsistent by sub-proof #234. % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.85 | | | | | | | | | | | | | | Case 2: % 188.16/26.85 | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | (2204) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.16/26.86 | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.16/26.86 | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.16/26.86 | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.16/26.86 | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.86 | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | BETA: splitting (2204) gives: % 188.16/26.86 | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | Case 1: % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | (2205) all_4_10 = n14 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | REDUCE: (744), (2205) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | (2206) pred(n14) = all_4_6 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | REDUCE: (716), (2205) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | (2207) succ(n14) = all_4_8 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 188.16/26.86 | | | | | | | | | | | | | | | | simplifying with (703), (2207) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | (2208) all_4_8 = n15 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 188.16/26.86 | | | | | | | | | | | | | | | | simplifying with (731), (2206) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | (2209) all_4_6 = n13 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | REDUCE: (686), (2208), (2209) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | (2210) sum(n13, n15) = all_4_1 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | REDUCE: (2092), (2209) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | (2211) sum(n13, n24) = all_4_4 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | REDUCE: (2094), (2208) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | (2212) sum(n22, n15) = all_4_7 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 188.16/26.86 | | | | | | | | | | | | | | | | simplifying with (360), (2210) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | (2213) all_4_1 = n2 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n24, n13, % 188.16/26.86 | | | | | | | | | | | | | | | | simplifying with (369), (2211) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | (2214) all_4_4 = n11 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n15, n22, % 188.16/26.86 | | | | | | | | | | | | | | | | simplifying with (594), (2212) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | (2215) all_4_7 = n11 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (529), (685), (2096), (2213), % 188.16/26.86 | | | | | | | | | | | | | | | | (2214), (2215) are inconsistent by sub-proof #233. % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | Case 2: % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | (2216) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.16/26.86 | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.16/26.86 | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.16/26.86 | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.16/26.86 | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | BETA: splitting (2216) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | Case 1: % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | (2217) all_4_10 = n13 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | REDUCE: (744), (2217) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2218) pred(n13) = all_4_6 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | REDUCE: (716), (2217) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2219) succ(n13) = all_4_8 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 188.16/26.86 | | | | | | | | | | | | | | | | | simplifying with (702), (2219) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2220) all_4_8 = n14 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 188.16/26.86 | | | | | | | | | | | | | | | | | simplifying with (730), (2218) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2221) all_4_6 = n12 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | REDUCE: (686), (2220), (2221) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2222) sum(n12, n14) = all_4_1 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | REDUCE: (2092), (2221) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2223) sum(n12, n24) = all_4_4 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | REDUCE: (2094), (2220) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2224) sum(n22, n14) = all_4_7 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 188.16/26.86 | | | | | | | | | | | | | | | | | simplifying with (333), (2222) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2225) all_4_1 = n0 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n24, n12, % 188.16/26.86 | | | | | | | | | | | | | | | | | simplifying with (343), (2223) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2226) all_4_4 = n10 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n14, n22, % 188.16/26.86 | | | | | | | | | | | | | | | | | simplifying with (593), (2224) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | (2227) all_4_7 = n10 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (527), (685), (2096), (2225), % 188.16/26.86 | | | | | | | | | | | | | | | | | (2226), (2227) are inconsistent by sub-proof #232. % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | Case 2: % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | (2228) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.16/26.86 | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.16/26.86 | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.16/26.86 | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.16/26.86 | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2229) all_4_10 = n12 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (744), (2229) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2230) pred(n12) = all_4_6 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (716), (2229) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2231) succ(n12) = all_4_8 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 188.16/26.86 | | | | | | | | | | | | | | | | | | simplifying with (701), (2231) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2232) all_4_8 = n13 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 188.16/26.86 | | | | | | | | | | | | | | | | | | simplifying with (729), (2230) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2233) all_4_6 = n11 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (686), (2232), (2233) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2234) sum(n11, n13) = all_4_1 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2233) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2235) sum(n11, n24) = all_4_4 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2232) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2236) sum(n22, n13) = all_4_7 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 188.16/26.86 | | | | | | | | | | | | | | | | | | simplifying with (306), (2234) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2237) all_4_1 = n24 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n24, n11, % 188.16/26.86 | | | | | | | | | | | | | | | | | | simplifying with (317), (2235) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2238) all_4_4 = n9 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n13, n22, % 188.16/26.86 | | | | | | | | | | | | | | | | | | simplifying with (592), (2236) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2239) all_4_7 = n9 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (685), (2238), (2239) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2240) sum(n9, n9) = all_4_3 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2237) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2241) sum(n20, n24) = all_4_0 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (551), (2240), (2241) are % 188.16/26.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #299. % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | (2242) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2243) all_4_10 = n11 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2243) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2244) pred(n11) = all_4_6 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2243) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2245) succ(n11) = all_4_8 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | simplifying with (700), (2245) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2246) all_4_8 = n12 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | simplifying with (728), (2244) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2247) all_4_6 = n10 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2246), (2247) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2248) sum(n10, n12) = all_4_1 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2247) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2249) sum(n10, n24) = all_4_4 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2246) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2250) sum(n22, n12) = all_4_7 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | simplifying with (279), (2248) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2251) all_4_1 = n22 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n24, n10, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | simplifying with (291), (2249) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2252) all_4_4 = n8 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n12, n22, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | simplifying with (591), (2250) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2253) all_4_7 = n8 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2252), (2253) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2254) sum(n8, n8) = all_4_3 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2251) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2255) sum(n20, n22) = all_4_0 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (549), (2254), (2255) are % 188.16/26.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #253. % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | (2256) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (2256) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2257) all_4_10 = n10 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2257) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2258) pred(n10) = all_4_6 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2257) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2259) succ(n10) = all_4_8 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | simplifying with (699), (2259) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2260) all_4_8 = n11 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | simplifying with (727), (2258) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2261) all_4_6 = n9 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2260), (2261) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2262) sum(n9, n11) = all_4_1 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2261) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2263) sum(n9, n24) = all_4_4 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2260) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2264) sum(n22, n11) = all_4_7 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | simplifying with (252), (2262) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2265) all_4_1 = n20 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n24, n9, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | simplifying with (265), (2263) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2266) all_4_4 = n7 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n11, n22, % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | simplifying with (590), (2264) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2267) all_4_7 = n7 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2266), (2267) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2268) sum(n7, n7) = all_4_3 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2265) imply: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2269) sum(n20, n20) = all_4_0 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (547), (2268), (2269) are % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | (2270) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2270) gives: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.86 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2271) all_4_10 = n9 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2271) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2272) pred(n9) = all_4_6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2271) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2273) succ(n9) = all_4_8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (2273) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2274) all_4_8 = n10 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (2272) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2275) all_4_6 = n8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2274), (2275) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2276) sum(n8, n10) = all_4_1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2275) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2277) sum(n8, n24) = all_4_4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2274) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2278) sum(n22, n10) = all_4_7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (2276) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2279) all_4_1 = n18 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n24, n8, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (239), (2277) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2280) all_4_4 = n6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n10, n22, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (589), (2278) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2281) all_4_7 = n6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2280), (2281) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2282) sum(n6, n6) = all_4_3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2279) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2283) sum(n20, n18) = all_4_0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (545), (2282), (2283) are % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #230. % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | (2284) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2284) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2285) all_4_10 = n8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2285) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2286) pred(n8) = all_4_6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2285) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2287) succ(n8) = all_4_8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (2287) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2288) all_4_8 = n9 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (2286) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2289) all_4_6 = n7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2288), (2289) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2290) sum(n7, n9) = all_4_1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2289) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2291) sum(n7, n24) = all_4_4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2288) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2292) sum(n22, n9) = all_4_7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (2290) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2293) all_4_1 = n16 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n24, n7, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | simplifying with (213), (2291) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2294) all_4_4 = n5 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n9, n22, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | simplifying with (588), (2292) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2295) all_4_7 = n5 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2294), (2295) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2296) sum(n5, n5) = all_4_3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2293) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2297) sum(n20, n16) = all_4_0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (543), (2296), (2297) are % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229. % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | (2298) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2298) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2299) all_4_10 = n7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2299) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2300) pred(n7) = all_4_6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2299) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2301) succ(n7) = all_4_8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (2301) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2302) all_4_8 = n8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (2300) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2303) all_4_6 = n6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2302), (2303) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2304) sum(n6, n8) = all_4_1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2303) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2305) sum(n6, n24) = all_4_4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2302) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2306) sum(n22, n8) = all_4_7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (2304) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2307) all_4_1 = n14 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n24, n6, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (2305) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2308) all_4_4 = n4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n8, n22, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (587), (2306) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2309) all_4_7 = n4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2308), (2309) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2310) sum(n4, n4) = all_4_3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2307) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2311) sum(n20, n14) = all_4_0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (541), (2310), (2311) are % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228. % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | (2312) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2312) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_4_10 = n6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2313) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2314) pred(n6) = all_4_6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2313) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2315) succ(n6) = all_4_8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (2315) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_4_8 = n7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (2314) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_4_6 = n5 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2316), (2317) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2318) sum(n5, n7) = all_4_1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2317) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2319) sum(n5, n24) = all_4_4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2316) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2320) sum(n22, n7) = all_4_7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (2318) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_4_1 = n12 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n24, n5, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (161), (2319) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_4_4 = n3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n7, n22, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (586), (2320) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_4_7 = n3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2322), (2323) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2324) sum(n3, n3) = all_4_3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2321) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2325) sum(n20, n12) = all_4_0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (539), (2324), (2325) are % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #227. % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2326) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_4_10 = n5 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2327) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2328) pred(n5) = all_4_6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2327) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2329) succ(n5) = all_4_8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (2329) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_4_8 = n6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (2328) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_4_6 = n4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2330), (2331) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2332) sum(n4, n6) = all_4_1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2331) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2333) sum(n4, n24) = all_4_4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2330) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2334) sum(n22, n6) = all_4_7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (2332) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_4_1 = n10 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n24, n4, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (135), (2333) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_4_4 = n2 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n6, n22, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (585), (2334) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_4_7 = n2 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2336), (2337) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2338) sum(n2, n2) = all_4_3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2335) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2339) sum(n20, n10) = all_4_0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (537), (2338), (2339) are % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226. % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2340) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_4_10 = n4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2341) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) pred(n4) = all_4_6 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2341) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) succ(n4) = all_4_8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (2343) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_4_8 = n5 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (2342) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_4_6 = n3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2344), (2345) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) sum(n3, n5) = all_4_1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2345) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) sum(n3, n24) = all_4_4 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2344) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) sum(n22, n5) = all_4_7 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (2346) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_4_1 = n8 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n24, n3, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (109), (2347) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_4_4 = n1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n5, n22, % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (584), (2348) gives: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_4_7 = n1 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2350), (2351) imply: % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) sum(n1, n1) = all_4_3 % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2349) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) sum(n20, n8) = all_4_0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (535), (2352), (2353) are % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225. % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2354) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_4_10 = n3 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2355) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) pred(n3) = all_4_6 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2355) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) succ(n3) = all_4_8 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (2357) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_4_8 = n4 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (2356) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_4_6 = n2 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2358), (2359) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) sum(n2, n4) = all_4_1 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2359) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) sum(n2, n24) = all_4_4 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2358) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) sum(n22, n4) = all_4_7 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (2360) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_4_1 = n6 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n24, n2, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (83), (2361) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_4_4 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n4, n22, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (583), (2362) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_4_7 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2364), (2365) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) sum(n0, n0) = all_4_3 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2363) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) sum(n20, n6) = all_4_0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (533), (2366), (2367) are % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #224. % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2368) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_4_10 = n2 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2369) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) pred(n2) = all_4_6 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2369) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) succ(n2) = all_4_8 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (2371) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_4_8 = n3 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (2370) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_4_6 = n1 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2372), (2373) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) sum(n1, n3) = all_4_1 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2373) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) sum(n1, n24) = all_4_4 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2372) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) sum(n22, n3) = all_4_7 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (2374) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_4_1 = n4 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n24, n1, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (57), (2375) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_4_4 = n25 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n3, n22, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (582), (2376) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_4_7 = n25 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2378), (2379) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) sum(n25, n25) = all_4_3 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2377) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) sum(n20, n4) = all_4_0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (531), (682), (2380), (2381) are % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #223. % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_4_10 = n1 | all_4_10 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2382) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_4_10 = n1 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2383) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) pred(n1) = all_4_6 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2383) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) succ(n1) = all_4_8 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (2385) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_4_8 = n2 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (2384) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_4_6 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2386), (2387) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) sum(n0, n2) = all_4_1 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2387) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) sum(n0, n24) = all_4_4 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2386) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) sum(n22, n2) = all_4_7 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2388) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_4_1 = n2 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n24, n0, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (2389) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_4_4 = n24 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n2, n22, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (581), (2390) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_4_7 = n24 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2392), (2393) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) sum(n24, n24) = all_4_3 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2391) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) sum(n20, n2) = all_4_0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (529), (655), (2394), (2395) are % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222. % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_4_10 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2396) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) pred(n0) = all_4_6 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2396) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) succ(n0) = all_4_8 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (2398) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_4_8 = n1 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (2397) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) all_4_6 = n25 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2399), (2400) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) sum(n25, n1) = all_4_1 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2400) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) sum(n25, n24) = all_4_4 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2094), (2399) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) sum(n22, n1) = all_4_7 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n1, n22, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (580), (2403) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) all_4_7 = n23 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (2401) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_4_1 = n0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n24, n25, % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (681), (2402) gives: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_4_4 = n23 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2404), (2406) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) sum(n23, n23) = all_4_3 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2405) imply: % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) sum(n20, n0) = all_4_0 % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (527), (628), (2407), (2408) are % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221. % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | | % 188.16/26.88 | | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | | % 188.16/26.88 | | | | | | | | | End of split % 188.16/26.88 | | | | | | | | | % 188.16/26.88 | | | | | | | | End of split % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | End of split % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | End of split % 188.16/26.88 | | | | | | % 188.16/26.88 | | | | | Case 2: % 188.16/26.88 | | | | | | % 188.16/26.88 | | | | | | (2409) all_4_11 = n22 | all_4_11 = n21 | all_4_11 = n20 | % 188.16/26.88 | | | | | | all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 188.16/26.88 | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 188.16/26.88 | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.16/26.88 | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | all_4_11 % 188.16/26.88 | | | | | | = n7 | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.16/26.88 | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = % 188.16/26.88 | | | | | | n0 % 188.16/26.88 | | | | | | % 188.16/26.88 | | | | | | BETA: splitting (2086) gives: % 188.16/26.88 | | | | | | % 188.16/26.88 | | | | | | Case 1: % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | (2410) all_4_10 = n23 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | REDUCE: (744), (2410) imply: % 188.16/26.88 | | | | | | | (2411) pred(n23) = all_4_6 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | REDUCE: (716), (2410) imply: % 188.16/26.88 | | | | | | | (2412) succ(n23) = all_4_8 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | GROUND_INST: instantiating (2) with n24, all_4_8, n23, simplifying % 188.16/26.88 | | | | | | | with (712), (2412) gives: % 188.16/26.88 | | | | | | | (2413) all_4_8 = n24 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | GROUND_INST: instantiating (3) with n22, all_4_6, n23, simplifying % 188.16/26.88 | | | | | | | with (740), (2411) gives: % 188.16/26.88 | | | | | | | (2414) all_4_6 = n22 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | REDUCE: (687), (2414) imply: % 188.16/26.88 | | | | | | | (2415) sum(n22, all_4_5) = all_4_4 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | REDUCE: (686), (2413), (2414) imply: % 188.16/26.88 | | | | | | | (2416) sum(n22, n24) = all_4_1 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | REDUCE: (683), (2413) imply: % 188.16/26.88 | | | | | | | (2417) sum(all_4_9, n24) = all_4_7 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n24, n22, % 188.16/26.88 | | | | | | | simplifying with (603), (2416) gives: % 188.16/26.88 | | | | | | | (2418) all_4_1 = n20 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | REDUCE: (688), (2418) imply: % 188.16/26.88 | | | | | | | (2419) sum(all_4_2, n20) = all_4_0 % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | BETA: splitting (2409) gives: % 188.16/26.88 | | | | | | | % 188.16/26.88 | | | | | | | Case 1: % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | (2420) all_4_11 = n22 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | REDUCE: (743), (2420) imply: % 188.16/26.88 | | | | | | | | (2421) pred(n22) = all_4_9 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | REDUCE: (715), (2420) imply: % 188.16/26.88 | | | | | | | | (2422) succ(n22) = all_4_5 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | GROUND_INST: instantiating (2) with n23, all_4_5, n22, % 188.16/26.88 | | | | | | | | simplifying with (711), (2422) gives: % 188.16/26.88 | | | | | | | | (2423) all_4_5 = n23 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | GROUND_INST: instantiating (3) with n21, all_4_9, n22, % 188.16/26.88 | | | | | | | | simplifying with (739), (2421) gives: % 188.16/26.88 | | | | | | | | (2424) all_4_9 = n21 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | REDUCE: (684), (2423), (2424) imply: % 188.16/26.88 | | | | | | | | (2425) sum(n21, n23) = all_4_2 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | REDUCE: (2417), (2424) imply: % 188.16/26.88 | | | | | | | | (2426) sum(n21, n24) = all_4_7 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | REDUCE: (2415), (2423) imply: % 188.16/26.88 | | | | | | | | (2427) sum(n22, n23) = all_4_4 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n23, n21, % 188.16/26.88 | | | | | | | | simplifying with (576), (2425) gives: % 188.16/26.88 | | | | | | | | (2428) all_4_2 = n18 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n24, n21, % 188.16/26.88 | | | | | | | | simplifying with (577), (2426) gives: % 188.16/26.88 | | | | | | | | (2429) all_4_7 = n19 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n23, n22, % 188.16/26.88 | | | | | | | | simplifying with (602), (2427) gives: % 188.16/26.88 | | | | | | | | (2430) all_4_4 = n19 % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | | REF_CLOSE: (4), (6), (495), (520), (685), (2419), (2428), % 188.16/26.88 | | | | | | | | (2429), (2430) are inconsistent by sub-proof #220. % 188.16/26.88 | | | | | | | | % 188.16/26.88 | | | | | | | Case 2: % 188.16/26.88 | | | | | | | | % 188.16/26.89 | | | | | | | | (2431) all_4_11 = n21 | all_4_11 = n20 | all_4_11 = n19 | % 188.16/26.89 | | | | | | | | all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 188.16/26.89 | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.16/26.89 | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.16/26.89 | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.16/26.89 | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.16/26.89 | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.16/26.89 | | | | | | | | all_4_11 = n0 % 188.16/26.89 | | | | | | | | % 188.16/26.89 | | | | | | | | BETA: splitting (2431) gives: % 188.16/26.89 | | | | | | | | % 188.16/26.89 | | | | | | | | Case 1: % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | (2432) all_4_11 = n21 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | REDUCE: (743), (2432) imply: % 188.16/26.89 | | | | | | | | | (2433) pred(n21) = all_4_9 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | REDUCE: (715), (2432) imply: % 188.16/26.89 | | | | | | | | | (2434) succ(n21) = all_4_5 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_5, n21, % 188.16/26.89 | | | | | | | | | simplifying with (710), (2434) gives: % 188.16/26.89 | | | | | | | | | (2435) all_4_5 = n22 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_9, n21, % 188.16/26.89 | | | | | | | | | simplifying with (738), (2433) gives: % 188.16/26.89 | | | | | | | | | (2436) all_4_9 = n20 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | REDUCE: (684), (2435), (2436) imply: % 188.16/26.89 | | | | | | | | | (2437) sum(n20, n22) = all_4_2 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | REDUCE: (2417), (2436) imply: % 188.16/26.89 | | | | | | | | | (2438) sum(n20, n24) = all_4_7 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | REDUCE: (2415), (2435) imply: % 188.16/26.89 | | | | | | | | | (2439) sum(n22, n22) = all_4_4 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n22, n20, % 188.16/26.89 | | | | | | | | | simplifying with (549), (2437) gives: % 188.16/26.89 | | | | | | | | | (2440) all_4_2 = n16 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n24, n20, % 188.16/26.89 | | | | | | | | | simplifying with (551), (2438) gives: % 188.16/26.89 | | | | | | | | | (2441) all_4_7 = n18 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n22, n22, % 188.16/26.89 | | | | | | | | | simplifying with (601), (2439) gives: % 188.16/26.89 | | | | | | | | | (2442) all_4_4 = n18 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | REF_CLOSE: (4), (6), (443), (493), (685), (2419), (2440), % 188.16/26.89 | | | | | | | | | (2441), (2442) are inconsistent by sub-proof #219. % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | Case 2: % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | (2443) all_4_11 = n20 | all_4_11 = n19 | all_4_11 = n18 | % 188.16/26.89 | | | | | | | | | all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 188.16/26.89 | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.16/26.89 | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.16/26.89 | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.16/26.89 | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.16/26.89 | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | BETA: splitting (2443) gives: % 188.16/26.89 | | | | | | | | | % 188.16/26.89 | | | | | | | | | Case 1: % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | (2444) all_4_11 = n20 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | REDUCE: (743), (2444) imply: % 188.16/26.89 | | | | | | | | | | (2445) pred(n20) = all_4_9 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | REDUCE: (715), (2444) imply: % 188.16/26.89 | | | | | | | | | | (2446) succ(n20) = all_4_5 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_5, n20, % 188.16/26.89 | | | | | | | | | | simplifying with (709), (2446) gives: % 188.16/26.89 | | | | | | | | | | (2447) all_4_5 = n21 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_9, n20, % 188.16/26.89 | | | | | | | | | | simplifying with (737), (2445) gives: % 188.16/26.89 | | | | | | | | | | (2448) all_4_9 = n19 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | REDUCE: (684), (2447), (2448) imply: % 188.16/26.89 | | | | | | | | | | (2449) sum(n19, n21) = all_4_2 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | REDUCE: (2417), (2448) imply: % 188.16/26.89 | | | | | | | | | | (2450) sum(n19, n24) = all_4_7 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | REDUCE: (2415), (2447) imply: % 188.16/26.89 | | | | | | | | | | (2451) sum(n22, n21) = all_4_4 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n21, n19, % 188.16/26.89 | | | | | | | | | | simplifying with (522), (2449) gives: % 188.16/26.89 | | | | | | | | | | (2452) all_4_2 = n14 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n24, n19, % 188.16/26.89 | | | | | | | | | | simplifying with (525), (2450) gives: % 188.16/26.89 | | | | | | | | | | (2453) all_4_7 = n17 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n21, n22, % 188.16/26.89 | | | | | | | | | | simplifying with (600), (2451) gives: % 188.16/26.89 | | | | | | | | | | (2454) all_4_4 = n17 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | REF_CLOSE: (4), (6), (391), (466), (685), (2419), (2452), % 188.16/26.89 | | | | | | | | | | (2453), (2454) are inconsistent by sub-proof #218. % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | Case 2: % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | (2455) all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 188.16/26.89 | | | | | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 188.16/26.89 | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.16/26.89 | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.16/26.89 | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.16/26.89 | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.16/26.89 | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | BETA: splitting (2455) gives: % 188.16/26.89 | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | Case 1: % 188.16/26.89 | | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | | (2456) all_4_11 = n19 % 188.16/26.89 | | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | | REDUCE: (743), (2456) imply: % 188.16/26.89 | | | | | | | | | | | (2457) pred(n19) = all_4_9 % 188.16/26.89 | | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | | REDUCE: (715), (2456) imply: % 188.16/26.89 | | | | | | | | | | | (2458) succ(n19) = all_4_5 % 188.16/26.89 | | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_5, n19, % 188.16/26.89 | | | | | | | | | | | simplifying with (708), (2458) gives: % 188.16/26.89 | | | | | | | | | | | (2459) all_4_5 = n20 % 188.16/26.89 | | | | | | | | | | | % 188.16/26.89 | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_9, n19, % 188.16/26.89 | | | | | | | | | | | simplifying with (736), (2457) gives: % 188.34/26.89 | | | | | | | | | | | (2460) all_4_9 = n18 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | REDUCE: (684), (2459), (2460) imply: % 188.34/26.89 | | | | | | | | | | | (2461) sum(n18, n20) = all_4_2 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | REDUCE: (2417), (2460) imply: % 188.34/26.89 | | | | | | | | | | | (2462) sum(n18, n24) = all_4_7 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | REDUCE: (2415), (2459) imply: % 188.34/26.89 | | | | | | | | | | | (2463) sum(n22, n20) = all_4_4 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n20, n18, % 188.34/26.89 | | | | | | | | | | | simplifying with (495), (2461) gives: % 188.34/26.89 | | | | | | | | | | | (2464) all_4_2 = n12 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n24, n18, % 188.34/26.89 | | | | | | | | | | | simplifying with (499), (2462) gives: % 188.34/26.89 | | | | | | | | | | | (2465) all_4_7 = n16 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n20, n22, % 188.34/26.89 | | | | | | | | | | | simplifying with (599), (2463) gives: % 188.34/26.89 | | | | | | | | | | | (2466) all_4_4 = n16 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | REF_CLOSE: (4), (6), (339), (439), (685), (2419), (2464), % 188.34/26.89 | | | | | | | | | | | (2465), (2466) are inconsistent by sub-proof #217. % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | Case 2: % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | (2467) all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 188.34/26.89 | | | | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.34/26.89 | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.34/26.89 | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.34/26.89 | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.34/26.89 | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.34/26.89 | | | | | | | | | | | all_4_11 = n0 % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | BETA: splitting (2467) gives: % 188.34/26.89 | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | Case 1: % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | (2468) all_4_11 = n18 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | REDUCE: (743), (2468) imply: % 188.34/26.89 | | | | | | | | | | | | (2469) pred(n18) = all_4_9 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | REDUCE: (715), (2468) imply: % 188.34/26.89 | | | | | | | | | | | | (2470) succ(n18) = all_4_5 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 188.34/26.89 | | | | | | | | | | | | simplifying with (707), (2470) gives: % 188.34/26.89 | | | | | | | | | | | | (2471) all_4_5 = n19 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 188.34/26.89 | | | | | | | | | | | | simplifying with (735), (2469) gives: % 188.34/26.89 | | | | | | | | | | | | (2472) all_4_9 = n17 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | REDUCE: (684), (2471), (2472) imply: % 188.34/26.89 | | | | | | | | | | | | (2473) sum(n17, n19) = all_4_2 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | REDUCE: (2417), (2472) imply: % 188.34/26.89 | | | | | | | | | | | | (2474) sum(n17, n24) = all_4_7 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | REDUCE: (2415), (2471) imply: % 188.34/26.89 | | | | | | | | | | | | (2475) sum(n22, n19) = all_4_4 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 188.34/26.89 | | | | | | | | | | | | simplifying with (468), (2473) gives: % 188.34/26.89 | | | | | | | | | | | | (2476) all_4_2 = n10 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n24, n17, % 188.34/26.89 | | | | | | | | | | | | simplifying with (473), (2474) gives: % 188.34/26.89 | | | | | | | | | | | | (2477) all_4_7 = n15 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n19, n22, % 188.34/26.89 | | | | | | | | | | | | simplifying with (598), (2475) gives: % 188.34/26.89 | | | | | | | | | | | | (2478) all_4_4 = n15 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | REF_CLOSE: (4), (6), (287), (412), (685), (2419), (2476), % 188.34/26.89 | | | | | | | | | | | | (2477), (2478) are inconsistent by sub-proof #216. % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | Case 2: % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | (2479) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 188.34/26.89 | | | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.34/26.89 | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.34/26.89 | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.34/26.89 | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.34/26.89 | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | BETA: splitting (2479) gives: % 188.34/26.89 | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | Case 1: % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | (2480) all_4_11 = n17 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | REDUCE: (743), (2480) imply: % 188.34/26.89 | | | | | | | | | | | | | (2481) pred(n17) = all_4_9 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | REDUCE: (715), (2480) imply: % 188.34/26.89 | | | | | | | | | | | | | (2482) succ(n17) = all_4_5 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 188.34/26.89 | | | | | | | | | | | | | simplifying with (706), (2482) gives: % 188.34/26.89 | | | | | | | | | | | | | (2483) all_4_5 = n18 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 188.34/26.89 | | | | | | | | | | | | | simplifying with (734), (2481) gives: % 188.34/26.89 | | | | | | | | | | | | | (2484) all_4_9 = n16 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | REDUCE: (684), (2483), (2484) imply: % 188.34/26.89 | | | | | | | | | | | | | (2485) sum(n16, n18) = all_4_2 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | REDUCE: (2417), (2484) imply: % 188.34/26.89 | | | | | | | | | | | | | (2486) sum(n16, n24) = all_4_7 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | REDUCE: (2415), (2483) imply: % 188.34/26.89 | | | | | | | | | | | | | (2487) sum(n22, n18) = all_4_4 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 188.34/26.89 | | | | | | | | | | | | | simplifying with (441), (2485) gives: % 188.34/26.89 | | | | | | | | | | | | | (2488) all_4_2 = n8 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n24, n16, % 188.34/26.89 | | | | | | | | | | | | | simplifying with (447), (2486) gives: % 188.34/26.89 | | | | | | | | | | | | | (2489) all_4_7 = n14 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n18, n22, % 188.34/26.89 | | | | | | | | | | | | | simplifying with (597), (2487) gives: % 188.34/26.89 | | | | | | | | | | | | | (2490) all_4_4 = n14 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (235), (385), (685), (2419), (2488), % 188.34/26.89 | | | | | | | | | | | | | (2489), (2490) are inconsistent by sub-proof #215. % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | Case 2: % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | (2491) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 188.34/26.89 | | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.34/26.89 | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.34/26.89 | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.34/26.89 | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.34/26.89 | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | BETA: splitting (2491) gives: % 188.34/26.89 | | | | | | | | | | | | | % 188.34/26.89 | | | | | | | | | | | | | Case 1: % 188.34/26.89 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | (2492) all_4_11 = n16 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | REDUCE: (743), (2492) imply: % 188.34/26.90 | | | | | | | | | | | | | | (2493) pred(n16) = all_4_9 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | REDUCE: (715), (2492) imply: % 188.34/26.90 | | | | | | | | | | | | | | (2494) succ(n16) = all_4_5 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 188.34/26.90 | | | | | | | | | | | | | | simplifying with (705), (2494) gives: % 188.34/26.90 | | | | | | | | | | | | | | (2495) all_4_5 = n17 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 188.34/26.90 | | | | | | | | | | | | | | simplifying with (733), (2493) gives: % 188.34/26.90 | | | | | | | | | | | | | | (2496) all_4_9 = n15 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | REDUCE: (684), (2495), (2496) imply: % 188.34/26.90 | | | | | | | | | | | | | | (2497) sum(n15, n17) = all_4_2 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | REDUCE: (2417), (2496) imply: % 188.34/26.90 | | | | | | | | | | | | | | (2498) sum(n15, n24) = all_4_7 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | REDUCE: (2415), (2495) imply: % 188.34/26.90 | | | | | | | | | | | | | | (2499) sum(n22, n17) = all_4_4 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 188.34/26.90 | | | | | | | | | | | | | | simplifying with (414), (2497) gives: % 188.34/26.90 | | | | | | | | | | | | | | (2500) all_4_2 = n6 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n24, n15, % 188.34/26.90 | | | | | | | | | | | | | | simplifying with (421), (2498) gives: % 188.34/26.90 | | | | | | | | | | | | | | (2501) all_4_7 = n13 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n17, n22, % 188.34/26.90 | | | | | | | | | | | | | | simplifying with (596), (2499) gives: % 188.34/26.90 | | | | | | | | | | | | | | (2502) all_4_4 = n13 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (183), (358), (685), (2419), (2500), % 188.34/26.90 | | | | | | | | | | | | | | (2501), (2502) are inconsistent by sub-proof #214. % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | Case 2: % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | (2503) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.34/26.90 | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.34/26.90 | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.34/26.90 | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.34/26.90 | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.34/26.90 | | | | | | | | | | | | | | all_4_11 = n0 % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | BETA: splitting (2503) gives: % 188.34/26.90 | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | Case 1: % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | (2504) all_4_11 = n15 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | REDUCE: (743), (2504) imply: % 188.34/26.90 | | | | | | | | | | | | | | | (2505) pred(n15) = all_4_9 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | REDUCE: (715), (2504) imply: % 188.34/26.90 | | | | | | | | | | | | | | | (2506) succ(n15) = all_4_5 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 188.34/26.90 | | | | | | | | | | | | | | | simplifying with (704), (2506) gives: % 188.34/26.90 | | | | | | | | | | | | | | | (2507) all_4_5 = n16 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 188.34/26.90 | | | | | | | | | | | | | | | simplifying with (732), (2505) gives: % 188.34/26.90 | | | | | | | | | | | | | | | (2508) all_4_9 = n14 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | REDUCE: (684), (2507), (2508) imply: % 188.34/26.90 | | | | | | | | | | | | | | | (2509) sum(n14, n16) = all_4_2 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | REDUCE: (2417), (2508) imply: % 188.34/26.90 | | | | | | | | | | | | | | | (2510) sum(n14, n24) = all_4_7 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | REDUCE: (2415), (2507) imply: % 188.34/26.90 | | | | | | | | | | | | | | | (2511) sum(n22, n16) = all_4_4 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 188.34/26.90 | | | | | | | | | | | | | | | simplifying with (387), (2509) gives: % 188.34/26.90 | | | | | | | | | | | | | | | (2512) all_4_2 = n4 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n24, n14, % 188.34/26.90 | | | | | | | | | | | | | | | simplifying with (395), (2510) gives: % 188.34/26.90 | | | | | | | | | | | | | | | (2513) all_4_7 = n12 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n16, n22, % 188.34/26.90 | | | | | | | | | | | | | | | simplifying with (595), (2511) gives: % 188.34/26.90 | | | | | | | | | | | | | | | (2514) all_4_4 = n12 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (131), (331), (685), (2419), (2512), % 188.34/26.90 | | | | | | | | | | | | | | | (2513), (2514) are inconsistent by sub-proof #213. % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | Case 2: % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | (2515) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.34/26.90 | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.34/26.90 | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.34/26.90 | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.34/26.90 | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | BETA: splitting (2515) gives: % 188.34/26.90 | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | Case 1: % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | (2516) all_4_11 = n14 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | REDUCE: (743), (2516) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | (2517) pred(n14) = all_4_9 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | REDUCE: (715), (2516) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | (2518) succ(n14) = all_4_5 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 188.34/26.90 | | | | | | | | | | | | | | | | simplifying with (703), (2518) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | (2519) all_4_5 = n15 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 188.34/26.90 | | | | | | | | | | | | | | | | simplifying with (731), (2517) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | (2520) all_4_9 = n13 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | REDUCE: (684), (2519), (2520) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | (2521) sum(n13, n15) = all_4_2 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | REDUCE: (2417), (2520) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | (2522) sum(n13, n24) = all_4_7 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | REDUCE: (2415), (2519) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | (2523) sum(n22, n15) = all_4_4 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 188.34/26.90 | | | | | | | | | | | | | | | | simplifying with (360), (2521) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | (2524) all_4_2 = n2 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n24, n13, % 188.34/26.90 | | | | | | | | | | | | | | | | simplifying with (369), (2522) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | (2525) all_4_7 = n11 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n15, n22, % 188.34/26.90 | | | | | | | | | | | | | | | | simplifying with (594), (2523) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | (2526) all_4_4 = n11 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (304), (685), (2419), (2524), % 188.34/26.90 | | | | | | | | | | | | | | | | (2525), (2526) are inconsistent by sub-proof #212. % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | Case 2: % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | (2527) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.34/26.90 | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.34/26.90 | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.34/26.90 | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.34/26.90 | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | BETA: splitting (2527) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | Case 1: % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | (2528) all_4_11 = n13 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | REDUCE: (743), (2528) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2529) pred(n13) = all_4_9 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | REDUCE: (715), (2528) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2530) succ(n13) = all_4_5 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 188.34/26.90 | | | | | | | | | | | | | | | | | simplifying with (702), (2530) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2531) all_4_5 = n14 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 188.34/26.90 | | | | | | | | | | | | | | | | | simplifying with (730), (2529) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2532) all_4_9 = n12 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | REDUCE: (684), (2531), (2532) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2533) sum(n12, n14) = all_4_2 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | REDUCE: (2417), (2532) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2534) sum(n12, n24) = all_4_7 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | REDUCE: (2415), (2531) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2535) sum(n22, n14) = all_4_4 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 188.34/26.90 | | | | | | | | | | | | | | | | | simplifying with (333), (2533) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2536) all_4_2 = n0 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n24, n12, % 188.34/26.90 | | | | | | | | | | | | | | | | | simplifying with (343), (2534) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2537) all_4_7 = n10 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n14, n22, % 188.34/26.90 | | | | | | | | | | | | | | | | | simplifying with (593), (2535) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | (2538) all_4_4 = n10 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (27), (277), (685), (2419), (2536), % 188.34/26.90 | | | | | | | | | | | | | | | | | (2537), (2538) are inconsistent by sub-proof #211. % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | Case 2: % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | (2539) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.34/26.90 | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.34/26.90 | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.34/26.90 | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.34/26.90 | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2540) all_4_11 = n12 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (743), (2540) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2541) pred(n12) = all_4_9 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (715), (2540) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2542) succ(n12) = all_4_5 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 188.34/26.90 | | | | | | | | | | | | | | | | | | simplifying with (701), (2542) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2543) all_4_5 = n13 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 188.34/26.90 | | | | | | | | | | | | | | | | | | simplifying with (729), (2541) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2544) all_4_9 = n11 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (684), (2543), (2544) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2545) sum(n11, n13) = all_4_2 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2544) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2546) sum(n11, n24) = all_4_7 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2543) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2547) sum(n22, n13) = all_4_4 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 188.34/26.90 | | | | | | | | | | | | | | | | | | simplifying with (306), (2545) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2548) all_4_2 = n24 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n24, n11, % 188.34/26.90 | | | | | | | | | | | | | | | | | | simplifying with (317), (2546) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2549) all_4_7 = n9 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n13, n22, % 188.34/26.90 | | | | | | | | | | | | | | | | | | simplifying with (592), (2547) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2550) all_4_4 = n9 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2548) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2551) sum(n24, n20) = all_4_0 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (685), (2549), (2550) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2552) sum(n9, n9) = all_4_3 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (651), (2551), (2552) are % 188.34/26.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323. % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | (2553) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.34/26.90 | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.34/26.90 | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.34/26.90 | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | BETA: splitting (2553) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2554) all_4_11 = n11 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2554) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2555) pred(n11) = all_4_9 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2554) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2556) succ(n11) = all_4_5 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 188.34/26.90 | | | | | | | | | | | | | | | | | | | simplifying with (700), (2556) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2557) all_4_5 = n12 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 188.34/26.90 | | | | | | | | | | | | | | | | | | | simplifying with (728), (2555) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2558) all_4_9 = n10 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2557), (2558) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2559) sum(n10, n12) = all_4_2 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2558) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2560) sum(n10, n24) = all_4_7 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2557) imply: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2561) sum(n22, n12) = all_4_4 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 188.34/26.90 | | | | | | | | | | | | | | | | | | | simplifying with (279), (2559) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2562) all_4_2 = n22 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n24, n10, % 188.34/26.90 | | | | | | | | | | | | | | | | | | | simplifying with (291), (2560) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2563) all_4_7 = n8 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n12, n22, % 188.34/26.90 | | | | | | | | | | | | | | | | | | | simplifying with (591), (2561) gives: % 188.34/26.90 | | | | | | | | | | | | | | | | | | | (2564) all_4_4 = n8 % 188.34/26.90 | | | | | | | | | | | | | | | | | | | % 188.34/26.90 | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2562) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | (2565) sum(n22, n20) = all_4_0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2563), (2564) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | (2566) sum(n8, n8) = all_4_3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (599), (2565), (2566) are % 188.34/26.91 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275. % 188.34/26.91 | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | (2567) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2568) all_4_11 = n10 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2568) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2569) pred(n10) = all_4_9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2568) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2570) succ(n10) = all_4_5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | simplifying with (699), (2570) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2571) all_4_5 = n11 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | simplifying with (727), (2569) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2572) all_4_9 = n9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2571), (2572) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2573) sum(n9, n11) = all_4_2 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2572) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2574) sum(n9, n24) = all_4_7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2571) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2575) sum(n22, n11) = all_4_4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | simplifying with (252), (2573) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2576) all_4_2 = n20 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n24, n9, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | simplifying with (265), (2574) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2577) all_4_7 = n7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n11, n22, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | simplifying with (590), (2575) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2578) all_4_4 = n7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2576) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2579) sum(n20, n20) = all_4_0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2577), (2578) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2580) sum(n7, n7) = all_4_3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (547), (2579), (2580) are % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | (2581) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2582) all_4_11 = n9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2582) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2583) pred(n9) = all_4_9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2582) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2584) succ(n9) = all_4_5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (2584) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2585) all_4_5 = n10 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (2583) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2586) all_4_9 = n8 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2585), (2586) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2587) sum(n8, n10) = all_4_2 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2586) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2588) sum(n8, n24) = all_4_7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2585) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2589) sum(n22, n10) = all_4_4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (2587) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2590) all_4_2 = n18 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n24, n8, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | simplifying with (239), (2588) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2591) all_4_7 = n6 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n10, n22, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | simplifying with (589), (2589) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2592) all_4_4 = n6 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2590) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2593) sum(n18, n20) = all_4_0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2591), (2592) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2594) sum(n6, n6) = all_4_3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (495), (2593), (2594) are % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #210. % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | (2595) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2595) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2596) all_4_11 = n8 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2596) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2597) pred(n8) = all_4_9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2596) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2598) succ(n8) = all_4_5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (2598) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2599) all_4_5 = n9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (2597) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2600) all_4_9 = n7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2599), (2600) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2601) sum(n7, n9) = all_4_2 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2600) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2602) sum(n7, n24) = all_4_7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2599) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2603) sum(n22, n9) = all_4_4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (2601) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2604) all_4_2 = n16 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n24, n7, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (213), (2602) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2605) all_4_7 = n5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n9, n22, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (588), (2603) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2606) all_4_4 = n5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2604) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2607) sum(n16, n20) = all_4_0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2605), (2606) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2608) sum(n5, n5) = all_4_3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (443), (2607), (2608) are % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209. % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | (2609) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2609) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2610) all_4_11 = n7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2610) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2611) pred(n7) = all_4_9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2610) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2612) succ(n7) = all_4_5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (2612) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2613) all_4_5 = n8 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (2611) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2614) all_4_9 = n6 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2613), (2614) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2615) sum(n6, n8) = all_4_2 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2614) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2616) sum(n6, n24) = all_4_7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2613) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2617) sum(n22, n8) = all_4_4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (2615) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2618) all_4_2 = n14 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n24, n6, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (187), (2616) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2619) all_4_7 = n4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n8, n22, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (587), (2617) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2620) all_4_4 = n4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2618) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2621) sum(n14, n20) = all_4_0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2619), (2620) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2622) sum(n4, n4) = all_4_3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (391), (2621), (2622) are % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208. % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | (2623) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2623) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_4_11 = n6 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2624) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2625) pred(n6) = all_4_9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2624) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2626) succ(n6) = all_4_5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (2626) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_4_5 = n7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (2625) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2628) all_4_9 = n5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2627), (2628) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2629) sum(n5, n7) = all_4_2 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2628) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2630) sum(n5, n24) = all_4_7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2627) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2631) sum(n22, n7) = all_4_4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (2629) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_4_2 = n12 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n24, n5, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (161), (2630) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2633) all_4_7 = n3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n7, n22, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (586), (2631) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_4_4 = n3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2632) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2635) sum(n12, n20) = all_4_0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2633), (2634) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2636) sum(n3, n3) = all_4_3 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (339), (2635), (2636) are % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #207. % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2637) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_4_11 = n5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2638) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2639) pred(n5) = all_4_9 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2638) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2640) succ(n5) = all_4_5 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (2640) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_4_5 = n6 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (2639) gives: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_4_9 = n4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2641), (2642) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2643) sum(n4, n6) = all_4_2 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2642) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2644) sum(n4, n24) = all_4_7 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2641) imply: % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2645) sum(n22, n6) = all_4_4 % 188.34/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (2643) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_4_2 = n10 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n24, n4, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (135), (2644) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_4_7 = n2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n6, n22, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (585), (2645) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_4_4 = n2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2646) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2649) sum(n10, n20) = all_4_0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2647), (2648) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2650) sum(n2, n2) = all_4_3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (287), (2649), (2650) are % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206. % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2651) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_4_11 = n4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2652) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) pred(n4) = all_4_9 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2652) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) succ(n4) = all_4_5 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (2654) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_4_5 = n5 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (2653) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) all_4_9 = n3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2655), (2656) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) sum(n3, n5) = all_4_2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2656) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) sum(n3, n24) = all_4_7 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2655) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) sum(n22, n5) = all_4_4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (2657) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_4_2 = n8 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n24, n3, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (109), (2658) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_4_7 = n1 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n5, n22, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (584), (2659) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_4_4 = n1 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2660) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) sum(n8, n20) = all_4_0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2661), (2662) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) sum(n1, n1) = all_4_3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (235), (2663), (2664) are % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #205. % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2665) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_4_11 = n3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2666) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) pred(n3) = all_4_9 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2666) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) succ(n3) = all_4_5 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (2668) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_4_5 = n4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (2667) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_4_9 = n2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2669), (2670) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) sum(n2, n4) = all_4_2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2670) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) sum(n2, n24) = all_4_7 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2669) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) sum(n22, n4) = all_4_4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (2671) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_4_2 = n6 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n24, n2, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (83), (2672) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_4_7 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n4, n22, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (583), (2673) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_4_4 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2674) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) sum(n6, n20) = all_4_0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2675), (2676) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) sum(n0, n0) = all_4_3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (183), (2677), (2678) are % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #204. % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2679) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_4_11 = n2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2680) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) pred(n2) = all_4_9 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2680) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) succ(n2) = all_4_5 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (2682) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_4_5 = n3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (2681) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_4_9 = n1 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2683), (2684) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) sum(n1, n3) = all_4_2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2684) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) sum(n1, n24) = all_4_7 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2683) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) sum(n22, n3) = all_4_4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (2685) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_4_2 = n4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n24, n1, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (57), (2686) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_4_7 = n25 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n3, n22, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (582), (2687) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_4_4 = n25 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2688) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) sum(n4, n20) = all_4_0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2689), (2690) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) sum(n25, n25) = all_4_3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (131), (682), (2691), (2692) are % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #203. % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_4_11 = n1 | all_4_11 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_4_11 = n1 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2694) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) pred(n1) = all_4_9 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2694) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) succ(n1) = all_4_5 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (2696) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_4_5 = n2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (2695) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_4_9 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2697), (2698) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) sum(n0, n2) = all_4_2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2698) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) sum(n0, n24) = all_4_7 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2697) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) sum(n22, n2) = all_4_4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2699) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_4_2 = n2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n24, n0, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (2700) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_4_7 = n24 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n2, n22, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (581), (2701) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_4_4 = n24 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2702) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) sum(n2, n20) = all_4_0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2703), (2704) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) sum(n24, n24) = all_4_3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (655), (2705), (2706) are % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #202. % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) all_4_11 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2707) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) pred(n0) = all_4_9 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2707) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) succ(n0) = all_4_5 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (2709) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_4_5 = n1 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (2708) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_4_9 = n25 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2710), (2711) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) sum(n25, n1) = all_4_2 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2711) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) sum(n25, n24) = all_4_7 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2415), (2710) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) sum(n22, n1) = all_4_4 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n1, n22, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (580), (2714) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_4_4 = n23 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (2712) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_4_2 = n0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n24, n25, % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (681), (2713) gives: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_4_7 = n23 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2419), (2716) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) sum(n0, n20) = all_4_0 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2715), (2717) imply: % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) sum(n23, n23) = all_4_3 % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (27), (628), (2718), (2719) are % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201. % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | | % 188.34/26.92 | | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | | % 188.34/26.92 | | | | | | | | | End of split % 188.34/26.92 | | | | | | | | | % 188.34/26.92 | | | | | | | | End of split % 188.34/26.92 | | | | | | | | % 188.34/26.92 | | | | | | | End of split % 188.34/26.92 | | | | | | | % 188.34/26.92 | | | | | | Case 2: % 188.34/26.92 | | | | | | | % 188.34/26.92 | | | | | | | (2720) all_4_10 = n22 | all_4_10 = n21 | all_4_10 = n20 | % 188.34/26.92 | | | | | | | all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 188.34/26.92 | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 188.34/26.92 | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.34/26.92 | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.34/26.92 | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | all_4_10 % 188.34/26.92 | | | | | | | = n4 | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.34/26.92 | | | | | | | all_4_10 = n0 % 188.34/26.92 | | | | | | | % 188.34/26.92 | | | | | | | BETA: splitting (2409) gives: % 188.34/26.92 | | | | | | | % 188.34/26.92 | | | | | | | Case 1: % 188.34/26.92 | | | | | | | | % 188.34/26.92 | | | | | | | | (2721) all_4_11 = n22 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | REDUCE: (743), (2721) imply: % 188.34/26.93 | | | | | | | | (2722) pred(n22) = all_4_9 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | REDUCE: (715), (2721) imply: % 188.34/26.93 | | | | | | | | (2723) succ(n22) = all_4_5 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | GROUND_INST: instantiating (2) with n23, all_4_5, n22, % 188.34/26.93 | | | | | | | | simplifying with (711), (2723) gives: % 188.34/26.93 | | | | | | | | (2724) all_4_5 = n23 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | GROUND_INST: instantiating (3) with n21, all_4_9, n22, % 188.34/26.93 | | | | | | | | simplifying with (739), (2722) gives: % 188.34/26.93 | | | | | | | | (2725) all_4_9 = n21 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | REDUCE: (687), (2724) imply: % 188.34/26.93 | | | | | | | | (2726) sum(all_4_6, n23) = all_4_4 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | REDUCE: (684), (2724), (2725) imply: % 188.34/26.93 | | | | | | | | (2727) sum(n21, n23) = all_4_2 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | REDUCE: (683), (2725) imply: % 188.34/26.93 | | | | | | | | (2728) sum(n21, all_4_8) = all_4_7 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n23, n21, % 188.34/26.93 | | | | | | | | simplifying with (576), (2727) gives: % 188.34/26.93 | | | | | | | | (2729) all_4_2 = n18 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | REDUCE: (688), (2729) imply: % 188.34/26.93 | | | | | | | | (2730) sum(n18, all_4_1) = all_4_0 % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | BETA: splitting (2720) gives: % 188.34/26.93 | | | | | | | | % 188.34/26.93 | | | | | | | | Case 1: % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | (2731) all_4_10 = n22 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | REDUCE: (744), (2731) imply: % 188.34/26.93 | | | | | | | | | (2732) pred(n22) = all_4_6 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | REDUCE: (716), (2731) imply: % 188.34/26.93 | | | | | | | | | (2733) succ(n22) = all_4_8 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | GROUND_INST: instantiating (2) with n23, all_4_8, n22, % 188.34/26.93 | | | | | | | | | simplifying with (711), (2733) gives: % 188.34/26.93 | | | | | | | | | (2734) all_4_8 = n23 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | GROUND_INST: instantiating (3) with n21, all_4_6, n22, % 188.34/26.93 | | | | | | | | | simplifying with (739), (2732) gives: % 188.34/26.93 | | | | | | | | | (2735) all_4_6 = n21 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | REDUCE: (686), (2734), (2735) imply: % 188.34/26.93 | | | | | | | | | (2736) sum(n21, n23) = all_4_1 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | REDUCE: (2726), (2735) imply: % 188.34/26.93 | | | | | | | | | (2737) sum(n21, n23) = all_4_4 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | REDUCE: (2728), (2734) imply: % 188.34/26.93 | | | | | | | | | (2738) sum(n21, n23) = all_4_7 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n23, n21, % 188.34/26.93 | | | | | | | | | simplifying with (576), (2737) gives: % 188.34/26.93 | | | | | | | | | (2739) all_4_4 = n18 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n23, n21, % 188.34/26.93 | | | | | | | | | simplifying with (2736), (2737) gives: % 188.34/26.93 | | | | | | | | | (2740) all_4_1 = all_4_4 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n23, n21, % 188.34/26.93 | | | | | | | | | simplifying with (2736), (2738) gives: % 188.34/26.93 | | | | | | | | | (2741) all_4_1 = all_4_7 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | REF_CLOSE: (4), (6), (493), (685), (2730), (2739), (2740), % 188.34/26.93 | | | | | | | | | (2741) are inconsistent by sub-proof #200. % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | Case 2: % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | (2742) all_4_10 = n21 | all_4_10 = n20 | all_4_10 = n19 | % 188.34/26.93 | | | | | | | | | all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 188.34/26.93 | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.34/26.93 | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.34/26.93 | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.34/26.93 | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.34/26.93 | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.34/26.93 | | | | | | | | | all_4_10 = n0 % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | BETA: splitting (2742) gives: % 188.34/26.93 | | | | | | | | | % 188.34/26.93 | | | | | | | | | Case 1: % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | (2743) all_4_10 = n21 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | REDUCE: (744), (2743) imply: % 188.34/26.93 | | | | | | | | | | (2744) pred(n21) = all_4_6 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | REDUCE: (716), (2743) imply: % 188.34/26.93 | | | | | | | | | | (2745) succ(n21) = all_4_8 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_8, n21, % 188.34/26.93 | | | | | | | | | | simplifying with (710), (2745) gives: % 188.34/26.93 | | | | | | | | | | (2746) all_4_8 = n22 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_6, n21, % 188.34/26.93 | | | | | | | | | | simplifying with (738), (2744) gives: % 188.34/26.93 | | | | | | | | | | (2747) all_4_6 = n20 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | REDUCE: (686), (2746), (2747) imply: % 188.34/26.93 | | | | | | | | | | (2748) sum(n20, n22) = all_4_1 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | REDUCE: (2726), (2747) imply: % 188.34/26.93 | | | | | | | | | | (2749) sum(n20, n23) = all_4_4 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | REDUCE: (2728), (2746) imply: % 188.34/26.93 | | | | | | | | | | (2750) sum(n21, n22) = all_4_7 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n22, n20, % 188.34/26.93 | | | | | | | | | | simplifying with (549), (2748) gives: % 188.34/26.93 | | | | | | | | | | (2751) all_4_1 = n16 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n23, n20, % 188.34/26.93 | | | | | | | | | | simplifying with (550), (2749) gives: % 188.34/26.93 | | | | | | | | | | (2752) all_4_4 = n17 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n22, n21, % 188.34/26.93 | | | | | | | | | | simplifying with (575), (2750) gives: % 188.34/26.93 | | | | | | | | | | (2753) all_4_7 = n17 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | REF_CLOSE: (4), (6), (466), (491), (685), (2730), (2751), % 188.34/26.93 | | | | | | | | | | (2752), (2753) are inconsistent by sub-proof #199. % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | Case 2: % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | (2754) all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 188.34/26.93 | | | | | | | | | | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 188.34/26.93 | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.34/26.93 | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.34/26.93 | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.34/26.93 | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.34/26.93 | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | BETA: splitting (2754) gives: % 188.34/26.93 | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | Case 1: % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | (2755) all_4_10 = n20 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | REDUCE: (744), (2755) imply: % 188.34/26.93 | | | | | | | | | | | (2756) pred(n20) = all_4_6 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | REDUCE: (716), (2755) imply: % 188.34/26.93 | | | | | | | | | | | (2757) succ(n20) = all_4_8 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_8, n20, % 188.34/26.93 | | | | | | | | | | | simplifying with (709), (2757) gives: % 188.34/26.93 | | | | | | | | | | | (2758) all_4_8 = n21 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_6, n20, % 188.34/26.93 | | | | | | | | | | | simplifying with (737), (2756) gives: % 188.34/26.93 | | | | | | | | | | | (2759) all_4_6 = n19 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | REDUCE: (686), (2758), (2759) imply: % 188.34/26.93 | | | | | | | | | | | (2760) sum(n19, n21) = all_4_1 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | REDUCE: (2726), (2759) imply: % 188.34/26.93 | | | | | | | | | | | (2761) sum(n19, n23) = all_4_4 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | REDUCE: (2728), (2758) imply: % 188.34/26.93 | | | | | | | | | | | (2762) sum(n21, n21) = all_4_7 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n21, n19, % 188.34/26.93 | | | | | | | | | | | simplifying with (522), (2760) gives: % 188.34/26.93 | | | | | | | | | | | (2763) all_4_1 = n14 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n23, n19, % 188.34/26.93 | | | | | | | | | | | simplifying with (524), (2761) gives: % 188.34/26.93 | | | | | | | | | | | (2764) all_4_4 = n16 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n21, n21, % 188.34/26.93 | | | | | | | | | | | simplifying with (574), (2762) gives: % 188.34/26.93 | | | | | | | | | | | (2765) all_4_7 = n16 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (489), (685), (2730), (2763), % 188.34/26.93 | | | | | | | | | | | (2764), (2765) are inconsistent by sub-proof #198. % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | Case 2: % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | (2766) all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 188.34/26.93 | | | | | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 188.34/26.93 | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.34/26.93 | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.34/26.93 | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.34/26.93 | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.34/26.93 | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | BETA: splitting (2766) gives: % 188.34/26.93 | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | Case 1: % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | (2767) all_4_10 = n19 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | REDUCE: (744), (2767) imply: % 188.34/26.93 | | | | | | | | | | | | (2768) pred(n19) = all_4_6 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | REDUCE: (716), (2767) imply: % 188.34/26.93 | | | | | | | | | | | | (2769) succ(n19) = all_4_8 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 188.34/26.93 | | | | | | | | | | | | simplifying with (708), (2769) gives: % 188.34/26.93 | | | | | | | | | | | | (2770) all_4_8 = n20 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 188.34/26.93 | | | | | | | | | | | | simplifying with (736), (2768) gives: % 188.34/26.93 | | | | | | | | | | | | (2771) all_4_6 = n18 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | REDUCE: (686), (2770), (2771) imply: % 188.34/26.93 | | | | | | | | | | | | (2772) sum(n18, n20) = all_4_1 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | REDUCE: (2726), (2771) imply: % 188.34/26.93 | | | | | | | | | | | | (2773) sum(n18, n23) = all_4_4 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | REDUCE: (2728), (2770) imply: % 188.34/26.93 | | | | | | | | | | | | (2774) sum(n21, n20) = all_4_7 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n20, n18, % 188.34/26.93 | | | | | | | | | | | | simplifying with (495), (2772) gives: % 188.34/26.93 | | | | | | | | | | | | (2775) all_4_1 = n12 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n23, n18, % 188.34/26.93 | | | | | | | | | | | | simplifying with (498), (2773) gives: % 188.34/26.93 | | | | | | | | | | | | (2776) all_4_4 = n15 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n20, n21, % 188.34/26.93 | | | | | | | | | | | | simplifying with (573), (2774) gives: % 188.34/26.93 | | | | | | | | | | | | (2777) all_4_7 = n15 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (487), (685), (2730), (2775), % 188.34/26.93 | | | | | | | | | | | | (2776), (2777) are inconsistent by sub-proof #197. % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | Case 2: % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | (2778) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 188.34/26.93 | | | | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.34/26.93 | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.34/26.93 | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.34/26.93 | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.34/26.93 | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.34/26.93 | | | | | | | | | | | | all_4_10 = n0 % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | BETA: splitting (2778) gives: % 188.34/26.93 | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | Case 1: % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | (2779) all_4_10 = n18 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | REDUCE: (744), (2779) imply: % 188.34/26.93 | | | | | | | | | | | | | (2780) pred(n18) = all_4_6 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | REDUCE: (716), (2779) imply: % 188.34/26.93 | | | | | | | | | | | | | (2781) succ(n18) = all_4_8 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 188.34/26.93 | | | | | | | | | | | | | simplifying with (707), (2781) gives: % 188.34/26.93 | | | | | | | | | | | | | (2782) all_4_8 = n19 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 188.34/26.93 | | | | | | | | | | | | | simplifying with (735), (2780) gives: % 188.34/26.93 | | | | | | | | | | | | | (2783) all_4_6 = n17 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | REDUCE: (686), (2782), (2783) imply: % 188.34/26.93 | | | | | | | | | | | | | (2784) sum(n17, n19) = all_4_1 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | REDUCE: (2726), (2783) imply: % 188.34/26.93 | | | | | | | | | | | | | (2785) sum(n17, n23) = all_4_4 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | REDUCE: (2728), (2782) imply: % 188.34/26.93 | | | | | | | | | | | | | (2786) sum(n21, n19) = all_4_7 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 188.34/26.93 | | | | | | | | | | | | | simplifying with (468), (2784) gives: % 188.34/26.93 | | | | | | | | | | | | | (2787) all_4_1 = n10 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n23, n17, % 188.34/26.93 | | | | | | | | | | | | | simplifying with (472), (2785) gives: % 188.34/26.93 | | | | | | | | | | | | | (2788) all_4_4 = n14 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n19, n21, % 188.34/26.93 | | | | | | | | | | | | | simplifying with (572), (2786) gives: % 188.34/26.93 | | | | | | | | | | | | | (2789) all_4_7 = n14 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (485), (685), (2730), (2787), % 188.34/26.93 | | | | | | | | | | | | | (2788), (2789) are inconsistent by sub-proof #196. % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | Case 2: % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | (2790) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 188.34/26.93 | | | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.34/26.93 | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.34/26.93 | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.34/26.93 | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.34/26.93 | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | BETA: splitting (2790) gives: % 188.34/26.93 | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | Case 1: % 188.34/26.93 | | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | | (2791) all_4_10 = n17 % 188.34/26.93 | | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | | REDUCE: (744), (2791) imply: % 188.34/26.93 | | | | | | | | | | | | | | (2792) pred(n17) = all_4_6 % 188.34/26.93 | | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | | REDUCE: (716), (2791) imply: % 188.34/26.93 | | | | | | | | | | | | | | (2793) succ(n17) = all_4_8 % 188.34/26.93 | | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 188.34/26.93 | | | | | | | | | | | | | | simplifying with (706), (2793) gives: % 188.34/26.93 | | | | | | | | | | | | | | (2794) all_4_8 = n18 % 188.34/26.93 | | | | | | | | | | | | | | % 188.34/26.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 188.34/26.93 | | | | | | | | | | | | | | simplifying with (734), (2792) gives: % 188.34/26.93 | | | | | | | | | | | | | | (2795) all_4_6 = n16 % 188.34/26.93 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | REDUCE: (686), (2794), (2795) imply: % 188.34/26.94 | | | | | | | | | | | | | | (2796) sum(n16, n18) = all_4_1 % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | REDUCE: (2726), (2795) imply: % 188.34/26.94 | | | | | | | | | | | | | | (2797) sum(n16, n23) = all_4_4 % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | REDUCE: (2728), (2794) imply: % 188.34/26.94 | | | | | | | | | | | | | | (2798) sum(n21, n18) = all_4_7 % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 188.34/26.94 | | | | | | | | | | | | | | simplifying with (441), (2796) gives: % 188.34/26.94 | | | | | | | | | | | | | | (2799) all_4_1 = n8 % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n23, n16, % 188.34/26.94 | | | | | | | | | | | | | | simplifying with (446), (2797) gives: % 188.34/26.94 | | | | | | | | | | | | | | (2800) all_4_4 = n13 % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n18, n21, % 188.34/26.94 | | | | | | | | | | | | | | simplifying with (571), (2798) gives: % 188.34/26.94 | | | | | | | | | | | | | | (2801) all_4_7 = n13 % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (483), (685), (2730), (2799), % 188.34/26.94 | | | | | | | | | | | | | | (2800), (2801) are inconsistent by sub-proof #195. % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | Case 2: % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | (2802) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 188.34/26.94 | | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.34/26.94 | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.34/26.94 | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.34/26.94 | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.34/26.94 | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | BETA: splitting (2802) gives: % 188.34/26.94 | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | Case 1: % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | (2803) all_4_10 = n16 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | REDUCE: (744), (2803) imply: % 188.34/26.94 | | | | | | | | | | | | | | | (2804) pred(n16) = all_4_6 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | REDUCE: (716), (2803) imply: % 188.34/26.94 | | | | | | | | | | | | | | | (2805) succ(n16) = all_4_8 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 188.34/26.94 | | | | | | | | | | | | | | | simplifying with (705), (2805) gives: % 188.34/26.94 | | | | | | | | | | | | | | | (2806) all_4_8 = n17 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 188.34/26.94 | | | | | | | | | | | | | | | simplifying with (733), (2804) gives: % 188.34/26.94 | | | | | | | | | | | | | | | (2807) all_4_6 = n15 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | REDUCE: (686), (2806), (2807) imply: % 188.34/26.94 | | | | | | | | | | | | | | | (2808) sum(n15, n17) = all_4_1 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | REDUCE: (2726), (2807) imply: % 188.34/26.94 | | | | | | | | | | | | | | | (2809) sum(n15, n23) = all_4_4 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | REDUCE: (2728), (2806) imply: % 188.34/26.94 | | | | | | | | | | | | | | | (2810) sum(n21, n17) = all_4_7 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 188.34/26.94 | | | | | | | | | | | | | | | simplifying with (414), (2808) gives: % 188.34/26.94 | | | | | | | | | | | | | | | (2811) all_4_1 = n6 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n23, n15, % 188.34/26.94 | | | | | | | | | | | | | | | simplifying with (420), (2809) gives: % 188.34/26.94 | | | | | | | | | | | | | | | (2812) all_4_4 = n12 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.34/26.94 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n17, n21, % 188.34/26.94 | | | | | | | | | | | | | | | simplifying with (570), (2810) gives: % 188.34/26.94 | | | | | | | | | | | | | | | (2813) all_4_7 = n12 % 188.34/26.94 | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (481), (685), (2730), (2811), % 188.57/26.94 | | | | | | | | | | | | | | | (2812), (2813) are inconsistent by sub-proof #194. % 188.57/26.94 | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | Case 2: % 188.57/26.94 | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | (2814) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.57/26.94 | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.57/26.94 | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/26.94 | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/26.94 | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/26.94 | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/26.94 | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | BETA: splitting (2814) gives: % 188.57/26.94 | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | Case 1: % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | (2815) all_4_10 = n15 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | REDUCE: (744), (2815) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | (2816) pred(n15) = all_4_6 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | REDUCE: (716), (2815) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | (2817) succ(n15) = all_4_8 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 188.57/26.94 | | | | | | | | | | | | | | | | simplifying with (704), (2817) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | (2818) all_4_8 = n16 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 188.57/26.94 | | | | | | | | | | | | | | | | simplifying with (732), (2816) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | (2819) all_4_6 = n14 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | REDUCE: (686), (2818), (2819) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | (2820) sum(n14, n16) = all_4_1 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | REDUCE: (2726), (2819) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | (2821) sum(n14, n23) = all_4_4 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | REDUCE: (2728), (2818) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | (2822) sum(n21, n16) = all_4_7 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 188.57/26.94 | | | | | | | | | | | | | | | | simplifying with (387), (2820) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | (2823) all_4_1 = n4 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n23, n14, % 188.57/26.94 | | | | | | | | | | | | | | | | simplifying with (394), (2821) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | (2824) all_4_4 = n11 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n16, n21, % 188.57/26.94 | | | | | | | | | | | | | | | | simplifying with (569), (2822) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | (2825) all_4_7 = n11 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (479), (685), (2730), (2823), % 188.57/26.94 | | | | | | | | | | | | | | | | (2824), (2825) are inconsistent by sub-proof #193. % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | Case 2: % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | (2826) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.57/26.94 | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.57/26.94 | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/26.94 | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/26.94 | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | BETA: splitting (2826) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | Case 1: % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | (2827) all_4_10 = n14 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | REDUCE: (744), (2827) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2828) pred(n14) = all_4_6 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | REDUCE: (716), (2827) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2829) succ(n14) = all_4_8 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 188.57/26.94 | | | | | | | | | | | | | | | | | simplifying with (703), (2829) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2830) all_4_8 = n15 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 188.57/26.94 | | | | | | | | | | | | | | | | | simplifying with (731), (2828) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2831) all_4_6 = n13 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | REDUCE: (686), (2830), (2831) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2832) sum(n13, n15) = all_4_1 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | REDUCE: (2726), (2831) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2833) sum(n13, n23) = all_4_4 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | REDUCE: (2728), (2830) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2834) sum(n21, n15) = all_4_7 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 188.57/26.94 | | | | | | | | | | | | | | | | | simplifying with (360), (2832) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2835) all_4_1 = n2 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n23, n13, % 188.57/26.94 | | | | | | | | | | | | | | | | | simplifying with (368), (2833) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2836) all_4_4 = n10 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n15, n21, % 188.57/26.94 | | | | | | | | | | | | | | | | | simplifying with (568), (2834) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | (2837) all_4_7 = n10 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (477), (685), (2730), (2835), % 188.57/26.94 | | | | | | | | | | | | | | | | | (2836), (2837) are inconsistent by sub-proof #192. % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | Case 2: % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | (2838) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.57/26.94 | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.57/26.94 | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/26.94 | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/26.94 | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | BETA: splitting (2838) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2839) all_4_10 = n13 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | REDUCE: (744), (2839) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2840) pred(n13) = all_4_6 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | REDUCE: (716), (2839) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2841) succ(n13) = all_4_8 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 188.57/26.94 | | | | | | | | | | | | | | | | | | simplifying with (702), (2841) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2842) all_4_8 = n14 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 188.57/26.94 | | | | | | | | | | | | | | | | | | simplifying with (730), (2840) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2843) all_4_6 = n12 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | REDUCE: (686), (2842), (2843) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2844) sum(n12, n14) = all_4_1 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2843) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2845) sum(n12, n23) = all_4_4 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2842) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2846) sum(n21, n14) = all_4_7 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 188.57/26.94 | | | | | | | | | | | | | | | | | | simplifying with (333), (2844) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2847) all_4_1 = n0 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n23, n12, % 188.57/26.94 | | | | | | | | | | | | | | | | | | simplifying with (342), (2845) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2848) all_4_4 = n9 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n14, n21, % 188.57/26.94 | | | | | | | | | | | | | | | | | | simplifying with (567), (2846) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2849) all_4_7 = n9 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (475), (685), (2730), (2847), % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2848), (2849) are inconsistent by sub-proof #191. % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | (2850) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.57/26.94 | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/26.94 | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/26.94 | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/26.94 | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | BETA: splitting (2850) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2851) all_4_10 = n12 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2851) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2852) pred(n12) = all_4_6 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2851) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2853) succ(n12) = all_4_8 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 188.57/26.94 | | | | | | | | | | | | | | | | | | | simplifying with (701), (2853) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2854) all_4_8 = n13 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 188.57/26.94 | | | | | | | | | | | | | | | | | | | simplifying with (729), (2852) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2855) all_4_6 = n11 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2854), (2855) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2856) sum(n11, n13) = all_4_1 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2855) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2857) sum(n11, n23) = all_4_4 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2854) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2858) sum(n21, n13) = all_4_7 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 188.57/26.94 | | | | | | | | | | | | | | | | | | | simplifying with (306), (2856) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2859) all_4_1 = n24 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n23, n11, % 188.57/26.94 | | | | | | | | | | | | | | | | | | | simplifying with (316), (2857) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2860) all_4_4 = n8 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n13, n21, % 188.57/26.94 | | | | | | | | | | | | | | | | | | | simplifying with (566), (2858) gives: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2861) all_4_7 = n8 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2860), (2861) imply: % 188.57/26.94 | | | | | | | | | | | | | | | | | | | (2862) sum(n8, n8) = all_4_3 % 188.57/26.94 | | | | | | | | | | | | | | | | | | | % 188.57/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2859) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | (2863) sum(n18, n24) = all_4_0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (499), (2862), (2863) are % 188.57/26.95 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #298. % 188.57/26.95 | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | (2864) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (2864) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2865) all_4_10 = n11 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2865) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2866) pred(n11) = all_4_6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2865) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2867) succ(n11) = all_4_8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | simplifying with (700), (2867) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2868) all_4_8 = n12 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | simplifying with (728), (2866) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2869) all_4_6 = n10 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2868), (2869) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2870) sum(n10, n12) = all_4_1 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2869) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2871) sum(n10, n23) = all_4_4 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2868) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2872) sum(n21, n12) = all_4_7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | simplifying with (279), (2870) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2873) all_4_1 = n22 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n23, n10, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | simplifying with (290), (2871) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2874) all_4_4 = n7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n12, n21, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | simplifying with (565), (2872) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2875) all_4_7 = n7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2874), (2875) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2876) sum(n7, n7) = all_4_3 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2873) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2877) sum(n18, n22) = all_4_0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (497), (2876), (2877) are % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #252. % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | (2878) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2879) all_4_10 = n10 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2879) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2880) pred(n10) = all_4_6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2879) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2881) succ(n10) = all_4_8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (2881) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2882) all_4_8 = n11 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (2880) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2883) all_4_6 = n9 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2882), (2883) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2884) sum(n9, n11) = all_4_1 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2883) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2885) sum(n9, n23) = all_4_4 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2882) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2886) sum(n21, n11) = all_4_7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (2884) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2887) all_4_1 = n20 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n23, n9, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (264), (2885) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2888) all_4_4 = n6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n11, n21, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | simplifying with (564), (2886) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2889) all_4_7 = n6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2888), (2889) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2890) sum(n6, n6) = all_4_3 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2887) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2891) sum(n18, n20) = all_4_0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (495), (2890), (2891) are % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #210. % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | (2892) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2892) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2893) all_4_10 = n9 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2893) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2894) pred(n9) = all_4_6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2893) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2895) succ(n9) = all_4_8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (2895) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2896) all_4_8 = n10 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (2894) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2897) all_4_6 = n8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2896), (2897) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2898) sum(n8, n10) = all_4_1 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2897) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2899) sum(n8, n23) = all_4_4 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2896) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2900) sum(n21, n10) = all_4_7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (2898) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2901) all_4_1 = n18 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n23, n8, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (238), (2899) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2902) all_4_4 = n5 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n10, n21, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (563), (2900) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2903) all_4_7 = n5 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2902), (2903) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2904) sum(n5, n5) = all_4_3 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2901) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2905) sum(n18, n18) = all_4_0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (493), (2904), (2905) are % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190. % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | (2906) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2906) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2907) all_4_10 = n8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2907) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2908) pred(n8) = all_4_6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2907) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2909) succ(n8) = all_4_8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (2909) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2910) all_4_8 = n9 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (2908) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2911) all_4_6 = n7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2910), (2911) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2912) sum(n7, n9) = all_4_1 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2911) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2913) sum(n7, n23) = all_4_4 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2910) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2914) sum(n21, n9) = all_4_7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (2912) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2915) all_4_1 = n16 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n23, n7, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (212), (2913) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2916) all_4_4 = n4 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n9, n21, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (562), (2914) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2917) all_4_7 = n4 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2916), (2917) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2918) sum(n4, n4) = all_4_3 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2915) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2919) sum(n18, n16) = all_4_0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (491), (2918), (2919) are % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189. % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | (2920) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2920) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_4_10 = n7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2921) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2922) pred(n7) = all_4_6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2921) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2923) succ(n7) = all_4_8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (2923) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_4_8 = n8 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (2922) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_4_6 = n6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2924), (2925) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2926) sum(n6, n8) = all_4_1 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2925) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2927) sum(n6, n23) = all_4_4 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2924) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2928) sum(n21, n8) = all_4_7 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (2926) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_4_1 = n14 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n23, n6, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (186), (2927) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_4_4 = n3 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n8, n21, % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (561), (2928) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_4_7 = n3 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2930), (2931) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2932) sum(n3, n3) = all_4_3 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2929) imply: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2933) sum(n18, n14) = all_4_0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (489), (2932), (2933) are % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188. % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2934) gives: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_4_10 = n6 % 188.57/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2935) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2936) pred(n6) = all_4_6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2935) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2937) succ(n6) = all_4_8 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (2937) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_4_8 = n7 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (2936) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_4_6 = n5 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2938), (2939) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2940) sum(n5, n7) = all_4_1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2939) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2941) sum(n5, n23) = all_4_4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2938) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2942) sum(n21, n7) = all_4_7 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (2940) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_4_1 = n12 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n23, n5, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (160), (2941) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_4_4 = n2 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n7, n21, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (560), (2942) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_4_7 = n2 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2944), (2945) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2946) sum(n2, n2) = all_4_3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2943) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2947) sum(n18, n12) = all_4_0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (487), (2946), (2947) are % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187. % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) all_4_10 = n5 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2949) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) pred(n5) = all_4_6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2949) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) succ(n5) = all_4_8 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (2951) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_4_8 = n6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (2950) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_4_6 = n4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2952), (2953) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) sum(n4, n6) = all_4_1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2953) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) sum(n4, n23) = all_4_4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2952) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) sum(n21, n6) = all_4_7 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (2954) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) all_4_1 = n10 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n23, n4, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (134), (2955) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) all_4_4 = n1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n6, n21, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (559), (2956) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) all_4_7 = n1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2958), (2959) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) sum(n1, n1) = all_4_3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2957) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) sum(n18, n10) = all_4_0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (485), (2960), (2961) are % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186. % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2962) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_4_10 = n4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2963) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) pred(n4) = all_4_6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2963) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) succ(n4) = all_4_8 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (2965) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) all_4_8 = n5 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (2964) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_4_6 = n3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2966), (2967) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) sum(n3, n5) = all_4_1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2967) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) sum(n3, n23) = all_4_4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2966) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) sum(n21, n5) = all_4_7 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (2968) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_4_1 = n8 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n23, n3, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (108), (2969) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_4_4 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n5, n21, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (558), (2970) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_4_7 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2972), (2973) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) sum(n0, n0) = all_4_3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2971) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) sum(n18, n8) = all_4_0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (483), (2974), (2975) are % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #185. % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2976) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_4_10 = n3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2977) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) pred(n3) = all_4_6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2977) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) succ(n3) = all_4_8 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (2979) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_4_8 = n4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (2978) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_4_6 = n2 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2980), (2981) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) sum(n2, n4) = all_4_1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2981) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) sum(n2, n23) = all_4_4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2980) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) sum(n21, n4) = all_4_7 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (2982) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_4_1 = n6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n23, n2, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (82), (2983) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_4_4 = n25 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n4, n21, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (557), (2984) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_4_7 = n25 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2986), (2987) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) sum(n25, n25) = all_4_3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2985) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) sum(n18, n6) = all_4_0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (481), (682), (2988), (2989) are % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2990) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_4_10 = n2 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2991) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) pred(n2) = all_4_6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2991) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) succ(n2) = all_4_8 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (2993) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_4_8 = n3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (2992) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_4_6 = n1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2994), (2995) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) sum(n1, n3) = all_4_1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (2995) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) sum(n1, n23) = all_4_4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2994) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) sum(n21, n3) = all_4_7 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (2996) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_4_1 = n4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n23, n1, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (2997) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_4_4 = n24 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n3, n21, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (556), (2998) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_4_7 = n24 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3000), (3001) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) sum(n24, n24) = all_4_3 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (2999) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) sum(n18, n4) = all_4_0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (479), (655), (3002), (3003) are % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #183. % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_4_10 = n1 | all_4_10 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_4_10 = n1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3005) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) pred(n1) = all_4_6 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3005) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) succ(n1) = all_4_8 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (3007) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_4_8 = n2 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (3006) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_4_6 = n0 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3008), (3009) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) sum(n0, n2) = all_4_1 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (3009) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) sum(n0, n23) = all_4_4 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (3008) imply: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) sum(n21, n2) = all_4_7 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3010) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_4_1 = n2 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n23, n0, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (3011) gives: % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) all_4_4 = n23 % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n2, n21, % 188.57/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (555), (3012) gives: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_4_7 = n23 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3014), (3015) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) sum(n23, n23) = all_4_3 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (3013) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) sum(n18, n2) = all_4_0 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (477), (628), (3016), (3017) are % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182. % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_4_10 = n0 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3018) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) pred(n0) = all_4_6 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3018) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) succ(n0) = all_4_8 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (3020) gives: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_4_8 = n1 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (3019) gives: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_4_6 = n25 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3021), (3022) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) sum(n25, n1) = all_4_1 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2726), (3022) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) sum(n25, n23) = all_4_4 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (3021) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) sum(n21, n1) = all_4_7 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n1, n21, % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (554), (3025) gives: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) all_4_7 = n22 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (3023) gives: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_4_1 = n0 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n23, n25, % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (680), (3024) gives: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_4_4 = n22 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3026), (3028) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) sum(n22, n22) = all_4_3 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2730), (3027) imply: % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) sum(n18, n0) = all_4_0 % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (475), (601), (3029), (3030) are % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #181. % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | End of split % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | End of split % 188.57/26.97 | | | | | | | | % 188.57/26.97 | | | | | | | Case 2: % 188.57/26.97 | | | | | | | | % 188.57/26.97 | | | | | | | | (3031) all_4_11 = n21 | all_4_11 = n20 | all_4_11 = n19 | % 188.57/26.97 | | | | | | | | all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 188.57/26.97 | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.57/26.97 | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.57/26.97 | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/26.97 | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/26.97 | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/26.97 | | | | | | | | all_4_11 = n0 % 188.57/26.97 | | | | | | | | % 188.57/26.97 | | | | | | | | BETA: splitting (2720) gives: % 188.57/26.97 | | | | | | | | % 188.57/26.97 | | | | | | | | Case 1: % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | (3032) all_4_10 = n22 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | REDUCE: (744), (3032) imply: % 188.57/26.97 | | | | | | | | | (3033) pred(n22) = all_4_6 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | REDUCE: (716), (3032) imply: % 188.57/26.97 | | | | | | | | | (3034) succ(n22) = all_4_8 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | GROUND_INST: instantiating (2) with n23, all_4_8, n22, % 188.57/26.97 | | | | | | | | | simplifying with (711), (3034) gives: % 188.57/26.97 | | | | | | | | | (3035) all_4_8 = n23 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | GROUND_INST: instantiating (3) with n21, all_4_6, n22, % 188.57/26.97 | | | | | | | | | simplifying with (739), (3033) gives: % 188.57/26.97 | | | | | | | | | (3036) all_4_6 = n21 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | REDUCE: (687), (3036) imply: % 188.57/26.97 | | | | | | | | | (3037) sum(n21, all_4_5) = all_4_4 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | REDUCE: (686), (3035), (3036) imply: % 188.57/26.97 | | | | | | | | | (3038) sum(n21, n23) = all_4_1 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | REDUCE: (683), (3035) imply: % 188.57/26.97 | | | | | | | | | (3039) sum(all_4_9, n23) = all_4_7 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n23, n21, % 188.57/26.97 | | | | | | | | | simplifying with (576), (3038) gives: % 188.57/26.97 | | | | | | | | | (3040) all_4_1 = n18 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | REDUCE: (688), (3040) imply: % 188.57/26.97 | | | | | | | | | (3041) sum(all_4_2, n18) = all_4_0 % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | BETA: splitting (3031) gives: % 188.57/26.97 | | | | | | | | | % 188.57/26.97 | | | | | | | | | Case 1: % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | (3042) all_4_11 = n21 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | REDUCE: (743), (3042) imply: % 188.57/26.97 | | | | | | | | | | (3043) pred(n21) = all_4_9 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | REDUCE: (715), (3042) imply: % 188.57/26.97 | | | | | | | | | | (3044) succ(n21) = all_4_5 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_5, n21, % 188.57/26.97 | | | | | | | | | | simplifying with (710), (3044) gives: % 188.57/26.97 | | | | | | | | | | (3045) all_4_5 = n22 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_9, n21, % 188.57/26.97 | | | | | | | | | | simplifying with (738), (3043) gives: % 188.57/26.97 | | | | | | | | | | (3046) all_4_9 = n20 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | REDUCE: (684), (3045), (3046) imply: % 188.57/26.97 | | | | | | | | | | (3047) sum(n20, n22) = all_4_2 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | REDUCE: (3039), (3046) imply: % 188.57/26.97 | | | | | | | | | | (3048) sum(n20, n23) = all_4_7 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | REDUCE: (3037), (3045) imply: % 188.57/26.97 | | | | | | | | | | (3049) sum(n21, n22) = all_4_4 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n22, n20, % 188.57/26.97 | | | | | | | | | | simplifying with (549), (3047) gives: % 188.57/26.97 | | | | | | | | | | (3050) all_4_2 = n16 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n23, n20, % 188.57/26.97 | | | | | | | | | | simplifying with (550), (3048) gives: % 188.57/26.97 | | | | | | | | | | (3051) all_4_7 = n17 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n22, n21, % 188.57/26.97 | | | | | | | | | | simplifying with (575), (3049) gives: % 188.57/26.97 | | | | | | | | | | (3052) all_4_4 = n17 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | REF_CLOSE: (4), (6), (441), (466), (685), (3041), (3050), % 188.57/26.97 | | | | | | | | | | (3051), (3052) are inconsistent by sub-proof #180. % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | Case 2: % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | (3053) all_4_11 = n20 | all_4_11 = n19 | all_4_11 = n18 | % 188.57/26.97 | | | | | | | | | | all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 188.57/26.97 | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.57/26.97 | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/26.97 | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/26.97 | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/26.97 | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | BETA: splitting (3053) gives: % 188.57/26.97 | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | Case 1: % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | (3054) all_4_11 = n20 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | REDUCE: (743), (3054) imply: % 188.57/26.97 | | | | | | | | | | | (3055) pred(n20) = all_4_9 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | REDUCE: (715), (3054) imply: % 188.57/26.97 | | | | | | | | | | | (3056) succ(n20) = all_4_5 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_5, n20, % 188.57/26.97 | | | | | | | | | | | simplifying with (709), (3056) gives: % 188.57/26.97 | | | | | | | | | | | (3057) all_4_5 = n21 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_9, n20, % 188.57/26.97 | | | | | | | | | | | simplifying with (737), (3055) gives: % 188.57/26.97 | | | | | | | | | | | (3058) all_4_9 = n19 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | REDUCE: (684), (3057), (3058) imply: % 188.57/26.97 | | | | | | | | | | | (3059) sum(n19, n21) = all_4_2 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | REDUCE: (3039), (3058) imply: % 188.57/26.97 | | | | | | | | | | | (3060) sum(n19, n23) = all_4_7 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | REDUCE: (3037), (3057) imply: % 188.57/26.97 | | | | | | | | | | | (3061) sum(n21, n21) = all_4_4 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n21, n19, % 188.57/26.97 | | | | | | | | | | | simplifying with (522), (3059) gives: % 188.57/26.97 | | | | | | | | | | | (3062) all_4_2 = n14 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n23, n19, % 188.57/26.97 | | | | | | | | | | | simplifying with (524), (3060) gives: % 188.57/26.97 | | | | | | | | | | | (3063) all_4_7 = n16 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n21, n21, % 188.57/26.97 | | | | | | | | | | | simplifying with (574), (3061) gives: % 188.57/26.97 | | | | | | | | | | | (3064) all_4_4 = n16 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | REF_CLOSE: (4), (6), (389), (439), (685), (3041), (3062), % 188.57/26.97 | | | | | | | | | | | (3063), (3064) are inconsistent by sub-proof #179. % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | Case 2: % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | (3065) all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 188.57/26.97 | | | | | | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 188.57/26.97 | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.57/26.97 | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/26.97 | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/26.97 | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/26.97 | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | BETA: splitting (3065) gives: % 188.57/26.97 | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | Case 1: % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | (3066) all_4_11 = n19 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | REDUCE: (743), (3066) imply: % 188.57/26.97 | | | | | | | | | | | | (3067) pred(n19) = all_4_9 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | REDUCE: (715), (3066) imply: % 188.57/26.97 | | | | | | | | | | | | (3068) succ(n19) = all_4_5 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_5, n19, % 188.57/26.97 | | | | | | | | | | | | simplifying with (708), (3068) gives: % 188.57/26.97 | | | | | | | | | | | | (3069) all_4_5 = n20 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_9, n19, % 188.57/26.97 | | | | | | | | | | | | simplifying with (736), (3067) gives: % 188.57/26.97 | | | | | | | | | | | | (3070) all_4_9 = n18 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | REDUCE: (684), (3069), (3070) imply: % 188.57/26.97 | | | | | | | | | | | | (3071) sum(n18, n20) = all_4_2 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | REDUCE: (3039), (3070) imply: % 188.57/26.97 | | | | | | | | | | | | (3072) sum(n18, n23) = all_4_7 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | REDUCE: (3037), (3069) imply: % 188.57/26.97 | | | | | | | | | | | | (3073) sum(n21, n20) = all_4_4 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n20, n18, % 188.57/26.97 | | | | | | | | | | | | simplifying with (495), (3071) gives: % 188.57/26.97 | | | | | | | | | | | | (3074) all_4_2 = n12 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n23, n18, % 188.57/26.97 | | | | | | | | | | | | simplifying with (498), (3072) gives: % 188.57/26.97 | | | | | | | | | | | | (3075) all_4_7 = n15 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n20, n21, % 188.57/26.97 | | | | | | | | | | | | simplifying with (573), (3073) gives: % 188.57/26.97 | | | | | | | | | | | | (3076) all_4_4 = n15 % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | | REF_CLOSE: (4), (6), (337), (412), (685), (3041), (3074), % 188.57/26.97 | | | | | | | | | | | | (3075), (3076) are inconsistent by sub-proof #178. % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.97 | | | | | | | | | | | Case 2: % 188.57/26.97 | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | (3077) all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 188.57/26.98 | | | | | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.57/26.98 | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.57/26.98 | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/26.98 | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/26.98 | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/26.98 | | | | | | | | | | | | all_4_11 = n0 % 188.57/26.98 | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | BETA: splitting (3077) gives: % 188.57/26.98 | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | Case 1: % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | (3078) all_4_11 = n18 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | REDUCE: (743), (3078) imply: % 188.57/26.98 | | | | | | | | | | | | | (3079) pred(n18) = all_4_9 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | REDUCE: (715), (3078) imply: % 188.57/26.98 | | | | | | | | | | | | | (3080) succ(n18) = all_4_5 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 188.57/26.98 | | | | | | | | | | | | | simplifying with (707), (3080) gives: % 188.57/26.98 | | | | | | | | | | | | | (3081) all_4_5 = n19 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 188.57/26.98 | | | | | | | | | | | | | simplifying with (735), (3079) gives: % 188.57/26.98 | | | | | | | | | | | | | (3082) all_4_9 = n17 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | REDUCE: (684), (3081), (3082) imply: % 188.57/26.98 | | | | | | | | | | | | | (3083) sum(n17, n19) = all_4_2 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | REDUCE: (3039), (3082) imply: % 188.57/26.98 | | | | | | | | | | | | | (3084) sum(n17, n23) = all_4_7 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | REDUCE: (3037), (3081) imply: % 188.57/26.98 | | | | | | | | | | | | | (3085) sum(n21, n19) = all_4_4 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 188.57/26.98 | | | | | | | | | | | | | simplifying with (468), (3083) gives: % 188.57/26.98 | | | | | | | | | | | | | (3086) all_4_2 = n10 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n23, n17, % 188.57/26.98 | | | | | | | | | | | | | simplifying with (472), (3084) gives: % 188.57/26.98 | | | | | | | | | | | | | (3087) all_4_7 = n14 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n19, n21, % 188.57/26.98 | | | | | | | | | | | | | simplifying with (572), (3085) gives: % 188.57/26.98 | | | | | | | | | | | | | (3088) all_4_4 = n14 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (285), (385), (685), (3041), (3086), % 188.57/26.98 | | | | | | | | | | | | | (3087), (3088) are inconsistent by sub-proof #177. % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | Case 2: % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | (3089) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 188.57/26.98 | | | | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.57/26.98 | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/26.98 | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/26.98 | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/26.98 | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | BETA: splitting (3089) gives: % 188.57/26.98 | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | Case 1: % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | (3090) all_4_11 = n17 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | REDUCE: (743), (3090) imply: % 188.57/26.98 | | | | | | | | | | | | | | (3091) pred(n17) = all_4_9 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | REDUCE: (715), (3090) imply: % 188.57/26.98 | | | | | | | | | | | | | | (3092) succ(n17) = all_4_5 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 188.57/26.98 | | | | | | | | | | | | | | simplifying with (706), (3092) gives: % 188.57/26.98 | | | | | | | | | | | | | | (3093) all_4_5 = n18 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 188.57/26.98 | | | | | | | | | | | | | | simplifying with (734), (3091) gives: % 188.57/26.98 | | | | | | | | | | | | | | (3094) all_4_9 = n16 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | REDUCE: (684), (3093), (3094) imply: % 188.57/26.98 | | | | | | | | | | | | | | (3095) sum(n16, n18) = all_4_2 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | REDUCE: (3039), (3094) imply: % 188.57/26.98 | | | | | | | | | | | | | | (3096) sum(n16, n23) = all_4_7 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | REDUCE: (3037), (3093) imply: % 188.57/26.98 | | | | | | | | | | | | | | (3097) sum(n21, n18) = all_4_4 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 188.57/26.98 | | | | | | | | | | | | | | simplifying with (441), (3095) gives: % 188.57/26.98 | | | | | | | | | | | | | | (3098) all_4_2 = n8 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n23, n16, % 188.57/26.98 | | | | | | | | | | | | | | simplifying with (446), (3096) gives: % 188.57/26.98 | | | | | | | | | | | | | | (3099) all_4_7 = n13 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n18, n21, % 188.57/26.98 | | | | | | | | | | | | | | simplifying with (571), (3097) gives: % 188.57/26.98 | | | | | | | | | | | | | | (3100) all_4_4 = n13 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (233), (358), (685), (3041), (3098), % 188.57/26.98 | | | | | | | | | | | | | | (3099), (3100) are inconsistent by sub-proof #176. % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | Case 2: % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | (3101) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 188.57/26.98 | | | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.57/26.98 | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/26.98 | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/26.98 | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/26.98 | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | BETA: splitting (3101) gives: % 188.57/26.98 | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | Case 1: % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | (3102) all_4_11 = n16 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | REDUCE: (743), (3102) imply: % 188.57/26.98 | | | | | | | | | | | | | | | (3103) pred(n16) = all_4_9 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | REDUCE: (715), (3102) imply: % 188.57/26.98 | | | | | | | | | | | | | | | (3104) succ(n16) = all_4_5 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 188.57/26.98 | | | | | | | | | | | | | | | simplifying with (705), (3104) gives: % 188.57/26.98 | | | | | | | | | | | | | | | (3105) all_4_5 = n17 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 188.57/26.98 | | | | | | | | | | | | | | | simplifying with (733), (3103) gives: % 188.57/26.98 | | | | | | | | | | | | | | | (3106) all_4_9 = n15 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | REDUCE: (684), (3105), (3106) imply: % 188.57/26.98 | | | | | | | | | | | | | | | (3107) sum(n15, n17) = all_4_2 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | REDUCE: (3039), (3106) imply: % 188.57/26.98 | | | | | | | | | | | | | | | (3108) sum(n15, n23) = all_4_7 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | REDUCE: (3037), (3105) imply: % 188.57/26.98 | | | | | | | | | | | | | | | (3109) sum(n21, n17) = all_4_4 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 188.57/26.98 | | | | | | | | | | | | | | | simplifying with (414), (3107) gives: % 188.57/26.98 | | | | | | | | | | | | | | | (3110) all_4_2 = n6 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n23, n15, % 188.57/26.98 | | | | | | | | | | | | | | | simplifying with (420), (3108) gives: % 188.57/26.98 | | | | | | | | | | | | | | | (3111) all_4_7 = n12 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n17, n21, % 188.57/26.98 | | | | | | | | | | | | | | | simplifying with (570), (3109) gives: % 188.57/26.98 | | | | | | | | | | | | | | | (3112) all_4_4 = n12 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (181), (331), (685), (3041), (3110), % 188.57/26.98 | | | | | | | | | | | | | | | (3111), (3112) are inconsistent by sub-proof #175. % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | Case 2: % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | (3113) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.57/26.98 | | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.57/26.98 | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/26.98 | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/26.98 | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/26.98 | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | BETA: splitting (3113) gives: % 188.57/26.98 | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | Case 1: % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | (3114) all_4_11 = n15 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | REDUCE: (743), (3114) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | (3115) pred(n15) = all_4_9 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | REDUCE: (715), (3114) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | (3116) succ(n15) = all_4_5 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 188.57/26.98 | | | | | | | | | | | | | | | | simplifying with (704), (3116) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | (3117) all_4_5 = n16 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 188.57/26.98 | | | | | | | | | | | | | | | | simplifying with (732), (3115) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | (3118) all_4_9 = n14 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | REDUCE: (684), (3117), (3118) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | (3119) sum(n14, n16) = all_4_2 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | REDUCE: (3039), (3118) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | (3120) sum(n14, n23) = all_4_7 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | REDUCE: (3037), (3117) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | (3121) sum(n21, n16) = all_4_4 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 188.57/26.98 | | | | | | | | | | | | | | | | simplifying with (387), (3119) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | (3122) all_4_2 = n4 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n23, n14, % 188.57/26.98 | | | | | | | | | | | | | | | | simplifying with (394), (3120) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | (3123) all_4_7 = n11 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n16, n21, % 188.57/26.98 | | | | | | | | | | | | | | | | simplifying with (569), (3121) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | (3124) all_4_4 = n11 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (129), (304), (685), (3041), (3122), % 188.57/26.98 | | | | | | | | | | | | | | | | (3123), (3124) are inconsistent by sub-proof #174. % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | Case 2: % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | (3125) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.57/26.98 | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/26.98 | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/26.98 | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/26.98 | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | BETA: splitting (3125) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | Case 1: % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | (3126) all_4_11 = n14 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | REDUCE: (743), (3126) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3127) pred(n14) = all_4_9 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | REDUCE: (715), (3126) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3128) succ(n14) = all_4_5 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 188.57/26.98 | | | | | | | | | | | | | | | | | simplifying with (703), (3128) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3129) all_4_5 = n15 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 188.57/26.98 | | | | | | | | | | | | | | | | | simplifying with (731), (3127) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3130) all_4_9 = n13 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | REDUCE: (684), (3129), (3130) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3131) sum(n13, n15) = all_4_2 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | REDUCE: (3039), (3130) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3132) sum(n13, n23) = all_4_7 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | REDUCE: (3037), (3129) imply: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3133) sum(n21, n15) = all_4_4 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 188.57/26.98 | | | | | | | | | | | | | | | | | simplifying with (360), (3131) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3134) all_4_2 = n2 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n23, n13, % 188.57/26.98 | | | | | | | | | | | | | | | | | simplifying with (368), (3132) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3135) all_4_7 = n10 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n15, n21, % 188.57/26.98 | | | | | | | | | | | | | | | | | simplifying with (568), (3133) gives: % 188.57/26.98 | | | | | | | | | | | | | | | | | (3136) all_4_4 = n10 % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (277), (685), (3041), (3134), % 188.57/26.98 | | | | | | | | | | | | | | | | | (3135), (3136) are inconsistent by sub-proof #173. % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.98 | | | | | | | | | | | | | | | | Case 2: % 188.57/26.98 | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | (3137) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.57/26.99 | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/26.99 | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/26.99 | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/26.99 | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/26.99 | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | BETA: splitting (3137) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3138) all_4_11 = n13 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | REDUCE: (743), (3138) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3139) pred(n13) = all_4_9 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | REDUCE: (715), (3138) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3140) succ(n13) = all_4_5 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 188.57/26.99 | | | | | | | | | | | | | | | | | | simplifying with (702), (3140) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3141) all_4_5 = n14 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 188.57/26.99 | | | | | | | | | | | | | | | | | | simplifying with (730), (3139) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3142) all_4_9 = n12 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | REDUCE: (684), (3141), (3142) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3143) sum(n12, n14) = all_4_2 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3142) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3144) sum(n12, n23) = all_4_7 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3141) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3145) sum(n21, n14) = all_4_4 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 188.57/26.99 | | | | | | | | | | | | | | | | | | simplifying with (333), (3143) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3146) all_4_2 = n0 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n23, n12, % 188.57/26.99 | | | | | | | | | | | | | | | | | | simplifying with (342), (3144) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3147) all_4_7 = n9 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n14, n21, % 188.57/26.99 | | | | | | | | | | | | | | | | | | simplifying with (567), (3145) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3148) all_4_4 = n9 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (25), (250), (685), (3041), (3146), % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3147), (3148) are inconsistent by sub-proof #172. % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | Case 2: % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | (3149) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.57/26.99 | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/26.99 | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/26.99 | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/26.99 | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | BETA: splitting (3149) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | Case 1: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3150) all_4_11 = n12 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3150) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3151) pred(n12) = all_4_9 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3150) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3152) succ(n12) = all_4_5 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 188.57/26.99 | | | | | | | | | | | | | | | | | | | simplifying with (701), (3152) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3153) all_4_5 = n13 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 188.57/26.99 | | | | | | | | | | | | | | | | | | | simplifying with (729), (3151) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3154) all_4_9 = n11 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3153), (3154) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3155) sum(n11, n13) = all_4_2 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3154) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3156) sum(n11, n23) = all_4_7 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3153) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3157) sum(n21, n13) = all_4_4 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 188.57/26.99 | | | | | | | | | | | | | | | | | | | simplifying with (306), (3155) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3158) all_4_2 = n24 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n23, n11, % 188.57/26.99 | | | | | | | | | | | | | | | | | | | simplifying with (316), (3156) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3159) all_4_7 = n8 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n13, n21, % 188.57/26.99 | | | | | | | | | | | | | | | | | | | simplifying with (566), (3157) gives: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3160) all_4_4 = n8 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3158) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3161) sum(n24, n18) = all_4_0 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3159), (3160) imply: % 188.57/26.99 | | | | | | | | | | | | | | | | | | | (3162) sum(n8, n8) = all_4_3 % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/26.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (649), (3161), (3162) are % 188.57/26.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #322. % 188.57/26.99 | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | (3163) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3164) all_4_11 = n11 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3164) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3165) pred(n11) = all_4_9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3164) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3166) succ(n11) = all_4_5 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | simplifying with (700), (3166) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3167) all_4_5 = n12 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | simplifying with (728), (3165) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3168) all_4_9 = n10 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3167), (3168) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3169) sum(n10, n12) = all_4_2 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3168) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3170) sum(n10, n23) = all_4_7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3167) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3171) sum(n21, n12) = all_4_4 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | simplifying with (279), (3169) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3172) all_4_2 = n22 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n23, n10, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3170) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3173) all_4_7 = n7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n12, n21, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | simplifying with (565), (3171) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3174) all_4_4 = n7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3172) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3175) sum(n22, n18) = all_4_0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3173), (3174) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3176) sum(n7, n7) = all_4_3 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (597), (3175), (3176) are % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274. % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | (3177) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3177) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3178) all_4_11 = n10 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3178) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3179) pred(n10) = all_4_9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3178) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3180) succ(n10) = all_4_5 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (3180) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3181) all_4_5 = n11 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (3179) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3182) all_4_9 = n9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3181), (3182) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3183) sum(n9, n11) = all_4_2 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3182) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3184) sum(n9, n23) = all_4_7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3181) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3185) sum(n21, n11) = all_4_4 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (3183) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3186) all_4_2 = n20 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n23, n9, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (264), (3184) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3187) all_4_7 = n6 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n11, n21, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (564), (3185) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3188) all_4_4 = n6 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3186) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3189) sum(n20, n18) = all_4_0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3187), (3188) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3190) sum(n6, n6) = all_4_3 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (545), (3189), (3190) are % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #230. % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | (3191) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3191) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3192) all_4_11 = n9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3192) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3193) pred(n9) = all_4_9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3192) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3194) succ(n9) = all_4_5 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (3194) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3195) all_4_5 = n10 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (3193) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3196) all_4_9 = n8 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3195), (3196) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3197) sum(n8, n10) = all_4_2 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3196) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3198) sum(n8, n23) = all_4_7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3195) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3199) sum(n21, n10) = all_4_4 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (3197) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3200) all_4_2 = n18 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n23, n8, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (238), (3198) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3201) all_4_7 = n5 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n10, n21, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (563), (3199) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3202) all_4_4 = n5 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3200) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3203) sum(n18, n18) = all_4_0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3201), (3202) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3204) sum(n5, n5) = all_4_3 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (493), (3203), (3204) are % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190. % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | (3205) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3205) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3206) all_4_11 = n8 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3206) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3207) pred(n8) = all_4_9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3206) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3208) succ(n8) = all_4_5 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (3208) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3209) all_4_5 = n9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (3207) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3210) all_4_9 = n7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3209), (3210) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3211) sum(n7, n9) = all_4_2 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3210) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3212) sum(n7, n23) = all_4_7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3209) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3213) sum(n21, n9) = all_4_4 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (3211) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3214) all_4_2 = n16 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n23, n7, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (212), (3212) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3215) all_4_7 = n4 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n9, n21, % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (562), (3213) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3216) all_4_4 = n4 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3214) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3217) sum(n16, n18) = all_4_0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3215), (3216) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3218) sum(n4, n4) = all_4_3 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (441), (3217), (3218) are % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171. % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | (3219) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3219) gives: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_4_11 = n7 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3220) imply: % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (3221) pred(n7) = all_4_9 % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3220) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3222) succ(n7) = all_4_5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (3222) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_4_5 = n8 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (3221) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3224) all_4_9 = n6 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3223), (3224) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3225) sum(n6, n8) = all_4_2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3224) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3226) sum(n6, n23) = all_4_7 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3223) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3227) sum(n21, n8) = all_4_4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (3225) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_4_2 = n14 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n23, n6, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (186), (3226) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_4_7 = n3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n8, n21, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (561), (3227) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3230) all_4_4 = n3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3228) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3231) sum(n14, n18) = all_4_0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3229), (3230) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3232) sum(n3, n3) = all_4_3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (389), (3231), (3232) are % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #170. % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (3233) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3233) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_4_11 = n6 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3234) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3235) pred(n6) = all_4_9 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3234) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3236) succ(n6) = all_4_5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (3236) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_4_5 = n7 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (3235) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_4_9 = n5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3237), (3238) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3239) sum(n5, n7) = all_4_2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3238) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3240) sum(n5, n23) = all_4_7 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3237) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3241) sum(n21, n7) = all_4_4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (3239) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_4_2 = n12 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n23, n5, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (160), (3240) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3243) all_4_7 = n2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n7, n21, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (560), (3241) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3244) all_4_4 = n2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3242) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3245) sum(n12, n18) = all_4_0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3243), (3244) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3246) sum(n2, n2) = all_4_3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (337), (3245), (3246) are % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169. % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3247) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_4_11 = n5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3248) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) pred(n5) = all_4_9 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3248) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) succ(n5) = all_4_5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (3250) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_4_5 = n6 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (3249) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_4_9 = n4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3251), (3252) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) sum(n4, n6) = all_4_2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3252) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) sum(n4, n23) = all_4_7 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3251) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) sum(n21, n6) = all_4_4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (3253) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_4_2 = n10 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n23, n4, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (134), (3254) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_4_7 = n1 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n6, n21, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (559), (3255) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_4_4 = n1 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3256) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) sum(n10, n18) = all_4_0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3257), (3258) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) sum(n1, n1) = all_4_3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (285), (3259), (3260) are % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #168. % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3261) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_4_11 = n4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3262) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) pred(n4) = all_4_9 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3262) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) succ(n4) = all_4_5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (3264) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_4_5 = n5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (3263) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_4_9 = n3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3265), (3266) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) sum(n3, n5) = all_4_2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3266) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) sum(n3, n23) = all_4_7 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3265) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) sum(n21, n5) = all_4_4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (3267) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_4_2 = n8 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n23, n3, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (108), (3268) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_4_7 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n5, n21, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (558), (3269) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_4_4 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3270) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) sum(n8, n18) = all_4_0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3271), (3272) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) sum(n0, n0) = all_4_3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (233), (3273), (3274) are % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #167. % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3275) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_4_11 = n3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3276) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) pred(n3) = all_4_9 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3276) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) succ(n3) = all_4_5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (3278) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_4_5 = n4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (3277) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_4_9 = n2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3279), (3280) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) sum(n2, n4) = all_4_2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3280) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) sum(n2, n23) = all_4_7 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3279) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) sum(n21, n4) = all_4_4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (3281) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_4_2 = n6 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n23, n2, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (82), (3282) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_4_7 = n25 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n4, n21, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (557), (3283) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) all_4_4 = n25 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3284) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) sum(n6, n18) = all_4_0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3285), (3286) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) sum(n25, n25) = all_4_3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (181), (682), (3287), (3288) are % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #166. % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3289) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) all_4_11 = n2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3290) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) pred(n2) = all_4_9 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3290) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) succ(n2) = all_4_5 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (3292) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_4_5 = n3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (3291) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_4_9 = n1 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3293), (3294) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) sum(n1, n3) = all_4_2 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3294) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) sum(n1, n23) = all_4_7 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3293) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) sum(n21, n3) = all_4_4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (3295) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_4_2 = n4 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n23, n1, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (3296) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_4_7 = n24 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n3, n21, % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (556), (3297) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_4_4 = n24 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3298) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) sum(n4, n18) = all_4_0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3299), (3300) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) sum(n24, n24) = all_4_3 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (129), (655), (3301), (3302) are % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #165. % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) all_4_11 = n1 | all_4_11 = n0 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3303) gives: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) all_4_11 = n1 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3304) imply: % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) pred(n1) = all_4_9 % 188.57/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3304) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) succ(n1) = all_4_5 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (3306) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_4_5 = n2 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (3305) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) all_4_9 = n0 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3307), (3308) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) sum(n0, n2) = all_4_2 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3308) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) sum(n0, n23) = all_4_7 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3307) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) sum(n21, n2) = all_4_4 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3309) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_4_2 = n2 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n23, n0, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (3310) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) all_4_7 = n23 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n2, n21, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (555), (3311) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) all_4_4 = n23 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3312) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) sum(n2, n18) = all_4_0 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3313), (3314) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) sum(n23, n23) = all_4_3 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (628), (3315), (3316) are % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164. % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_4_11 = n0 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3317) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) pred(n0) = all_4_9 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3317) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) succ(n0) = all_4_5 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (3319) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_4_5 = n1 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (3318) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_4_9 = n25 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3320), (3321) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) sum(n25, n1) = all_4_2 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3321) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) sum(n25, n23) = all_4_7 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3037), (3320) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) sum(n21, n1) = all_4_4 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n1, n21, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (554), (3324) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_4_4 = n22 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (3322) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) all_4_2 = n0 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n23, n25, % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (680), (3323) gives: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) all_4_7 = n22 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3326) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) sum(n0, n18) = all_4_0 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3325), (3327) imply: % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) sum(n22, n22) = all_4_3 % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (25), (601), (3328), (3329) are % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163. % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | End of split % 188.57/27.02 | | | | | | | | | % 188.57/27.02 | | | | | | | | Case 2: % 188.57/27.02 | | | | | | | | | % 188.57/27.02 | | | | | | | | | (3330) all_4_10 = n21 | all_4_10 = n20 | all_4_10 = n19 | % 188.57/27.02 | | | | | | | | | all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 188.57/27.02 | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.57/27.02 | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.57/27.02 | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/27.02 | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/27.02 | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.02 | | | | | | | | | all_4_10 = n0 % 188.57/27.02 | | | | | | | | | % 188.57/27.02 | | | | | | | | | BETA: splitting (3031) gives: % 188.57/27.02 | | | | | | | | | % 188.57/27.02 | | | | | | | | | Case 1: % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | (3331) all_4_11 = n21 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | REDUCE: (743), (3331) imply: % 188.57/27.02 | | | | | | | | | | (3332) pred(n21) = all_4_9 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | REDUCE: (715), (3331) imply: % 188.57/27.02 | | | | | | | | | | (3333) succ(n21) = all_4_5 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_5, n21, % 188.57/27.02 | | | | | | | | | | simplifying with (710), (3333) gives: % 188.57/27.02 | | | | | | | | | | (3334) all_4_5 = n22 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_9, n21, % 188.57/27.02 | | | | | | | | | | simplifying with (738), (3332) gives: % 188.57/27.02 | | | | | | | | | | (3335) all_4_9 = n20 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | REDUCE: (687), (3334) imply: % 188.57/27.02 | | | | | | | | | | (3336) sum(all_4_6, n22) = all_4_4 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | REDUCE: (684), (3334), (3335) imply: % 188.57/27.02 | | | | | | | | | | (3337) sum(n20, n22) = all_4_2 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | REDUCE: (683), (3335) imply: % 188.57/27.02 | | | | | | | | | | (3338) sum(n20, all_4_8) = all_4_7 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n22, n20, % 188.57/27.02 | | | | | | | | | | simplifying with (549), (3337) gives: % 188.57/27.02 | | | | | | | | | | (3339) all_4_2 = n16 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | REDUCE: (688), (3339) imply: % 188.57/27.02 | | | | | | | | | | (3340) sum(n16, all_4_1) = all_4_0 % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | BETA: splitting (3330) gives: % 188.57/27.02 | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | Case 1: % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | (3341) all_4_10 = n21 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | REDUCE: (744), (3341) imply: % 188.57/27.02 | | | | | | | | | | | (3342) pred(n21) = all_4_6 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | REDUCE: (716), (3341) imply: % 188.57/27.02 | | | | | | | | | | | (3343) succ(n21) = all_4_8 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_8, n21, % 188.57/27.02 | | | | | | | | | | | simplifying with (710), (3343) gives: % 188.57/27.02 | | | | | | | | | | | (3344) all_4_8 = n22 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_6, n21, % 188.57/27.02 | | | | | | | | | | | simplifying with (738), (3342) gives: % 188.57/27.02 | | | | | | | | | | | (3345) all_4_6 = n20 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | REDUCE: (686), (3344), (3345) imply: % 188.57/27.02 | | | | | | | | | | | (3346) sum(n20, n22) = all_4_1 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | REDUCE: (3336), (3345) imply: % 188.57/27.02 | | | | | | | | | | | (3347) sum(n20, n22) = all_4_4 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | REDUCE: (3338), (3344) imply: % 188.57/27.02 | | | | | | | | | | | (3348) sum(n20, n22) = all_4_7 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n22, n20, % 188.57/27.02 | | | | | | | | | | | simplifying with (549), (3347) gives: % 188.57/27.02 | | | | | | | | | | | (3349) all_4_4 = n16 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n22, n20, % 188.57/27.02 | | | | | | | | | | | simplifying with (3346), (3347) gives: % 188.57/27.02 | | | | | | | | | | | (3350) all_4_1 = all_4_4 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n22, n20, % 188.57/27.02 | | | | | | | | | | | simplifying with (3346), (3348) gives: % 188.57/27.02 | | | | | | | | | | | (3351) all_4_1 = all_4_7 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (685), (3340), (3349), (3350), % 188.57/27.02 | | | | | | | | | | | (3351) are inconsistent by sub-proof #162. % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | Case 2: % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | (3352) all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 188.57/27.02 | | | | | | | | | | | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 188.57/27.02 | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.57/27.02 | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.57/27.02 | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/27.02 | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/27.02 | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | BETA: splitting (3352) gives: % 188.57/27.02 | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | Case 1: % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | (3353) all_4_10 = n20 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | REDUCE: (744), (3353) imply: % 188.57/27.02 | | | | | | | | | | | | (3354) pred(n20) = all_4_6 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | REDUCE: (716), (3353) imply: % 188.57/27.02 | | | | | | | | | | | | (3355) succ(n20) = all_4_8 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_8, n20, % 188.57/27.02 | | | | | | | | | | | | simplifying with (709), (3355) gives: % 188.57/27.02 | | | | | | | | | | | | (3356) all_4_8 = n21 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_6, n20, % 188.57/27.02 | | | | | | | | | | | | simplifying with (737), (3354) gives: % 188.57/27.02 | | | | | | | | | | | | (3357) all_4_6 = n19 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | REDUCE: (686), (3356), (3357) imply: % 188.57/27.02 | | | | | | | | | | | | (3358) sum(n19, n21) = all_4_1 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | REDUCE: (3336), (3357) imply: % 188.57/27.02 | | | | | | | | | | | | (3359) sum(n19, n22) = all_4_4 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | REDUCE: (3338), (3356) imply: % 188.57/27.02 | | | | | | | | | | | | (3360) sum(n20, n21) = all_4_7 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n21, n19, % 188.57/27.02 | | | | | | | | | | | | simplifying with (522), (3358) gives: % 188.57/27.02 | | | | | | | | | | | | (3361) all_4_1 = n14 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n22, n19, % 188.57/27.02 | | | | | | | | | | | | simplifying with (523), (3359) gives: % 188.57/27.02 | | | | | | | | | | | | (3362) all_4_4 = n15 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n21, n20, % 188.57/27.02 | | | | | | | | | | | | simplifying with (548), (3360) gives: % 188.57/27.02 | | | | | | | | | | | | (3363) all_4_7 = n15 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (437), (685), (3340), (3361), % 188.57/27.02 | | | | | | | | | | | | (3362), (3363) are inconsistent by sub-proof #161. % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | Case 2: % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | (3364) all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 188.57/27.02 | | | | | | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 188.57/27.02 | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.57/27.02 | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.57/27.02 | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/27.02 | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/27.02 | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | BETA: splitting (3364) gives: % 188.57/27.02 | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | Case 1: % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | (3365) all_4_10 = n19 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | REDUCE: (744), (3365) imply: % 188.57/27.02 | | | | | | | | | | | | | (3366) pred(n19) = all_4_6 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | REDUCE: (716), (3365) imply: % 188.57/27.02 | | | | | | | | | | | | | (3367) succ(n19) = all_4_8 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 188.57/27.02 | | | | | | | | | | | | | simplifying with (708), (3367) gives: % 188.57/27.02 | | | | | | | | | | | | | (3368) all_4_8 = n20 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 188.57/27.02 | | | | | | | | | | | | | simplifying with (736), (3366) gives: % 188.57/27.02 | | | | | | | | | | | | | (3369) all_4_6 = n18 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | REDUCE: (686), (3368), (3369) imply: % 188.57/27.02 | | | | | | | | | | | | | (3370) sum(n18, n20) = all_4_1 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | REDUCE: (3336), (3369) imply: % 188.57/27.02 | | | | | | | | | | | | | (3371) sum(n18, n22) = all_4_4 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | REDUCE: (3338), (3368) imply: % 188.57/27.02 | | | | | | | | | | | | | (3372) sum(n20, n20) = all_4_7 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n20, n18, % 188.57/27.02 | | | | | | | | | | | | | simplifying with (495), (3370) gives: % 188.57/27.02 | | | | | | | | | | | | | (3373) all_4_1 = n12 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n22, n18, % 188.57/27.02 | | | | | | | | | | | | | simplifying with (497), (3371) gives: % 188.57/27.02 | | | | | | | | | | | | | (3374) all_4_4 = n14 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n20, n20, % 188.57/27.02 | | | | | | | | | | | | | simplifying with (547), (3372) gives: % 188.57/27.02 | | | | | | | | | | | | | (3375) all_4_7 = n14 % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (435), (685), (3340), (3373), % 188.57/27.02 | | | | | | | | | | | | | (3374), (3375) are inconsistent by sub-proof #160. % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | Case 2: % 188.57/27.02 | | | | | | | | | | | | | % 188.57/27.02 | | | | | | | | | | | | | (3376) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 188.57/27.02 | | | | | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.57/27.02 | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.57/27.02 | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/27.03 | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/27.03 | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.03 | | | | | | | | | | | | | all_4_10 = n0 % 188.57/27.03 | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | BETA: splitting (3376) gives: % 188.57/27.03 | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | Case 1: % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | (3377) all_4_10 = n18 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | REDUCE: (744), (3377) imply: % 188.57/27.03 | | | | | | | | | | | | | | (3378) pred(n18) = all_4_6 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | REDUCE: (716), (3377) imply: % 188.57/27.03 | | | | | | | | | | | | | | (3379) succ(n18) = all_4_8 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 188.57/27.03 | | | | | | | | | | | | | | simplifying with (707), (3379) gives: % 188.57/27.03 | | | | | | | | | | | | | | (3380) all_4_8 = n19 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 188.57/27.03 | | | | | | | | | | | | | | simplifying with (735), (3378) gives: % 188.57/27.03 | | | | | | | | | | | | | | (3381) all_4_6 = n17 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | REDUCE: (686), (3380), (3381) imply: % 188.57/27.03 | | | | | | | | | | | | | | (3382) sum(n17, n19) = all_4_1 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | REDUCE: (3336), (3381) imply: % 188.57/27.03 | | | | | | | | | | | | | | (3383) sum(n17, n22) = all_4_4 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | REDUCE: (3338), (3380) imply: % 188.57/27.03 | | | | | | | | | | | | | | (3384) sum(n20, n19) = all_4_7 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 188.57/27.03 | | | | | | | | | | | | | | simplifying with (468), (3382) gives: % 188.57/27.03 | | | | | | | | | | | | | | (3385) all_4_1 = n10 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n22, n17, % 188.57/27.03 | | | | | | | | | | | | | | simplifying with (471), (3383) gives: % 188.57/27.03 | | | | | | | | | | | | | | (3386) all_4_4 = n13 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n19, n20, % 188.57/27.03 | | | | | | | | | | | | | | simplifying with (546), (3384) gives: % 188.57/27.03 | | | | | | | | | | | | | | (3387) all_4_7 = n13 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (433), (685), (3340), (3385), % 188.57/27.03 | | | | | | | | | | | | | | (3386), (3387) are inconsistent by sub-proof #159. % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | Case 2: % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | (3388) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 188.57/27.03 | | | | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.57/27.03 | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.57/27.03 | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/27.03 | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/27.03 | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | BETA: splitting (3388) gives: % 188.57/27.03 | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | Case 1: % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | (3389) all_4_10 = n17 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | REDUCE: (744), (3389) imply: % 188.57/27.03 | | | | | | | | | | | | | | | (3390) pred(n17) = all_4_6 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | REDUCE: (716), (3389) imply: % 188.57/27.03 | | | | | | | | | | | | | | | (3391) succ(n17) = all_4_8 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 188.57/27.03 | | | | | | | | | | | | | | | simplifying with (706), (3391) gives: % 188.57/27.03 | | | | | | | | | | | | | | | (3392) all_4_8 = n18 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 188.57/27.03 | | | | | | | | | | | | | | | simplifying with (734), (3390) gives: % 188.57/27.03 | | | | | | | | | | | | | | | (3393) all_4_6 = n16 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | REDUCE: (686), (3392), (3393) imply: % 188.57/27.03 | | | | | | | | | | | | | | | (3394) sum(n16, n18) = all_4_1 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | REDUCE: (3336), (3393) imply: % 188.57/27.03 | | | | | | | | | | | | | | | (3395) sum(n16, n22) = all_4_4 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | REDUCE: (3338), (3392) imply: % 188.57/27.03 | | | | | | | | | | | | | | | (3396) sum(n20, n18) = all_4_7 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 188.57/27.03 | | | | | | | | | | | | | | | simplifying with (441), (3394) gives: % 188.57/27.03 | | | | | | | | | | | | | | | (3397) all_4_1 = n8 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n22, n16, % 188.57/27.03 | | | | | | | | | | | | | | | simplifying with (445), (3395) gives: % 188.57/27.03 | | | | | | | | | | | | | | | (3398) all_4_4 = n12 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n18, n20, % 188.57/27.03 | | | | | | | | | | | | | | | simplifying with (545), (3396) gives: % 188.57/27.03 | | | | | | | | | | | | | | | (3399) all_4_7 = n12 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (431), (685), (3340), (3397), % 188.57/27.03 | | | | | | | | | | | | | | | (3398), (3399) are inconsistent by sub-proof #158. % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | Case 2: % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | (3400) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 188.57/27.03 | | | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.57/27.03 | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.57/27.03 | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/27.03 | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/27.03 | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | BETA: splitting (3400) gives: % 188.57/27.03 | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | Case 1: % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | (3401) all_4_10 = n16 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | REDUCE: (744), (3401) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | (3402) pred(n16) = all_4_6 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | REDUCE: (716), (3401) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | (3403) succ(n16) = all_4_8 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 188.57/27.03 | | | | | | | | | | | | | | | | simplifying with (705), (3403) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | (3404) all_4_8 = n17 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 188.57/27.03 | | | | | | | | | | | | | | | | simplifying with (733), (3402) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | (3405) all_4_6 = n15 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | REDUCE: (686), (3404), (3405) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | (3406) sum(n15, n17) = all_4_1 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | REDUCE: (3336), (3405) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | (3407) sum(n15, n22) = all_4_4 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | REDUCE: (3338), (3404) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | (3408) sum(n20, n17) = all_4_7 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 188.57/27.03 | | | | | | | | | | | | | | | | simplifying with (414), (3406) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | (3409) all_4_1 = n6 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n22, n15, % 188.57/27.03 | | | | | | | | | | | | | | | | simplifying with (419), (3407) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | (3410) all_4_4 = n11 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n17, n20, % 188.57/27.03 | | | | | | | | | | | | | | | | simplifying with (544), (3408) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | (3411) all_4_7 = n11 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (429), (685), (3340), (3409), % 188.57/27.03 | | | | | | | | | | | | | | | | (3410), (3411) are inconsistent by sub-proof #157. % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | Case 2: % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | (3412) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.57/27.03 | | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.57/27.03 | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/27.03 | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/27.03 | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.03 | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | BETA: splitting (3412) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | Case 1: % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | (3413) all_4_10 = n15 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | REDUCE: (744), (3413) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3414) pred(n15) = all_4_6 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | REDUCE: (716), (3413) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3415) succ(n15) = all_4_8 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 188.57/27.03 | | | | | | | | | | | | | | | | | simplifying with (704), (3415) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3416) all_4_8 = n16 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 188.57/27.03 | | | | | | | | | | | | | | | | | simplifying with (732), (3414) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3417) all_4_6 = n14 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | REDUCE: (686), (3416), (3417) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3418) sum(n14, n16) = all_4_1 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | REDUCE: (3336), (3417) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3419) sum(n14, n22) = all_4_4 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | REDUCE: (3338), (3416) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3420) sum(n20, n16) = all_4_7 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 188.57/27.03 | | | | | | | | | | | | | | | | | simplifying with (387), (3418) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3421) all_4_1 = n4 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n22, n14, % 188.57/27.03 | | | | | | | | | | | | | | | | | simplifying with (393), (3419) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3422) all_4_4 = n10 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n16, n20, % 188.57/27.03 | | | | | | | | | | | | | | | | | simplifying with (543), (3420) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | (3423) all_4_7 = n10 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (427), (685), (3340), (3421), % 188.57/27.03 | | | | | | | | | | | | | | | | | (3422), (3423) are inconsistent by sub-proof #156. % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | Case 2: % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | (3424) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.57/27.03 | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.57/27.03 | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/27.03 | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/27.03 | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3425) all_4_10 = n14 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (744), (3425) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3426) pred(n14) = all_4_6 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (716), (3425) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3427) succ(n14) = all_4_8 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 188.57/27.03 | | | | | | | | | | | | | | | | | | simplifying with (703), (3427) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3428) all_4_8 = n15 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 188.57/27.03 | | | | | | | | | | | | | | | | | | simplifying with (731), (3426) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3429) all_4_6 = n13 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (686), (3428), (3429) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3430) sum(n13, n15) = all_4_1 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3429) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3431) sum(n13, n22) = all_4_4 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3428) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3432) sum(n20, n15) = all_4_7 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 188.57/27.03 | | | | | | | | | | | | | | | | | | simplifying with (360), (3430) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3433) all_4_1 = n2 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n22, n13, % 188.57/27.03 | | | | | | | | | | | | | | | | | | simplifying with (367), (3431) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3434) all_4_4 = n9 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n15, n20, % 188.57/27.03 | | | | | | | | | | | | | | | | | | simplifying with (542), (3432) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3435) all_4_7 = n9 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (425), (685), (3340), (3433), % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3434), (3435) are inconsistent by sub-proof #155. % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | (3436) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.57/27.03 | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.57/27.03 | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/27.03 | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/27.03 | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | BETA: splitting (3436) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3437) all_4_10 = n13 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3437) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3438) pred(n13) = all_4_6 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3437) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3439) succ(n13) = all_4_8 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 188.57/27.03 | | | | | | | | | | | | | | | | | | | simplifying with (702), (3439) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3440) all_4_8 = n14 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 188.57/27.03 | | | | | | | | | | | | | | | | | | | simplifying with (730), (3438) gives: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3441) all_4_6 = n12 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3440), (3441) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3442) sum(n12, n14) = all_4_1 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3441) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3443) sum(n12, n22) = all_4_4 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3440) imply: % 188.57/27.03 | | | | | | | | | | | | | | | | | | | (3444) sum(n20, n14) = all_4_7 % 188.57/27.03 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | simplifying with (333), (3442) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | (3445) all_4_1 = n0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n22, n12, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | simplifying with (341), (3443) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | (3446) all_4_4 = n8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n14, n20, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | simplifying with (541), (3444) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | (3447) all_4_7 = n8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (423), (685), (3340), (3445), % 188.57/27.04 | | | | | | | | | | | | | | | | | | | (3446), (3447) are inconsistent by sub-proof #154. % 188.57/27.04 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | (3448) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (3448) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3449) all_4_10 = n12 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3449) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3450) pred(n12) = all_4_6 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3449) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3451) succ(n12) = all_4_8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | simplifying with (701), (3451) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3452) all_4_8 = n13 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | simplifying with (729), (3450) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3453) all_4_6 = n11 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3452), (3453) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3454) sum(n11, n13) = all_4_1 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3453) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3455) sum(n11, n22) = all_4_4 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3452) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3456) sum(n20, n13) = all_4_7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | simplifying with (306), (3454) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3457) all_4_1 = n24 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n22, n11, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | simplifying with (315), (3455) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3458) all_4_4 = n7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n13, n20, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | simplifying with (540), (3456) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3459) all_4_7 = n7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3458), (3459) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3460) sum(n7, n7) = all_4_3 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3457) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3461) sum(n16, n24) = all_4_0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (447), (3460), (3461) are % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #297. % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | (3462) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3463) all_4_10 = n11 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3463) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3464) pred(n11) = all_4_6 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3463) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3465) succ(n11) = all_4_8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (3465) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3466) all_4_8 = n12 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (3464) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3467) all_4_6 = n10 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3466), (3467) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3468) sum(n10, n12) = all_4_1 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3467) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3469) sum(n10, n22) = all_4_4 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3466) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3470) sum(n20, n12) = all_4_7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (3468) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3471) all_4_1 = n22 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n22, n10, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3469) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3472) all_4_4 = n6 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n12, n20, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (539), (3470) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3473) all_4_7 = n6 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3472), (3473) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3474) sum(n6, n6) = all_4_3 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3471) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3475) sum(n16, n22) = all_4_0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (445), (3474), (3475) are % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #251. % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | (3476) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3476) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3477) all_4_10 = n10 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3477) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3478) pred(n10) = all_4_6 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3477) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3479) succ(n10) = all_4_8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (3479) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3480) all_4_8 = n11 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (3478) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3481) all_4_6 = n9 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3480), (3481) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3482) sum(n9, n11) = all_4_1 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3481) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3483) sum(n9, n22) = all_4_4 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3480) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3484) sum(n20, n11) = all_4_7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (3482) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3485) all_4_1 = n20 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n22, n9, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | simplifying with (263), (3483) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3486) all_4_4 = n5 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n11, n20, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | simplifying with (538), (3484) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3487) all_4_7 = n5 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3486), (3487) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3488) sum(n5, n5) = all_4_3 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3485) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3489) sum(n16, n20) = all_4_0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (443), (3488), (3489) are % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209. % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | (3490) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3490) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3491) all_4_10 = n9 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3491) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3492) pred(n9) = all_4_6 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3491) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3493) succ(n9) = all_4_8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (3493) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3494) all_4_8 = n10 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (3492) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3495) all_4_6 = n8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3494), (3495) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3496) sum(n8, n10) = all_4_1 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3495) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3497) sum(n8, n22) = all_4_4 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3494) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3498) sum(n20, n10) = all_4_7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (3496) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3499) all_4_1 = n18 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n22, n8, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (3497) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3500) all_4_4 = n4 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n10, n20, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (537), (3498) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3501) all_4_7 = n4 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3500), (3501) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3502) sum(n4, n4) = all_4_3 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3499) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3503) sum(n16, n18) = all_4_0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (441), (3502), (3503) are % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171. % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | (3504) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3504) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_4_10 = n8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3505) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3506) pred(n8) = all_4_6 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3505) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3507) succ(n8) = all_4_8 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (3507) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3508) all_4_8 = n9 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (3506) gives: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3509) all_4_6 = n7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3508), (3509) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3510) sum(n7, n9) = all_4_1 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3509) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3511) sum(n7, n22) = all_4_4 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3508) imply: % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (3512) sum(n20, n9) = all_4_7 % 188.57/27.04 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (3510) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_4_1 = n16 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n22, n7, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (211), (3511) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_4_4 = n3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n9, n20, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (536), (3512) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_4_7 = n3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3514), (3515) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (3516) sum(n3, n3) = all_4_3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3513) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (3517) sum(n16, n16) = all_4_0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (439), (3516), (3517) are % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153. % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3518) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_4_10 = n7 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3519) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3520) pred(n7) = all_4_6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3519) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3521) succ(n7) = all_4_8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (3521) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3522) all_4_8 = n8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (3520) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3523) all_4_6 = n6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3522), (3523) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3524) sum(n6, n8) = all_4_1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3523) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3525) sum(n6, n22) = all_4_4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3522) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3526) sum(n20, n8) = all_4_7 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (3524) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3527) all_4_1 = n14 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n22, n6, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (185), (3525) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_4_4 = n2 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n8, n20, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (535), (3526) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3529) all_4_7 = n2 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3528), (3529) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3530) sum(n2, n2) = all_4_3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3527) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3531) sum(n16, n14) = all_4_0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (437), (3530), (3531) are % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #152. % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3532) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3532) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) all_4_10 = n6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3533) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) pred(n6) = all_4_6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3533) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) succ(n6) = all_4_8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (3535) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_4_8 = n7 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (3534) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) all_4_6 = n5 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3536), (3537) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) sum(n5, n7) = all_4_1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3537) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) sum(n5, n22) = all_4_4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3536) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) sum(n20, n7) = all_4_7 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (3538) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_4_1 = n12 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n22, n5, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (159), (3539) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) all_4_4 = n1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n7, n20, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (534), (3540) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_4_7 = n1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3542), (3543) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) sum(n1, n1) = all_4_3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3541) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) sum(n16, n12) = all_4_0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (435), (3544), (3545) are % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #151. % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3546) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) all_4_10 = n5 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3547) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) pred(n5) = all_4_6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3547) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) succ(n5) = all_4_8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (3549) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) all_4_8 = n6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (3548) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) all_4_6 = n4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3550), (3551) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) sum(n4, n6) = all_4_1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3551) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) sum(n4, n22) = all_4_4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3550) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) sum(n20, n6) = all_4_7 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (3552) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_4_1 = n10 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n22, n4, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (133), (3553) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_4_4 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n6, n20, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (533), (3554) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_4_7 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3556), (3557) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) sum(n0, n0) = all_4_3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3555) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) sum(n16, n10) = all_4_0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (433), (3558), (3559) are % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #150. % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3560) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_4_10 = n4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3561) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) pred(n4) = all_4_6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3561) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) succ(n4) = all_4_8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (3563) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) all_4_8 = n5 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (3562) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_4_6 = n3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3564), (3565) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) sum(n3, n5) = all_4_1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3565) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) sum(n3, n22) = all_4_4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3564) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) sum(n20, n5) = all_4_7 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (3566) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_4_1 = n8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n22, n3, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3567) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_4_4 = n25 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n5, n20, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (532), (3568) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) all_4_7 = n25 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3570), (3571) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) sum(n25, n25) = all_4_3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3569) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) sum(n16, n8) = all_4_0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (431), (682), (3572), (3573) are % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149. % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3574) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_4_10 = n3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3575) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) pred(n3) = all_4_6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3575) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) succ(n3) = all_4_8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (3577) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_4_8 = n4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (3576) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) all_4_6 = n2 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3578), (3579) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) sum(n2, n4) = all_4_1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3579) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) sum(n2, n22) = all_4_4 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3578) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) sum(n20, n4) = all_4_7 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (3580) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_4_1 = n6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n22, n2, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (81), (3581) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) all_4_4 = n24 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n4, n20, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (531), (3582) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_4_7 = n24 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3584), (3585) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) sum(n24, n24) = all_4_3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3583) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) sum(n16, n6) = all_4_0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (429), (655), (3586), (3587) are % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148. % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3588) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) all_4_10 = n2 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3589) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) pred(n2) = all_4_6 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3589) imply: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) succ(n2) = all_4_8 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (3591) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) all_4_8 = n3 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (3590) gives: % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) all_4_6 = n1 % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3592), (3593) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) sum(n1, n3) = all_4_1 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3593) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) sum(n1, n22) = all_4_4 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3592) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) sum(n20, n3) = all_4_7 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (3594) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) all_4_1 = n4 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n22, n1, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (3595) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) all_4_4 = n23 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n3, n20, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (530), (3596) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) all_4_7 = n23 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3598), (3599) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) sum(n23, n23) = all_4_3 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3597) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) sum(n16, n4) = all_4_0 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (427), (628), (3600), (3601) are % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #147. % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) all_4_10 = n1 | all_4_10 = n0 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_4_10 = n1 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3603) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) pred(n1) = all_4_6 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3603) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) succ(n1) = all_4_8 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (3605) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) all_4_8 = n2 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (3604) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) all_4_6 = n0 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3606), (3607) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) sum(n0, n2) = all_4_1 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3607) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) sum(n0, n22) = all_4_4 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3606) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) sum(n20, n2) = all_4_7 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3608) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) all_4_1 = n2 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n22, n0, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (3609) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) all_4_4 = n22 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n2, n20, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (529), (3610) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) all_4_7 = n22 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3612), (3613) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) sum(n22, n22) = all_4_3 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3611) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) sum(n16, n2) = all_4_0 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (425), (601), (3614), (3615) are % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #146. % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_4_10 = n0 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3616) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) pred(n0) = all_4_6 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3616) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) succ(n0) = all_4_8 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (3618) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) all_4_8 = n1 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (3617) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_4_6 = n25 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (3619), (3620) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) sum(n25, n1) = all_4_1 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3336), (3620) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) sum(n25, n22) = all_4_4 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3338), (3619) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) sum(n20, n1) = all_4_7 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n1, n20, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (528), (3623) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) all_4_7 = n21 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (3621) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) all_4_1 = n0 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n22, n25, % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (679), (3622) gives: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) all_4_4 = n21 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3624), (3626) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) sum(n21, n21) = all_4_3 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3340), (3625) imply: % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) sum(n16, n0) = all_4_0 % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (423), (574), (3627), (3628) are % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145. % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | End of split % 188.57/27.06 | | | | | | | | | | % 188.57/27.06 | | | | | | | | | Case 2: % 188.57/27.06 | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | (3629) all_4_11 = n20 | all_4_11 = n19 | all_4_11 = n18 | % 188.57/27.06 | | | | | | | | | | all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 188.57/27.06 | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.57/27.06 | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/27.06 | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/27.06 | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.06 | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.06 | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | BETA: splitting (3330) gives: % 188.57/27.06 | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | Case 1: % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | (3630) all_4_10 = n21 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | REDUCE: (744), (3630) imply: % 188.57/27.06 | | | | | | | | | | | (3631) pred(n21) = all_4_6 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | REDUCE: (716), (3630) imply: % 188.57/27.06 | | | | | | | | | | | (3632) succ(n21) = all_4_8 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | GROUND_INST: instantiating (2) with n22, all_4_8, n21, % 188.57/27.06 | | | | | | | | | | | simplifying with (710), (3632) gives: % 188.57/27.06 | | | | | | | | | | | (3633) all_4_8 = n22 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | GROUND_INST: instantiating (3) with n20, all_4_6, n21, % 188.57/27.06 | | | | | | | | | | | simplifying with (738), (3631) gives: % 188.57/27.06 | | | | | | | | | | | (3634) all_4_6 = n20 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | REDUCE: (687), (3634) imply: % 188.57/27.06 | | | | | | | | | | | (3635) sum(n20, all_4_5) = all_4_4 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | REDUCE: (686), (3633), (3634) imply: % 188.57/27.06 | | | | | | | | | | | (3636) sum(n20, n22) = all_4_1 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | REDUCE: (683), (3633) imply: % 188.57/27.06 | | | | | | | | | | | (3637) sum(all_4_9, n22) = all_4_7 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n22, n20, % 188.57/27.06 | | | | | | | | | | | simplifying with (549), (3636) gives: % 188.57/27.06 | | | | | | | | | | | (3638) all_4_1 = n16 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | REDUCE: (688), (3638) imply: % 188.57/27.06 | | | | | | | | | | | (3639) sum(all_4_2, n16) = all_4_0 % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | BETA: splitting (3629) gives: % 188.57/27.06 | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | Case 1: % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | (3640) all_4_11 = n20 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | REDUCE: (743), (3640) imply: % 188.57/27.06 | | | | | | | | | | | | (3641) pred(n20) = all_4_9 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | REDUCE: (715), (3640) imply: % 188.57/27.06 | | | | | | | | | | | | (3642) succ(n20) = all_4_5 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_5, n20, % 188.57/27.06 | | | | | | | | | | | | simplifying with (709), (3642) gives: % 188.57/27.06 | | | | | | | | | | | | (3643) all_4_5 = n21 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_9, n20, % 188.57/27.06 | | | | | | | | | | | | simplifying with (737), (3641) gives: % 188.57/27.06 | | | | | | | | | | | | (3644) all_4_9 = n19 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | REDUCE: (684), (3643), (3644) imply: % 188.57/27.06 | | | | | | | | | | | | (3645) sum(n19, n21) = all_4_2 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | REDUCE: (3637), (3644) imply: % 188.57/27.06 | | | | | | | | | | | | (3646) sum(n19, n22) = all_4_7 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | REDUCE: (3635), (3643) imply: % 188.57/27.06 | | | | | | | | | | | | (3647) sum(n20, n21) = all_4_4 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n21, n19, % 188.57/27.06 | | | | | | | | | | | | simplifying with (522), (3645) gives: % 188.57/27.06 | | | | | | | | | | | | (3648) all_4_2 = n14 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n22, n19, % 188.57/27.06 | | | | | | | | | | | | simplifying with (523), (3646) gives: % 188.57/27.06 | | | | | | | | | | | | (3649) all_4_7 = n15 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n21, n20, % 188.57/27.06 | | | | | | | | | | | | simplifying with (548), (3647) gives: % 188.57/27.06 | | | | | | | | | | | | (3650) all_4_4 = n15 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | REF_CLOSE: (4), (6), (387), (412), (685), (3639), (3648), % 188.57/27.06 | | | | | | | | | | | | (3649), (3650) are inconsistent by sub-proof #144. % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | Case 2: % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | (3651) all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 188.57/27.06 | | | | | | | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 188.57/27.06 | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.57/27.06 | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/27.06 | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/27.06 | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.06 | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | BETA: splitting (3651) gives: % 188.57/27.06 | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | Case 1: % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | (3652) all_4_11 = n19 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | REDUCE: (743), (3652) imply: % 188.57/27.06 | | | | | | | | | | | | | (3653) pred(n19) = all_4_9 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | REDUCE: (715), (3652) imply: % 188.57/27.06 | | | | | | | | | | | | | (3654) succ(n19) = all_4_5 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_5, n19, % 188.57/27.06 | | | | | | | | | | | | | simplifying with (708), (3654) gives: % 188.57/27.06 | | | | | | | | | | | | | (3655) all_4_5 = n20 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_9, n19, % 188.57/27.06 | | | | | | | | | | | | | simplifying with (736), (3653) gives: % 188.57/27.06 | | | | | | | | | | | | | (3656) all_4_9 = n18 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | REDUCE: (684), (3655), (3656) imply: % 188.57/27.06 | | | | | | | | | | | | | (3657) sum(n18, n20) = all_4_2 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | REDUCE: (3637), (3656) imply: % 188.57/27.06 | | | | | | | | | | | | | (3658) sum(n18, n22) = all_4_7 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | REDUCE: (3635), (3655) imply: % 188.57/27.06 | | | | | | | | | | | | | (3659) sum(n20, n20) = all_4_4 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n20, n18, % 188.57/27.06 | | | | | | | | | | | | | simplifying with (495), (3657) gives: % 188.57/27.06 | | | | | | | | | | | | | (3660) all_4_2 = n12 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n22, n18, % 188.57/27.06 | | | | | | | | | | | | | simplifying with (497), (3658) gives: % 188.57/27.06 | | | | | | | | | | | | | (3661) all_4_7 = n14 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n20, n20, % 188.57/27.06 | | | | | | | | | | | | | simplifying with (547), (3659) gives: % 188.57/27.06 | | | | | | | | | | | | | (3662) all_4_4 = n14 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (335), (385), (685), (3639), (3660), % 188.57/27.06 | | | | | | | | | | | | | (3661), (3662) are inconsistent by sub-proof #143. % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | Case 2: % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | (3663) all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 188.57/27.06 | | | | | | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.57/27.06 | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.57/27.06 | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/27.06 | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/27.06 | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.06 | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | BETA: splitting (3663) gives: % 188.57/27.06 | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | Case 1: % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | (3664) all_4_11 = n18 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | REDUCE: (743), (3664) imply: % 188.57/27.06 | | | | | | | | | | | | | | (3665) pred(n18) = all_4_9 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | REDUCE: (715), (3664) imply: % 188.57/27.06 | | | | | | | | | | | | | | (3666) succ(n18) = all_4_5 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 188.57/27.06 | | | | | | | | | | | | | | simplifying with (707), (3666) gives: % 188.57/27.06 | | | | | | | | | | | | | | (3667) all_4_5 = n19 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 188.57/27.06 | | | | | | | | | | | | | | simplifying with (735), (3665) gives: % 188.57/27.06 | | | | | | | | | | | | | | (3668) all_4_9 = n17 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | REDUCE: (684), (3667), (3668) imply: % 188.57/27.06 | | | | | | | | | | | | | | (3669) sum(n17, n19) = all_4_2 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | REDUCE: (3637), (3668) imply: % 188.57/27.06 | | | | | | | | | | | | | | (3670) sum(n17, n22) = all_4_7 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | REDUCE: (3635), (3667) imply: % 188.57/27.06 | | | | | | | | | | | | | | (3671) sum(n20, n19) = all_4_4 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 188.57/27.06 | | | | | | | | | | | | | | simplifying with (468), (3669) gives: % 188.57/27.06 | | | | | | | | | | | | | | (3672) all_4_2 = n10 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.06 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n22, n17, % 188.57/27.06 | | | | | | | | | | | | | | simplifying with (471), (3670) gives: % 188.57/27.06 | | | | | | | | | | | | | | (3673) all_4_7 = n13 % 188.57/27.06 | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n19, n20, % 188.57/27.07 | | | | | | | | | | | | | | simplifying with (546), (3671) gives: % 188.57/27.07 | | | | | | | | | | | | | | (3674) all_4_4 = n13 % 188.57/27.07 | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (283), (358), (685), (3639), (3672), % 188.57/27.07 | | | | | | | | | | | | | | (3673), (3674) are inconsistent by sub-proof #142. % 188.57/27.07 | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | Case 2: % 188.57/27.07 | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | (3675) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 188.57/27.07 | | | | | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.57/27.07 | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/27.07 | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/27.07 | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.07 | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.07 | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | BETA: splitting (3675) gives: % 188.57/27.07 | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | Case 1: % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | (3676) all_4_11 = n17 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | REDUCE: (743), (3676) imply: % 188.57/27.07 | | | | | | | | | | | | | | | (3677) pred(n17) = all_4_9 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | REDUCE: (715), (3676) imply: % 188.57/27.07 | | | | | | | | | | | | | | | (3678) succ(n17) = all_4_5 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 188.57/27.07 | | | | | | | | | | | | | | | simplifying with (706), (3678) gives: % 188.57/27.07 | | | | | | | | | | | | | | | (3679) all_4_5 = n18 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 188.57/27.07 | | | | | | | | | | | | | | | simplifying with (734), (3677) gives: % 188.57/27.07 | | | | | | | | | | | | | | | (3680) all_4_9 = n16 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | REDUCE: (684), (3679), (3680) imply: % 188.57/27.07 | | | | | | | | | | | | | | | (3681) sum(n16, n18) = all_4_2 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | REDUCE: (3637), (3680) imply: % 188.57/27.07 | | | | | | | | | | | | | | | (3682) sum(n16, n22) = all_4_7 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | REDUCE: (3635), (3679) imply: % 188.57/27.07 | | | | | | | | | | | | | | | (3683) sum(n20, n18) = all_4_4 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 188.57/27.07 | | | | | | | | | | | | | | | simplifying with (441), (3681) gives: % 188.57/27.07 | | | | | | | | | | | | | | | (3684) all_4_2 = n8 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n22, n16, % 188.57/27.07 | | | | | | | | | | | | | | | simplifying with (445), (3682) gives: % 188.57/27.07 | | | | | | | | | | | | | | | (3685) all_4_7 = n12 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n18, n20, % 188.57/27.07 | | | | | | | | | | | | | | | simplifying with (545), (3683) gives: % 188.57/27.07 | | | | | | | | | | | | | | | (3686) all_4_4 = n12 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (231), (331), (685), (3639), (3684), % 188.57/27.07 | | | | | | | | | | | | | | | (3685), (3686) are inconsistent by sub-proof #141. % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | Case 2: % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | (3687) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 188.57/27.07 | | | | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.57/27.07 | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/27.07 | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/27.07 | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.07 | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | BETA: splitting (3687) gives: % 188.57/27.07 | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | Case 1: % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | (3688) all_4_11 = n16 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | REDUCE: (743), (3688) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | (3689) pred(n16) = all_4_9 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | REDUCE: (715), (3688) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | (3690) succ(n16) = all_4_5 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 188.57/27.07 | | | | | | | | | | | | | | | | simplifying with (705), (3690) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | (3691) all_4_5 = n17 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 188.57/27.07 | | | | | | | | | | | | | | | | simplifying with (733), (3689) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | (3692) all_4_9 = n15 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | REDUCE: (684), (3691), (3692) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | (3693) sum(n15, n17) = all_4_2 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | REDUCE: (3637), (3692) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | (3694) sum(n15, n22) = all_4_7 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | REDUCE: (3635), (3691) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | (3695) sum(n20, n17) = all_4_4 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 188.57/27.07 | | | | | | | | | | | | | | | | simplifying with (414), (3693) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | (3696) all_4_2 = n6 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n22, n15, % 188.57/27.07 | | | | | | | | | | | | | | | | simplifying with (419), (3694) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | (3697) all_4_7 = n11 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n17, n20, % 188.57/27.07 | | | | | | | | | | | | | | | | simplifying with (544), (3695) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | (3698) all_4_4 = n11 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (179), (304), (685), (3639), (3696), % 188.57/27.07 | | | | | | | | | | | | | | | | (3697), (3698) are inconsistent by sub-proof #140. % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | Case 2: % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | (3699) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 188.57/27.07 | | | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.57/27.07 | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/27.07 | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/27.07 | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.07 | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | BETA: splitting (3699) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | Case 1: % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | (3700) all_4_11 = n15 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | REDUCE: (743), (3700) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3701) pred(n15) = all_4_9 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | REDUCE: (715), (3700) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3702) succ(n15) = all_4_5 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 188.57/27.07 | | | | | | | | | | | | | | | | | simplifying with (704), (3702) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3703) all_4_5 = n16 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 188.57/27.07 | | | | | | | | | | | | | | | | | simplifying with (732), (3701) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3704) all_4_9 = n14 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | REDUCE: (684), (3703), (3704) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3705) sum(n14, n16) = all_4_2 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | REDUCE: (3637), (3704) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3706) sum(n14, n22) = all_4_7 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | REDUCE: (3635), (3703) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3707) sum(n20, n16) = all_4_4 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 188.57/27.07 | | | | | | | | | | | | | | | | | simplifying with (387), (3705) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3708) all_4_2 = n4 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n22, n14, % 188.57/27.07 | | | | | | | | | | | | | | | | | simplifying with (393), (3706) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3709) all_4_7 = n10 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n16, n20, % 188.57/27.07 | | | | | | | | | | | | | | | | | simplifying with (543), (3707) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | (3710) all_4_4 = n10 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (127), (277), (685), (3639), (3708), % 188.57/27.07 | | | | | | | | | | | | | | | | | (3709), (3710) are inconsistent by sub-proof #139. % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | Case 2: % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | (3711) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 188.57/27.07 | | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/27.07 | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/27.07 | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.07 | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | BETA: splitting (3711) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3712) all_4_11 = n14 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | REDUCE: (743), (3712) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3713) pred(n14) = all_4_9 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | REDUCE: (715), (3712) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3714) succ(n14) = all_4_5 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 188.57/27.07 | | | | | | | | | | | | | | | | | | simplifying with (703), (3714) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3715) all_4_5 = n15 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 188.57/27.07 | | | | | | | | | | | | | | | | | | simplifying with (731), (3713) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3716) all_4_9 = n13 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | REDUCE: (684), (3715), (3716) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3717) sum(n13, n15) = all_4_2 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3716) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3718) sum(n13, n22) = all_4_7 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3715) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3719) sum(n20, n15) = all_4_4 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 188.57/27.07 | | | | | | | | | | | | | | | | | | simplifying with (360), (3717) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3720) all_4_2 = n2 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n22, n13, % 188.57/27.07 | | | | | | | | | | | | | | | | | | simplifying with (367), (3718) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3721) all_4_7 = n9 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n15, n20, % 188.57/27.07 | | | | | | | | | | | | | | | | | | simplifying with (542), (3719) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3722) all_4_4 = n9 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (250), (685), (3639), (3720), % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3721), (3722) are inconsistent by sub-proof #138. % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | (3723) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | BETA: splitting (3723) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3724) all_4_11 = n13 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3724) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3725) pred(n13) = all_4_9 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3724) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3726) succ(n13) = all_4_5 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | simplifying with (702), (3726) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3727) all_4_5 = n14 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | simplifying with (730), (3725) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3728) all_4_9 = n12 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3727), (3728) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3729) sum(n12, n14) = all_4_2 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3728) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3730) sum(n12, n22) = all_4_7 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3727) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3731) sum(n20, n14) = all_4_4 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | simplifying with (333), (3729) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3732) all_4_2 = n0 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n22, n12, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | simplifying with (341), (3730) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3733) all_4_7 = n8 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n14, n20, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | simplifying with (541), (3731) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3734) all_4_4 = n8 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (23), (223), (685), (3639), (3732), % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3733), (3734) are inconsistent by sub-proof #137. % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | (3735) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (3735) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3736) all_4_11 = n12 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3736) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3737) pred(n12) = all_4_9 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3736) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3738) succ(n12) = all_4_5 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | simplifying with (701), (3738) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3739) all_4_5 = n13 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | simplifying with (729), (3737) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3740) all_4_9 = n11 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3739), (3740) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3741) sum(n11, n13) = all_4_2 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3740) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3742) sum(n11, n22) = all_4_7 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3739) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3743) sum(n20, n13) = all_4_4 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | simplifying with (306), (3741) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3744) all_4_2 = n24 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n22, n11, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | simplifying with (315), (3742) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3745) all_4_7 = n7 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n13, n20, % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | simplifying with (540), (3743) gives: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3746) all_4_4 = n7 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3744) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3747) sum(n24, n16) = all_4_0 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3745), (3746) imply: % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | (3748) sum(n7, n7) = all_4_3 % 188.57/27.07 | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (647), (3747), (3748) are % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #321. % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | (3749) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3749) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3750) all_4_11 = n11 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3750) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3751) pred(n11) = all_4_9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3750) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3752) succ(n11) = all_4_5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (3752) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3753) all_4_5 = n12 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (3751) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3754) all_4_9 = n10 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3753), (3754) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3755) sum(n10, n12) = all_4_2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3754) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3756) sum(n10, n22) = all_4_7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3753) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3757) sum(n20, n12) = all_4_4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (3755) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3758) all_4_2 = n22 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n22, n10, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3756) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3759) all_4_7 = n6 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n12, n20, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (539), (3757) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3760) all_4_4 = n6 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3758) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3761) sum(n22, n16) = all_4_0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3759), (3760) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3762) sum(n6, n6) = all_4_3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (595), (3761), (3762) are % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #273. % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | (3763) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3763) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3764) all_4_11 = n10 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3764) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3765) pred(n10) = all_4_9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3764) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3766) succ(n10) = all_4_5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (3766) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3767) all_4_5 = n11 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (3765) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3768) all_4_9 = n9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3767), (3768) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3769) sum(n9, n11) = all_4_2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3768) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3770) sum(n9, n22) = all_4_7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3767) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3771) sum(n20, n11) = all_4_4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (3769) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3772) all_4_2 = n20 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n22, n9, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (263), (3770) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3773) all_4_7 = n5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n11, n20, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (538), (3771) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3774) all_4_4 = n5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3772) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3775) sum(n20, n16) = all_4_0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3773), (3774) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3776) sum(n5, n5) = all_4_3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (543), (3775), (3776) are % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229. % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | (3777) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3777) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3778) all_4_11 = n9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3778) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3779) pred(n9) = all_4_9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3778) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3780) succ(n9) = all_4_5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (3780) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3781) all_4_5 = n10 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (3779) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3782) all_4_9 = n8 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3781), (3782) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3783) sum(n8, n10) = all_4_2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3782) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3784) sum(n8, n22) = all_4_7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3781) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3785) sum(n20, n10) = all_4_4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (3783) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3786) all_4_2 = n18 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n22, n8, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (3784) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3787) all_4_7 = n4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n10, n20, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (537), (3785) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3788) all_4_4 = n4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3786) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3789) sum(n18, n16) = all_4_0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3787), (3788) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3790) sum(n4, n4) = all_4_3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (491), (3789), (3790) are % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189. % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | (3791) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3791) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_4_11 = n8 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3792) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3793) pred(n8) = all_4_9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3792) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3794) succ(n8) = all_4_5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (3794) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_4_5 = n9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (3793) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_4_9 = n7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3795), (3796) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3797) sum(n7, n9) = all_4_2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3796) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3798) sum(n7, n22) = all_4_7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3795) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3799) sum(n20, n9) = all_4_4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (3797) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_4_2 = n16 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n22, n7, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (211), (3798) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_4_7 = n3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n9, n20, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (536), (3799) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_4_4 = n3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3800) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3803) sum(n16, n16) = all_4_0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3801), (3802) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3804) sum(n3, n3) = all_4_3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (439), (3803), (3804) are % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153. % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3805) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_4_11 = n7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3806) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3807) pred(n7) = all_4_9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3806) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3808) succ(n7) = all_4_5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (3808) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_4_5 = n8 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (3807) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_4_9 = n6 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3809), (3810) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3811) sum(n6, n8) = all_4_2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3810) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3812) sum(n6, n22) = all_4_7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3809) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3813) sum(n20, n8) = all_4_4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (3811) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_4_2 = n14 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n22, n6, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (185), (3812) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_4_7 = n2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n8, n20, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (535), (3813) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_4_4 = n2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3814) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3817) sum(n14, n16) = all_4_0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3815), (3816) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3818) sum(n2, n2) = all_4_3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (387), (3817), (3818) are % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136. % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3819) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3819) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_4_11 = n6 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3820) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) pred(n6) = all_4_9 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3820) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) succ(n6) = all_4_5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (3822) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_4_5 = n7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (3821) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_4_9 = n5 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3823), (3824) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) sum(n5, n7) = all_4_2 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3824) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) sum(n5, n22) = all_4_7 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3823) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) sum(n20, n7) = all_4_4 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (3825) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_4_2 = n12 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n22, n5, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (159), (3826) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_4_7 = n1 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n7, n20, % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (534), (3827) gives: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_4_4 = n1 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3828) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) sum(n12, n16) = all_4_0 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3829), (3830) imply: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) sum(n1, n1) = all_4_3 % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (335), (3831), (3832) are % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3833) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_4_11 = n5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3834) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) pred(n5) = all_4_9 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3834) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) succ(n5) = all_4_5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (3836) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_4_5 = n6 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (3835) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) all_4_9 = n4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3837), (3838) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) sum(n4, n6) = all_4_2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3838) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) sum(n4, n22) = all_4_7 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3837) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) sum(n20, n6) = all_4_4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (3839) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) all_4_2 = n10 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n22, n4, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (133), (3840) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) all_4_7 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n6, n20, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (533), (3841) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_4_4 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3842) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) sum(n10, n16) = all_4_0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3843), (3844) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) sum(n0, n0) = all_4_3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (283), (3845), (3846) are % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134. % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3847) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_4_11 = n4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3848) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) pred(n4) = all_4_9 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3848) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) succ(n4) = all_4_5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (3850) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) all_4_5 = n5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (3849) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_4_9 = n3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3851), (3852) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) sum(n3, n5) = all_4_2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3852) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) sum(n3, n22) = all_4_7 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3851) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) sum(n20, n5) = all_4_4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (3853) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) all_4_2 = n8 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n22, n3, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3854) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) all_4_7 = n25 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n5, n20, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (532), (3855) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_4_4 = n25 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3856) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) sum(n8, n16) = all_4_0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3857), (3858) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) sum(n25, n25) = all_4_3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (231), (682), (3859), (3860) are % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133. % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3861) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_4_11 = n3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3862) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) pred(n3) = all_4_9 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3862) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) succ(n3) = all_4_5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (3864) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_4_5 = n4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (3863) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) all_4_9 = n2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3865), (3866) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) sum(n2, n4) = all_4_2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3866) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) sum(n2, n22) = all_4_7 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3865) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) sum(n20, n4) = all_4_4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (3867) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_4_2 = n6 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n22, n2, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (81), (3868) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_4_7 = n24 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n4, n20, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (531), (3869) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_4_4 = n24 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3870) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) sum(n6, n16) = all_4_0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3871), (3872) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) sum(n24, n24) = all_4_3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (179), (655), (3873), (3874) are % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132. % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3875) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) all_4_11 = n2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3876) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) pred(n2) = all_4_9 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3876) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) succ(n2) = all_4_5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (3878) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_4_5 = n3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (3877) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) all_4_9 = n1 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3879), (3880) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) sum(n1, n3) = all_4_2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3880) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) sum(n1, n22) = all_4_7 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3879) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) sum(n20, n3) = all_4_4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (3881) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) all_4_2 = n4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n22, n1, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (3882) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_4_7 = n23 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n3, n20, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (530), (3883) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_4_4 = n23 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3884) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) sum(n4, n16) = all_4_0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3885), (3886) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) sum(n23, n23) = all_4_3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (127), (628), (3887), (3888) are % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #131. % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) all_4_11 = n1 | all_4_11 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3889) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_4_11 = n1 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3890) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) pred(n1) = all_4_9 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3890) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) succ(n1) = all_4_5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (3892) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_4_5 = n2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (3891) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) all_4_9 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3893), (3894) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) sum(n0, n2) = all_4_2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3894) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) sum(n0, n22) = all_4_7 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3893) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) sum(n20, n2) = all_4_4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3895) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_4_2 = n2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n22, n0, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (3896) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_4_7 = n22 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n2, n20, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (529), (3897) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_4_4 = n22 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3898) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) sum(n2, n16) = all_4_0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3899), (3900) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) sum(n22, n22) = all_4_3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (601), (3901), (3902) are % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130. % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) all_4_11 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (3903) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) pred(n0) = all_4_9 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3903) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) succ(n0) = all_4_5 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (3905) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) all_4_5 = n1 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (3904) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_4_9 = n25 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3906), (3907) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) sum(n25, n1) = all_4_2 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3637), (3907) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) sum(n25, n22) = all_4_7 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3906) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) sum(n20, n1) = all_4_4 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n1, n20, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (528), (3910) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) all_4_4 = n21 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (3908) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) all_4_2 = n0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n22, n25, % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (679), (3909) gives: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_4_7 = n21 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3639), (3912) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) sum(n0, n16) = all_4_0 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3911), (3913) imply: % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) sum(n21, n21) = all_4_3 % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (23), (574), (3914), (3915) are % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129. % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | End of split % 188.57/27.09 | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | Case 2: % 188.57/27.09 | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | (3916) all_4_10 = n20 | all_4_10 = n19 | all_4_10 = n18 | % 188.57/27.09 | | | | | | | | | | | all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 188.57/27.09 | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 188.57/27.09 | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 188.57/27.09 | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 188.57/27.09 | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 188.57/27.09 | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.09 | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | BETA: splitting (3629) gives: % 188.57/27.09 | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | Case 1: % 188.57/27.09 | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | (3917) all_4_11 = n20 % 188.57/27.09 | | | | | | | | | | | | % 188.57/27.09 | | | | | | | | | | | | REDUCE: (743), (3917) imply: % 188.57/27.09 | | | | | | | | | | | | (3918) pred(n20) = all_4_9 % 188.57/27.09 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | REDUCE: (715), (3917) imply: % 188.57/27.10 | | | | | | | | | | | | (3919) succ(n20) = all_4_5 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_5, n20, % 188.57/27.10 | | | | | | | | | | | | simplifying with (709), (3919) gives: % 188.57/27.10 | | | | | | | | | | | | (3920) all_4_5 = n21 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_9, n20, % 188.57/27.10 | | | | | | | | | | | | simplifying with (737), (3918) gives: % 188.57/27.10 | | | | | | | | | | | | (3921) all_4_9 = n19 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | REDUCE: (687), (3920) imply: % 188.57/27.10 | | | | | | | | | | | | (3922) sum(all_4_6, n21) = all_4_4 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | REDUCE: (684), (3920), (3921) imply: % 188.57/27.10 | | | | | | | | | | | | (3923) sum(n19, n21) = all_4_2 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | REDUCE: (683), (3921) imply: % 188.57/27.10 | | | | | | | | | | | | (3924) sum(n19, all_4_8) = all_4_7 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n21, n19, % 188.57/27.10 | | | | | | | | | | | | simplifying with (522), (3923) gives: % 188.57/27.10 | | | | | | | | | | | | (3925) all_4_2 = n14 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | REDUCE: (688), (3925) imply: % 188.57/27.10 | | | | | | | | | | | | (3926) sum(n14, all_4_1) = all_4_0 % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | BETA: splitting (3916) gives: % 188.57/27.10 | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | Case 1: % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | (3927) all_4_10 = n20 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | REDUCE: (744), (3927) imply: % 188.57/27.10 | | | | | | | | | | | | | (3928) pred(n20) = all_4_6 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | REDUCE: (716), (3927) imply: % 188.57/27.10 | | | | | | | | | | | | | (3929) succ(n20) = all_4_8 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_8, n20, % 188.57/27.10 | | | | | | | | | | | | | simplifying with (709), (3929) gives: % 188.57/27.10 | | | | | | | | | | | | | (3930) all_4_8 = n21 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_6, n20, % 188.57/27.10 | | | | | | | | | | | | | simplifying with (737), (3928) gives: % 188.57/27.10 | | | | | | | | | | | | | (3931) all_4_6 = n19 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | REDUCE: (686), (3930), (3931) imply: % 188.57/27.10 | | | | | | | | | | | | | (3932) sum(n19, n21) = all_4_1 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | REDUCE: (3922), (3931) imply: % 188.57/27.10 | | | | | | | | | | | | | (3933) sum(n19, n21) = all_4_4 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | REDUCE: (3924), (3930) imply: % 188.57/27.10 | | | | | | | | | | | | | (3934) sum(n19, n21) = all_4_7 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n21, n19, % 188.57/27.10 | | | | | | | | | | | | | simplifying with (522), (3933) gives: % 188.57/27.10 | | | | | | | | | | | | | (3935) all_4_4 = n14 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n21, n19, % 188.57/27.10 | | | | | | | | | | | | | simplifying with (3932), (3933) gives: % 188.57/27.10 | | | | | | | | | | | | | (3936) all_4_1 = all_4_4 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n21, n19, % 188.57/27.10 | | | | | | | | | | | | | simplifying with (3932), (3934) gives: % 188.57/27.10 | | | | | | | | | | | | | (3937) all_4_1 = all_4_7 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (685), (3926), (3935), (3936), % 188.57/27.10 | | | | | | | | | | | | | (3937) are inconsistent by sub-proof #128. % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | Case 2: % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | (3938) all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 188.57/27.10 | | | | | | | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 188.57/27.10 | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 188.57/27.10 | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 188.57/27.10 | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 188.57/27.10 | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 188.57/27.10 | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | BETA: splitting (3938) gives: % 188.57/27.10 | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | Case 1: % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | (3939) all_4_10 = n19 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | REDUCE: (744), (3939) imply: % 188.57/27.10 | | | | | | | | | | | | | | (3940) pred(n19) = all_4_6 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | REDUCE: (716), (3939) imply: % 188.57/27.10 | | | | | | | | | | | | | | (3941) succ(n19) = all_4_8 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 188.57/27.10 | | | | | | | | | | | | | | simplifying with (708), (3941) gives: % 188.57/27.10 | | | | | | | | | | | | | | (3942) all_4_8 = n20 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 188.57/27.10 | | | | | | | | | | | | | | simplifying with (736), (3940) gives: % 188.57/27.10 | | | | | | | | | | | | | | (3943) all_4_6 = n18 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | REDUCE: (686), (3942), (3943) imply: % 188.57/27.10 | | | | | | | | | | | | | | (3944) sum(n18, n20) = all_4_1 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | REDUCE: (3922), (3943) imply: % 188.57/27.10 | | | | | | | | | | | | | | (3945) sum(n18, n21) = all_4_4 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | REDUCE: (3924), (3942) imply: % 188.57/27.10 | | | | | | | | | | | | | | (3946) sum(n19, n20) = all_4_7 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n20, n18, % 188.57/27.10 | | | | | | | | | | | | | | simplifying with (495), (3944) gives: % 188.57/27.10 | | | | | | | | | | | | | | (3947) all_4_1 = n12 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n21, n18, % 188.57/27.10 | | | | | | | | | | | | | | simplifying with (496), (3945) gives: % 188.57/27.10 | | | | | | | | | | | | | | (3948) all_4_4 = n13 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n20, n19, % 188.57/27.10 | | | | | | | | | | | | | | simplifying with (521), (3946) gives: % 188.57/27.10 | | | | | | | | | | | | | | (3949) all_4_7 = n13 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (383), (685), (3926), (3947), % 188.57/27.10 | | | | | | | | | | | | | | (3948), (3949) are inconsistent by sub-proof #127. % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | Case 2: % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | (3950) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 188.57/27.10 | | | | | | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 188.57/27.10 | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 188.57/27.10 | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 188.57/27.10 | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 188.57/27.10 | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 188.57/27.10 | | | | | | | | | | | | | | all_4_10 = n0 % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | BETA: splitting (3950) gives: % 188.57/27.10 | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | Case 1: % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | (3951) all_4_10 = n18 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | REDUCE: (744), (3951) imply: % 188.57/27.10 | | | | | | | | | | | | | | | (3952) pred(n18) = all_4_6 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | REDUCE: (716), (3951) imply: % 188.57/27.10 | | | | | | | | | | | | | | | (3953) succ(n18) = all_4_8 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 188.57/27.10 | | | | | | | | | | | | | | | simplifying with (707), (3953) gives: % 188.57/27.10 | | | | | | | | | | | | | | | (3954) all_4_8 = n19 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 188.57/27.10 | | | | | | | | | | | | | | | simplifying with (735), (3952) gives: % 188.57/27.10 | | | | | | | | | | | | | | | (3955) all_4_6 = n17 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | REDUCE: (686), (3954), (3955) imply: % 188.57/27.10 | | | | | | | | | | | | | | | (3956) sum(n17, n19) = all_4_1 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | REDUCE: (3922), (3955) imply: % 188.57/27.10 | | | | | | | | | | | | | | | (3957) sum(n17, n21) = all_4_4 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | REDUCE: (3924), (3954) imply: % 188.57/27.10 | | | | | | | | | | | | | | | (3958) sum(n19, n19) = all_4_7 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 188.57/27.10 | | | | | | | | | | | | | | | simplifying with (468), (3956) gives: % 188.57/27.10 | | | | | | | | | | | | | | | (3959) all_4_1 = n10 % 188.57/27.10 | | | | | | | | | | | | | | | % 188.57/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n21, n17, % 188.57/27.10 | | | | | | | | | | | | | | | simplifying with (470), (3957) gives: % 188.57/27.10 | | | | | | | | | | | | | | | (3960) all_4_4 = n12 % 188.57/27.10 | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n19, n19, % 189.19/27.10 | | | | | | | | | | | | | | | simplifying with (520), (3958) gives: % 189.19/27.10 | | | | | | | | | | | | | | | (3961) all_4_7 = n12 % 189.19/27.10 | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (381), (685), (3926), (3959), % 189.19/27.10 | | | | | | | | | | | | | | | (3960), (3961) are inconsistent by sub-proof #126. % 189.19/27.10 | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | Case 2: % 189.19/27.10 | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | (3962) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 189.19/27.10 | | | | | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.19/27.10 | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.19/27.10 | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.19/27.10 | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.19/27.10 | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.10 | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | BETA: splitting (3962) gives: % 189.19/27.10 | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | Case 1: % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | (3963) all_4_10 = n17 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | REDUCE: (744), (3963) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | (3964) pred(n17) = all_4_6 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | REDUCE: (716), (3963) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | (3965) succ(n17) = all_4_8 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 189.19/27.10 | | | | | | | | | | | | | | | | simplifying with (706), (3965) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | (3966) all_4_8 = n18 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 189.19/27.10 | | | | | | | | | | | | | | | | simplifying with (734), (3964) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | (3967) all_4_6 = n16 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | REDUCE: (686), (3966), (3967) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | (3968) sum(n16, n18) = all_4_1 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | REDUCE: (3922), (3967) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | (3969) sum(n16, n21) = all_4_4 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | REDUCE: (3924), (3966) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | (3970) sum(n19, n18) = all_4_7 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 189.19/27.10 | | | | | | | | | | | | | | | | simplifying with (441), (3968) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | (3971) all_4_1 = n8 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n21, n16, % 189.19/27.10 | | | | | | | | | | | | | | | | simplifying with (444), (3969) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | (3972) all_4_4 = n11 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n18, n19, % 189.19/27.10 | | | | | | | | | | | | | | | | simplifying with (519), (3970) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | (3973) all_4_7 = n11 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (379), (685), (3926), (3971), % 189.19/27.10 | | | | | | | | | | | | | | | | (3972), (3973) are inconsistent by sub-proof #125. % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | Case 2: % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | (3974) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 189.19/27.10 | | | | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.19/27.10 | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.19/27.10 | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.19/27.10 | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.19/27.10 | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | BETA: splitting (3974) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | Case 1: % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | (3975) all_4_10 = n16 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | REDUCE: (744), (3975) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3976) pred(n16) = all_4_6 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | REDUCE: (716), (3975) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3977) succ(n16) = all_4_8 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 189.19/27.10 | | | | | | | | | | | | | | | | | simplifying with (705), (3977) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3978) all_4_8 = n17 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 189.19/27.10 | | | | | | | | | | | | | | | | | simplifying with (733), (3976) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3979) all_4_6 = n15 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | REDUCE: (686), (3978), (3979) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3980) sum(n15, n17) = all_4_1 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | REDUCE: (3922), (3979) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3981) sum(n15, n21) = all_4_4 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | REDUCE: (3924), (3978) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3982) sum(n19, n17) = all_4_7 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 189.19/27.10 | | | | | | | | | | | | | | | | | simplifying with (414), (3980) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3983) all_4_1 = n6 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n21, n15, % 189.19/27.10 | | | | | | | | | | | | | | | | | simplifying with (418), (3981) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3984) all_4_4 = n10 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n17, n19, % 189.19/27.10 | | | | | | | | | | | | | | | | | simplifying with (518), (3982) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | (3985) all_4_7 = n10 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (377), (685), (3926), (3983), % 189.19/27.10 | | | | | | | | | | | | | | | | | (3984), (3985) are inconsistent by sub-proof #124. % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | Case 2: % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | (3986) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.19/27.10 | | | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.19/27.10 | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.19/27.10 | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.19/27.10 | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.19/27.10 | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | BETA: splitting (3986) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.10 | | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | | (3987) all_4_10 = n15 % 189.19/27.10 | | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | | REDUCE: (744), (3987) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | | (3988) pred(n15) = all_4_6 % 189.19/27.10 | | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | | REDUCE: (716), (3987) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | | (3989) succ(n15) = all_4_8 % 189.19/27.10 | | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 189.19/27.10 | | | | | | | | | | | | | | | | | | simplifying with (704), (3989) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | | (3990) all_4_8 = n16 % 189.19/27.10 | | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 189.19/27.10 | | | | | | | | | | | | | | | | | | simplifying with (732), (3988) gives: % 189.19/27.10 | | | | | | | | | | | | | | | | | | (3991) all_4_6 = n14 % 189.19/27.10 | | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | | REDUCE: (686), (3990), (3991) imply: % 189.19/27.10 | | | | | | | | | | | | | | | | | | (3992) sum(n14, n16) = all_4_1 % 189.19/27.10 | | | | | | | | | | | | | | | | | | % 189.19/27.10 | | | | | | | | | | | | | | | | | | REDUCE: (3922), (3991) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | (3993) sum(n14, n21) = all_4_4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (3924), (3990) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | (3994) sum(n19, n16) = all_4_7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 189.19/27.11 | | | | | | | | | | | | | | | | | | simplifying with (387), (3992) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | (3995) all_4_1 = n4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n21, n14, % 189.19/27.11 | | | | | | | | | | | | | | | | | | simplifying with (392), (3993) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | (3996) all_4_4 = n9 % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n16, n19, % 189.19/27.11 | | | | | | | | | | | | | | | | | | simplifying with (517), (3994) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | (3997) all_4_7 = n9 % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (375), (685), (3926), (3995), % 189.19/27.11 | | | | | | | | | | | | | | | | | | (3996), (3997) are inconsistent by sub-proof #123. % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | (3998) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | BETA: splitting (3998) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (3999) all_4_10 = n14 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3999) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4000) pred(n14) = all_4_6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (3999) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4001) succ(n14) = all_4_8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | simplifying with (703), (4001) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4002) all_4_8 = n15 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | simplifying with (731), (4000) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4003) all_4_6 = n13 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4002), (4003) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4004) sum(n13, n15) = all_4_1 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4003) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4005) sum(n13, n21) = all_4_4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4002) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4006) sum(n19, n15) = all_4_7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | simplifying with (360), (4004) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4007) all_4_1 = n2 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n21, n13, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | simplifying with (366), (4005) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4008) all_4_4 = n8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n15, n19, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | simplifying with (516), (4006) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4009) all_4_7 = n8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (373), (685), (3926), (4007), % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4008), (4009) are inconsistent by sub-proof #122. % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | (4010) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (4010) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4011) all_4_10 = n13 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4011) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4012) pred(n13) = all_4_6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4011) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4013) succ(n13) = all_4_8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | simplifying with (702), (4013) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4014) all_4_8 = n14 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | simplifying with (730), (4012) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4015) all_4_6 = n12 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4014), (4015) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4016) sum(n12, n14) = all_4_1 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4015) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4017) sum(n12, n21) = all_4_4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4014) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4018) sum(n19, n14) = all_4_7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | simplifying with (333), (4016) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4019) all_4_1 = n0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n21, n12, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | simplifying with (340), (4017) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4020) all_4_4 = n7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n14, n19, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | simplifying with (515), (4018) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4021) all_4_7 = n7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (371), (685), (3926), (4019), % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4020), (4021) are inconsistent by sub-proof #121. % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | (4022) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4022) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4023) all_4_10 = n12 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4023) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4024) pred(n12) = all_4_6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4023) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4025) succ(n12) = all_4_8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (4025) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4026) all_4_8 = n13 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (4024) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4027) all_4_6 = n11 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4026), (4027) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4028) sum(n11, n13) = all_4_1 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4027) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4029) sum(n11, n21) = all_4_4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4026) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4030) sum(n19, n13) = all_4_7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (4028) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4031) all_4_1 = n24 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n21, n11, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | simplifying with (314), (4029) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4032) all_4_4 = n6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n13, n19, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | simplifying with (514), (4030) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4033) all_4_7 = n6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4032), (4033) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4034) sum(n6, n6) = all_4_3 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4031) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4035) sum(n14, n24) = all_4_0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (395), (4034), (4035) are % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #296. % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | (4036) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4037) all_4_10 = n11 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4037) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4038) pred(n11) = all_4_6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4037) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4039) succ(n11) = all_4_8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (4039) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4040) all_4_8 = n12 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (4038) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4041) all_4_6 = n10 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4040), (4041) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4042) sum(n10, n12) = all_4_1 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4041) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4043) sum(n10, n21) = all_4_4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4040) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4044) sum(n19, n12) = all_4_7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (4042) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4045) all_4_1 = n22 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n21, n10, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (4043) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4046) all_4_4 = n5 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n12, n19, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (513), (4044) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4047) all_4_7 = n5 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4046), (4047) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4048) sum(n5, n5) = all_4_3 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4045) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4049) sum(n14, n22) = all_4_0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (393), (4048), (4049) are % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #250. % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | (4050) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4050) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4051) all_4_10 = n10 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4051) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4052) pred(n10) = all_4_6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4051) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4053) succ(n10) = all_4_8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (4053) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4054) all_4_8 = n11 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (4052) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4055) all_4_6 = n9 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4054), (4055) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4056) sum(n9, n11) = all_4_1 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4055) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4057) sum(n9, n21) = all_4_4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4054) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4058) sum(n19, n11) = all_4_7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (4056) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4059) all_4_1 = n20 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n21, n9, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (262), (4057) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4060) all_4_4 = n4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n11, n19, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (512), (4058) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4061) all_4_7 = n4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4060), (4061) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4062) sum(n4, n4) = all_4_3 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4059) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4063) sum(n14, n20) = all_4_0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (391), (4062), (4063) are % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208. % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | (4064) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4064) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_4_10 = n9 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4065) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4066) pred(n9) = all_4_6 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4065) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4067) succ(n9) = all_4_8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (4067) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4068) all_4_8 = n10 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (4066) gives: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4069) all_4_6 = n8 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4068), (4069) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4070) sum(n8, n10) = all_4_1 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4069) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4071) sum(n8, n21) = all_4_4 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4068) imply: % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (4072) sum(n19, n10) = all_4_7 % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 189.19/27.11 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (4070) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_4_1 = n18 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n21, n8, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (4071) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_4_4 = n3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n10, n19, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (511), (4072) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_4_7 = n3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4074), (4075) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | (4076) sum(n3, n3) = all_4_3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4073) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | (4077) sum(n14, n18) = all_4_0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (389), (4076), (4077) are % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #170. % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | (4078) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4078) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4079) all_4_10 = n8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4079) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4080) pred(n8) = all_4_6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4079) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4081) succ(n8) = all_4_8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (4081) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4082) all_4_8 = n9 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (4080) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4083) all_4_6 = n7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4082), (4083) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4084) sum(n7, n9) = all_4_1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4083) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4085) sum(n7, n21) = all_4_4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4082) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4086) sum(n19, n9) = all_4_7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (4084) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_4_1 = n16 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n21, n7, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (210), (4085) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4088) all_4_4 = n2 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n9, n19, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (510), (4086) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4089) all_4_7 = n2 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4088), (4089) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4090) sum(n2, n2) = all_4_3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4087) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4091) sum(n14, n16) = all_4_0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (387), (4090), (4091) are % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136. % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4092) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4092) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_4_10 = n7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4093) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) pred(n7) = all_4_6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4093) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) succ(n7) = all_4_8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (4095) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_4_8 = n8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (4094) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_4_6 = n6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4096), (4097) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) sum(n6, n8) = all_4_1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4097) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) sum(n6, n21) = all_4_4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4096) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) sum(n19, n8) = all_4_7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (4098) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_4_1 = n14 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n21, n6, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (184), (4099) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) all_4_4 = n1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n8, n19, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (509), (4100) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_4_7 = n1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4102), (4103) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) sum(n1, n1) = all_4_3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4101) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) sum(n14, n14) = all_4_0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (385), (4104), (4105) are % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4106) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_4_10 = n6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4107) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) pred(n6) = all_4_6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4107) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) succ(n6) = all_4_8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (4109) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) all_4_8 = n7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (4108) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_4_6 = n5 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4110), (4111) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) sum(n5, n7) = all_4_1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4111) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) sum(n5, n21) = all_4_4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4110) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) sum(n19, n7) = all_4_7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (4112) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) all_4_1 = n12 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n21, n5, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (158), (4113) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_4_4 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n7, n19, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (508), (4114) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_4_7 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4116), (4117) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) sum(n0, n0) = all_4_3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4115) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) sum(n14, n12) = all_4_0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (383), (4118), (4119) are % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #119. % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4120) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) all_4_10 = n5 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4121) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) pred(n5) = all_4_6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4121) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) succ(n5) = all_4_8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (4123) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_4_8 = n6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (4122) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_4_6 = n4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4124), (4125) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) sum(n4, n6) = all_4_1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4125) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) sum(n4, n21) = all_4_4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4124) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) sum(n19, n6) = all_4_7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (4126) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) all_4_1 = n10 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n21, n4, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (132), (4127) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_4_4 = n25 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n6, n19, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (507), (4128) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_4_7 = n25 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4130), (4131) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) sum(n25, n25) = all_4_3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4129) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) sum(n14, n10) = all_4_0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (381), (682), (4132), (4133) are % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #118. % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_4_10 = n4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4135) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) pred(n4) = all_4_6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4135) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) succ(n4) = all_4_8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (4137) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) all_4_8 = n5 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (4136) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_4_6 = n3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4138), (4139) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) sum(n3, n5) = all_4_1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4139) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) sum(n3, n21) = all_4_4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4138) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) sum(n19, n5) = all_4_7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (4140) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) all_4_1 = n8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n21, n3, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (4141) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_4_4 = n24 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n5, n19, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (506), (4142) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_4_7 = n24 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4144), (4145) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) sum(n24, n24) = all_4_3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4143) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) sum(n14, n8) = all_4_0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (379), (655), (4146), (4147) are % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #117. % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4148) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_4_10 = n3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4149) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) pred(n3) = all_4_6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4149) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) succ(n3) = all_4_8 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (4151) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) all_4_8 = n4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (4150) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) all_4_6 = n2 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4152), (4153) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) sum(n2, n4) = all_4_1 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4153) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) sum(n2, n21) = all_4_4 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4152) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) sum(n19, n4) = all_4_7 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (4154) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_4_1 = n6 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n21, n2, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (4155) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) all_4_4 = n23 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n4, n19, % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (505), (4156) gives: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_4_7 = n23 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4158), (4159) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) sum(n23, n23) = all_4_3 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4157) imply: % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) sum(n14, n6) = all_4_0 % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (377), (628), (4160), (4161) are % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116. % 189.19/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4162) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) all_4_10 = n2 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4163) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) pred(n2) = all_4_6 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4163) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) succ(n2) = all_4_8 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (4165) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) all_4_8 = n3 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (4164) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_4_6 = n1 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4166), (4167) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) sum(n1, n3) = all_4_1 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4167) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) sum(n1, n21) = all_4_4 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4166) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) sum(n19, n3) = all_4_7 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (4168) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_4_1 = n4 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n21, n1, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (4169) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) all_4_4 = n22 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n3, n19, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (504), (4170) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_4_7 = n22 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4172), (4173) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) sum(n22, n22) = all_4_3 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4171) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) sum(n14, n4) = all_4_0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (375), (601), (4174), (4175) are % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115. % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) all_4_10 = n1 | all_4_10 = n0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4176) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_4_10 = n1 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4177) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) pred(n1) = all_4_6 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4177) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) succ(n1) = all_4_8 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (4179) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_4_8 = n2 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (4178) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_4_6 = n0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4180), (4181) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) sum(n0, n2) = all_4_1 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4181) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) sum(n0, n21) = all_4_4 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4180) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) sum(n19, n2) = all_4_7 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (4182) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_4_1 = n2 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n21, n0, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (4183) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_4_4 = n21 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n2, n19, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (503), (4184) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) all_4_7 = n21 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4186), (4187) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) sum(n21, n21) = all_4_3 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4185) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) sum(n14, n2) = all_4_0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (373), (574), (4188), (4189) are % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #114. % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_4_10 = n0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4190) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) pred(n0) = all_4_6 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4190) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) succ(n0) = all_4_8 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (4192) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_4_8 = n1 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (4191) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) all_4_6 = n25 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4193), (4194) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) sum(n25, n1) = all_4_1 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3922), (4194) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) sum(n25, n21) = all_4_4 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (4193) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) sum(n19, n1) = all_4_7 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n1, n19, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (502), (4197) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_4_7 = n20 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (4195) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_4_1 = n0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n21, n25, % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (678), (4196) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) all_4_4 = n20 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4198), (4200) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) sum(n20, n20) = all_4_3 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3926), (4199) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) sum(n14, n0) = all_4_0 % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (371), (547), (4201), (4202) are % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #113. % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | End of split % 189.19/27.13 | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | Case 2: % 189.19/27.13 | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | (4203) all_4_11 = n19 | all_4_11 = n18 | all_4_11 = n17 | % 189.19/27.13 | | | | | | | | | | | | all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 189.19/27.13 | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.19/27.13 | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.19/27.13 | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.19/27.13 | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.19/27.13 | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.13 | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | BETA: splitting (3916) gives: % 189.19/27.13 | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | Case 1: % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | (4204) all_4_10 = n20 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | REDUCE: (744), (4204) imply: % 189.19/27.13 | | | | | | | | | | | | | (4205) pred(n20) = all_4_6 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | REDUCE: (716), (4204) imply: % 189.19/27.13 | | | | | | | | | | | | | (4206) succ(n20) = all_4_8 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n21, all_4_8, n20, % 189.19/27.13 | | | | | | | | | | | | | simplifying with (709), (4206) gives: % 189.19/27.13 | | | | | | | | | | | | | (4207) all_4_8 = n21 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n19, all_4_6, n20, % 189.19/27.13 | | | | | | | | | | | | | simplifying with (737), (4205) gives: % 189.19/27.13 | | | | | | | | | | | | | (4208) all_4_6 = n19 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | REDUCE: (687), (4208) imply: % 189.19/27.13 | | | | | | | | | | | | | (4209) sum(n19, all_4_5) = all_4_4 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | REDUCE: (686), (4207), (4208) imply: % 189.19/27.13 | | | | | | | | | | | | | (4210) sum(n19, n21) = all_4_1 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | REDUCE: (683), (4207) imply: % 189.19/27.13 | | | | | | | | | | | | | (4211) sum(all_4_9, n21) = all_4_7 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n21, n19, % 189.19/27.13 | | | | | | | | | | | | | simplifying with (522), (4210) gives: % 189.19/27.13 | | | | | | | | | | | | | (4212) all_4_1 = n14 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | REDUCE: (688), (4212) imply: % 189.19/27.13 | | | | | | | | | | | | | (4213) sum(all_4_2, n14) = all_4_0 % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | BETA: splitting (4203) gives: % 189.19/27.13 | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | Case 1: % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | (4214) all_4_11 = n19 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | REDUCE: (743), (4214) imply: % 189.19/27.13 | | | | | | | | | | | | | | (4215) pred(n19) = all_4_9 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | REDUCE: (715), (4214) imply: % 189.19/27.13 | | | | | | | | | | | | | | (4216) succ(n19) = all_4_5 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_5, n19, % 189.19/27.13 | | | | | | | | | | | | | | simplifying with (708), (4216) gives: % 189.19/27.13 | | | | | | | | | | | | | | (4217) all_4_5 = n20 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_9, n19, % 189.19/27.13 | | | | | | | | | | | | | | simplifying with (736), (4215) gives: % 189.19/27.13 | | | | | | | | | | | | | | (4218) all_4_9 = n18 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | REDUCE: (684), (4217), (4218) imply: % 189.19/27.13 | | | | | | | | | | | | | | (4219) sum(n18, n20) = all_4_2 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | REDUCE: (4211), (4218) imply: % 189.19/27.13 | | | | | | | | | | | | | | (4220) sum(n18, n21) = all_4_7 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | REDUCE: (4209), (4217) imply: % 189.19/27.13 | | | | | | | | | | | | | | (4221) sum(n19, n20) = all_4_4 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n20, n18, % 189.19/27.13 | | | | | | | | | | | | | | simplifying with (495), (4219) gives: % 189.19/27.13 | | | | | | | | | | | | | | (4222) all_4_2 = n12 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n21, n18, % 189.19/27.13 | | | | | | | | | | | | | | simplifying with (496), (4220) gives: % 189.19/27.13 | | | | | | | | | | | | | | (4223) all_4_7 = n13 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n20, n19, % 189.19/27.13 | | | | | | | | | | | | | | simplifying with (521), (4221) gives: % 189.19/27.13 | | | | | | | | | | | | | | (4224) all_4_4 = n13 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (333), (358), (685), (4213), (4222), % 189.19/27.13 | | | | | | | | | | | | | | (4223), (4224) are inconsistent by sub-proof #112. % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | Case 2: % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | (4225) all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 189.19/27.13 | | | | | | | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 189.19/27.13 | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.19/27.13 | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.19/27.13 | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.19/27.13 | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.19/27.13 | | | | | | | | | | | | | | all_4_11 = n0 % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | BETA: splitting (4225) gives: % 189.19/27.13 | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | Case 1: % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | (4226) all_4_11 = n18 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | REDUCE: (743), (4226) imply: % 189.19/27.13 | | | | | | | | | | | | | | | (4227) pred(n18) = all_4_9 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | REDUCE: (715), (4226) imply: % 189.19/27.13 | | | | | | | | | | | | | | | (4228) succ(n18) = all_4_5 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 189.19/27.13 | | | | | | | | | | | | | | | simplifying with (707), (4228) gives: % 189.19/27.13 | | | | | | | | | | | | | | | (4229) all_4_5 = n19 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 189.19/27.13 | | | | | | | | | | | | | | | simplifying with (735), (4227) gives: % 189.19/27.13 | | | | | | | | | | | | | | | (4230) all_4_9 = n17 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | REDUCE: (684), (4229), (4230) imply: % 189.19/27.13 | | | | | | | | | | | | | | | (4231) sum(n17, n19) = all_4_2 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | REDUCE: (4211), (4230) imply: % 189.19/27.13 | | | | | | | | | | | | | | | (4232) sum(n17, n21) = all_4_7 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | REDUCE: (4209), (4229) imply: % 189.19/27.13 | | | | | | | | | | | | | | | (4233) sum(n19, n19) = all_4_4 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 189.19/27.13 | | | | | | | | | | | | | | | simplifying with (468), (4231) gives: % 189.19/27.13 | | | | | | | | | | | | | | | (4234) all_4_2 = n10 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n21, n17, % 189.19/27.13 | | | | | | | | | | | | | | | simplifying with (470), (4232) gives: % 189.19/27.13 | | | | | | | | | | | | | | | (4235) all_4_7 = n12 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n19, n19, % 189.19/27.13 | | | | | | | | | | | | | | | simplifying with (520), (4233) gives: % 189.19/27.13 | | | | | | | | | | | | | | | (4236) all_4_4 = n12 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (281), (331), (685), (4213), (4234), % 189.19/27.13 | | | | | | | | | | | | | | | (4235), (4236) are inconsistent by sub-proof #111. % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | Case 2: % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | (4237) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 189.19/27.13 | | | | | | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.19/27.13 | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.19/27.13 | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.19/27.13 | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.19/27.13 | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | BETA: splitting (4237) gives: % 189.19/27.13 | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | Case 1: % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | (4238) all_4_11 = n17 % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | REDUCE: (743), (4238) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | (4239) pred(n17) = all_4_9 % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | REDUCE: (715), (4238) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | (4240) succ(n17) = all_4_5 % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 189.19/27.13 | | | | | | | | | | | | | | | | simplifying with (706), (4240) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | (4241) all_4_5 = n18 % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 189.19/27.13 | | | | | | | | | | | | | | | | simplifying with (734), (4239) gives: % 189.19/27.13 | | | | | | | | | | | | | | | | (4242) all_4_9 = n16 % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | REDUCE: (684), (4241), (4242) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | (4243) sum(n16, n18) = all_4_2 % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | REDUCE: (4211), (4242) imply: % 189.19/27.13 | | | | | | | | | | | | | | | | (4244) sum(n16, n21) = all_4_7 % 189.19/27.13 | | | | | | | | | | | | | | | | % 189.19/27.13 | | | | | | | | | | | | | | | | REDUCE: (4209), (4241) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | (4245) sum(n19, n18) = all_4_4 % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 189.19/27.14 | | | | | | | | | | | | | | | | simplifying with (441), (4243) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | (4246) all_4_2 = n8 % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n21, n16, % 189.19/27.14 | | | | | | | | | | | | | | | | simplifying with (444), (4244) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | (4247) all_4_7 = n11 % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n18, n19, % 189.19/27.14 | | | | | | | | | | | | | | | | simplifying with (519), (4245) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | (4248) all_4_4 = n11 % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (229), (304), (685), (4213), (4246), % 189.19/27.14 | | | | | | | | | | | | | | | | (4247), (4248) are inconsistent by sub-proof #110. % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | Case 2: % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | (4249) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 189.19/27.14 | | | | | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.19/27.14 | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.19/27.14 | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.19/27.14 | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.19/27.14 | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | BETA: splitting (4249) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | Case 1: % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | (4250) all_4_11 = n16 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | REDUCE: (743), (4250) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4251) pred(n16) = all_4_9 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | REDUCE: (715), (4250) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4252) succ(n16) = all_4_5 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 189.19/27.14 | | | | | | | | | | | | | | | | | simplifying with (705), (4252) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4253) all_4_5 = n17 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 189.19/27.14 | | | | | | | | | | | | | | | | | simplifying with (733), (4251) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4254) all_4_9 = n15 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | REDUCE: (684), (4253), (4254) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4255) sum(n15, n17) = all_4_2 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | REDUCE: (4211), (4254) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4256) sum(n15, n21) = all_4_7 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | REDUCE: (4209), (4253) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4257) sum(n19, n17) = all_4_4 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 189.19/27.14 | | | | | | | | | | | | | | | | | simplifying with (414), (4255) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4258) all_4_2 = n6 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n21, n15, % 189.19/27.14 | | | | | | | | | | | | | | | | | simplifying with (418), (4256) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4259) all_4_7 = n10 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n17, n19, % 189.19/27.14 | | | | | | | | | | | | | | | | | simplifying with (518), (4257) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | (4260) all_4_4 = n10 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (177), (277), (685), (4213), (4258), % 189.19/27.14 | | | | | | | | | | | | | | | | | (4259), (4260) are inconsistent by sub-proof #109. % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | Case 2: % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | (4261) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 189.19/27.14 | | | | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.19/27.14 | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.19/27.14 | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.19/27.14 | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.19/27.14 | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | BETA: splitting (4261) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4262) all_4_11 = n15 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (743), (4262) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4263) pred(n15) = all_4_9 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (715), (4262) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4264) succ(n15) = all_4_5 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 189.19/27.14 | | | | | | | | | | | | | | | | | | simplifying with (704), (4264) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4265) all_4_5 = n16 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 189.19/27.14 | | | | | | | | | | | | | | | | | | simplifying with (732), (4263) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4266) all_4_9 = n14 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (684), (4265), (4266) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4267) sum(n14, n16) = all_4_2 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4266) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4268) sum(n14, n21) = all_4_7 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4265) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4269) sum(n19, n16) = all_4_4 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 189.19/27.14 | | | | | | | | | | | | | | | | | | simplifying with (387), (4267) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4270) all_4_2 = n4 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n21, n14, % 189.19/27.14 | | | | | | | | | | | | | | | | | | simplifying with (392), (4268) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4271) all_4_7 = n9 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n16, n19, % 189.19/27.14 | | | | | | | | | | | | | | | | | | simplifying with (517), (4269) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4272) all_4_4 = n9 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (125), (250), (685), (4213), (4270), % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4271), (4272) are inconsistent by sub-proof #108. % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | (4273) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | BETA: splitting (4273) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4274) all_4_11 = n14 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4274) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4275) pred(n14) = all_4_9 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4274) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4276) succ(n14) = all_4_5 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | simplifying with (703), (4276) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4277) all_4_5 = n15 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | simplifying with (731), (4275) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4278) all_4_9 = n13 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4277), (4278) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4279) sum(n13, n15) = all_4_2 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4278) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4280) sum(n13, n21) = all_4_7 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4277) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4281) sum(n19, n15) = all_4_4 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | simplifying with (360), (4279) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4282) all_4_2 = n2 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n21, n13, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | simplifying with (366), (4280) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4283) all_4_7 = n8 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n15, n19, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | simplifying with (516), (4281) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4284) all_4_4 = n8 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (73), (223), (685), (4213), (4282), % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4283), (4284) are inconsistent by sub-proof #107. % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | (4285) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (4285) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4286) all_4_11 = n13 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4286) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4287) pred(n13) = all_4_9 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4286) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4288) succ(n13) = all_4_5 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | simplifying with (702), (4288) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4289) all_4_5 = n14 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | simplifying with (730), (4287) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4290) all_4_9 = n12 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4289), (4290) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4291) sum(n12, n14) = all_4_2 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4290) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4292) sum(n12, n21) = all_4_7 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4289) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4293) sum(n19, n14) = all_4_4 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | simplifying with (333), (4291) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4294) all_4_2 = n0 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n21, n12, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | simplifying with (340), (4292) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4295) all_4_7 = n7 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n14, n19, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | simplifying with (515), (4293) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4296) all_4_4 = n7 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21), (196), (685), (4213), (4294), % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4295), (4296) are inconsistent by sub-proof #106. % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | (4297) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4297) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4298) all_4_11 = n12 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4298) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4299) pred(n12) = all_4_9 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4298) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4300) succ(n12) = all_4_5 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (4300) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4301) all_4_5 = n13 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (4299) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4302) all_4_9 = n11 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4301), (4302) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4303) sum(n11, n13) = all_4_2 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4302) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4304) sum(n11, n21) = all_4_7 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4301) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4305) sum(n19, n13) = all_4_4 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (4303) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4306) all_4_2 = n24 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n21, n11, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (314), (4304) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4307) all_4_7 = n6 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n13, n19, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | simplifying with (514), (4305) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4308) all_4_4 = n6 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4306) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4309) sum(n24, n14) = all_4_0 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4307), (4308) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4310) sum(n6, n6) = all_4_3 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (645), (4309), (4310) are % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #320. % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | (4311) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4311) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4312) all_4_11 = n11 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4312) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4313) pred(n11) = all_4_9 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4312) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4314) succ(n11) = all_4_5 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (4314) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4315) all_4_5 = n12 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (4313) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4316) all_4_9 = n10 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4315), (4316) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4317) sum(n10, n12) = all_4_2 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4316) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4318) sum(n10, n21) = all_4_7 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4315) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4319) sum(n19, n12) = all_4_4 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (4317) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4320) all_4_2 = n22 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n21, n10, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (4318) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4321) all_4_7 = n5 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n12, n19, % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | simplifying with (513), (4319) gives: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4322) all_4_4 = n5 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4320) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4323) sum(n22, n14) = all_4_0 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4321), (4322) imply: % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | (4324) sum(n5, n5) = all_4_3 % 189.19/27.14 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (593), (4323), (4324) are % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272. % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | (4325) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4325) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4326) all_4_11 = n10 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4326) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4327) pred(n10) = all_4_9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4326) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4328) succ(n10) = all_4_5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (4328) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4329) all_4_5 = n11 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (4327) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4330) all_4_9 = n9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4329), (4330) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4331) sum(n9, n11) = all_4_2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4330) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4332) sum(n9, n21) = all_4_7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4329) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4333) sum(n19, n11) = all_4_4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (4331) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4334) all_4_2 = n20 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n21, n9, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (262), (4332) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4335) all_4_7 = n4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n11, n19, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (512), (4333) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4336) all_4_4 = n4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4334) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4337) sum(n20, n14) = all_4_0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4335), (4336) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4338) sum(n4, n4) = all_4_3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (541), (4337), (4338) are % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228. % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | (4339) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4339) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_4_11 = n9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4340) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4341) pred(n9) = all_4_9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4340) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4342) succ(n9) = all_4_5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (4342) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4343) all_4_5 = n10 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (4341) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_4_9 = n8 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4343), (4344) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4345) sum(n8, n10) = all_4_2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4344) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4346) sum(n8, n21) = all_4_7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4343) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4347) sum(n19, n10) = all_4_4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (4345) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4348) all_4_2 = n18 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n21, n8, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (4346) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_4_7 = n3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n10, n19, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (511), (4347) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4350) all_4_4 = n3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4348) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4351) sum(n18, n14) = all_4_0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4349), (4350) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4352) sum(n3, n3) = all_4_3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (489), (4351), (4352) are % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188. % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (4353) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4353) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4354) all_4_11 = n8 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4354) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4355) pred(n8) = all_4_9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4354) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4356) succ(n8) = all_4_5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (4356) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_4_5 = n9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (4355) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4358) all_4_9 = n7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4357), (4358) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4359) sum(n7, n9) = all_4_2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4358) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4360) sum(n7, n21) = all_4_7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4357) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4361) sum(n19, n9) = all_4_4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (4359) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4362) all_4_2 = n16 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n21, n7, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (210), (4360) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4363) all_4_7 = n2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n9, n19, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (510), (4361) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4364) all_4_4 = n2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4362) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4365) sum(n16, n14) = all_4_0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4363), (4364) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4366) sum(n2, n2) = all_4_3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (437), (4365), (4366) are % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #152. % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4367) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4367) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) all_4_11 = n7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4368) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) pred(n7) = all_4_9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4368) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) succ(n7) = all_4_5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (4370) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_4_5 = n8 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (4369) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_4_9 = n6 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4371), (4372) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) sum(n6, n8) = all_4_2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4372) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) sum(n6, n21) = all_4_7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4371) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) sum(n19, n8) = all_4_4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (4373) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) all_4_2 = n14 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n21, n6, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (184), (4374) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) all_4_7 = n1 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n8, n19, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (509), (4375) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) all_4_4 = n1 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4376) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) sum(n14, n14) = all_4_0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4377), (4378) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4380) sum(n1, n1) = all_4_3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (385), (4379), (4380) are % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4381) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4381) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4382) all_4_11 = n6 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4382) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383) pred(n6) = all_4_9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4382) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4384) succ(n6) = all_4_5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (4384) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385) all_4_5 = n7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (4383) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4386) all_4_9 = n5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4385), (4386) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4387) sum(n5, n7) = all_4_2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4386) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388) sum(n5, n21) = all_4_7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4385) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389) sum(n19, n7) = all_4_4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (4387) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) all_4_2 = n12 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n21, n5, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (158), (4388) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) all_4_7 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n7, n19, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (508), (4389) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) all_4_4 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4390) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) sum(n12, n14) = all_4_0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4391), (4392) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) sum(n0, n0) = all_4_3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (333), (4393), (4394) are % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105. % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4395) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4396) all_4_11 = n5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4396) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4397) pred(n5) = all_4_9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4396) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4398) succ(n5) = all_4_5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (4398) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4399) all_4_5 = n6 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (4397) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4400) all_4_9 = n4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4399), (4400) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4401) sum(n4, n6) = all_4_2 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4400) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4402) sum(n4, n21) = all_4_7 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4399) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4403) sum(n19, n6) = all_4_4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (4401) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4404) all_4_2 = n10 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n21, n4, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (132), (4402) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_4_7 = n25 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n6, n19, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (507), (4403) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) all_4_4 = n25 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4404) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) sum(n10, n14) = all_4_0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4405), (4406) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) sum(n25, n25) = all_4_3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (281), (682), (4407), (4408) are % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104. % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4409) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) all_4_11 = n4 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4410) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) pred(n4) = all_4_9 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4410) imply: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) succ(n4) = all_4_5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (4412) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) all_4_5 = n5 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (4411) gives: % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) all_4_9 = n3 % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4413), (4414) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) sum(n3, n5) = all_4_2 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4414) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) sum(n3, n21) = all_4_7 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4413) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) sum(n19, n5) = all_4_4 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (4415) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) all_4_2 = n8 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n21, n3, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (4416) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) all_4_7 = n24 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n5, n19, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (506), (4417) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) all_4_4 = n24 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4418) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) sum(n8, n14) = all_4_0 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4419), (4420) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) sum(n24, n24) = all_4_3 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (229), (655), (4421), (4422) are % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103. % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4423) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) all_4_11 = n3 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4424) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) pred(n3) = all_4_9 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4424) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4426) succ(n3) = all_4_5 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (4426) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4427) all_4_5 = n4 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (4425) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428) all_4_9 = n2 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4427), (4428) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429) sum(n2, n4) = all_4_2 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4428) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430) sum(n2, n21) = all_4_7 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4427) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4431) sum(n19, n4) = all_4_4 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (4429) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) all_4_2 = n6 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n21, n2, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (80), (4430) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) all_4_7 = n23 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n4, n19, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (505), (4431) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) all_4_4 = n23 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4432) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) sum(n6, n14) = all_4_0 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4433), (4434) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) sum(n23, n23) = all_4_3 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (177), (628), (4435), (4436) are % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102. % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4437) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) all_4_11 = n2 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4438) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) pred(n2) = all_4_9 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4438) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) succ(n2) = all_4_5 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (4440) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) all_4_5 = n3 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (4439) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) all_4_9 = n1 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4441), (4442) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) sum(n1, n3) = all_4_2 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4442) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) sum(n1, n21) = all_4_7 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4441) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) sum(n19, n3) = all_4_4 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (4443) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) all_4_2 = n4 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n21, n1, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (54), (4444) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) all_4_7 = n22 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n3, n19, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (504), (4445) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) all_4_4 = n22 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4446) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) sum(n4, n14) = all_4_0 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4447), (4448) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) sum(n22, n22) = all_4_3 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (125), (601), (4449), (4450) are % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101. % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_4_11 = n1 | all_4_11 = n0 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4451) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) all_4_11 = n1 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4452) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) pred(n1) = all_4_9 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4452) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) succ(n1) = all_4_5 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (4454) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) all_4_5 = n2 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (4453) gives: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) all_4_9 = n0 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4455), (4456) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) sum(n0, n2) = all_4_2 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4456) imply: % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) sum(n0, n21) = all_4_7 % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.19/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4455) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) sum(n19, n2) = all_4_4 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (4457) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) all_4_2 = n2 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n21, n0, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (4458) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_4_7 = n21 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n2, n19, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (503), (4459) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) all_4_4 = n21 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4460) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) sum(n2, n14) = all_4_0 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4461), (4462) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) sum(n21, n21) = all_4_3 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (73), (574), (4463), (4464) are % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100. % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) all_4_11 = n0 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4465) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) pred(n0) = all_4_9 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4465) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) succ(n0) = all_4_5 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (4467) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_4_5 = n1 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (4466) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_4_9 = n25 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4468), (4469) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) sum(n25, n1) = all_4_2 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4211), (4469) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) sum(n25, n21) = all_4_7 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4209), (4468) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) sum(n19, n1) = all_4_4 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n1, n19, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (502), (4472) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_4_4 = n20 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (4470) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) all_4_2 = n0 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n21, n25, % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (678), (4471) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) all_4_7 = n20 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4213), (4474) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) sum(n0, n14) = all_4_0 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4473), (4475) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) sum(n20, n20) = all_4_3 % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21), (547), (4476), (4477) are % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #99. % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | End of split % 189.54/27.16 | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | Case 2: % 189.54/27.16 | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | (4478) all_4_10 = n19 | all_4_10 = n18 | all_4_10 = n17 | % 189.54/27.16 | | | | | | | | | | | | | all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 189.54/27.16 | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.54/27.16 | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.54/27.16 | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.54/27.16 | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.54/27.16 | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.16 | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | BETA: splitting (4203) gives: % 189.54/27.16 | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | Case 1: % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | (4479) all_4_11 = n19 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | REDUCE: (743), (4479) imply: % 189.54/27.16 | | | | | | | | | | | | | | (4480) pred(n19) = all_4_9 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | REDUCE: (715), (4479) imply: % 189.54/27.16 | | | | | | | | | | | | | | (4481) succ(n19) = all_4_5 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_5, n19, % 189.54/27.16 | | | | | | | | | | | | | | simplifying with (708), (4481) gives: % 189.54/27.16 | | | | | | | | | | | | | | (4482) all_4_5 = n20 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_9, n19, % 189.54/27.16 | | | | | | | | | | | | | | simplifying with (736), (4480) gives: % 189.54/27.16 | | | | | | | | | | | | | | (4483) all_4_9 = n18 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | REDUCE: (687), (4482) imply: % 189.54/27.16 | | | | | | | | | | | | | | (4484) sum(all_4_6, n20) = all_4_4 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | REDUCE: (684), (4482), (4483) imply: % 189.54/27.16 | | | | | | | | | | | | | | (4485) sum(n18, n20) = all_4_2 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | REDUCE: (683), (4483) imply: % 189.54/27.16 | | | | | | | | | | | | | | (4486) sum(n18, all_4_8) = all_4_7 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n20, n18, % 189.54/27.16 | | | | | | | | | | | | | | simplifying with (495), (4485) gives: % 189.54/27.16 | | | | | | | | | | | | | | (4487) all_4_2 = n12 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | REDUCE: (688), (4487) imply: % 189.54/27.16 | | | | | | | | | | | | | | (4488) sum(n12, all_4_1) = all_4_0 % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | BETA: splitting (4478) gives: % 189.54/27.16 | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | Case 1: % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | (4489) all_4_10 = n19 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | REDUCE: (744), (4489) imply: % 189.54/27.16 | | | | | | | | | | | | | | | (4490) pred(n19) = all_4_6 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | REDUCE: (716), (4489) imply: % 189.54/27.16 | | | | | | | | | | | | | | | (4491) succ(n19) = all_4_8 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 189.54/27.16 | | | | | | | | | | | | | | | simplifying with (708), (4491) gives: % 189.54/27.16 | | | | | | | | | | | | | | | (4492) all_4_8 = n20 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 189.54/27.16 | | | | | | | | | | | | | | | simplifying with (736), (4490) gives: % 189.54/27.16 | | | | | | | | | | | | | | | (4493) all_4_6 = n18 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | REDUCE: (686), (4492), (4493) imply: % 189.54/27.16 | | | | | | | | | | | | | | | (4494) sum(n18, n20) = all_4_1 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | REDUCE: (4484), (4493) imply: % 189.54/27.16 | | | | | | | | | | | | | | | (4495) sum(n18, n20) = all_4_4 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | REDUCE: (4486), (4492) imply: % 189.54/27.16 | | | | | | | | | | | | | | | (4496) sum(n18, n20) = all_4_7 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n20, n18, % 189.54/27.16 | | | | | | | | | | | | | | | simplifying with (495), (4495) gives: % 189.54/27.16 | | | | | | | | | | | | | | | (4497) all_4_4 = n12 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n20, n18, % 189.54/27.16 | | | | | | | | | | | | | | | simplifying with (4494), (4495) gives: % 189.54/27.16 | | | | | | | | | | | | | | | (4498) all_4_1 = all_4_4 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n20, n18, % 189.54/27.16 | | | | | | | | | | | | | | | simplifying with (4494), (4496) gives: % 189.54/27.16 | | | | | | | | | | | | | | | (4499) all_4_1 = all_4_7 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (685), (4488), (4497), (4498), % 189.54/27.16 | | | | | | | | | | | | | | | (4499) are inconsistent by sub-proof #98. % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | Case 2: % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | (4500) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 189.54/27.16 | | | | | | | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.54/27.16 | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.54/27.16 | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.54/27.16 | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.54/27.16 | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.54/27.16 | | | | | | | | | | | | | | | all_4_10 = n0 % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | BETA: splitting (4500) gives: % 189.54/27.16 | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | Case 1: % 189.54/27.16 | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | (4501) all_4_10 = n18 % 189.54/27.16 | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | REDUCE: (744), (4501) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | (4502) pred(n18) = all_4_6 % 189.54/27.16 | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | REDUCE: (716), (4501) imply: % 189.54/27.16 | | | | | | | | | | | | | | | | (4503) succ(n18) = all_4_8 % 189.54/27.16 | | | | | | | | | | | | | | | | % 189.54/27.16 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 189.54/27.16 | | | | | | | | | | | | | | | | simplifying with (707), (4503) gives: % 189.54/27.16 | | | | | | | | | | | | | | | | (4504) all_4_8 = n19 % 189.54/27.16 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | simplifying with (735), (4502) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | (4505) all_4_6 = n17 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | REDUCE: (686), (4504), (4505) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | (4506) sum(n17, n19) = all_4_1 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | REDUCE: (4484), (4505) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | (4507) sum(n17, n20) = all_4_4 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | REDUCE: (4486), (4504) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | (4508) sum(n18, n19) = all_4_7 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 189.54/27.17 | | | | | | | | | | | | | | | | simplifying with (468), (4506) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | (4509) all_4_1 = n10 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n20, n17, % 189.54/27.17 | | | | | | | | | | | | | | | | simplifying with (469), (4507) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | (4510) all_4_4 = n11 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n19, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | simplifying with (494), (4508) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | (4511) all_4_7 = n11 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (329), (685), (4488), (4509), % 189.54/27.17 | | | | | | | | | | | | | | | | (4510), (4511) are inconsistent by sub-proof #97. % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | Case 2: % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | (4512) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 189.54/27.17 | | | | | | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.54/27.17 | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.54/27.17 | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.54/27.17 | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.54/27.17 | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | BETA: splitting (4512) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | Case 1: % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | (4513) all_4_10 = n17 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | REDUCE: (744), (4513) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4514) pred(n17) = all_4_6 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | REDUCE: (716), (4513) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4515) succ(n17) = all_4_8 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 189.54/27.17 | | | | | | | | | | | | | | | | | simplifying with (706), (4515) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4516) all_4_8 = n18 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 189.54/27.17 | | | | | | | | | | | | | | | | | simplifying with (734), (4514) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4517) all_4_6 = n16 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | REDUCE: (686), (4516), (4517) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4518) sum(n16, n18) = all_4_1 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | REDUCE: (4484), (4517) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4519) sum(n16, n20) = all_4_4 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | REDUCE: (4486), (4516) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4520) sum(n18, n18) = all_4_7 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 189.54/27.17 | | | | | | | | | | | | | | | | | simplifying with (441), (4518) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4521) all_4_1 = n8 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n20, n16, % 189.54/27.17 | | | | | | | | | | | | | | | | | simplifying with (443), (4519) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4522) all_4_4 = n10 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n18, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | | simplifying with (493), (4520) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | (4523) all_4_7 = n10 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (327), (685), (4488), (4521), % 189.54/27.17 | | | | | | | | | | | | | | | | | (4522), (4523) are inconsistent by sub-proof #96. % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | Case 2: % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | (4524) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 189.54/27.17 | | | | | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.54/27.17 | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.54/27.17 | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.54/27.17 | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.54/27.17 | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | BETA: splitting (4524) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4525) all_4_10 = n16 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | REDUCE: (744), (4525) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4526) pred(n16) = all_4_6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | REDUCE: (716), (4525) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4527) succ(n16) = all_4_8 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 189.54/27.17 | | | | | | | | | | | | | | | | | | simplifying with (705), (4527) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4528) all_4_8 = n17 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 189.54/27.17 | | | | | | | | | | | | | | | | | | simplifying with (733), (4526) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4529) all_4_6 = n15 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | REDUCE: (686), (4528), (4529) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4530) sum(n15, n17) = all_4_1 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4529) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4531) sum(n15, n20) = all_4_4 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4528) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4532) sum(n18, n17) = all_4_7 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 189.54/27.17 | | | | | | | | | | | | | | | | | | simplifying with (414), (4530) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4533) all_4_1 = n6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n20, n15, % 189.54/27.17 | | | | | | | | | | | | | | | | | | simplifying with (417), (4531) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4534) all_4_4 = n9 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n17, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | | | simplifying with (492), (4532) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4535) all_4_7 = n9 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (325), (685), (4488), (4533), % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4534), (4535) are inconsistent by sub-proof #95. % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | (4536) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | BETA: splitting (4536) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4537) all_4_10 = n15 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4537) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4538) pred(n15) = all_4_6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4537) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4539) succ(n15) = all_4_8 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | simplifying with (704), (4539) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4540) all_4_8 = n16 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | simplifying with (732), (4538) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4541) all_4_6 = n14 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4540), (4541) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4542) sum(n14, n16) = all_4_1 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4541) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4543) sum(n14, n20) = all_4_4 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4540) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4544) sum(n18, n16) = all_4_7 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | simplifying with (387), (4542) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4545) all_4_1 = n4 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n20, n14, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | simplifying with (391), (4543) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4546) all_4_4 = n8 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n16, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | simplifying with (491), (4544) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4547) all_4_7 = n8 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (323), (685), (4488), (4545), % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4546), (4547) are inconsistent by sub-proof #94. % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | (4548) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (4548) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4549) all_4_10 = n14 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4549) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4550) pred(n14) = all_4_6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4549) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4551) succ(n14) = all_4_8 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | simplifying with (703), (4551) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4552) all_4_8 = n15 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | simplifying with (731), (4550) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4553) all_4_6 = n13 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4552), (4553) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4554) sum(n13, n15) = all_4_1 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4553) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4555) sum(n13, n20) = all_4_4 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4552) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4556) sum(n18, n15) = all_4_7 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | simplifying with (360), (4554) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4557) all_4_1 = n2 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n20, n13, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | simplifying with (365), (4555) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4558) all_4_4 = n7 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n15, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | simplifying with (490), (4556) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4559) all_4_7 = n7 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (321), (685), (4488), (4557), % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4558), (4559) are inconsistent by sub-proof #93. % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | (4560) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4560) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4561) all_4_10 = n13 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4561) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4562) pred(n13) = all_4_6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4561) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4563) succ(n13) = all_4_8 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (4563) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4564) all_4_8 = n14 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (4562) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4565) all_4_6 = n12 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4564), (4565) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4566) sum(n12, n14) = all_4_1 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4565) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4567) sum(n12, n20) = all_4_4 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4564) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4568) sum(n18, n14) = all_4_7 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (4566) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4569) all_4_1 = n0 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n20, n12, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | simplifying with (339), (4567) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4570) all_4_4 = n6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n14, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | simplifying with (489), (4568) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4571) all_4_7 = n6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (319), (685), (4488), (4569), % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4570), (4571) are inconsistent by sub-proof #92. % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | (4572) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4572) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4573) all_4_10 = n12 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4573) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4574) pred(n12) = all_4_6 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4573) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4575) succ(n12) = all_4_8 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (4575) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4576) all_4_8 = n13 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (4574) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4577) all_4_6 = n11 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4576), (4577) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4578) sum(n11, n13) = all_4_1 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4577) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4579) sum(n11, n20) = all_4_4 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4576) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4580) sum(n18, n13) = all_4_7 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (4578) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4581) all_4_1 = n24 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n20, n11, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | simplifying with (313), (4579) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4582) all_4_4 = n5 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n13, n18, % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | simplifying with (488), (4580) gives: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4583) all_4_7 = n5 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4582), (4583) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4584) sum(n5, n5) = all_4_3 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4581) imply: % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | (4585) sum(n12, n24) = all_4_0 % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (343), (4584), (4585) are % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #295. % 189.54/27.17 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | (4586) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4586) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4587) all_4_10 = n11 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4587) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4588) pred(n11) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4587) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4589) succ(n11) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (4589) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4590) all_4_8 = n12 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (4588) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4591) all_4_6 = n10 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4590), (4591) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4592) sum(n10, n12) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4591) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4593) sum(n10, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4590) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4594) sum(n18, n12) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (4592) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4595) all_4_1 = n22 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n20, n10, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (4593) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4596) all_4_4 = n4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n12, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (487), (4594) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4597) all_4_7 = n4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4596), (4597) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4598) sum(n4, n4) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4595) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4599) sum(n12, n22) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (341), (4598), (4599) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #249. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | (4600) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4600) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_4_10 = n10 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4601) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4602) pred(n10) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4601) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4603) succ(n10) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (4603) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_4_8 = n11 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (4602) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_4_6 = n9 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4604), (4605) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4606) sum(n9, n11) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4605) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4607) sum(n9, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4604) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4608) sum(n18, n11) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (4606) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4609) all_4_1 = n20 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n20, n9, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (261), (4607) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_4_4 = n3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n11, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (486), (4608) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_4_7 = n3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4610), (4611) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4612) sum(n3, n3) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4609) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4613) sum(n12, n20) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (339), (4612), (4613) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #207. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4614) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_4_10 = n9 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4615) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4616) pred(n9) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4615) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4617) succ(n9) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (4617) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_4_8 = n10 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (4616) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4619) all_4_6 = n8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4618), (4619) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4620) sum(n8, n10) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4619) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4621) sum(n8, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4618) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4622) sum(n18, n10) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (4620) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_4_1 = n18 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n20, n8, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (4621) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_4_4 = n2 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n10, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (485), (4622) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_4_7 = n2 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4624), (4625) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4626) sum(n2, n2) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4623) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4627) sum(n12, n18) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (337), (4626), (4627) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4628) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_4_10 = n8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4629) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) pred(n8) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4629) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) succ(n8) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (4631) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_4_8 = n9 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (4630) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_4_6 = n7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4632), (4633) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) sum(n7, n9) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4633) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) sum(n7, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4632) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) sum(n18, n9) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (4634) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_4_1 = n16 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n20, n7, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (209), (4635) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_4_4 = n1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n9, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (484), (4636) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) all_4_7 = n1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4638), (4639) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) sum(n1, n1) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4637) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) sum(n12, n16) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (335), (4640), (4641) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_4_10 = n7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4643) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) pred(n7) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4643) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) succ(n7) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (4645) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_4_8 = n8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (4644) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) all_4_6 = n6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4646), (4647) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) sum(n6, n8) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4647) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) sum(n6, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4646) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) sum(n18, n8) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (4648) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_4_1 = n14 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n20, n6, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (183), (4649) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) all_4_4 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n8, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (483), (4650) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_4_7 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4652), (4653) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) sum(n0, n0) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4651) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) sum(n12, n14) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (333), (4654), (4655) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_4_10 = n6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4657) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) pred(n6) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4657) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) succ(n6) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (4659) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) all_4_8 = n7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (4658) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_4_6 = n5 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4660), (4661) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) sum(n5, n7) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4661) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) sum(n5, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4660) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) sum(n18, n7) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (4662) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) all_4_1 = n12 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n20, n5, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (157), (4663) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_4_4 = n25 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n7, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (482), (4664) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_4_7 = n25 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4666), (4667) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) sum(n25, n25) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4665) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) sum(n12, n12) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (682), (4668), (4669) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4670) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) all_4_10 = n5 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4671) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) pred(n5) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4671) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) succ(n5) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (4673) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_4_8 = n6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (4672) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) all_4_6 = n4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4674), (4675) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) sum(n4, n6) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4675) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) sum(n4, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4674) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) sum(n18, n6) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (4676) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) all_4_1 = n10 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n20, n4, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (131), (4677) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) all_4_4 = n24 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n6, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (481), (4678) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) all_4_7 = n24 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4680), (4681) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) sum(n24, n24) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4679) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) sum(n12, n10) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (329), (655), (4682), (4683) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4684) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) all_4_10 = n4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4685) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) pred(n4) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4685) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) succ(n4) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (4687) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) all_4_8 = n5 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (4686) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_4_6 = n3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4688), (4689) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) sum(n3, n5) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4689) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) sum(n3, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4688) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) sum(n18, n5) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (4690) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_4_1 = n8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n20, n3, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (105), (4691) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) all_4_4 = n23 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n5, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (480), (4692) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) all_4_7 = n23 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4694), (4695) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) sum(n23, n23) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4693) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) sum(n12, n8) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (327), (628), (4696), (4697) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4698) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_4_10 = n3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4699) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) pred(n3) = all_4_6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4699) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) succ(n3) = all_4_8 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (4701) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_4_8 = n4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (4700) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) all_4_6 = n2 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4702), (4703) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) sum(n2, n4) = all_4_1 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4703) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) sum(n2, n20) = all_4_4 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4702) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) sum(n18, n4) = all_4_7 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (4704) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) all_4_1 = n6 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n20, n2, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (79), (4705) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_4_4 = n22 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n4, n18, % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (479), (4706) gives: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_4_7 = n22 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4708), (4709) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) sum(n22, n22) = all_4_3 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4707) imply: % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) sum(n12, n6) = all_4_0 % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (325), (601), (4710), (4711) are % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #88. % 189.54/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4712) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_4_10 = n2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4713) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) pred(n2) = all_4_6 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4713) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) succ(n2) = all_4_8 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (4715) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) all_4_8 = n3 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (4714) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) all_4_6 = n1 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4716), (4717) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) sum(n1, n3) = all_4_1 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4717) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) sum(n1, n20) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4716) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) sum(n18, n3) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (4718) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) all_4_1 = n4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n20, n1, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (4719) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_4_4 = n21 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n3, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (478), (4720) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_4_7 = n21 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4722), (4723) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) sum(n21, n21) = all_4_3 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4721) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) sum(n12, n4) = all_4_0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (323), (574), (4724), (4725) are % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87. % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) all_4_10 = n1 | all_4_10 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4726) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) all_4_10 = n1 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4727) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) pred(n1) = all_4_6 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4727) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) succ(n1) = all_4_8 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (4729) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) all_4_8 = n2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (4728) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_4_6 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4730), (4731) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) sum(n0, n2) = all_4_1 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4731) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) sum(n0, n20) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4730) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) sum(n18, n2) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (4732) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_4_1 = n2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n20, n0, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (27), (4733) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_4_4 = n20 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n2, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (477), (4734) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) all_4_7 = n20 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4736), (4737) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) sum(n20, n20) = all_4_3 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4735) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) sum(n12, n2) = all_4_0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (321), (547), (4738), (4739) are % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86. % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_4_10 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4740) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) pred(n0) = all_4_6 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4740) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) succ(n0) = all_4_8 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (4742) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_4_8 = n1 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (4741) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_4_6 = n25 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4743), (4744) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) sum(n25, n1) = all_4_1 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4744) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) sum(n25, n20) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4743) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) sum(n18, n1) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n1, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (476), (4747) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_4_7 = n19 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (4745) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_4_1 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n20, n25, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (677), (4746) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_4_4 = n19 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4748), (4750) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) sum(n19, n19) = all_4_3 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4488), (4749) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) sum(n12, n0) = all_4_0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (319), (520), (4751), (4752) are % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85. % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | End of split % 189.54/27.19 | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | (4753) all_4_11 = n18 | all_4_11 = n17 | all_4_11 = n16 | % 189.54/27.19 | | | | | | | | | | | | | | all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 189.54/27.19 | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.54/27.19 | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.54/27.19 | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.54/27.19 | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.54/27.19 | | | | | | | | | | | | | | all_4_11 = n0 % 189.54/27.19 | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | BETA: splitting (4478) gives: % 189.54/27.19 | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | (4754) all_4_10 = n19 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | REDUCE: (744), (4754) imply: % 189.54/27.19 | | | | | | | | | | | | | | | (4755) pred(n19) = all_4_6 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | REDUCE: (716), (4754) imply: % 189.54/27.19 | | | | | | | | | | | | | | | (4756) succ(n19) = all_4_8 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n20, all_4_8, n19, % 189.54/27.19 | | | | | | | | | | | | | | | simplifying with (708), (4756) gives: % 189.54/27.19 | | | | | | | | | | | | | | | (4757) all_4_8 = n20 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n18, all_4_6, n19, % 189.54/27.19 | | | | | | | | | | | | | | | simplifying with (736), (4755) gives: % 189.54/27.19 | | | | | | | | | | | | | | | (4758) all_4_6 = n18 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | REDUCE: (687), (4758) imply: % 189.54/27.19 | | | | | | | | | | | | | | | (4759) sum(n18, all_4_5) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | REDUCE: (686), (4757), (4758) imply: % 189.54/27.19 | | | | | | | | | | | | | | | (4760) sum(n18, n20) = all_4_1 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | REDUCE: (683), (4757) imply: % 189.54/27.19 | | | | | | | | | | | | | | | (4761) sum(all_4_9, n20) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n20, n18, % 189.54/27.19 | | | | | | | | | | | | | | | simplifying with (495), (4760) gives: % 189.54/27.19 | | | | | | | | | | | | | | | (4762) all_4_1 = n12 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | REDUCE: (688), (4762) imply: % 189.54/27.19 | | | | | | | | | | | | | | | (4763) sum(all_4_2, n12) = all_4_0 % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | BETA: splitting (4753) gives: % 189.54/27.19 | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | (4764) all_4_11 = n18 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | REDUCE: (743), (4764) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | (4765) pred(n18) = all_4_9 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | REDUCE: (715), (4764) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | (4766) succ(n18) = all_4_5 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | simplifying with (707), (4766) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | (4767) all_4_5 = n19 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | simplifying with (735), (4765) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | (4768) all_4_9 = n17 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | REDUCE: (684), (4767), (4768) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | (4769) sum(n17, n19) = all_4_2 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | REDUCE: (4761), (4768) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | (4770) sum(n17, n20) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | REDUCE: (4759), (4767) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | (4771) sum(n18, n19) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 189.54/27.19 | | | | | | | | | | | | | | | | simplifying with (468), (4769) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | (4772) all_4_2 = n10 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n20, n17, % 189.54/27.19 | | | | | | | | | | | | | | | | simplifying with (469), (4770) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | (4773) all_4_7 = n11 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n19, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | simplifying with (494), (4771) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | (4774) all_4_4 = n11 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (279), (304), (685), (4763), (4772), % 189.54/27.19 | | | | | | | | | | | | | | | | (4773), (4774) are inconsistent by sub-proof #84. % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | (4775) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 189.54/27.19 | | | | | | | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.54/27.19 | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.54/27.19 | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.54/27.19 | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.54/27.19 | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | BETA: splitting (4775) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | (4776) all_4_11 = n17 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | REDUCE: (743), (4776) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4777) pred(n17) = all_4_9 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | REDUCE: (715), (4776) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4778) succ(n17) = all_4_5 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 189.54/27.19 | | | | | | | | | | | | | | | | | simplifying with (706), (4778) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4779) all_4_5 = n18 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 189.54/27.19 | | | | | | | | | | | | | | | | | simplifying with (734), (4777) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4780) all_4_9 = n16 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | REDUCE: (684), (4779), (4780) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4781) sum(n16, n18) = all_4_2 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | REDUCE: (4761), (4780) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4782) sum(n16, n20) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | REDUCE: (4759), (4779) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4783) sum(n18, n18) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 189.54/27.19 | | | | | | | | | | | | | | | | | simplifying with (441), (4781) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4784) all_4_2 = n8 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n20, n16, % 189.54/27.19 | | | | | | | | | | | | | | | | | simplifying with (443), (4782) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4785) all_4_7 = n10 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n18, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | | simplifying with (493), (4783) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | (4786) all_4_4 = n10 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (227), (277), (685), (4763), (4784), % 189.54/27.19 | | | | | | | | | | | | | | | | | (4785), (4786) are inconsistent by sub-proof #83. % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | (4787) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 189.54/27.19 | | | | | | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.54/27.19 | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.54/27.19 | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.54/27.19 | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.54/27.19 | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | BETA: splitting (4787) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4788) all_4_11 = n16 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | REDUCE: (743), (4788) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4789) pred(n16) = all_4_9 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | REDUCE: (715), (4788) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4790) succ(n16) = all_4_5 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 189.54/27.19 | | | | | | | | | | | | | | | | | | simplifying with (705), (4790) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4791) all_4_5 = n17 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 189.54/27.19 | | | | | | | | | | | | | | | | | | simplifying with (733), (4789) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4792) all_4_9 = n15 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | REDUCE: (684), (4791), (4792) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4793) sum(n15, n17) = all_4_2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4792) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4794) sum(n15, n20) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4791) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4795) sum(n18, n17) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 189.54/27.19 | | | | | | | | | | | | | | | | | | simplifying with (414), (4793) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4796) all_4_2 = n6 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n20, n15, % 189.54/27.19 | | | | | | | | | | | | | | | | | | simplifying with (417), (4794) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4797) all_4_7 = n9 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n17, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | | | simplifying with (492), (4795) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4798) all_4_4 = n9 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (175), (250), (685), (4763), (4796), % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4797), (4798) are inconsistent by sub-proof #82. % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | (4799) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | BETA: splitting (4799) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4800) all_4_11 = n15 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4800) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4801) pred(n15) = all_4_9 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4800) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4802) succ(n15) = all_4_5 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | simplifying with (704), (4802) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4803) all_4_5 = n16 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | simplifying with (732), (4801) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4804) all_4_9 = n14 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4803), (4804) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4805) sum(n14, n16) = all_4_2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4804) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4806) sum(n14, n20) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4803) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4807) sum(n18, n16) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | simplifying with (387), (4805) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4808) all_4_2 = n4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n20, n14, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | simplifying with (391), (4806) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4809) all_4_7 = n8 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n16, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | simplifying with (491), (4807) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4810) all_4_4 = n8 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (123), (223), (685), (4763), (4808), % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4809), (4810) are inconsistent by sub-proof #81. % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | (4811) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (4811) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4812) all_4_11 = n14 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4812) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4813) pred(n14) = all_4_9 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4812) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4814) succ(n14) = all_4_5 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | simplifying with (703), (4814) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4815) all_4_5 = n15 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | simplifying with (731), (4813) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4816) all_4_9 = n13 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4815), (4816) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4817) sum(n13, n15) = all_4_2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4816) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4818) sum(n13, n20) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4815) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4819) sum(n18, n15) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | simplifying with (360), (4817) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4820) all_4_2 = n2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n20, n13, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | simplifying with (365), (4818) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4821) all_4_7 = n7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n15, n18, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | simplifying with (490), (4819) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4822) all_4_4 = n7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (71), (196), (685), (4763), (4820), % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4821), (4822) are inconsistent by sub-proof #80. % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | (4823) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4823) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4824) all_4_11 = n13 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4824) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4825) pred(n13) = all_4_9 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4824) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4826) succ(n13) = all_4_5 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (4826) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4827) all_4_5 = n14 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (4825) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4828) all_4_9 = n12 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4827), (4828) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4829) sum(n12, n14) = all_4_2 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4828) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4830) sum(n12, n20) = all_4_7 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4827) imply: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4831) sum(n18, n14) = all_4_4 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (4829) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4832) all_4_2 = n0 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n20, n12, % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | simplifying with (339), (4830) gives: % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | (4833) all_4_7 = n6 % 189.54/27.19 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n14, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | simplifying with (489), (4831) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | (4834) all_4_4 = n6 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (169), (685), (4763), (4832), % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | (4833), (4834) are inconsistent by sub-proof #79. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | (4835) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4835) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4836) all_4_11 = n12 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4836) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4837) pred(n12) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4836) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4838) succ(n12) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (4838) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4839) all_4_5 = n13 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (4837) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4840) all_4_9 = n11 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4839), (4840) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4841) sum(n11, n13) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4840) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4842) sum(n11, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4839) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4843) sum(n18, n13) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (4841) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4844) all_4_2 = n24 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n20, n11, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (313), (4842) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4845) all_4_7 = n5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n13, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | simplifying with (488), (4843) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4846) all_4_4 = n5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4844) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4847) sum(n24, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4845), (4846) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4848) sum(n5, n5) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (643), (4847), (4848) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #319. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | (4849) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4849) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4850) all_4_11 = n11 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4850) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4851) pred(n11) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4850) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4852) succ(n11) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (4852) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4853) all_4_5 = n12 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (4851) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4854) all_4_9 = n10 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4853), (4854) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4855) sum(n10, n12) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4854) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4856) sum(n10, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4853) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4857) sum(n18, n12) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (4855) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4858) all_4_2 = n22 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n20, n10, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (4856) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4859) all_4_7 = n4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n12, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (487), (4857) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4860) all_4_4 = n4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4858) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4861) sum(n22, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4859), (4860) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4862) sum(n4, n4) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (591), (4861), (4862) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | (4863) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4863) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_4_11 = n10 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4864) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4865) pred(n10) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4864) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4866) succ(n10) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (4866) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_4_5 = n11 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (4865) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_4_9 = n9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4867), (4868) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4869) sum(n9, n11) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4868) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4870) sum(n9, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4867) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4871) sum(n18, n11) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (4869) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_4_2 = n20 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n20, n9, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (261), (4870) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4873) all_4_7 = n3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n11, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (486), (4871) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4874) all_4_4 = n3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4872) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4875) sum(n20, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4873), (4874) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4876) sum(n3, n3) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (539), (4875), (4876) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #227. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | (4877) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4877) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_4_11 = n9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4878) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4879) pred(n9) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4878) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4880) succ(n9) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (4880) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4881) all_4_5 = n10 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (4879) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4882) all_4_9 = n8 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4881), (4882) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4883) sum(n8, n10) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4882) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4884) sum(n8, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4881) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4885) sum(n18, n10) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (4883) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_4_2 = n18 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n20, n8, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (4884) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4887) all_4_7 = n2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n10, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (485), (4885) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4888) all_4_4 = n2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4886) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4889) sum(n18, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4887), (4888) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4890) sum(n2, n2) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (487), (4889), (4890) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4891) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4891) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) all_4_11 = n8 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4892) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) pred(n8) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4892) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) succ(n8) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (4894) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_4_5 = n9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (4893) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) all_4_9 = n7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4895), (4896) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) sum(n7, n9) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4896) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) sum(n7, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4895) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) sum(n18, n9) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (4897) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) all_4_2 = n16 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n20, n7, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (209), (4898) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) all_4_7 = n1 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n9, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (484), (4899) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) all_4_4 = n1 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4900) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) sum(n16, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4901), (4902) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) sum(n1, n1) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (435), (4903), (4904) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #151. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4905) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) all_4_11 = n7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4906) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) pred(n7) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4906) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) succ(n7) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (4908) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) all_4_5 = n8 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (4907) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) all_4_9 = n6 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4909), (4910) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) sum(n6, n8) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4910) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) sum(n6, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4909) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) sum(n18, n8) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (4911) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) all_4_2 = n14 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n20, n6, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (183), (4912) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) all_4_7 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n8, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (483), (4913) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) all_4_4 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4914) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) sum(n14, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4915), (4916) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) sum(n0, n0) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (383), (4917), (4918) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #119. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4919) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) all_4_11 = n6 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4920) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) pred(n6) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4920) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) succ(n6) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (4922) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) all_4_5 = n7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (4921) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) all_4_9 = n5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4923), (4924) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) sum(n5, n7) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4924) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) sum(n5, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4923) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) sum(n18, n7) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (4925) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) all_4_2 = n12 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n20, n5, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (157), (4926) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) all_4_7 = n25 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n7, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (482), (4927) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) all_4_4 = n25 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4928) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) sum(n12, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4929), (4930) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) sum(n25, n25) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (682), (4931), (4932) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4933) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_4_11 = n5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4934) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) pred(n5) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4934) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) succ(n5) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (4936) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) all_4_5 = n6 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (4935) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) all_4_9 = n4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4937), (4938) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) sum(n4, n6) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4938) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) sum(n4, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4937) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) sum(n18, n6) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (4939) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) all_4_2 = n10 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n20, n4, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (131), (4940) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) all_4_7 = n24 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n6, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (481), (4941) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) all_4_4 = n24 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4942) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) sum(n10, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4943), (4944) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) sum(n24, n24) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (279), (655), (4945), (4946) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) all_4_11 = n4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4948) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) pred(n4) = all_4_9 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4948) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) succ(n4) = all_4_5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (4950) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) all_4_5 = n5 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (4949) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) all_4_9 = n3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4951), (4952) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) sum(n3, n5) = all_4_2 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4952) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) sum(n3, n20) = all_4_7 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4951) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) sum(n18, n5) = all_4_4 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (4953) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) all_4_2 = n8 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n20, n3, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (105), (4954) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) all_4_7 = n23 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n5, n18, % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (480), (4955) gives: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) all_4_4 = n23 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4956) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) sum(n8, n12) = all_4_0 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4957), (4958) imply: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) sum(n23, n23) = all_4_3 % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (227), (628), (4959), (4960) are % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77. % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4961) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) all_4_11 = n3 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4962) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) pred(n3) = all_4_9 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4962) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) succ(n3) = all_4_5 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (4964) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) all_4_5 = n4 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (4963) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) all_4_9 = n2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4965), (4966) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) sum(n2, n4) = all_4_2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4966) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) sum(n2, n20) = all_4_7 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4965) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) sum(n18, n4) = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (4967) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) all_4_2 = n6 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n20, n2, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (79), (4968) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) all_4_7 = n22 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n4, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (479), (4969) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) all_4_4 = n22 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4970) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) sum(n6, n12) = all_4_0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4971), (4972) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) sum(n22, n22) = all_4_3 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (175), (601), (4973), (4974) are % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76. % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4975) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) all_4_11 = n2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4976) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) pred(n2) = all_4_9 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4976) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) succ(n2) = all_4_5 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (4978) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) all_4_5 = n3 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (4977) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) all_4_9 = n1 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4979), (4980) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) sum(n1, n3) = all_4_2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4980) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) sum(n1, n20) = all_4_7 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4979) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) sum(n18, n3) = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (4981) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) all_4_2 = n4 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n20, n1, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (4982) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) all_4_7 = n21 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n3, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (478), (4983) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) all_4_4 = n21 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4984) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) sum(n4, n12) = all_4_0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4985), (4986) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) sum(n21, n21) = all_4_3 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (123), (574), (4987), (4988) are % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #75. % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) all_4_11 = n1 | all_4_11 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4989) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) all_4_11 = n1 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4990) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) pred(n1) = all_4_9 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4990) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) succ(n1) = all_4_5 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (4992) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4993) all_4_5 = n2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (4991) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4994) all_4_9 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4993), (4994) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995) sum(n0, n2) = all_4_2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (4994) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996) sum(n0, n20) = all_4_7 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (4993) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997) sum(n18, n2) = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (4995) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4998) all_4_2 = n2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n20, n0, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (27), (4996) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4999) all_4_7 = n20 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n2, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (477), (4997) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000) all_4_4 = n20 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4998) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001) sum(n2, n12) = all_4_0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4999), (5000) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5002) sum(n20, n20) = all_4_3 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (71), (547), (5001), (5002) are % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74. % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5003) all_4_11 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5003) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5004) pred(n0) = all_4_9 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5003) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5005) succ(n0) = all_4_5 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (5005) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006) all_4_5 = n1 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (5004) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5007) all_4_9 = n25 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5006), (5007) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008) sum(n25, n1) = all_4_2 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4761), (5007) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5009) sum(n25, n20) = all_4_7 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4759), (5006) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5010) sum(n18, n1) = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n1, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (476), (5010) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5011) all_4_4 = n19 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (5008) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5012) all_4_2 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n20, n25, % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (677), (5009) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5013) all_4_7 = n19 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (5012) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5014) sum(n0, n12) = all_4_0 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5011), (5013) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5015) sum(n19, n19) = all_4_3 % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (520), (5014), (5015) are % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73. % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | End of split % 189.54/27.21 | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | Case 2: % 189.54/27.21 | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | (5016) all_4_10 = n18 | all_4_10 = n17 | all_4_10 = n16 | % 189.54/27.21 | | | | | | | | | | | | | | | all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.54/27.21 | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.54/27.21 | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.54/27.21 | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.54/27.21 | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.54/27.21 | | | | | | | | | | | | | | | all_4_10 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | BETA: splitting (4753) gives: % 189.54/27.21 | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | Case 1: % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | (5017) all_4_11 = n18 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | REDUCE: (743), (5017) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | (5018) pred(n18) = all_4_9 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | REDUCE: (715), (5017) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | (5019) succ(n18) = all_4_5 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_5, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | simplifying with (707), (5019) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | (5020) all_4_5 = n19 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_9, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | simplifying with (735), (5018) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | (5021) all_4_9 = n17 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | REDUCE: (687), (5020) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | (5022) sum(all_4_6, n19) = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | REDUCE: (684), (5020), (5021) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | (5023) sum(n17, n19) = all_4_2 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | REDUCE: (683), (5021) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | (5024) sum(n17, all_4_8) = all_4_7 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n19, n17, % 189.54/27.21 | | | | | | | | | | | | | | | | simplifying with (468), (5023) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | (5025) all_4_2 = n10 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | REDUCE: (688), (5025) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | (5026) sum(n10, all_4_1) = all_4_0 % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | BETA: splitting (5016) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | Case 1: % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | (5027) all_4_10 = n18 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | REDUCE: (744), (5027) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5028) pred(n18) = all_4_6 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | REDUCE: (716), (5027) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5029) succ(n18) = all_4_8 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | | simplifying with (707), (5029) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5030) all_4_8 = n19 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 189.54/27.21 | | | | | | | | | | | | | | | | | simplifying with (735), (5028) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5031) all_4_6 = n17 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | REDUCE: (686), (5030), (5031) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5032) sum(n17, n19) = all_4_1 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | REDUCE: (5022), (5031) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5033) sum(n17, n19) = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | REDUCE: (5024), (5030) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5034) sum(n17, n19) = all_4_7 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n19, n17, % 189.54/27.21 | | | | | | | | | | | | | | | | | simplifying with (468), (5033) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5035) all_4_4 = n10 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n19, n17, % 189.54/27.21 | | | | | | | | | | | | | | | | | simplifying with (5032), (5033) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5036) all_4_1 = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n19, n17, % 189.54/27.21 | | | | | | | | | | | | | | | | | simplifying with (5032), (5034) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | (5037) all_4_1 = all_4_7 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (685), (5026), (5035), (5036), % 189.54/27.21 | | | | | | | | | | | | | | | | | (5037) are inconsistent by sub-proof #72. % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | Case 2: % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | (5038) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 189.54/27.21 | | | | | | | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.54/27.21 | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.54/27.21 | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.54/27.21 | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.54/27.21 | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | BETA: splitting (5038) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | Case 1: % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5039) all_4_10 = n17 % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (744), (5039) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5040) pred(n17) = all_4_6 % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (716), (5039) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5041) succ(n17) = all_4_8 % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 189.54/27.21 | | | | | | | | | | | | | | | | | | simplifying with (706), (5041) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5042) all_4_8 = n18 % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 189.54/27.21 | | | | | | | | | | | | | | | | | | simplifying with (734), (5040) gives: % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5043) all_4_6 = n16 % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (686), (5042), (5043) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5044) sum(n16, n18) = all_4_1 % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5043) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5045) sum(n16, n19) = all_4_4 % 189.54/27.21 | | | | | | | | | | | | | | | | | | % 189.54/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5042) imply: % 189.54/27.21 | | | | | | | | | | | | | | | | | | (5046) sum(n17, n18) = all_4_7 % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 189.73/27.21 | | | | | | | | | | | | | | | | | | simplifying with (441), (5044) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | (5047) all_4_1 = n8 % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n19, n16, % 189.73/27.21 | | | | | | | | | | | | | | | | | | simplifying with (442), (5045) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | (5048) all_4_4 = n9 % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n18, n17, % 189.73/27.21 | | | | | | | | | | | | | | | | | | simplifying with (467), (5046) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | (5049) all_4_7 = n9 % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (275), (685), (5026), (5047), % 189.73/27.21 | | | | | | | | | | | | | | | | | | (5048), (5049) are inconsistent by sub-proof #71. % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | (5050) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | BETA: splitting (5050) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5051) all_4_10 = n16 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5051) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5052) pred(n16) = all_4_6 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5051) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5053) succ(n16) = all_4_8 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | simplifying with (705), (5053) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5054) all_4_8 = n17 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | simplifying with (733), (5052) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5055) all_4_6 = n15 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5054), (5055) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5056) sum(n15, n17) = all_4_1 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5055) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5057) sum(n15, n19) = all_4_4 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5054) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5058) sum(n17, n17) = all_4_7 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | simplifying with (414), (5056) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5059) all_4_1 = n6 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n19, n15, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | simplifying with (416), (5057) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5060) all_4_4 = n8 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n17, n17, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | simplifying with (466), (5058) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5061) all_4_7 = n8 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (273), (685), (5026), (5059), % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5060), (5061) are inconsistent by sub-proof #70. % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | (5062) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (5062) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5063) all_4_10 = n15 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5063) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5064) pred(n15) = all_4_6 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5063) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5065) succ(n15) = all_4_8 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | simplifying with (704), (5065) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5066) all_4_8 = n16 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | simplifying with (732), (5064) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5067) all_4_6 = n14 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5066), (5067) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5068) sum(n14, n16) = all_4_1 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5067) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5069) sum(n14, n19) = all_4_4 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5066) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5070) sum(n17, n16) = all_4_7 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | simplifying with (387), (5068) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5071) all_4_1 = n4 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n19, n14, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | simplifying with (390), (5069) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5072) all_4_4 = n7 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n16, n17, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | simplifying with (465), (5070) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5073) all_4_7 = n7 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (271), (685), (5026), (5071), % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5072), (5073) are inconsistent by sub-proof #69. % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | (5074) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5074) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5075) all_4_10 = n14 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5075) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5076) pred(n14) = all_4_6 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5075) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5077) succ(n14) = all_4_8 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (5077) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5078) all_4_8 = n15 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (5076) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5079) all_4_6 = n13 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5078), (5079) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5080) sum(n13, n15) = all_4_1 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5079) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5081) sum(n13, n19) = all_4_4 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5078) imply: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5082) sum(n17, n15) = all_4_7 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (5080) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5083) all_4_1 = n2 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n19, n13, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | simplifying with (364), (5081) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5084) all_4_4 = n6 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n15, n17, % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | simplifying with (464), (5082) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5085) all_4_7 = n6 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (269), (685), (5026), (5083), % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5084), (5085) are inconsistent by sub-proof #68. % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | (5086) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5086) gives: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | | (5087) all_4_10 = n13 % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.21 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5087) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5088) pred(n13) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5087) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5089) succ(n13) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (5089) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5090) all_4_8 = n14 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (5088) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5091) all_4_6 = n12 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5090), (5091) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5092) sum(n12, n14) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5091) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5093) sum(n12, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5090) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5094) sum(n17, n14) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (5092) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5095) all_4_1 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n19, n12, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (338), (5093) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5096) all_4_4 = n5 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n14, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (463), (5094) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5097) all_4_7 = n5 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (267), (685), (5026), (5095), % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5096), (5097) are inconsistent by sub-proof #67. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | (5098) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5098) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5099) all_4_10 = n12 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5099) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5100) pred(n12) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5099) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5101) succ(n12) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (5101) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5102) all_4_8 = n13 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (5100) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5103) all_4_6 = n11 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5102), (5103) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5104) sum(n11, n13) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5103) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5105) sum(n11, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5102) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5106) sum(n17, n13) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (5104) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5107) all_4_1 = n24 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n19, n11, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (312), (5105) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5108) all_4_4 = n4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n13, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (462), (5106) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5109) all_4_7 = n4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5108), (5109) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5110) sum(n4, n4) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5107) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5111) sum(n10, n24) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (291), (5110), (5111) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #294. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | (5112) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5112) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5113) all_4_10 = n11 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5113) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5114) pred(n11) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5113) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5115) succ(n11) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (5115) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5116) all_4_8 = n12 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (5114) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5117) all_4_6 = n10 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5116), (5117) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5118) sum(n10, n12) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5117) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5119) sum(n10, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5116) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5120) sum(n17, n12) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (5118) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_4_1 = n22 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n19, n10, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (286), (5119) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5122) all_4_4 = n3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n12, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (461), (5120) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5123) all_4_7 = n3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5122), (5123) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5124) sum(n3, n3) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5121) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5125) sum(n10, n22) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (289), (5124), (5125) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #248. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (5126) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5126) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5127) all_4_10 = n10 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5127) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5128) pred(n10) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5127) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5129) succ(n10) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (5129) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5130) all_4_8 = n11 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (5128) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5131) all_4_6 = n9 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5130), (5131) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5132) sum(n9, n11) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5131) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5133) sum(n9, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5130) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5134) sum(n17, n11) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (5132) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5135) all_4_1 = n20 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n19, n9, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (260), (5133) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5136) all_4_4 = n2 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n11, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (460), (5134) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5137) all_4_7 = n2 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5136), (5137) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5138) sum(n2, n2) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5135) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5139) sum(n10, n20) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (287), (5138), (5139) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5140) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5140) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) all_4_10 = n9 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5141) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) pred(n9) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5141) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) succ(n9) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (5143) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) all_4_8 = n10 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (5142) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) all_4_6 = n8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5144), (5145) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) sum(n8, n10) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5145) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) sum(n8, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5144) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) sum(n17, n10) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (5146) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) all_4_1 = n18 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n19, n8, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (5147) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) all_4_4 = n1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n10, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (459), (5148) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) all_4_7 = n1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5150), (5151) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) sum(n1, n1) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5149) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) sum(n10, n18) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (285), (5152), (5153) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #168. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5154) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_4_10 = n8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5155) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) pred(n8) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5155) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) succ(n8) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (5157) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) all_4_8 = n9 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (5156) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) all_4_6 = n7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5158), (5159) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) sum(n7, n9) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5159) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) sum(n7, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5158) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) sum(n17, n9) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (5160) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) all_4_1 = n16 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n19, n7, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (208), (5161) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) all_4_4 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n9, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (458), (5162) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) all_4_7 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5164), (5165) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) sum(n0, n0) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5163) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) sum(n10, n16) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (283), (5166), (5167) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5168) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) all_4_10 = n7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5169) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) pred(n7) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5169) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) succ(n7) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (5171) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) all_4_8 = n8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (5170) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) all_4_6 = n6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5172), (5173) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) sum(n6, n8) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5173) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) sum(n6, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5172) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) sum(n17, n8) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (5174) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) all_4_1 = n14 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n19, n6, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (182), (5175) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) all_4_4 = n25 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n8, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (457), (5176) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) all_4_7 = n25 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5178), (5179) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) sum(n25, n25) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5177) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) sum(n10, n14) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (281), (682), (5180), (5181) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5182) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) all_4_10 = n6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5183) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) pred(n6) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5183) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) succ(n6) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (5185) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) all_4_8 = n7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (5184) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) all_4_6 = n5 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5186), (5187) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) sum(n5, n7) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5187) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) sum(n5, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5186) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) sum(n17, n7) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (5188) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) all_4_1 = n12 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n19, n5, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (156), (5189) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) all_4_4 = n24 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n7, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (456), (5190) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_4_7 = n24 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5192), (5193) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) sum(n24, n24) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5191) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) sum(n10, n12) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (279), (655), (5194), (5195) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5196) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) all_4_10 = n5 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5197) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) pred(n5) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5197) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) succ(n5) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (5199) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) all_4_8 = n6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (5198) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) all_4_6 = n4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5200), (5201) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) sum(n4, n6) = all_4_1 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5201) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) sum(n4, n19) = all_4_4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5200) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) sum(n17, n6) = all_4_7 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5202) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) all_4_1 = n10 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n19, n4, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (130), (5203) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) all_4_4 = n23 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n6, n17, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (455), (5204) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_4_7 = n23 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5206), (5207) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) sum(n23, n23) = all_4_3 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5205) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) sum(n10, n10) = all_4_0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (628), (5208), (5209) are % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66. % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5210) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_4_10 = n4 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5211) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) pred(n4) = all_4_6 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5211) imply: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) succ(n4) = all_4_8 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (5213) gives: % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) all_4_8 = n5 % 189.73/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (5212) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) all_4_6 = n3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5214), (5215) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) sum(n3, n5) = all_4_1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5215) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) sum(n3, n19) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5214) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) sum(n17, n5) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (5216) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) all_4_1 = n8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n19, n3, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (104), (5217) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_4_4 = n22 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n5, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (454), (5218) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_4_7 = n22 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5220), (5221) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) sum(n22, n22) = all_4_3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5219) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) sum(n10, n8) = all_4_0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (275), (601), (5222), (5223) are % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5224) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) all_4_10 = n3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5225) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) pred(n3) = all_4_6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5225) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) succ(n3) = all_4_8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (5227) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_4_8 = n4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (5226) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) all_4_6 = n2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5228), (5229) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) sum(n2, n4) = all_4_1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5229) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) sum(n2, n19) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5228) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) sum(n17, n4) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (5230) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) all_4_1 = n6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n19, n2, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (5231) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_4_4 = n21 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n4, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (453), (5232) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) all_4_7 = n21 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5234), (5235) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) sum(n21, n21) = all_4_3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5233) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) sum(n10, n6) = all_4_0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (273), (574), (5236), (5237) are % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5238) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) all_4_10 = n2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5239) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) pred(n2) = all_4_6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5239) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) succ(n2) = all_4_8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (5241) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) all_4_8 = n3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (5240) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) all_4_6 = n1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5242), (5243) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) sum(n1, n3) = all_4_1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5243) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) sum(n1, n19) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5242) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) sum(n17, n3) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (5244) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) all_4_1 = n4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n19, n1, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (5245) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) all_4_4 = n20 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n3, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (452), (5246) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) all_4_7 = n20 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5248), (5249) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) sum(n20, n20) = all_4_3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5247) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) sum(n10, n4) = all_4_0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (271), (547), (5250), (5251) are % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_4_10 = n1 | all_4_10 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5252) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_4_10 = n1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5253) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) pred(n1) = all_4_6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5253) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) succ(n1) = all_4_8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (5255) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) all_4_8 = n2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (5254) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) all_4_6 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5256), (5257) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) sum(n0, n2) = all_4_1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5257) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) sum(n0, n19) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5256) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) sum(n17, n2) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (5258) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) all_4_1 = n2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n19, n0, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (5259) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) all_4_4 = n19 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n2, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (451), (5260) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) all_4_7 = n19 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5262), (5263) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) sum(n19, n19) = all_4_3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5261) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) sum(n10, n2) = all_4_0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (269), (520), (5264), (5265) are % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) all_4_10 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5266) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) pred(n0) = all_4_6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5266) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) succ(n0) = all_4_8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (5268) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) all_4_8 = n1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (5267) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) all_4_6 = n25 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5269), (5270) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) sum(n25, n1) = all_4_1 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5022), (5270) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) sum(n25, n19) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5269) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) sum(n17, n1) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n1, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (450), (5273) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) all_4_7 = n18 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (5271) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) all_4_1 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n19, n25, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (676), (5272) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) all_4_4 = n18 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5274), (5276) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) sum(n18, n18) = all_4_3 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5275) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) sum(n10, n0) = all_4_0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (267), (493), (5277), (5278) are % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #61. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | End of split % 189.73/27.23 | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | (5279) all_4_11 = n17 | all_4_11 = n16 | all_4_11 = n15 | % 189.73/27.23 | | | | | | | | | | | | | | | | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.73/27.23 | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.73/27.23 | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.73/27.23 | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.73/27.23 | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | BETA: splitting (5016) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | (5280) all_4_10 = n18 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | REDUCE: (744), (5280) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5281) pred(n18) = all_4_6 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | REDUCE: (716), (5280) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5282) succ(n18) = all_4_8 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n19, all_4_8, n18, % 189.73/27.23 | | | | | | | | | | | | | | | | | simplifying with (707), (5282) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5283) all_4_8 = n19 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n17, all_4_6, n18, % 189.73/27.23 | | | | | | | | | | | | | | | | | simplifying with (735), (5281) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5284) all_4_6 = n17 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | REDUCE: (687), (5284) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5285) sum(n17, all_4_5) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | REDUCE: (686), (5283), (5284) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5286) sum(n17, n19) = all_4_1 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | REDUCE: (683), (5283) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5287) sum(all_4_9, n19) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n19, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | simplifying with (468), (5286) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5288) all_4_1 = n10 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | REDUCE: (688), (5288) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | (5289) sum(all_4_2, n10) = all_4_0 % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | BETA: splitting (5279) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5290) all_4_11 = n17 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | REDUCE: (743), (5290) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5291) pred(n17) = all_4_9 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | REDUCE: (715), (5290) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5292) succ(n17) = all_4_5 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | simplifying with (706), (5292) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5293) all_4_5 = n18 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | simplifying with (734), (5291) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5294) all_4_9 = n16 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | REDUCE: (684), (5293), (5294) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5295) sum(n16, n18) = all_4_2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5294) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5296) sum(n16, n19) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5293) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5297) sum(n17, n18) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 189.73/27.23 | | | | | | | | | | | | | | | | | | simplifying with (441), (5295) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5298) all_4_2 = n8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n19, n16, % 189.73/27.23 | | | | | | | | | | | | | | | | | | simplifying with (442), (5296) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5299) all_4_7 = n9 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n18, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | simplifying with (467), (5297) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5300) all_4_4 = n9 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (225), (250), (685), (5289), (5298), % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5299), (5300) are inconsistent by sub-proof #60. % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | (5301) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | BETA: splitting (5301) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5302) all_4_11 = n16 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5302) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5303) pred(n16) = all_4_9 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5302) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5304) succ(n16) = all_4_5 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | simplifying with (705), (5304) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5305) all_4_5 = n17 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | simplifying with (733), (5303) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5306) all_4_9 = n15 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5305), (5306) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5307) sum(n15, n17) = all_4_2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5306) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5308) sum(n15, n19) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5305) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5309) sum(n17, n17) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | simplifying with (414), (5307) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5310) all_4_2 = n6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n19, n15, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | simplifying with (416), (5308) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5311) all_4_7 = n8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n17, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | simplifying with (466), (5309) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5312) all_4_4 = n8 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (173), (223), (685), (5289), (5310), % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5311), (5312) are inconsistent by sub-proof #59. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | (5313) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (5313) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5314) all_4_11 = n15 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5314) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5315) pred(n15) = all_4_9 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5314) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5316) succ(n15) = all_4_5 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | simplifying with (704), (5316) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5317) all_4_5 = n16 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | simplifying with (732), (5315) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5318) all_4_9 = n14 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5317), (5318) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5319) sum(n14, n16) = all_4_2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5318) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5320) sum(n14, n19) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5317) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5321) sum(n17, n16) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | simplifying with (387), (5319) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5322) all_4_2 = n4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n19, n14, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | simplifying with (390), (5320) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5323) all_4_7 = n7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n16, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | simplifying with (465), (5321) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5324) all_4_4 = n7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (121), (196), (685), (5289), (5322), % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5323), (5324) are inconsistent by sub-proof #58. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | (5325) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5325) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5326) all_4_11 = n14 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5326) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5327) pred(n14) = all_4_9 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5326) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5328) succ(n14) = all_4_5 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (5328) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5329) all_4_5 = n15 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (5327) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5330) all_4_9 = n13 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5329), (5330) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5331) sum(n13, n15) = all_4_2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5330) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5332) sum(n13, n19) = all_4_7 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5329) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5333) sum(n17, n15) = all_4_4 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (5331) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5334) all_4_2 = n2 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n19, n13, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (364), (5332) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5335) all_4_7 = n6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n15, n17, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (464), (5333) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5336) all_4_4 = n6 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (69), (169), (685), (5289), (5334), % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5335), (5336) are inconsistent by sub-proof #57. % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | (5337) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5337) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | (5338) all_4_11 = n13 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5338) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | (5339) pred(n13) = all_4_9 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5338) imply: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | (5340) succ(n13) = all_4_5 % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (5340) gives: % 189.73/27.23 | | | | | | | | | | | | | | | | | | | | | | (5341) all_4_5 = n14 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (5339) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5342) all_4_9 = n12 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5341), (5342) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5343) sum(n12, n14) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5342) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5344) sum(n12, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5341) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5345) sum(n17, n14) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (5343) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5346) all_4_2 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n19, n12, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (338), (5344) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5347) all_4_7 = n5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n14, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (463), (5345) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5348) all_4_4 = n5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (142), (685), (5289), (5346), % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5347), (5348) are inconsistent by sub-proof #56. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | (5349) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5349) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5350) all_4_11 = n12 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5350) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5351) pred(n12) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5350) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5352) succ(n12) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (5352) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5353) all_4_5 = n13 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (5351) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5354) all_4_9 = n11 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5353), (5354) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5355) sum(n11, n13) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5354) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5356) sum(n11, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5353) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5357) sum(n17, n13) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (5355) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5358) all_4_2 = n24 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n19, n11, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (312), (5356) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5359) all_4_7 = n4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n13, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (462), (5357) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5360) all_4_4 = n4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5358) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5361) sum(n24, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5359), (5360) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5362) sum(n4, n4) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (641), (5361), (5362) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #318. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | (5363) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5363) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5364) all_4_11 = n11 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5364) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5365) pred(n11) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5364) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5366) succ(n11) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (5366) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_4_5 = n12 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (5365) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_4_9 = n10 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5367), (5368) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5369) sum(n10, n12) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5368) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5370) sum(n10, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5367) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5371) sum(n17, n12) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (5369) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5372) all_4_2 = n22 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n19, n10, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (286), (5370) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5373) all_4_7 = n3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n12, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (461), (5371) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_4_4 = n3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5372) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5375) sum(n22, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5373), (5374) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5376) sum(n3, n3) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (589), (5375), (5376) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | (5377) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5377) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5378) all_4_11 = n10 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5378) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5379) pred(n10) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5378) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5380) succ(n10) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (5380) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_4_5 = n11 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (5379) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_4_9 = n9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5381), (5382) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5383) sum(n9, n11) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5382) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5384) sum(n9, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5381) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5385) sum(n17, n11) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (5383) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5386) all_4_2 = n20 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n19, n9, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (260), (5384) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5387) all_4_7 = n2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n11, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (460), (5385) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_4_4 = n2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5386) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5389) sum(n20, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5387), (5388) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5390) sum(n2, n2) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (537), (5389), (5390) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5391) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5391) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_4_11 = n9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5392) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) pred(n9) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5392) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) succ(n9) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (5394) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_4_5 = n10 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (5393) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_4_9 = n8 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5395), (5396) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) sum(n8, n10) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5396) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) sum(n8, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5395) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) sum(n17, n10) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (5397) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_4_2 = n18 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n19, n8, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (5398) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) all_4_7 = n1 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n10, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (459), (5399) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) all_4_4 = n1 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5400) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) sum(n18, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5401), (5402) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) sum(n1, n1) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (485), (5403), (5404) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5405) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_4_11 = n8 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5406) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) pred(n8) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5406) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) succ(n8) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (5408) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_4_5 = n9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (5407) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) all_4_9 = n7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5409), (5410) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) sum(n7, n9) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5410) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) sum(n7, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5409) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) sum(n17, n9) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (5411) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_4_2 = n16 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n19, n7, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (208), (5412) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_4_7 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n9, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (458), (5413) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) all_4_4 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5414) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) sum(n16, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5415), (5416) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) sum(n0, n0) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (433), (5417), (5418) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #150. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5419) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) all_4_11 = n7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5420) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) pred(n7) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5420) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) succ(n7) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (5422) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_4_5 = n8 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (5421) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_4_9 = n6 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5423), (5424) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) sum(n6, n8) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5424) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) sum(n6, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5423) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) sum(n17, n8) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (5425) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) all_4_2 = n14 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n19, n6, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (182), (5426) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) all_4_7 = n25 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n8, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (457), (5427) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) all_4_4 = n25 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5428) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) sum(n14, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5429), (5430) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) sum(n25, n25) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (381), (682), (5431), (5432) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #118. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5433) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_4_11 = n6 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5434) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) pred(n6) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5434) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) succ(n6) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (5436) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) all_4_5 = n7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (5435) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) all_4_9 = n5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5437), (5438) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) sum(n5, n7) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5438) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) sum(n5, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5437) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) sum(n17, n7) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (5439) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_4_2 = n12 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n19, n5, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (156), (5440) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) all_4_7 = n24 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n7, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (456), (5441) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) all_4_4 = n24 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5442) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) sum(n12, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5443), (5444) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) sum(n24, n24) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (329), (655), (5445), (5446) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5447) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) all_4_11 = n5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5448) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) pred(n5) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5448) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) succ(n5) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (5450) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) all_4_5 = n6 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (5449) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) all_4_9 = n4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5451), (5452) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) sum(n4, n6) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5452) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) sum(n4, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5451) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) sum(n17, n6) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5453) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) all_4_2 = n10 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n19, n4, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (130), (5454) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) all_4_7 = n23 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n6, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (455), (5455) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_4_4 = n23 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5456) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) sum(n10, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5457), (5458) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) sum(n23, n23) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (628), (5459), (5460) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5461) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) all_4_11 = n4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5462) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) pred(n4) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5462) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) succ(n4) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (5464) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) all_4_5 = n5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (5463) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) all_4_9 = n3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5465), (5466) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) sum(n3, n5) = all_4_2 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5466) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) sum(n3, n19) = all_4_7 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5465) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5469) sum(n17, n5) = all_4_4 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (5467) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470) all_4_2 = n8 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n19, n3, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (104), (5468) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471) all_4_7 = n22 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n5, n17, % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (454), (5469) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472) all_4_4 = n22 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5470) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473) sum(n8, n10) = all_4_0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5471), (5472) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5474) sum(n22, n22) = all_4_3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (225), (601), (5473), (5474) are % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55. % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5475) gives: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476) all_4_11 = n3 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5476) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5477) pred(n3) = all_4_9 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5476) imply: % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478) succ(n3) = all_4_5 % 189.73/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (5478) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) all_4_5 = n4 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (5477) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) all_4_9 = n2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5479), (5480) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) sum(n2, n4) = all_4_2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5480) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) sum(n2, n19) = all_4_7 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5479) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) sum(n17, n4) = all_4_4 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (5481) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) all_4_2 = n6 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n19, n2, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (5482) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) all_4_7 = n21 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n4, n17, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (453), (5483) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) all_4_4 = n21 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5484) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) sum(n6, n10) = all_4_0 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5485), (5486) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) sum(n21, n21) = all_4_3 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (173), (574), (5487), (5488) are % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54. % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5489) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) all_4_11 = n2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5490) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) pred(n2) = all_4_9 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5490) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) succ(n2) = all_4_5 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (5492) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) all_4_5 = n3 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (5491) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) all_4_9 = n1 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5493), (5494) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) sum(n1, n3) = all_4_2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5494) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) sum(n1, n19) = all_4_7 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5493) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) sum(n17, n3) = all_4_4 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (5495) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) all_4_2 = n4 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n19, n1, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (5496) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) all_4_7 = n20 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n3, n17, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (452), (5497) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) all_4_4 = n20 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5498) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) sum(n4, n10) = all_4_0 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5499), (5500) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) sum(n20, n20) = all_4_3 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (121), (547), (5501), (5502) are % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53. % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_4_11 = n1 | all_4_11 = n0 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5503) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) all_4_11 = n1 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5504) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) pred(n1) = all_4_9 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5504) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) succ(n1) = all_4_5 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (5506) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) all_4_5 = n2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (5505) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) all_4_9 = n0 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5507), (5508) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) sum(n0, n2) = all_4_2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5508) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) sum(n0, n19) = all_4_7 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5507) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) sum(n17, n2) = all_4_4 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (5509) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) all_4_2 = n2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n19, n0, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (5510) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) all_4_7 = n19 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n2, n17, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (451), (5511) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) all_4_4 = n19 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5512) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) sum(n2, n10) = all_4_0 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5513), (5514) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) sum(n19, n19) = all_4_3 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (69), (520), (5515), (5516) are % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52. % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) all_4_11 = n0 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5517) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) pred(n0) = all_4_9 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5517) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) succ(n0) = all_4_5 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (5519) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) all_4_5 = n1 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (5518) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) all_4_9 = n25 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5520), (5521) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) sum(n25, n1) = all_4_2 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5287), (5521) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) sum(n25, n19) = all_4_7 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5285), (5520) imply: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) sum(n17, n1) = all_4_4 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n1, n17, % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (450), (5524) gives: % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) all_4_4 = n18 % 189.73/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (5522) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) all_4_2 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n19, n25, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (676), (5523) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) all_4_7 = n18 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5526) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) sum(n0, n10) = all_4_0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5525), (5527) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) sum(n18, n18) = all_4_3 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (493), (5528), (5529) are % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51. % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | End of split % 189.86/27.25 | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | Case 2: % 189.86/27.25 | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | (5530) all_4_10 = n17 | all_4_10 = n16 | all_4_10 = n15 | % 189.86/27.25 | | | | | | | | | | | | | | | | | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.86/27.25 | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.86/27.25 | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.25 | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.25 | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | BETA: splitting (5279) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5531) all_4_11 = n17 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | REDUCE: (743), (5531) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5532) pred(n17) = all_4_9 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | REDUCE: (715), (5531) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5533) succ(n17) = all_4_5 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_5, n17, % 189.86/27.25 | | | | | | | | | | | | | | | | | | simplifying with (706), (5533) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5534) all_4_5 = n18 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_9, n17, % 189.86/27.25 | | | | | | | | | | | | | | | | | | simplifying with (734), (5532) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5535) all_4_9 = n16 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | REDUCE: (687), (5534) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5536) sum(all_4_6, n18) = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | REDUCE: (684), (5534), (5535) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5537) sum(n16, n18) = all_4_2 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | REDUCE: (683), (5535) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5538) sum(n16, all_4_8) = all_4_7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n18, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | simplifying with (441), (5537) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5539) all_4_2 = n8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | REDUCE: (688), (5539) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | (5540) sum(n8, all_4_1) = all_4_0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | BETA: splitting (5530) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5541) all_4_10 = n17 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5541) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5542) pred(n17) = all_4_6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5541) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5543) succ(n17) = all_4_8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | simplifying with (706), (5543) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5544) all_4_8 = n18 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | simplifying with (734), (5542) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5545) all_4_6 = n16 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5544), (5545) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5546) sum(n16, n18) = all_4_1 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5545) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5547) sum(n16, n18) = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5544) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5548) sum(n16, n18) = all_4_7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n18, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | simplifying with (441), (5547) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5549) all_4_4 = n8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n18, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | simplifying with (5546), (5547) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5550) all_4_1 = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n18, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | simplifying with (5546), (5548) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5551) all_4_1 = all_4_7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (685), (5540), (5549), (5550), % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5551) are inconsistent by sub-proof #50. % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | (5552) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (5552) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5553) all_4_10 = n16 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5553) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5554) pred(n16) = all_4_6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5553) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5555) succ(n16) = all_4_8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | simplifying with (705), (5555) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5556) all_4_8 = n17 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | simplifying with (733), (5554) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5557) all_4_6 = n15 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5556), (5557) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5558) sum(n15, n17) = all_4_1 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5557) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5559) sum(n15, n18) = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5556) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5560) sum(n16, n17) = all_4_7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | simplifying with (414), (5558) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5561) all_4_1 = n6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n18, n15, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | simplifying with (415), (5559) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5562) all_4_4 = n7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n17, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | simplifying with (440), (5560) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5563) all_4_7 = n7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (221), (685), (5540), (5561), % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5562), (5563) are inconsistent by sub-proof #49. % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | (5564) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5564) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5565) all_4_10 = n15 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5565) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5566) pred(n15) = all_4_6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5565) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5567) succ(n15) = all_4_8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (5567) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5568) all_4_8 = n16 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (5566) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5569) all_4_6 = n14 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5568), (5569) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5570) sum(n14, n16) = all_4_1 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5569) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5571) sum(n14, n18) = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5568) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5572) sum(n16, n16) = all_4_7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | simplifying with (387), (5570) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5573) all_4_1 = n4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n18, n14, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | simplifying with (389), (5571) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5574) all_4_4 = n6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n16, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | simplifying with (439), (5572) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5575) all_4_7 = n6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (219), (685), (5540), (5573), % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5574), (5575) are inconsistent by sub-proof #48. % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | (5576) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5576) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5577) all_4_10 = n14 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5577) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5578) pred(n14) = all_4_6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5577) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5579) succ(n14) = all_4_8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (5579) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5580) all_4_8 = n15 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (5578) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5581) all_4_6 = n13 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5580), (5581) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5582) sum(n13, n15) = all_4_1 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5581) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5583) sum(n13, n18) = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5580) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5584) sum(n16, n15) = all_4_7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (5582) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5585) all_4_1 = n2 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n18, n13, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (363), (5583) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5586) all_4_4 = n5 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n15, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | simplifying with (438), (5584) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5587) all_4_7 = n5 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (217), (685), (5540), (5585), % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5586), (5587) are inconsistent by sub-proof #47. % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | (5588) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5588) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5589) all_4_10 = n13 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5589) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5590) pred(n13) = all_4_6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5589) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5591) succ(n13) = all_4_8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (5591) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5592) all_4_8 = n14 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (5590) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5593) all_4_6 = n12 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5592), (5593) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5594) sum(n12, n14) = all_4_1 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5593) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5595) sum(n12, n18) = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5592) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5596) sum(n16, n14) = all_4_7 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (5594) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5597) all_4_1 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n18, n12, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (337), (5595) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5598) all_4_4 = n4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n14, n16, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (437), (5596) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5599) all_4_7 = n4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (215), (685), (5540), (5597), % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5598), (5599) are inconsistent by sub-proof #46. % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | (5600) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5600) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_4_10 = n12 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5601) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | (5602) pred(n12) = all_4_6 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5601) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | (5603) succ(n12) = all_4_8 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (5603) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | (5604) all_4_8 = n13 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (5602) gives: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_4_6 = n11 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5604), (5605) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | (5606) sum(n11, n13) = all_4_1 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5605) imply: % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | (5607) sum(n11, n18) = all_4_4 % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5604) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (5608) sum(n16, n13) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (5606) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (5609) all_4_1 = n24 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n18, n11, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (311), (5607) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (5610) all_4_4 = n3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n13, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (436), (5608) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (5611) all_4_7 = n3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5610), (5611) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (5612) sum(n3, n3) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5609) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (5613) sum(n8, n24) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (239), (5612), (5613) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #293. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (5614) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5614) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5615) all_4_10 = n11 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5615) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5616) pred(n11) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5615) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5617) succ(n11) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (5617) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5618) all_4_8 = n12 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (5616) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5619) all_4_6 = n10 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5618), (5619) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5620) sum(n10, n12) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5619) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5621) sum(n10, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5618) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5622) sum(n16, n12) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (5620) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5623) all_4_1 = n22 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n18, n10, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (285), (5621) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5624) all_4_4 = n2 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n12, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (435), (5622) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_4_7 = n2 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5624), (5625) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5626) sum(n2, n2) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5623) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5627) sum(n8, n22) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (237), (5626), (5627) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #247. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5628) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5628) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) all_4_10 = n10 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5629) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) pred(n10) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5629) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) succ(n10) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (5631) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_4_8 = n11 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (5630) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) all_4_6 = n9 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5632), (5633) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) sum(n9, n11) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5633) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) sum(n9, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5632) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) sum(n16, n11) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (5634) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) all_4_1 = n20 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n18, n9, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (259), (5635) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) all_4_4 = n1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n11, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (434), (5636) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) all_4_7 = n1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5638), (5639) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) sum(n1, n1) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5637) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) sum(n8, n20) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (235), (5640), (5641) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #205. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5642) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_4_10 = n9 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5643) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) pred(n9) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5643) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) succ(n9) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (5645) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_4_8 = n10 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (5644) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_4_6 = n8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5646), (5647) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) sum(n8, n10) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5647) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) sum(n8, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5646) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) sum(n16, n10) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (5648) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) all_4_1 = n18 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n18, n8, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (233), (5649) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_4_4 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n10, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (433), (5650) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) all_4_7 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5652), (5653) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) sum(n0, n0) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5651) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) sum(n8, n18) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (233), (5654), (5655) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #167. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5656) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_4_10 = n8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5657) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) pred(n8) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5657) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) succ(n8) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (5659) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) all_4_8 = n9 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (5658) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) all_4_6 = n7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5660), (5661) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) sum(n7, n9) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5661) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) sum(n7, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5660) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) sum(n16, n9) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (5662) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) all_4_1 = n16 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n18, n7, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (207), (5663) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) all_4_4 = n25 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n9, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (432), (5664) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_4_7 = n25 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5666), (5667) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) sum(n25, n25) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5665) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) sum(n8, n16) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (231), (682), (5668), (5669) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5670) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) all_4_10 = n7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5671) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) pred(n7) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5671) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) succ(n7) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (5673) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) all_4_8 = n8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (5672) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_4_6 = n6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5674), (5675) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) sum(n6, n8) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5675) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) sum(n6, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5674) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) sum(n16, n8) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (5676) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) all_4_1 = n14 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n18, n6, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (181), (5677) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) all_4_4 = n24 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n8, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (431), (5678) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) all_4_7 = n24 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5680), (5681) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) sum(n24, n24) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5679) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) sum(n8, n14) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (229), (655), (5682), (5683) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5684) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_4_10 = n6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5685) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) pred(n6) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5685) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) succ(n6) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (5687) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) all_4_8 = n7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (5686) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_4_6 = n5 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5688), (5689) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) sum(n5, n7) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5689) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) sum(n5, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5688) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) sum(n16, n7) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (5690) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) all_4_1 = n12 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n18, n5, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (155), (5691) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) all_4_4 = n23 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n7, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (430), (5692) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) all_4_7 = n23 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5694), (5695) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) sum(n23, n23) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5693) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) sum(n8, n12) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (227), (628), (5696), (5697) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5698) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) all_4_10 = n5 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5699) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) pred(n5) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5699) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) succ(n5) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (5701) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) all_4_8 = n6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (5700) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_4_6 = n4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5702), (5703) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) sum(n4, n6) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5703) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) sum(n4, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5702) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) sum(n16, n6) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5704) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) all_4_1 = n10 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n18, n4, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (129), (5705) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) all_4_4 = n22 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n6, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (429), (5706) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_4_7 = n22 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5708), (5709) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) sum(n22, n22) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5707) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) sum(n8, n10) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (225), (601), (5710), (5711) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) all_4_10 = n4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5713) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) pred(n4) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5713) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) succ(n4) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (5715) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) all_4_8 = n5 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (5714) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) all_4_6 = n3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5716), (5717) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) sum(n3, n5) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5717) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) sum(n3, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5716) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) sum(n16, n5) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (5718) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_4_1 = n8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n18, n3, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (103), (5719) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_4_4 = n21 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n5, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (428), (5720) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) all_4_7 = n21 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5722), (5723) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) sum(n21, n21) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5721) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) sum(n8, n8) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (574), (5724), (5725) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5726) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) all_4_10 = n3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5727) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) pred(n3) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5727) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) succ(n3) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (5729) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) all_4_8 = n4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (5728) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) all_4_6 = n2 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5730), (5731) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) sum(n2, n4) = all_4_1 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5731) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) sum(n2, n18) = all_4_4 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5730) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) sum(n16, n4) = all_4_7 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (5732) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_4_1 = n6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n18, n2, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (5733) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) all_4_4 = n20 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n4, n16, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (427), (5734) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_4_7 = n20 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5736), (5737) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) sum(n20, n20) = all_4_3 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5735) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) sum(n8, n6) = all_4_0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (221), (547), (5738), (5739) are % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44. % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5740) gives: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) all_4_10 = n2 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5741) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) pred(n2) = all_4_6 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5741) imply: % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) succ(n2) = all_4_8 % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 189.86/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (5743) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) all_4_8 = n3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (5742) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) all_4_6 = n1 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5744), (5745) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) sum(n1, n3) = all_4_1 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5745) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) sum(n1, n18) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5744) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) sum(n16, n3) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (5746) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) all_4_1 = n4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n18, n1, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (5747) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) all_4_4 = n19 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n3, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (426), (5748) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) all_4_7 = n19 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5750), (5751) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) sum(n19, n19) = all_4_3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5749) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) sum(n8, n4) = all_4_0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (219), (520), (5752), (5753) are % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #43. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_4_10 = n1 | all_4_10 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5754) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) all_4_10 = n1 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5755) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) pred(n1) = all_4_6 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5755) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) succ(n1) = all_4_8 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (5757) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) all_4_8 = n2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (5756) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) all_4_6 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5758), (5759) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) sum(n0, n2) = all_4_1 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5759) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) sum(n0, n18) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5758) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) sum(n16, n2) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (5760) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_4_1 = n2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n18, n0, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (5761) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_4_4 = n18 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n2, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (425), (5762) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) all_4_7 = n18 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5764), (5765) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) sum(n18, n18) = all_4_3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5763) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) sum(n8, n2) = all_4_0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (217), (493), (5766), (5767) are % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) all_4_10 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5768) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) pred(n0) = all_4_6 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5768) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) succ(n0) = all_4_8 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (5770) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) all_4_8 = n1 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (5769) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_4_6 = n25 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5771), (5772) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) sum(n25, n1) = all_4_1 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5536), (5772) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) sum(n25, n18) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5538), (5771) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) sum(n16, n1) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n1, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (424), (5775) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) all_4_7 = n17 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (5773) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) all_4_1 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n18, n25, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (675), (5774) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) all_4_4 = n17 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5776), (5778) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) sum(n17, n17) = all_4_3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5540), (5777) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) sum(n8, n0) = all_4_0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (215), (466), (5779), (5780) are % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | End of split % 189.86/27.27 | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | (5781) all_4_11 = n16 | all_4_11 = n15 | all_4_11 = n14 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | BETA: splitting (5530) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5782) all_4_10 = n17 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5782) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5783) pred(n17) = all_4_6 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (716), (5782) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5784) succ(n17) = all_4_8 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n18, all_4_8, n17, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | simplifying with (706), (5784) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5785) all_4_8 = n18 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n16, all_4_6, n17, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | simplifying with (734), (5783) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5786) all_4_6 = n16 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (687), (5786) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5787) sum(n16, all_4_5) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5785), (5786) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5788) sum(n16, n18) = all_4_1 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (683), (5785) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5789) sum(all_4_9, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n18, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | simplifying with (441), (5788) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5790) all_4_1 = n8 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (688), (5790) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | (5791) sum(all_4_2, n8) = all_4_0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (5781) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5792) all_4_11 = n16 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5792) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5793) pred(n16) = all_4_9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5792) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5794) succ(n16) = all_4_5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | simplifying with (705), (5794) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5795) all_4_5 = n17 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | simplifying with (733), (5793) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5796) all_4_9 = n15 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5795), (5796) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5797) sum(n15, n17) = all_4_2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5796) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5798) sum(n15, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5795) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5799) sum(n16, n17) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | simplifying with (414), (5797) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5800) all_4_2 = n6 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n18, n15, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | simplifying with (415), (5798) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5801) all_4_7 = n7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n17, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | simplifying with (440), (5799) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5802) all_4_4 = n7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (171), (196), (685), (5791), (5800), % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5801), (5802) are inconsistent by sub-proof #40. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | (5803) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5803) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5804) all_4_11 = n15 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5804) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5805) pred(n15) = all_4_9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5804) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5806) succ(n15) = all_4_5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (5806) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5807) all_4_5 = n16 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (5805) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5808) all_4_9 = n14 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5807), (5808) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5809) sum(n14, n16) = all_4_2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5808) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5810) sum(n14, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5807) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5811) sum(n16, n16) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | simplifying with (387), (5809) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5812) all_4_2 = n4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n18, n14, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | simplifying with (389), (5810) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5813) all_4_7 = n6 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n16, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | simplifying with (439), (5811) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5814) all_4_4 = n6 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (119), (169), (685), (5791), (5812), % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5813), (5814) are inconsistent by sub-proof #39. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | (5815) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5815) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5816) all_4_11 = n14 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5816) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5817) pred(n14) = all_4_9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5816) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5818) succ(n14) = all_4_5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (5818) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5819) all_4_5 = n15 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (5817) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5820) all_4_9 = n13 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5819), (5820) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5821) sum(n13, n15) = all_4_2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5820) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5822) sum(n13, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5819) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5823) sum(n16, n15) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (5821) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5824) all_4_2 = n2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n18, n13, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | simplifying with (363), (5822) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5825) all_4_7 = n5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n15, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | simplifying with (438), (5823) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5826) all_4_4 = n5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (67), (142), (685), (5791), (5824), % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5825), (5826) are inconsistent by sub-proof #38. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | (5827) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5827) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5828) all_4_11 = n13 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5828) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5829) pred(n13) = all_4_9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5828) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5830) succ(n13) = all_4_5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (5830) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5831) all_4_5 = n14 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (5829) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5832) all_4_9 = n12 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5831), (5832) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5833) sum(n12, n14) = all_4_2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5832) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5834) sum(n12, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5831) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5835) sum(n16, n14) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (5833) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5836) all_4_2 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n18, n12, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (337), (5834) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5837) all_4_7 = n4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n14, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (437), (5835) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5838) all_4_4 = n4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (115), (685), (5791), (5836), % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5837), (5838) are inconsistent by sub-proof #37. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | (5839) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5839) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5840) all_4_11 = n12 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5840) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5841) pred(n12) = all_4_9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5840) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5842) succ(n12) = all_4_5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (5842) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5843) all_4_5 = n13 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (5841) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5844) all_4_9 = n11 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5843), (5844) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5845) sum(n11, n13) = all_4_2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5844) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5846) sum(n11, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5843) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5847) sum(n16, n13) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (5845) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5848) all_4_2 = n24 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n18, n11, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (311), (5846) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5849) all_4_7 = n3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n13, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (436), (5847) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5850) all_4_4 = n3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5848) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5851) sum(n24, n8) = all_4_0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5849), (5850) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5852) sum(n3, n3) = all_4_3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (639), (5851), (5852) are % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #317. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (5853) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5853) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5854) all_4_11 = n11 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5854) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5855) pred(n11) = all_4_9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5854) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5856) succ(n11) = all_4_5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (5856) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5857) all_4_5 = n12 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (5855) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5858) all_4_9 = n10 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5857), (5858) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5859) sum(n10, n12) = all_4_2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5858) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5860) sum(n10, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5857) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5861) sum(n16, n12) = all_4_4 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (5859) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5862) all_4_2 = n22 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n18, n10, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (285), (5860) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5863) all_4_7 = n2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n12, n16, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (435), (5861) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5864) all_4_4 = n2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5862) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5865) sum(n22, n8) = all_4_0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5863), (5864) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5866) sum(n2, n2) = all_4_3 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (587), (5865), (5866) are % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #269. % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (5867) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5867) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5868) all_4_11 = n10 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5868) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5869) pred(n10) = all_4_9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5868) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5870) succ(n10) = all_4_5 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (5870) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_4_5 = n11 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (5869) gives: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5872) all_4_9 = n9 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5871), (5872) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5873) sum(n9, n11) = all_4_2 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5872) imply: % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5874) sum(n9, n18) = all_4_7 % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5871) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) sum(n16, n11) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (5873) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) all_4_2 = n20 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n18, n9, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (259), (5874) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5877) all_4_7 = n1 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n11, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (434), (5875) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) all_4_4 = n1 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5876) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) sum(n20, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5877), (5878) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) sum(n1, n1) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (535), (5879), (5880) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5881) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) all_4_11 = n9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5882) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) pred(n9) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5882) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) succ(n9) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (5884) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) all_4_5 = n10 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (5883) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) all_4_9 = n8 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5885), (5886) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) sum(n8, n10) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5886) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) sum(n8, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5885) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) sum(n16, n10) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (5887) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) all_4_2 = n18 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n18, n8, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (233), (5888) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) all_4_7 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n10, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (433), (5889) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) all_4_4 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5890) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) sum(n18, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5891), (5892) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5894) sum(n0, n0) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (483), (5893), (5894) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #185. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5895) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5895) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5896) all_4_11 = n8 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5896) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5897) pred(n8) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5896) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) succ(n8) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (5898) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) all_4_5 = n9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (5897) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) all_4_9 = n7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5899), (5900) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) sum(n7, n9) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5900) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) sum(n7, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5899) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) sum(n16, n9) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (5901) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) all_4_2 = n16 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n18, n7, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (207), (5902) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) all_4_7 = n25 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n9, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (432), (5903) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) all_4_4 = n25 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5904) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) sum(n16, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5905), (5906) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) sum(n25, n25) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (431), (682), (5907), (5908) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5909) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) all_4_11 = n7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5910) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) pred(n7) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5910) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) succ(n7) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (5912) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) all_4_5 = n8 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (5911) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) all_4_9 = n6 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5913), (5914) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) sum(n6, n8) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5914) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) sum(n6, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5913) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) sum(n16, n8) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (5915) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) all_4_2 = n14 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n18, n6, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (181), (5916) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) all_4_7 = n24 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n8, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (431), (5917) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_4_4 = n24 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5918) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) sum(n14, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5919), (5920) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) sum(n24, n24) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (379), (655), (5921), (5922) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #117. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5923) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_4_11 = n6 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5924) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) pred(n6) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5924) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) succ(n6) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (5926) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) all_4_5 = n7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (5925) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) all_4_9 = n5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5927), (5928) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5929) sum(n5, n7) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5928) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930) sum(n5, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5927) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5931) sum(n16, n7) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (5929) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_4_2 = n12 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n18, n5, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (155), (5930) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) all_4_7 = n23 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n7, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (430), (5931) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) all_4_4 = n23 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5932) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) sum(n12, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5933), (5934) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) sum(n23, n23) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (327), (628), (5935), (5936) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5937) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_4_11 = n5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5938) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) pred(n5) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5938) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) succ(n5) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (5940) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) all_4_5 = n6 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (5939) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) all_4_9 = n4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5941), (5942) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) sum(n4, n6) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5942) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) sum(n4, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5941) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) sum(n16, n6) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (5943) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) all_4_2 = n10 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n18, n4, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (129), (5944) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_4_7 = n22 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n6, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (429), (5945) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_4_4 = n22 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5946) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) sum(n10, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5947), (5948) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) sum(n22, n22) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (275), (601), (5949), (5950) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5951) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) all_4_11 = n4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5952) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) pred(n4) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5952) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) succ(n4) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (5954) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) all_4_5 = n5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (5953) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_4_9 = n3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5955), (5956) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) sum(n3, n5) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5956) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) sum(n3, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5955) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) sum(n16, n5) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (5957) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) all_4_2 = n8 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n18, n3, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (103), (5958) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) all_4_7 = n21 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n5, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (428), (5959) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) all_4_4 = n21 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5960) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) sum(n8, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5961), (5962) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) sum(n21, n21) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (574), (5963), (5964) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5965) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) all_4_11 = n3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5966) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) pred(n3) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5966) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) succ(n3) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (5968) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) all_4_5 = n4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (5967) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) all_4_9 = n2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5969), (5970) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) sum(n2, n4) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5970) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) sum(n2, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5969) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) sum(n16, n4) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (5971) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) all_4_2 = n6 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n18, n2, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (5972) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) all_4_7 = n20 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n4, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (427), (5973) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) all_4_4 = n20 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5974) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) sum(n6, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5975), (5976) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) sum(n20, n20) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (171), (547), (5977), (5978) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #36. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5979) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_4_11 = n2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5980) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) pred(n2) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5980) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) succ(n2) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (5982) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) all_4_5 = n3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (5981) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) all_4_9 = n1 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5983), (5984) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) sum(n1, n3) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5984) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) sum(n1, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5983) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) sum(n16, n3) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (5985) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) all_4_2 = n4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n18, n1, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (5986) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) all_4_7 = n19 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n3, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (426), (5987) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) all_4_4 = n19 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (5988) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) sum(n4, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (5989), (5990) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) sum(n19, n19) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (119), (520), (5991), (5992) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) all_4_11 = n1 | all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5993) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) all_4_11 = n1 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5994) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) pred(n1) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (5994) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) succ(n1) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (5996) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) all_4_5 = n2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (5995) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) all_4_9 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5997), (5998) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) sum(n0, n2) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (5998) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) sum(n0, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (5997) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) sum(n16, n2) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (5999) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_4_2 = n2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n18, n0, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (6000) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_4_7 = n18 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n2, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (425), (6001) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) all_4_4 = n18 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (6002) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) sum(n2, n8) = all_4_0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6003), (6004) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) sum(n18, n18) = all_4_3 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (67), (493), (6005), (6006) are % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34. % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) all_4_11 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6007) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) pred(n0) = all_4_9 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6007) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) succ(n0) = all_4_5 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (6009) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) all_4_5 = n1 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (6008) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) all_4_9 = n25 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6010), (6011) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) sum(n25, n1) = all_4_2 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5789), (6011) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) sum(n25, n18) = all_4_7 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5787), (6010) imply: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) sum(n16, n1) = all_4_4 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n1, n16, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (424), (6014) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) all_4_4 = n17 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (6012) gives: % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_4_2 = n0 % 189.86/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n18, n25, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (675), (6013) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) all_4_7 = n17 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5791), (6016) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) sum(n0, n8) = all_4_0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6015), (6017) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) sum(n17, n17) = all_4_3 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (466), (6018), (6019) are % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.29 | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | (6020) all_4_10 = n16 | all_4_10 = n15 | all_4_10 = n14 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (5781) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6021) all_4_11 = n16 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6021) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6022) pred(n16) = all_4_9 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6021) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6023) succ(n16) = all_4_5 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_5, n16, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | simplifying with (705), (6023) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6024) all_4_5 = n17 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n16, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | simplifying with (733), (6022) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6025) all_4_9 = n15 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (6024) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6026) sum(all_4_6, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6024), (6025) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6027) sum(n15, n17) = all_4_2 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (6025) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6028) sum(n15, all_4_8) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n17, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | simplifying with (414), (6027) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6029) all_4_2 = n6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (6029) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | (6030) sum(n6, all_4_1) = all_4_0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6020) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6031) all_4_10 = n16 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6031) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6032) pred(n16) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6031) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6033) succ(n16) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | simplifying with (705), (6033) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6034) all_4_8 = n17 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | simplifying with (733), (6032) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6035) all_4_6 = n15 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6034), (6035) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6036) sum(n15, n17) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6035) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6037) sum(n15, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6034) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6038) sum(n15, n17) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n17, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | simplifying with (414), (6037) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6039) all_4_4 = n6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n17, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | simplifying with (6036), (6037) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6040) all_4_1 = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n17, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | simplifying with (6036), (6038) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6041) all_4_1 = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (685), (6030), (6039), (6040), % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6041) are inconsistent by sub-proof #32. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | (6042) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6042) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6043) all_4_10 = n15 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6043) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6044) pred(n15) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6043) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6045) succ(n15) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (6045) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6046) all_4_8 = n16 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (6044) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6047) all_4_6 = n14 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6046), (6047) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6048) sum(n14, n16) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6047) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6049) sum(n14, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6046) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6050) sum(n15, n16) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | simplifying with (387), (6048) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6051) all_4_1 = n4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n17, n14, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | simplifying with (388), (6049) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6052) all_4_4 = n5 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n16, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | simplifying with (413), (6050) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6053) all_4_7 = n5 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (167), (685), (6030), (6051), % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6052), (6053) are inconsistent by sub-proof #31. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | (6054) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6054) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6055) all_4_10 = n14 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6055) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6056) pred(n14) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6055) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6057) succ(n14) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (6057) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6058) all_4_8 = n15 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (6056) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6059) all_4_6 = n13 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6058), (6059) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6060) sum(n13, n15) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6059) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6061) sum(n13, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6058) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6062) sum(n15, n15) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (6060) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6063) all_4_1 = n2 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n17, n13, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (362), (6061) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6064) all_4_4 = n4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n15, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (412), (6062) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6065) all_4_7 = n4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (165), (685), (6030), (6063), % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6064), (6065) are inconsistent by sub-proof #30. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | (6066) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6066) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_4_10 = n13 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6067) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6068) pred(n13) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6067) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6069) succ(n13) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (6069) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6070) all_4_8 = n14 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (6068) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_4_6 = n12 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6070), (6071) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6072) sum(n12, n14) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6071) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6073) sum(n12, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6070) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6074) sum(n15, n14) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (6072) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6075) all_4_1 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n17, n12, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (336), (6073) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6076) all_4_4 = n3 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n14, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (411), (6074) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6077) all_4_7 = n3 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (163), (685), (6030), (6075), % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6076), (6077) are inconsistent by sub-proof #29. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6078) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6079) all_4_10 = n12 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6079) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6080) pred(n12) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6079) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6081) succ(n12) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (6081) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6082) all_4_8 = n13 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (6080) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6083) all_4_6 = n11 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6082), (6083) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6084) sum(n11, n13) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6083) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6085) sum(n11, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6082) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6086) sum(n15, n13) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (6084) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6087) all_4_1 = n24 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n17, n11, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (310), (6085) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6088) all_4_4 = n2 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n13, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (410), (6086) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6089) all_4_7 = n2 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6088), (6089) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6090) sum(n2, n2) = all_4_3 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6087) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6091) sum(n6, n24) = all_4_0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (187), (6090), (6091) are % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #292. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6092) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6092) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) all_4_10 = n11 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6093) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6094) pred(n11) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6093) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6095) succ(n11) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (6095) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6096) all_4_8 = n12 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (6094) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6097) all_4_6 = n10 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6096), (6097) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6098) sum(n10, n12) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6097) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6099) sum(n10, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6096) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6100) sum(n15, n12) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (6098) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6101) all_4_1 = n22 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n17, n10, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (284), (6099) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6102) all_4_4 = n1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n12, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (409), (6100) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6103) all_4_7 = n1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6102), (6103) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6104) sum(n1, n1) = all_4_3 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6101) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6105) sum(n6, n22) = all_4_0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (185), (6104), (6105) are % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #246. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6106) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6106) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107) all_4_10 = n10 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6107) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6108) pred(n10) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6107) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) succ(n10) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (6109) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) all_4_8 = n11 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (6108) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) all_4_6 = n9 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6110), (6111) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) sum(n9, n11) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6111) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) sum(n9, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6110) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) sum(n15, n11) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (6112) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) all_4_1 = n20 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n17, n9, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (258), (6113) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_4_4 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n11, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (408), (6114) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) all_4_7 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6116), (6117) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) sum(n0, n0) = all_4_3 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6115) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) sum(n6, n20) = all_4_0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (183), (6118), (6119) are % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #204. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6120) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) all_4_10 = n9 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6121) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) pred(n9) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6121) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) succ(n9) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (6123) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) all_4_8 = n10 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (6122) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) all_4_6 = n8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6124), (6125) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) sum(n8, n10) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6125) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) sum(n8, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6124) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) sum(n15, n10) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (6126) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) all_4_1 = n18 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n17, n8, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (6127) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) all_4_4 = n25 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n10, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (407), (6128) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) all_4_7 = n25 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6130), (6131) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) sum(n25, n25) = all_4_3 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6129) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) sum(n6, n18) = all_4_0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (181), (682), (6132), (6133) are % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #166. % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6134) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6135) all_4_10 = n8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6135) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) pred(n8) = all_4_6 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6135) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) succ(n8) = all_4_8 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (6137) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) all_4_8 = n9 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (6136) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) all_4_6 = n7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6138), (6139) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) sum(n7, n9) = all_4_1 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6139) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) sum(n7, n17) = all_4_4 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6138) imply: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) sum(n15, n9) = all_4_7 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (6140) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) all_4_1 = n16 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n17, n7, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (206), (6141) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) all_4_4 = n24 % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n9, n15, % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (406), (6142) gives: % 189.86/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_4_7 = n24 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6144), (6145) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) sum(n24, n24) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6143) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) sum(n6, n16) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (179), (655), (6146), (6147) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6148) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) all_4_10 = n7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6149) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) pred(n7) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6149) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) succ(n7) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (6151) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) all_4_8 = n8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (6150) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) all_4_6 = n6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6152), (6153) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) sum(n6, n8) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6153) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) sum(n6, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6152) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) sum(n15, n8) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (6154) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) all_4_1 = n14 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n17, n6, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (180), (6155) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) all_4_4 = n23 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n8, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (405), (6156) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) all_4_7 = n23 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6158), (6159) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) sum(n23, n23) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6157) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) sum(n6, n14) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (177), (628), (6160), (6161) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6162) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) all_4_10 = n6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6163) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) pred(n6) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6163) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) succ(n6) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (6165) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) all_4_8 = n7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (6164) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) all_4_6 = n5 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6166), (6167) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) sum(n5, n7) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6167) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) sum(n5, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6166) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) sum(n15, n7) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (6168) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_4_1 = n12 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n17, n5, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (154), (6169) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) all_4_4 = n22 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n7, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (404), (6170) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) all_4_7 = n22 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6172), (6173) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) sum(n22, n22) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6171) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) sum(n6, n12) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (175), (601), (6174), (6175) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6176) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) all_4_10 = n5 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6177) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) pred(n5) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6177) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) succ(n5) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (6179) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_4_8 = n6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (6178) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_4_6 = n4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6180), (6181) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) sum(n4, n6) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6181) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) sum(n4, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6180) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) sum(n15, n6) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (6182) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) all_4_1 = n10 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n17, n4, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (128), (6183) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) all_4_4 = n21 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n6, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (403), (6184) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_4_7 = n21 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6186), (6187) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) sum(n21, n21) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6185) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) sum(n6, n10) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (173), (574), (6188), (6189) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6190) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_4_10 = n4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6191) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) pred(n4) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6191) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) succ(n4) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (6193) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) all_4_8 = n5 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (6192) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_4_6 = n3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6194), (6195) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) sum(n3, n5) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6195) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) sum(n3, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6194) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) sum(n15, n5) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (6196) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) all_4_1 = n8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n17, n3, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (6197) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) all_4_4 = n20 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n5, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (402), (6198) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_4_7 = n20 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6200), (6201) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) sum(n20, n20) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6199) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) sum(n6, n8) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (171), (547), (6202), (6203) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #36. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6204) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) all_4_10 = n3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6205) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) pred(n3) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6205) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) succ(n3) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (6207) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_4_8 = n4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (6206) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_4_6 = n2 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6208), (6209) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) sum(n2, n4) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6209) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) sum(n2, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6208) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) sum(n15, n4) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (6210) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_4_1 = n6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n17, n2, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (6211) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) all_4_4 = n19 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n4, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (401), (6212) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) all_4_7 = n19 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6214), (6215) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) sum(n19, n19) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6213) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) sum(n6, n6) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (520), (6216), (6217) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6218) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_4_10 = n2 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6219) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) pred(n2) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6219) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) succ(n2) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (6221) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) all_4_8 = n3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (6220) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) all_4_6 = n1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6222), (6223) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) sum(n1, n3) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6223) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) sum(n1, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6222) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) sum(n15, n3) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (6224) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_4_1 = n4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n17, n1, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (6225) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) all_4_4 = n18 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n3, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (400), (6226) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_4_7 = n18 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6228), (6229) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) sum(n18, n18) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6227) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) sum(n6, n4) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (167), (493), (6230), (6231) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_4_10 = n1 | all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6232) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_4_10 = n1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6233) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) pred(n1) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6233) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) succ(n1) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (6235) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) all_4_8 = n2 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (6234) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) all_4_6 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6236), (6237) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) sum(n0, n2) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6237) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) sum(n0, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6236) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) sum(n15, n2) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (6238) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) all_4_1 = n2 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n17, n0, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (6239) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) all_4_4 = n17 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n2, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (399), (6240) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_4_7 = n17 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6242), (6243) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) sum(n17, n17) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6241) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) sum(n6, n2) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (165), (466), (6244), (6245) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_4_10 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6246) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) pred(n0) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6246) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) succ(n0) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (6248) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) all_4_8 = n1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (6247) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_4_6 = n25 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6249), (6250) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) sum(n25, n1) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6026), (6250) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) sum(n25, n17) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6028), (6249) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) sum(n15, n1) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n1, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (398), (6253) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_4_7 = n16 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (6251) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_4_1 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n17, n25, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (674), (6252) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) all_4_4 = n16 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6254), (6256) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) sum(n16, n16) = all_4_3 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6255) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) sum(n6, n0) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (163), (439), (6257), (6258) are % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | (6259) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6020) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6260) all_4_10 = n16 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6260) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6261) pred(n16) = all_4_6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6260) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6262) succ(n16) = all_4_8 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n17, all_4_8, n16, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (705), (6262) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6263) all_4_8 = n17 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n16, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (733), (6261) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6264) all_4_6 = n15 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (6264) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6265) sum(n15, all_4_5) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6263), (6264) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6266) sum(n15, n17) = all_4_1 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (6263) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6267) sum(all_4_9, n17) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n17, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (414), (6266) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6268) all_4_1 = n6 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (6268) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | (6269) sum(all_4_2, n6) = all_4_0 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6259) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6270) all_4_11 = n15 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6270) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6271) pred(n15) = all_4_9 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6270) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6272) succ(n15) = all_4_5 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (6272) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6273) all_4_5 = n16 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (6271) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6274) all_4_9 = n14 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6273), (6274) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6275) sum(n14, n16) = all_4_2 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6274) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6276) sum(n14, n17) = all_4_7 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6273) imply: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6277) sum(n15, n16) = all_4_4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | simplifying with (387), (6275) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6278) all_4_2 = n4 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n17, n14, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | simplifying with (388), (6276) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6279) all_4_7 = n5 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n16, n15, % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | simplifying with (413), (6277) gives: % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6280) all_4_4 = n5 % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (117), (142), (685), (6269), (6278), % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | (6279), (6280) are inconsistent by sub-proof #24. % 189.86/27.30 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | (6281) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6281) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6282) all_4_11 = n14 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6282) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6283) pred(n14) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6282) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6284) succ(n14) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (6284) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6285) all_4_5 = n15 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (6283) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6286) all_4_9 = n13 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6285), (6286) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6287) sum(n13, n15) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6286) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6288) sum(n13, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6285) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6289) sum(n15, n15) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (6287) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6290) all_4_2 = n2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n17, n13, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (362), (6288) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6291) all_4_7 = n4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n15, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (412), (6289) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6292) all_4_4 = n4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (65), (115), (685), (6269), (6290), % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6291), (6292) are inconsistent by sub-proof #23. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | (6293) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6293) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6294) all_4_11 = n13 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6294) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6295) pred(n13) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6294) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6296) succ(n13) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (6296) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6297) all_4_5 = n14 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (6295) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_4_9 = n12 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6297), (6298) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6299) sum(n12, n14) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6298) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6300) sum(n12, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6297) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6301) sum(n15, n14) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (6299) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_4_2 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n17, n12, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (336), (6300) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_4_7 = n3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n14, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (411), (6301) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6304) all_4_4 = n3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (88), (685), (6269), (6302), % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6303), (6304) are inconsistent by sub-proof #22. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (6305) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6305) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_4_11 = n12 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6306) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6307) pred(n12) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6306) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6308) succ(n12) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (6308) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_4_5 = n13 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (6307) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_4_9 = n11 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6309), (6310) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6311) sum(n11, n13) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6310) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6312) sum(n11, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6309) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6313) sum(n15, n13) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (6311) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_4_2 = n24 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n17, n11, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (310), (6312) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6315) all_4_7 = n2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n13, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (410), (6313) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_4_4 = n2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6314) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6317) sum(n24, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6315), (6316) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6318) sum(n2, n2) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (637), (6317), (6318) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6319) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_4_11 = n11 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6320) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) pred(n11) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6320) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) succ(n11) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (6322) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_4_5 = n12 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (6321) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_4_9 = n10 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6323), (6324) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) sum(n10, n12) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6324) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) sum(n10, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6323) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) sum(n15, n12) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (6325) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_4_2 = n22 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n17, n10, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (284), (6326) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_4_7 = n1 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n12, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (409), (6327) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) all_4_4 = n1 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6328) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) sum(n22, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6329), (6330) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) sum(n1, n1) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (585), (6331), (6332) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #268. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6333) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_4_11 = n10 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6334) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) pred(n10) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6334) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) succ(n10) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (6336) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) all_4_5 = n11 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (6335) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) all_4_9 = n9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6337), (6338) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) sum(n9, n11) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6338) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) sum(n9, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6337) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) sum(n15, n11) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (6339) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) all_4_2 = n20 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n17, n9, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (258), (6340) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_4_7 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n11, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (408), (6341) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) all_4_4 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6342) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) sum(n20, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6343), (6344) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) sum(n0, n0) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (533), (6345), (6346) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #224. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6347) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) all_4_11 = n9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6348) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) pred(n9) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6348) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) succ(n9) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (6350) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_4_5 = n10 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (6349) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_4_9 = n8 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6351), (6352) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) sum(n8, n10) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6352) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) sum(n8, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6351) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) sum(n15, n10) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (6353) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_4_2 = n18 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n17, n8, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (6354) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_4_7 = n25 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n10, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (407), (6355) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_4_4 = n25 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6356) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) sum(n18, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6357), (6358) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) sum(n25, n25) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (481), (682), (6359), (6360) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6361) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) all_4_11 = n8 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6362) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) pred(n8) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6362) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) succ(n8) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (6364) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) all_4_5 = n9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (6363) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_4_9 = n7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6365), (6366) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) sum(n7, n9) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6366) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) sum(n7, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6365) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) sum(n15, n9) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (6367) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) all_4_2 = n16 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n17, n7, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (206), (6368) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) all_4_7 = n24 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n9, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (406), (6369) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) all_4_4 = n24 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6370) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6373) sum(n16, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6371), (6372) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6374) sum(n24, n24) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (429), (655), (6373), (6374) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6375) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6375) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6376) all_4_11 = n7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6376) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) pred(n7) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6376) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6378) succ(n7) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (6378) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6379) all_4_5 = n8 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (6377) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6380) all_4_9 = n6 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6379), (6380) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381) sum(n6, n8) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6380) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6382) sum(n6, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6379) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6383) sum(n15, n8) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (6381) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6384) all_4_2 = n14 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n17, n6, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (180), (6382) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6385) all_4_7 = n23 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n8, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (405), (6383) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6386) all_4_4 = n23 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6384) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387) sum(n14, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6385), (6386) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6388) sum(n23, n23) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (377), (628), (6387), (6388) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6389) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6390) all_4_11 = n6 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6390) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6391) pred(n6) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6390) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392) succ(n6) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (6392) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6393) all_4_5 = n7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (6391) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6394) all_4_9 = n5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6393), (6394) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6395) sum(n5, n7) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6394) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6396) sum(n5, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6393) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6397) sum(n15, n7) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (6395) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6398) all_4_2 = n12 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n17, n5, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (154), (6396) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6399) all_4_7 = n22 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n7, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (404), (6397) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6400) all_4_4 = n22 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6398) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6401) sum(n12, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6399), (6400) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6402) sum(n22, n22) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (325), (601), (6401), (6402) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #88. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6403) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404) all_4_11 = n5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6404) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6405) pred(n5) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6404) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6406) succ(n5) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (6406) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6407) all_4_5 = n6 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (6405) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6408) all_4_9 = n4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6407), (6408) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409) sum(n4, n6) = all_4_2 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6408) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6410) sum(n4, n17) = all_4_7 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6407) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6411) sum(n15, n6) = all_4_4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (6409) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6412) all_4_2 = n10 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n17, n4, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (128), (6410) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413) all_4_7 = n21 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n6, n15, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (403), (6411) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6414) all_4_4 = n21 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6412) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415) sum(n10, n6) = all_4_0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6413), (6414) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416) sum(n21, n21) = all_4_3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (273), (574), (6415), (6416) are % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6417) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6417) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6418) all_4_11 = n4 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6418) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6419) pred(n4) = all_4_9 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6418) imply: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420) succ(n4) = all_4_5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (6420) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6421) all_4_5 = n5 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (6419) gives: % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6422) all_4_9 = n3 % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6421), (6422) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6423) sum(n3, n5) = all_4_2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6422) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6424) sum(n3, n17) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6421) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6425) sum(n15, n5) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (6423) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6426) all_4_2 = n8 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n17, n3, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (102), (6424) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6427) all_4_7 = n20 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n5, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (402), (6425) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6428) all_4_4 = n20 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6426) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6429) sum(n8, n6) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6427), (6428) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6430) sum(n20, n20) = all_4_3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (221), (547), (6429), (6430) are % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6431) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6431) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6432) all_4_11 = n3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6432) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6433) pred(n3) = all_4_9 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6432) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6434) succ(n3) = all_4_5 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (6434) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6435) all_4_5 = n4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (6433) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6436) all_4_9 = n2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6435), (6436) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6437) sum(n2, n4) = all_4_2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6436) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6438) sum(n2, n17) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6435) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) sum(n15, n4) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (6437) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) all_4_2 = n6 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n17, n2, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (6438) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) all_4_7 = n19 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n4, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (401), (6439) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) all_4_4 = n19 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6440) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) sum(n6, n6) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6441), (6442) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) sum(n19, n19) = all_4_3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (520), (6443), (6444) are % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6445) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_4_11 = n2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6446) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) pred(n2) = all_4_9 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6446) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) succ(n2) = all_4_5 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (6448) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) all_4_5 = n3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (6447) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) all_4_9 = n1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6449), (6450) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) sum(n1, n3) = all_4_2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6450) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6452) sum(n1, n17) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6449) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) sum(n15, n3) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (6451) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) all_4_2 = n4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n17, n1, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (6452) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) all_4_7 = n18 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n3, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (400), (6453) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) all_4_4 = n18 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6454) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) sum(n4, n6) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6455), (6456) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) sum(n18, n18) = all_4_3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (117), (493), (6457), (6458) are % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459) all_4_11 = n1 | all_4_11 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6459) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460) all_4_11 = n1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6460) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6461) pred(n1) = all_4_9 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6460) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462) succ(n1) = all_4_5 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (6462) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) all_4_5 = n2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (6461) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) all_4_9 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6463), (6464) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) sum(n0, n2) = all_4_2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6464) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) sum(n0, n17) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6463) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) sum(n15, n2) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (6465) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) all_4_2 = n2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n17, n0, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (6466) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) all_4_7 = n17 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n2, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (399), (6467) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) all_4_4 = n17 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6468) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) sum(n2, n6) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6469), (6470) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) sum(n17, n17) = all_4_3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (65), (466), (6471), (6472) are % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) all_4_11 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6473) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) pred(n0) = all_4_9 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6473) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) succ(n0) = all_4_5 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (6475) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) all_4_5 = n1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (6474) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) all_4_9 = n25 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6476), (6477) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) sum(n25, n1) = all_4_2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6267), (6477) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) sum(n25, n17) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6476) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) sum(n15, n1) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n1, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (398), (6480) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) all_4_4 = n16 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (6478) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) all_4_2 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n17, n25, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (674), (6479) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) all_4_7 = n16 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6482) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) sum(n0, n6) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6481), (6483) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) sum(n16, n16) = all_4_3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (439), (6484), (6485) are % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | (6486) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6259) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6487) all_4_11 = n15 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6487) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6488) pred(n15) = all_4_9 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6487) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6489) succ(n15) = all_4_5 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_5, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (6489) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6490) all_4_5 = n16 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (6488) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6491) all_4_9 = n14 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (6490) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6492) sum(all_4_6, n16) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6490), (6491) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6493) sum(n14, n16) = all_4_2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (6491) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6494) sum(n14, all_4_8) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n16, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | simplifying with (387), (6493) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6495) all_4_2 = n4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (6495) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | (6496) sum(n4, all_4_1) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6486) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6497) all_4_10 = n15 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6497) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6498) pred(n15) = all_4_6 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6497) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6499) succ(n15) = all_4_8 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (6499) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6500) all_4_8 = n16 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (6498) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6501) all_4_6 = n14 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6500), (6501) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6502) sum(n14, n16) = all_4_1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6501) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6503) sum(n14, n16) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6500) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6504) sum(n14, n16) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n16, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (387), (6503) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6505) all_4_4 = n4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n16, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6502), (6503) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6506) all_4_1 = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n16, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6502), (6504) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6507) all_4_1 = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (685), (6496), (6505), (6506), % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6507) are inconsistent by sub-proof #18. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | (6508) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6508) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_4_10 = n14 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6509) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6510) pred(n14) = all_4_6 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6509) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6511) succ(n14) = all_4_8 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (6511) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_4_8 = n15 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (6510) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_4_6 = n13 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6512), (6513) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6514) sum(n13, n15) = all_4_1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6513) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6515) sum(n13, n16) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6512) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6516) sum(n14, n15) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (6514) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_4_1 = n2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n16, n13, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (361), (6515) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_4_4 = n3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n15, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (386), (6516) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6519) all_4_7 = n3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (113), (685), (6496), (6517), % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6518), (6519) are inconsistent by sub-proof #17. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6520) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_4_10 = n13 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6521) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6522) pred(n13) = all_4_6 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6521) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6523) succ(n13) = all_4_8 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (6523) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_4_8 = n14 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (6522) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_4_6 = n12 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6524), (6525) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6526) sum(n12, n14) = all_4_1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6525) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6527) sum(n12, n16) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6524) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6528) sum(n14, n14) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (6526) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_4_1 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n16, n12, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (335), (6527) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6530) all_4_4 = n2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n14, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (385), (6528) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6531) all_4_7 = n2 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (111), (685), (6496), (6529), % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6530), (6531) are inconsistent by sub-proof #16. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6532) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) all_4_10 = n12 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6533) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) pred(n12) = all_4_6 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6533) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) succ(n12) = all_4_8 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (6535) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) all_4_8 = n13 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (6534) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) all_4_6 = n11 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6536), (6537) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) sum(n11, n13) = all_4_1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6537) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) sum(n11, n16) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6536) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) sum(n14, n13) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (6538) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) all_4_1 = n24 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n16, n11, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (309), (6539) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) all_4_4 = n1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n13, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (384), (6540) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) all_4_7 = n1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6542), (6543) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) sum(n1, n1) = all_4_3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6541) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) sum(n4, n24) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (135), (6544), (6545) are % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #291. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6546) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) all_4_10 = n11 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6547) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) pred(n11) = all_4_6 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6547) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) succ(n11) = all_4_8 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (6549) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_4_8 = n12 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (6548) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_4_6 = n10 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6550), (6551) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) sum(n10, n12) = all_4_1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6551) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) sum(n10, n16) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6550) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) sum(n14, n12) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (6552) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_4_1 = n22 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n16, n10, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (283), (6553) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_4_4 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n12, n14, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (383), (6554) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_4_7 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6556), (6557) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) sum(n0, n0) = all_4_3 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6555) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) sum(n4, n22) = all_4_0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (133), (6558), (6559) are % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #245. % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6560) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_4_10 = n10 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6561) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) pred(n10) = all_4_6 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6561) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) succ(n10) = all_4_8 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (6563) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) all_4_8 = n11 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (6562) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) all_4_6 = n9 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6564), (6565) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) sum(n9, n11) = all_4_1 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6565) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) sum(n9, n16) = all_4_4 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6564) imply: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) sum(n14, n11) = all_4_7 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (6566) gives: % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) all_4_1 = n20 % 189.86/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n16, n9, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (257), (6567) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) all_4_4 = n25 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n11, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (382), (6568) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) all_4_7 = n25 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6570), (6571) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) sum(n25, n25) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6569) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) sum(n4, n20) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (131), (682), (6572), (6573) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #203. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6574) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) all_4_10 = n9 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6575) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) pred(n9) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6575) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) succ(n9) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (6577) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) all_4_8 = n10 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (6576) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_4_6 = n8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6578), (6579) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) sum(n8, n10) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6579) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) sum(n8, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6578) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) sum(n14, n10) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (6580) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_4_1 = n18 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n16, n8, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (6581) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) all_4_4 = n24 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n10, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (381), (6582) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) all_4_7 = n24 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6584), (6585) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) sum(n24, n24) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6583) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) sum(n4, n18) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (129), (655), (6586), (6587) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #165. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6588) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6588) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6589) all_4_10 = n8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6589) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590) pred(n8) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6589) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6591) succ(n8) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (6591) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592) all_4_8 = n9 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (6590) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593) all_4_6 = n7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6592), (6593) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6594) sum(n7, n9) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6593) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6595) sum(n7, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6592) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6596) sum(n14, n9) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (6594) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6597) all_4_1 = n16 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n16, n7, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (205), (6595) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598) all_4_4 = n23 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n9, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (380), (6596) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599) all_4_7 = n23 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6598), (6599) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600) sum(n23, n23) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6597) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6601) sum(n4, n16) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (127), (628), (6600), (6601) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #131. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6602) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6602) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6603) all_4_10 = n7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6603) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6604) pred(n7) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6603) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6605) succ(n7) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (6605) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6606) all_4_8 = n8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (6604) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607) all_4_6 = n6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6606), (6607) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6608) sum(n6, n8) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6607) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6609) sum(n6, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6606) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6610) sum(n14, n8) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (6608) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6611) all_4_1 = n14 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n16, n6, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (179), (6609) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) all_4_4 = n22 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n8, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (379), (6610) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) all_4_7 = n22 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6612), (6613) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) sum(n22, n22) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6611) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) sum(n4, n14) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (125), (601), (6614), (6615) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6616) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) all_4_10 = n6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6617) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) pred(n6) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6617) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) succ(n6) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (6619) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) all_4_8 = n7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (6618) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) all_4_6 = n5 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6620), (6621) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) sum(n5, n7) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6621) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) sum(n5, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6620) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) sum(n14, n7) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (6622) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) all_4_1 = n12 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n16, n5, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (153), (6623) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) all_4_4 = n21 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n7, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (378), (6624) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) all_4_7 = n21 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6626), (6627) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) sum(n21, n21) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6625) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) sum(n4, n12) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (123), (574), (6628), (6629) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #75. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6630) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) all_4_10 = n5 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6631) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) pred(n5) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6631) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) succ(n5) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (6633) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) all_4_8 = n6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (6632) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) all_4_6 = n4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6634), (6635) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) sum(n4, n6) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6635) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) sum(n4, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6634) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) sum(n14, n6) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (6636) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) all_4_1 = n10 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n16, n4, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (127), (6637) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) all_4_4 = n20 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n6, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (377), (6638) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) all_4_7 = n20 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6640), (6641) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) sum(n20, n20) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6639) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) sum(n4, n10) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (121), (547), (6642), (6643) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6644) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) all_4_10 = n4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6645) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) pred(n4) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6645) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) succ(n4) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (6647) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) all_4_8 = n5 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (6646) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) all_4_6 = n3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6648), (6649) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) sum(n3, n5) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6649) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) sum(n3, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6648) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) sum(n14, n5) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (6650) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) all_4_1 = n8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n16, n3, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (101), (6651) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) all_4_4 = n19 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n5, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (376), (6652) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) all_4_7 = n19 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6654), (6655) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) sum(n19, n19) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6653) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) sum(n4, n8) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (119), (520), (6656), (6657) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6658) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) all_4_10 = n3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6659) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) pred(n3) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6659) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) succ(n3) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (6661) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) all_4_8 = n4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (6660) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) all_4_6 = n2 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6662), (6663) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) sum(n2, n4) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6663) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) sum(n2, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6662) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) sum(n14, n4) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (6664) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) all_4_1 = n6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n16, n2, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (75), (6665) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) all_4_4 = n18 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n4, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (375), (6666) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) all_4_7 = n18 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6668), (6669) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) sum(n18, n18) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6667) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) sum(n4, n6) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (117), (493), (6670), (6671) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6672) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) all_4_10 = n2 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6673) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) pred(n2) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6673) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) succ(n2) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (6675) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) all_4_8 = n3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (6674) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) all_4_6 = n1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6676), (6677) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) sum(n1, n3) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6677) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) sum(n1, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6676) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) sum(n14, n3) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (6678) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_4_1 = n4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n16, n1, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (6679) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_4_4 = n17 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n3, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (374), (6680) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) all_4_7 = n17 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6682), (6683) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) sum(n17, n17) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6681) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) sum(n4, n4) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (466), (6684), (6685) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_4_10 = n1 | all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6686) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) all_4_10 = n1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6687) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) pred(n1) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6687) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) succ(n1) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (6689) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) all_4_8 = n2 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (6688) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) all_4_6 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6690), (6691) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) sum(n0, n2) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6691) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) sum(n0, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6690) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) sum(n14, n2) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (6692) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) all_4_1 = n2 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n16, n0, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (6693) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) all_4_4 = n16 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n2, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (373), (6694) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) all_4_7 = n16 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6696), (6697) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) sum(n16, n16) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6695) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) sum(n4, n2) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (113), (439), (6698), (6699) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) all_4_10 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6700) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) pred(n0) = all_4_6 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6700) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) succ(n0) = all_4_8 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (6702) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) all_4_8 = n1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (6701) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) all_4_6 = n25 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6703), (6704) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) sum(n25, n1) = all_4_1 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6704) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) sum(n25, n16) = all_4_4 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6494), (6703) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) sum(n14, n1) = all_4_7 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n1, n14, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (372), (6707) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) all_4_7 = n15 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (6705) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) all_4_1 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n16, n25, % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (673), (6706) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) all_4_4 = n15 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6708), (6710) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) sum(n15, n15) = all_4_3 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6496), (6709) imply: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) sum(n4, n0) = all_4_0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (111), (412), (6711), (6712) are % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13. % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | End of split % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | Case 2: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | (6713) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6486) gives: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.33 | | | | | | | | | | | | | | | | | | | | | | | (6714) all_4_10 = n15 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6714) imply: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6715) pred(n15) = all_4_6 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6714) imply: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6716) succ(n15) = all_4_8 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n16, all_4_8, n15, % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (704), (6716) gives: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6717) all_4_8 = n16 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (6715) gives: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6718) all_4_6 = n14 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (6718) imply: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6719) sum(n14, all_4_5) = all_4_4 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6717), (6718) imply: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6720) sum(n14, n16) = all_4_1 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (6717) imply: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6721) sum(all_4_9, n16) = all_4_7 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n16, n14, % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (387), (6720) gives: % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6722) all_4_1 = n4 % 189.86/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (6722) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | (6723) sum(all_4_2, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6713) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_4_11 = n14 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6724) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6725) pred(n14) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6724) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6726) succ(n14) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (6726) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6727) all_4_5 = n15 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (6725) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_4_9 = n13 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6727), (6728) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6729) sum(n13, n15) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6728) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6730) sum(n13, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6727) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6731) sum(n14, n15) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (6729) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6732) all_4_2 = n2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n16, n13, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (361), (6730) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6733) all_4_7 = n3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n15, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (386), (6731) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6734) all_4_4 = n3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (63), (88), (685), (6723), (6732), % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6733), (6734) are inconsistent by sub-proof #12. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (6735) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6735) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6736) all_4_11 = n13 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6736) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6737) pred(n13) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6736) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6738) succ(n13) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (6738) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6739) all_4_5 = n14 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (6737) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6740) all_4_9 = n12 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6739), (6740) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6741) sum(n12, n14) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6740) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6742) sum(n12, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6739) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6743) sum(n14, n14) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (6741) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_4_2 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n16, n12, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (335), (6742) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_4_7 = n2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n14, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (385), (6743) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6746) all_4_4 = n2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (61), (685), (6723), (6744), % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6745), (6746) are inconsistent by sub-proof #11. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6747) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) all_4_11 = n12 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6748) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) pred(n12) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6748) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) succ(n12) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (6750) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) all_4_5 = n13 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (6749) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) all_4_9 = n11 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6751), (6752) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) sum(n11, n13) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6752) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) sum(n11, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6751) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) sum(n14, n13) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (6753) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_4_2 = n24 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n16, n11, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (309), (6754) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) all_4_7 = n1 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n13, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (384), (6755) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) all_4_4 = n1 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6756) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) sum(n24, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6757), (6758) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) sum(n1, n1) = all_4_3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (635), (6759), (6760) are % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #315. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6761) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_4_11 = n11 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6762) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) pred(n11) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6762) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) succ(n11) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (6764) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) all_4_5 = n12 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (6763) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) all_4_9 = n10 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6765), (6766) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) sum(n10, n12) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6766) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) sum(n10, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6765) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) sum(n14, n12) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (6767) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) all_4_2 = n22 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n16, n10, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (283), (6768) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_4_7 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n12, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (383), (6769) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_4_4 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6770) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) sum(n22, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6771), (6772) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) sum(n0, n0) = all_4_3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (583), (6773), (6774) are % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6775) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) all_4_11 = n10 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6776) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) pred(n10) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6776) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) succ(n10) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (6778) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) all_4_5 = n11 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (6777) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) all_4_9 = n9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6779), (6780) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) sum(n9, n11) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6780) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) sum(n9, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6779) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) sum(n14, n11) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (6781) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) all_4_2 = n20 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n16, n9, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (257), (6782) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_4_7 = n25 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n11, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (382), (6783) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) all_4_4 = n25 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6784) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) sum(n20, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6785), (6786) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) sum(n25, n25) = all_4_3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (531), (682), (6787), (6788) are % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #223. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6789) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_4_11 = n9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6790) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) pred(n9) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6790) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) succ(n9) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (6792) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_4_5 = n10 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (6791) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_4_9 = n8 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6793), (6794) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) sum(n8, n10) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6794) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) sum(n8, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6793) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) sum(n14, n10) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (6795) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) all_4_2 = n18 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n16, n8, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (6796) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) all_4_7 = n24 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n10, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (381), (6797) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) all_4_4 = n24 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6798) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) sum(n18, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6799), (6800) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) sum(n24, n24) = all_4_3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (479), (655), (6801), (6802) are % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #183. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6803) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) all_4_11 = n8 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6804) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) pred(n8) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6804) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) succ(n8) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (6806) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) all_4_5 = n9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (6805) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) all_4_9 = n7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6807), (6808) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) sum(n7, n9) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6808) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) sum(n7, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6807) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) sum(n14, n9) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (6809) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) all_4_2 = n16 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n16, n7, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (205), (6810) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_4_7 = n23 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n9, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (380), (6811) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) all_4_4 = n23 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6812) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) sum(n16, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6813), (6814) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) sum(n23, n23) = all_4_3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (427), (628), (6815), (6816) are % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #147. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6817) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) all_4_11 = n7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6818) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) pred(n7) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6818) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) succ(n7) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (6820) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) all_4_5 = n8 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (6819) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) all_4_9 = n6 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6821), (6822) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) sum(n6, n8) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6822) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) sum(n6, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6821) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) sum(n14, n8) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (6823) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) all_4_2 = n14 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n16, n6, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (179), (6824) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) all_4_7 = n22 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n8, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (379), (6825) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) all_4_4 = n22 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6826) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) sum(n14, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6827), (6828) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) sum(n22, n22) = all_4_3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (375), (601), (6829), (6830) are % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6831) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) all_4_11 = n6 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6832) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) pred(n6) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6832) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) succ(n6) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (6834) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) all_4_5 = n7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (6833) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) all_4_9 = n5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6835), (6836) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) sum(n5, n7) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6836) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) sum(n5, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6835) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) sum(n14, n7) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (6837) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) all_4_2 = n12 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n16, n5, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (153), (6838) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) all_4_7 = n21 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n7, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (378), (6839) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) all_4_4 = n21 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6840) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) sum(n12, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6841), (6842) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) sum(n21, n21) = all_4_3 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (323), (574), (6843), (6844) are % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87. % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6845) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) all_4_11 = n5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6846) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) pred(n5) = all_4_9 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6846) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) succ(n5) = all_4_5 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (6848) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) all_4_5 = n6 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (6847) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) all_4_9 = n4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6849), (6850) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) sum(n4, n6) = all_4_2 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6850) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) sum(n4, n16) = all_4_7 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6849) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) sum(n14, n6) = all_4_4 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (6851) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) all_4_2 = n10 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n16, n4, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (127), (6852) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_4_7 = n20 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n6, n14, % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (377), (6853) gives: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_4_4 = n20 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6854) imply: % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) sum(n10, n4) = all_4_0 % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6855), (6856) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) sum(n20, n20) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (271), (547), (6857), (6858) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6859) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) all_4_11 = n4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6860) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) pred(n4) = all_4_9 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6860) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) succ(n4) = all_4_5 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (6862) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) all_4_5 = n5 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (6861) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) all_4_9 = n3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6863), (6864) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) sum(n3, n5) = all_4_2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6864) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) sum(n3, n16) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6863) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) sum(n14, n5) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (6865) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_4_2 = n8 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n16, n3, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (101), (6866) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) all_4_7 = n19 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n5, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (376), (6867) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) all_4_4 = n19 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6868) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) sum(n8, n4) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6869), (6870) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) sum(n19, n19) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (219), (520), (6871), (6872) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #43. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6873) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6873) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6874) all_4_11 = n3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6874) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6875) pred(n3) = all_4_9 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6874) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6876) succ(n3) = all_4_5 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (6876) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6877) all_4_5 = n4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (6875) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6878) all_4_9 = n2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6877), (6878) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6879) sum(n2, n4) = all_4_2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6878) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6880) sum(n2, n16) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6877) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6881) sum(n14, n4) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (6879) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6882) all_4_2 = n6 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n16, n2, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (75), (6880) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883) all_4_7 = n18 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n4, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (375), (6881) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6884) all_4_4 = n18 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6882) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6885) sum(n6, n4) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6883), (6884) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886) sum(n18, n18) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (167), (493), (6885), (6886) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6887) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6887) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6888) all_4_11 = n2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6888) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6889) pred(n2) = all_4_9 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6888) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6890) succ(n2) = all_4_5 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (6890) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6891) all_4_5 = n3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (6889) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) all_4_9 = n1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6891), (6892) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) sum(n1, n3) = all_4_2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6892) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) sum(n1, n16) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6891) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) sum(n14, n3) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (6893) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) all_4_2 = n4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n16, n1, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (6894) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) all_4_7 = n17 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n3, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (374), (6895) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) all_4_4 = n17 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6896) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) sum(n4, n4) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6897), (6898) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) sum(n17, n17) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (466), (6899), (6900) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) all_4_11 = n1 | all_4_11 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6901) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) all_4_11 = n1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6902) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) pred(n1) = all_4_9 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6902) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) succ(n1) = all_4_5 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (6904) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) all_4_5 = n2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (6903) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) all_4_9 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6905), (6906) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) sum(n0, n2) = all_4_2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6906) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6908) sum(n0, n16) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6905) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6909) sum(n14, n2) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (6907) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6910) all_4_2 = n2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n16, n0, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (6908) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6911) all_4_7 = n16 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n2, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (373), (6909) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_4_4 = n16 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6910) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) sum(n2, n4) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6911), (6912) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) sum(n16, n16) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (63), (439), (6913), (6914) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) all_4_11 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6915) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) pred(n0) = all_4_9 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6915) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) succ(n0) = all_4_5 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (6917) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) all_4_5 = n1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (6916) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) all_4_9 = n25 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6918), (6919) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) sum(n25, n1) = all_4_2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6721), (6919) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) sum(n25, n16) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6719), (6918) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) sum(n14, n1) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n1, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (372), (6922) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) all_4_4 = n15 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (6920) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) all_4_2 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n16, n25, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (673), (6921) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) all_4_7 = n15 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6924) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) sum(n0, n4) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6923), (6925) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) sum(n15, n15) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (412), (6926), (6927) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | (6928) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6713) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6929) all_4_11 = n14 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (6929) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6930) pred(n14) = all_4_9 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6929) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6931) succ(n14) = all_4_5 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (6931) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6932) all_4_5 = n15 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (6930) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6933) all_4_9 = n13 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (6932) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6934) sum(all_4_6, n15) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6932), (6933) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6935) sum(n13, n15) = all_4_2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (6933) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6936) sum(n13, all_4_8) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n15, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (6935) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6937) all_4_2 = n2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (6937) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | (6938) sum(n2, all_4_1) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6928) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6939) all_4_10 = n14 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6939) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6940) pred(n14) = all_4_6 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6939) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6941) succ(n14) = all_4_8 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (6941) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6942) all_4_8 = n15 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (6940) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6943) all_4_6 = n13 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6942), (6943) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6944) sum(n13, n15) = all_4_1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (6943) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6945) sum(n13, n15) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (6942) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6946) sum(n13, n15) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n15, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (6945) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6947) all_4_4 = n2 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n15, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6944), (6945) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6948) all_4_1 = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n15, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6944), (6946) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6949) all_4_1 = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (685), (6938), (6947), (6948), % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6949) are inconsistent by sub-proof #8. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6950) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6950) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) all_4_10 = n13 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6951) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) pred(n13) = all_4_6 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6951) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) succ(n13) = all_4_8 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (6953) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) all_4_8 = n14 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (6952) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) all_4_6 = n12 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6954), (6955) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) sum(n12, n14) = all_4_1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (6955) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) sum(n12, n15) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (6954) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) sum(n13, n14) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (6956) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) all_4_1 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n15, n12, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (334), (6957) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) all_4_4 = n1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n14, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (359), (6958) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) all_4_7 = n1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (59), (685), (6938), (6959), % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6960), (6961) are inconsistent by sub-proof #7. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6962) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) all_4_10 = n12 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6963) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) pred(n12) = all_4_6 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6963) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) succ(n12) = all_4_8 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (6965) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) all_4_8 = n13 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (6964) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_4_6 = n11 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6966), (6967) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) sum(n11, n13) = all_4_1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (6967) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) sum(n11, n15) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (6966) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) sum(n13, n13) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (6968) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) all_4_1 = n24 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n15, n11, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (308), (6969) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_4_4 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n13, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (358), (6970) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_4_7 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6972), (6973) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) sum(n0, n0) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (6971) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) sum(n2, n24) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (83), (6974), (6975) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6976) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) all_4_10 = n11 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6977) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) pred(n11) = all_4_6 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6977) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) succ(n11) = all_4_8 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (6979) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) all_4_8 = n12 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (6978) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) all_4_6 = n10 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6980), (6981) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) sum(n10, n12) = all_4_1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (6981) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) sum(n10, n15) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (6980) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) sum(n13, n12) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (6982) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) all_4_1 = n22 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n15, n10, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (282), (6983) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) all_4_4 = n25 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n12, n13, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (357), (6984) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) all_4_7 = n25 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6986), (6987) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) sum(n25, n25) = all_4_3 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (6985) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) sum(n2, n22) = all_4_0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (81), (682), (6988), (6989) are % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244. % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6990) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_4_10 = n10 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6991) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) pred(n10) = all_4_6 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (6991) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) succ(n10) = all_4_8 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (6993) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) all_4_8 = n11 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (6992) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) all_4_6 = n9 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6994), (6995) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) sum(n9, n11) = all_4_1 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (6995) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) sum(n9, n15) = all_4_4 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (6994) imply: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) sum(n13, n11) = all_4_7 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (6996) gives: % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) all_4_1 = n20 % 190.07/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n15, n9, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (256), (6997) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) all_4_4 = n24 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n11, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (356), (6998) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) all_4_7 = n24 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7000), (7001) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) sum(n24, n24) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (6999) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) sum(n2, n20) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (655), (7002), (7003) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #202. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7004) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) all_4_10 = n9 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7005) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) pred(n9) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7005) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) succ(n9) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (7007) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) all_4_8 = n10 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (7006) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) all_4_6 = n8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7008), (7009) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) sum(n8, n10) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7009) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) sum(n8, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7008) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) sum(n13, n10) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (7010) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) all_4_1 = n18 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n15, n8, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (7011) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) all_4_4 = n23 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n10, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (355), (7012) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) all_4_7 = n23 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7014), (7015) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) sum(n23, n23) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7013) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) sum(n2, n18) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (628), (7016), (7017) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7018) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) all_4_10 = n8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7019) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) pred(n8) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7019) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) succ(n8) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (7021) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) all_4_8 = n9 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (7020) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) all_4_6 = n7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7022), (7023) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) sum(n7, n9) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7023) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) sum(n7, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7022) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) sum(n13, n9) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (7024) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) all_4_1 = n16 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n15, n7, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (204), (7025) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) all_4_4 = n22 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n9, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (354), (7026) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) all_4_7 = n22 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7028), (7029) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) sum(n22, n22) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7027) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) sum(n2, n16) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (601), (7030), (7031) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7032) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) all_4_10 = n7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7033) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) pred(n7) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7033) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) succ(n7) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (7035) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) all_4_8 = n8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (7034) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_4_6 = n6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7036), (7037) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) sum(n6, n8) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7037) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) sum(n6, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7036) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) sum(n13, n8) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (7038) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) all_4_1 = n14 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n15, n6, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (178), (7039) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) all_4_4 = n21 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n8, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (353), (7040) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) all_4_7 = n21 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7042), (7043) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) sum(n21, n21) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7041) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) sum(n2, n14) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (73), (574), (7044), (7045) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7046) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) all_4_10 = n6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7047) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) pred(n6) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7047) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) succ(n6) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (7049) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) all_4_8 = n7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (7048) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) all_4_6 = n5 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7050), (7051) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) sum(n5, n7) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7051) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) sum(n5, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7050) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) sum(n13, n7) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (7052) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) all_4_1 = n12 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n15, n5, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (152), (7053) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) all_4_4 = n20 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n7, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (352), (7054) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) all_4_7 = n20 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7056), (7057) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) sum(n20, n20) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7055) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) sum(n2, n12) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (71), (547), (7058), (7059) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7060) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_4_10 = n5 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7061) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) pred(n5) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7061) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) succ(n5) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (7063) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) all_4_8 = n6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (7062) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) all_4_6 = n4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7064), (7065) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) sum(n4, n6) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7065) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) sum(n4, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7064) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) sum(n13, n6) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7066) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) all_4_1 = n10 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n15, n4, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (7067) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) all_4_4 = n19 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n6, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (351), (7068) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) all_4_7 = n19 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7070), (7071) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) sum(n19, n19) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7069) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) sum(n2, n10) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (69), (520), (7072), (7073) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7074) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) all_4_10 = n4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7075) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) pred(n4) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7075) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) succ(n4) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (7077) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7078) all_4_8 = n5 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (7076) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) all_4_6 = n3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7078), (7079) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7080) sum(n3, n5) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7079) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081) sum(n3, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7078) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7082) sum(n13, n5) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (7080) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083) all_4_1 = n8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n15, n3, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (100), (7081) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7084) all_4_4 = n18 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n5, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (350), (7082) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7085) all_4_7 = n18 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7084), (7085) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7086) sum(n18, n18) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7083) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7087) sum(n2, n8) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (67), (493), (7086), (7087) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7088) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7088) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7089) all_4_10 = n3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7089) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7090) pred(n3) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7089) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7091) succ(n3) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (7091) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7092) all_4_8 = n4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (7090) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7093) all_4_6 = n2 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7092), (7093) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7094) sum(n2, n4) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7093) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7095) sum(n2, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7092) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7096) sum(n13, n4) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (7094) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) all_4_1 = n6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n15, n2, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (7095) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) all_4_4 = n17 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n4, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (349), (7096) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_4_7 = n17 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7098), (7099) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) sum(n17, n17) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7097) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) sum(n2, n6) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (65), (466), (7100), (7101) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7102) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) all_4_10 = n2 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7103) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) pred(n2) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7103) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) succ(n2) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (7105) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) all_4_8 = n3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (7104) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) all_4_6 = n1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7106), (7107) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) sum(n1, n3) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7107) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) sum(n1, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7106) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) sum(n13, n3) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (7108) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) all_4_1 = n4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n15, n1, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (48), (7109) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) all_4_4 = n16 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n3, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (348), (7110) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) all_4_7 = n16 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7112), (7113) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114) sum(n16, n16) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7111) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7115) sum(n2, n4) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (63), (439), (7114), (7115) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7116) all_4_10 = n1 | all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7116) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117) all_4_10 = n1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7117) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) pred(n1) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7117) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) succ(n1) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (7119) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) all_4_8 = n2 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (7118) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) all_4_6 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7120), (7121) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) sum(n0, n2) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7121) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) sum(n0, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7120) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) sum(n13, n2) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (7122) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) all_4_1 = n2 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n15, n0, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (7123) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) all_4_4 = n15 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n2, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (347), (7124) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) all_4_7 = n15 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7126), (7127) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) sum(n15, n15) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7125) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) sum(n2, n2) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (412), (7128), (7129) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) all_4_10 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7130) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) pred(n0) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7130) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) succ(n0) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (7132) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_4_8 = n1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (7131) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) all_4_6 = n25 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7133), (7134) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) sum(n25, n1) = all_4_1 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (7134) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) sum(n25, n15) = all_4_4 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6936), (7133) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) sum(n13, n1) = all_4_7 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n1, n13, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (346), (7137) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) all_4_7 = n14 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (7135) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_4_1 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n15, n25, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (672), (7136) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_4_4 = n14 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7138), (7140) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) sum(n14, n14) = all_4_3 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6938), (7139) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) sum(n2, n0) = all_4_0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (59), (385), (7141), (7142) are % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5. % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | (7143) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6928) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7144) all_4_10 = n14 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7144) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7145) pred(n14) = all_4_6 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7144) imply: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7146) succ(n14) = all_4_8 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (703), (7146) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7147) all_4_8 = n15 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (731), (7145) gives: % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | (7148) all_4_6 = n13 % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7148) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7149) sum(n13, all_4_5) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7147), (7148) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7150) sum(n13, n15) = all_4_1 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (7147) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7151) sum(all_4_9, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n15, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (360), (7150) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7152) all_4_1 = n2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (7152) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7153) sum(all_4_2, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7143) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) all_4_11 = n13 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7154) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) pred(n13) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7154) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) succ(n13) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (7156) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_4_5 = n14 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (7155) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) all_4_9 = n12 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7157), (7158) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) sum(n12, n14) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7158) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) sum(n12, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7157) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) sum(n13, n14) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (7159) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) all_4_2 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n15, n12, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (334), (7160) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) all_4_7 = n1 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n14, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (359), (7161) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) all_4_4 = n1 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7162) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) sum(n0, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7163), (7164) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) sum(n1, n1) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (34), (7165), (7166) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7167) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) all_4_11 = n12 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7168) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) pred(n12) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7168) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) succ(n12) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (7170) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) all_4_5 = n13 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (7169) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) all_4_9 = n11 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7171), (7172) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) sum(n11, n13) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7172) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) sum(n11, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7171) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7175) sum(n13, n13) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (7173) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176) all_4_2 = n24 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n15, n11, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (308), (7174) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7177) all_4_7 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n13, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (358), (7175) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7178) all_4_4 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7176) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7179) sum(n24, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7177), (7178) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7180) sum(n0, n0) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (633), (7179), (7180) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7181) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7181) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7182) all_4_11 = n11 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7182) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7183) pred(n11) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7182) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7184) succ(n11) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (7184) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7185) all_4_5 = n12 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (7183) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7186) all_4_9 = n10 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7185), (7186) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7187) sum(n10, n12) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7186) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7188) sum(n10, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7185) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7189) sum(n13, n12) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (7187) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7190) all_4_2 = n22 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n15, n10, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (282), (7188) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191) all_4_7 = n25 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n12, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (357), (7189) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192) all_4_4 = n25 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7190) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7193) sum(n22, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7191), (7192) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7194) sum(n25, n25) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (581), (682), (7193), (7194) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #266. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7195) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7195) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7196) all_4_11 = n10 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7196) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7197) pred(n10) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7196) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7198) succ(n10) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (7198) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199) all_4_5 = n11 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (7197) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7200) all_4_9 = n9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7199), (7200) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7201) sum(n9, n11) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7200) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7202) sum(n9, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7199) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7203) sum(n13, n11) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (7201) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7204) all_4_2 = n20 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n15, n9, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (256), (7202) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7205) all_4_7 = n24 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n11, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (356), (7203) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_4_4 = n24 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7204) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) sum(n20, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7205), (7206) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) sum(n24, n24) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (529), (655), (7207), (7208) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7209) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) all_4_11 = n9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7210) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) pred(n9) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7210) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) succ(n9) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (7212) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) all_4_5 = n10 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (7211) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) all_4_9 = n8 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7213), (7214) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) sum(n8, n10) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7214) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) sum(n8, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7213) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) sum(n13, n10) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (7215) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) all_4_2 = n18 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n15, n8, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (7216) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) all_4_7 = n23 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n10, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (355), (7217) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) all_4_4 = n23 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7218) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) sum(n18, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7219), (7220) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) sum(n23, n23) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (477), (628), (7221), (7222) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7223) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) all_4_11 = n8 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7224) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) pred(n8) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7224) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) succ(n8) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (7226) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) all_4_5 = n9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (7225) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) all_4_9 = n7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7227), (7228) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) sum(n7, n9) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7228) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) sum(n7, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7227) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) sum(n13, n9) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (7229) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) all_4_2 = n16 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n15, n7, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (204), (7230) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) all_4_7 = n22 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n9, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (354), (7231) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) all_4_4 = n22 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7232) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) sum(n16, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7233), (7234) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) sum(n22, n22) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (425), (601), (7235), (7236) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #146. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7237) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) all_4_11 = n7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7238) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) pred(n7) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7238) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) succ(n7) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (7240) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) all_4_5 = n8 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (7239) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) all_4_9 = n6 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7241), (7242) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) sum(n6, n8) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7242) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) sum(n6, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7241) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) sum(n13, n8) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (7243) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) all_4_2 = n14 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n15, n6, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (178), (7244) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) all_4_7 = n21 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n8, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (353), (7245) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) all_4_4 = n21 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7246) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) sum(n14, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7247), (7248) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) sum(n21, n21) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (373), (574), (7249), (7250) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #114. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_4_11 = n6 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7252) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) pred(n6) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7252) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) succ(n6) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (7254) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) all_4_5 = n7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (7253) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) all_4_9 = n5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7255), (7256) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) sum(n5, n7) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7256) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) sum(n5, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7255) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) sum(n13, n7) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (7257) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) all_4_2 = n12 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n15, n5, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (152), (7258) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) all_4_7 = n20 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n7, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (352), (7259) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_4_4 = n20 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7260) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) sum(n12, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7261), (7262) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) sum(n20, n20) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (321), (547), (7263), (7264) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7265) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) all_4_11 = n5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7266) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) pred(n5) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7266) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) succ(n5) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (7268) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) all_4_5 = n6 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (7267) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) all_4_9 = n4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7269), (7270) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) sum(n4, n6) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7270) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) sum(n4, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7269) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) sum(n13, n6) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7271) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) all_4_2 = n10 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n15, n4, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (126), (7272) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) all_4_7 = n19 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n6, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (351), (7273) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) all_4_4 = n19 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7274) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) sum(n10, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7275), (7276) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) sum(n19, n19) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (269), (520), (7277), (7278) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7279) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) all_4_11 = n4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7280) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) pred(n4) = all_4_9 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7280) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) succ(n4) = all_4_5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (7282) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) all_4_5 = n5 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (7281) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) all_4_9 = n3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7283), (7284) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) sum(n3, n5) = all_4_2 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7284) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) sum(n3, n15) = all_4_7 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7283) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) sum(n13, n5) = all_4_4 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (7285) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) all_4_2 = n8 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n15, n3, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (100), (7286) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) all_4_7 = n18 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n5, n13, % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (350), (7287) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) all_4_4 = n18 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7288) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) sum(n8, n2) = all_4_0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7289), (7290) imply: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) sum(n18, n18) = all_4_3 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (217), (493), (7291), (7292) are % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42. % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7293) gives: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) all_4_11 = n3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7294) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) pred(n3) = all_4_9 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7294) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) succ(n3) = all_4_5 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (7296) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) all_4_5 = n4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (7295) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) all_4_9 = n2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7297), (7298) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) sum(n2, n4) = all_4_2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7298) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300) sum(n2, n15) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7297) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301) sum(n13, n4) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (7299) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302) all_4_2 = n6 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n15, n2, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (7300) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303) all_4_7 = n17 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n4, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (349), (7301) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7304) all_4_4 = n17 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7302) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7305) sum(n6, n2) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7303), (7304) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306) sum(n17, n17) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (165), (466), (7305), (7306) are % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7307) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7307) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7308) all_4_11 = n2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7308) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309) pred(n2) = all_4_9 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7308) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) succ(n2) = all_4_5 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (7310) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) all_4_5 = n3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (7309) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) all_4_9 = n1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7311), (7312) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) sum(n1, n3) = all_4_2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7312) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) sum(n1, n15) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7311) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) sum(n13, n3) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (7313) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) all_4_2 = n4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n15, n1, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (48), (7314) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) all_4_7 = n16 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n3, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (348), (7315) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_4_4 = n16 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7316) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) sum(n4, n2) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7317), (7318) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) sum(n16, n16) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (113), (439), (7319), (7320) are % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) all_4_11 = n1 | all_4_11 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7321) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) all_4_11 = n1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7322) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) pred(n1) = all_4_9 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7322) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) succ(n1) = all_4_5 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (7324) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) all_4_5 = n2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (7323) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_4_9 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7325), (7326) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) sum(n0, n2) = all_4_2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7326) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) sum(n0, n15) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7325) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) sum(n13, n2) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (7327) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) all_4_2 = n2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n15, n0, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (7328) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_4_7 = n15 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n2, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (347), (7329) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) all_4_4 = n15 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7330) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) sum(n2, n2) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7331), (7332) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) sum(n15, n15) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (412), (7333), (7334) are % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) all_4_11 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7335) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) pred(n0) = all_4_9 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7335) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) succ(n0) = all_4_5 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (7337) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) all_4_5 = n1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (7336) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) all_4_9 = n25 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7338), (7339) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) sum(n25, n1) = all_4_2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7151), (7339) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) sum(n25, n15) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7338) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) sum(n13, n1) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n1, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (346), (7342) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) all_4_4 = n14 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (7340) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) all_4_2 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n15, n25, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (672), (7341) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) all_4_7 = n14 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7153), (7344) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) sum(n0, n2) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7343), (7345) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) sum(n14, n14) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (385), (7346), (7347) are % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7348) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7143) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7349) all_4_11 = n13 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7349) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7350) pred(n13) = all_4_9 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7349) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7351) succ(n13) = all_4_5 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (7351) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7352) all_4_5 = n14 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (7350) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7353) all_4_9 = n12 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7352) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) sum(all_4_6, n14) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7352), (7353) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7355) sum(n12, n14) = all_4_2 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (7353) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7356) sum(n12, all_4_8) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n14, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (7355) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7357) all_4_2 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (7357) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7358) sum(n0, all_4_1) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7348) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7359) all_4_10 = n13 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7359) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7360) pred(n13) = all_4_6 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7359) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361) succ(n13) = all_4_8 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (7361) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7362) all_4_8 = n14 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (7360) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7363) all_4_6 = n12 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7362), (7363) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) sum(n12, n14) = all_4_1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7363) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) sum(n12, n14) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7362) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) sum(n12, n14) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n14, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (7365) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) all_4_4 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n14, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7364), (7365) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) all_4_1 = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n14, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7364), (7366) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) all_4_1 = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (685), (7358), (7367), (7368), % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) are inconsistent by sub-proof #2. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7370) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) all_4_10 = n12 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7371) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) pred(n12) = all_4_6 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7371) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) succ(n12) = all_4_8 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (7373) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) all_4_8 = n13 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (7372) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_4_6 = n11 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7374), (7375) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) sum(n11, n13) = all_4_1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7375) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) sum(n11, n14) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7374) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) sum(n12, n13) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (7376) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7379) all_4_1 = n24 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n14, n11, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (307), (7377) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7380) all_4_4 = n25 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n13, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (332), (7378) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7381) all_4_7 = n25 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7380), (7381) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382) sum(n25, n25) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7379) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7383) sum(n0, n24) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (31), (682), (7382), (7383) are % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #289. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7384) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7384) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385) all_4_10 = n11 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7385) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) pred(n11) = all_4_6 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7385) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) succ(n11) = all_4_8 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (7387) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) all_4_8 = n12 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (7386) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) all_4_6 = n10 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7388), (7389) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) sum(n10, n12) = all_4_1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7389) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) sum(n10, n14) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7388) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) sum(n12, n12) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (7390) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) all_4_1 = n22 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n14, n10, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (281), (7391) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) all_4_4 = n24 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n12, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (331), (7392) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) all_4_7 = n24 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7394), (7395) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) sum(n24, n24) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7393) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) sum(n0, n22) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (29), (655), (7396), (7397) are % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #243. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7398) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) all_4_10 = n10 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7399) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7400) pred(n10) = all_4_6 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7399) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7401) succ(n10) = all_4_8 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (7401) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402) all_4_8 = n11 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (7400) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7403) all_4_6 = n9 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7402), (7403) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7404) sum(n9, n11) = all_4_1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7403) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7405) sum(n9, n14) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7402) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7406) sum(n12, n11) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (7404) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7407) all_4_1 = n20 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n14, n9, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (255), (7405) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7408) all_4_4 = n23 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n11, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (330), (7406) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7409) all_4_7 = n23 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7408), (7409) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7410) sum(n23, n23) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7407) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411) sum(n0, n20) = all_4_0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (27), (628), (7410), (7411) are % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201. % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7412) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7412) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413) all_4_10 = n9 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7413) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7414) pred(n9) = all_4_6 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7413) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415) succ(n9) = all_4_8 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (7415) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7416) all_4_8 = n10 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (7414) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417) all_4_6 = n8 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7416), (7417) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7418) sum(n8, n10) = all_4_1 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7417) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419) sum(n8, n14) = all_4_4 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7416) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7420) sum(n12, n10) = all_4_7 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (7418) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7421) all_4_1 = n18 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n14, n8, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (7419) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7422) all_4_4 = n22 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n10, n12, % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (329), (7420) gives: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7423) all_4_7 = n22 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7422), (7423) imply: % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424) sum(n22, n22) = all_4_3 % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.07/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7421) imply: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7425) sum(n0, n18) = all_4_0 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (25), (601), (7424), (7425) are % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163. % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7426) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7426) gives: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7427) all_4_10 = n8 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7427) imply: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7428) pred(n8) = all_4_6 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7427) imply: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7429) succ(n8) = all_4_8 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (7429) gives: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7430) all_4_8 = n9 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (7428) gives: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7431) all_4_6 = n7 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7430), (7431) imply: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7432) sum(n7, n9) = all_4_1 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7431) imply: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433) sum(n7, n14) = all_4_4 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7430) imply: % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7434) sum(n12, n9) = all_4_7 % 190.20/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (7432) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7435) all_4_1 = n16 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n14, n7, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (203), (7433) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7436) all_4_4 = n21 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n9, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (328), (7434) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437) all_4_7 = n21 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7436), (7437) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7438) sum(n21, n21) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7435) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7439) sum(n0, n16) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (23), (574), (7438), (7439) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7440) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7440) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7441) all_4_10 = n7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7441) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442) pred(n7) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7441) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443) succ(n7) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (7443) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) all_4_8 = n8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (7442) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) all_4_6 = n6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7444), (7445) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) sum(n6, n8) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7445) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) sum(n6, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7444) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) sum(n12, n8) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (7446) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) all_4_1 = n14 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n14, n6, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (177), (7447) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) all_4_4 = n20 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n8, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (327), (7448) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) all_4_7 = n20 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7450), (7451) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) sum(n20, n20) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7449) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) sum(n0, n14) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21), (547), (7452), (7453) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #99. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7454) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455) all_4_10 = n6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7455) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7456) pred(n6) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7455) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7457) succ(n6) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (7457) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7458) all_4_8 = n7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (7456) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7459) all_4_6 = n5 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7458), (7459) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7460) sum(n5, n7) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7459) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7461) sum(n5, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7458) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7462) sum(n12, n7) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (7460) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7463) all_4_1 = n12 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n14, n5, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (151), (7461) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464) all_4_4 = n19 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n7, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (326), (7462) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7465) all_4_7 = n19 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7464), (7465) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7466) sum(n19, n19) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7463) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7467) sum(n0, n12) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (520), (7466), (7467) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7468) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7468) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7469) all_4_10 = n5 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7469) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7470) pred(n5) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7469) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7471) succ(n5) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (7471) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7472) all_4_8 = n6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (7470) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7473) all_4_6 = n4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7472), (7473) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474) sum(n4, n6) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7473) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7475) sum(n4, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7472) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7476) sum(n12, n6) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7474) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477) all_4_1 = n10 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n14, n4, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (125), (7475) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7478) all_4_4 = n18 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n6, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (325), (7476) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7479) all_4_7 = n18 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7478), (7479) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7480) sum(n18, n18) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7477) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481) sum(n0, n10) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (493), (7480), (7481) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7482) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7482) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7483) all_4_10 = n4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7483) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7484) pred(n4) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7483) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7485) succ(n4) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (7485) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7486) all_4_8 = n5 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (7484) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7487) all_4_6 = n3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7486), (7487) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7488) sum(n3, n5) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7487) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7489) sum(n3, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7486) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7490) sum(n12, n5) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (7488) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7491) all_4_1 = n8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n14, n3, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (99), (7489) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7492) all_4_4 = n17 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n5, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (324), (7490) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7493) all_4_7 = n17 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7492), (7493) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7494) sum(n17, n17) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7491) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7495) sum(n0, n8) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (466), (7494), (7495) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7496) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7496) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7497) all_4_10 = n3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7497) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498) pred(n3) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7497) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499) succ(n3) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (7499) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7500) all_4_8 = n4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (7498) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7501) all_4_6 = n2 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7500), (7501) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) sum(n2, n4) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7501) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) sum(n2, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7500) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) sum(n12, n4) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (7502) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) all_4_1 = n6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n14, n2, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (73), (7503) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) all_4_4 = n16 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n4, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (323), (7504) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) all_4_7 = n16 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7506), (7507) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) sum(n16, n16) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7505) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) sum(n0, n6) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (439), (7508), (7509) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7510) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) all_4_10 = n2 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7511) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) pred(n2) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7511) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7513) succ(n2) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (7513) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7514) all_4_8 = n3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (7512) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7515) all_4_6 = n1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7514), (7515) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7516) sum(n1, n3) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7515) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7517) sum(n1, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7514) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518) sum(n12, n3) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (7516) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7519) all_4_1 = n4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n14, n1, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (47), (7517) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7520) all_4_4 = n15 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n3, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (322), (7518) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7521) all_4_7 = n15 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7520), (7521) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522) sum(n15, n15) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7519) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523) sum(n0, n4) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (412), (7522), (7523) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524) all_4_10 = n1 | all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7524) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7525) all_4_10 = n1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7525) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526) pred(n1) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7525) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527) succ(n1) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (7527) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528) all_4_8 = n2 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (7526) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7529) all_4_6 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7528), (7529) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530) sum(n0, n2) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7529) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531) sum(n0, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7528) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532) sum(n12, n2) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (7530) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533) all_4_1 = n2 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n14, n0, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (7531) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7534) all_4_4 = n14 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n2, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (321), (7532) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7535) all_4_7 = n14 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7534), (7535) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7536) sum(n14, n14) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7533) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537) sum(n0, n2) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (385), (7536), (7537) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7538) all_4_10 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7538) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7539) pred(n0) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7538) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7540) succ(n0) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (7540) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7541) all_4_8 = n1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (7539) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542) all_4_6 = n25 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7541), (7542) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7543) sum(n25, n1) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7354), (7542) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7544) sum(n25, n14) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7356), (7541) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7545) sum(n12, n1) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n1, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (320), (7545) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7546) all_4_7 = n13 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (7543) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547) all_4_1 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n14, n25, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (671), (7544) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548) all_4_4 = n13 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7546), (7548) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7549) sum(n13, n13) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7358), (7547) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7550) sum(n0, n0) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (358), (7549), (7550) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7551) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7348) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7552) all_4_10 = n13 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7552) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7553) pred(n13) = all_4_6 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7552) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7554) succ(n13) = all_4_8 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (702), (7554) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555) all_4_8 = n14 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (7553) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556) all_4_6 = n12 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7556) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7557) sum(n12, all_4_5) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7555), (7556) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7558) sum(n12, n14) = all_4_1 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (7555) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7559) sum(all_4_9, n14) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n14, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (333), (7558) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7560) all_4_1 = n0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (7560) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7561) sum(all_4_2, n0) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7551) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7562) all_4_11 = n12 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7562) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563) pred(n12) = all_4_9 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7562) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7564) succ(n12) = all_4_5 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (7564) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7565) all_4_5 = n13 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (7563) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7566) all_4_9 = n11 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7565), (7566) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7567) sum(n11, n13) = all_4_2 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7566) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568) sum(n11, n14) = all_4_7 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7565) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7569) sum(n12, n13) = all_4_4 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (7567) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7570) all_4_2 = n24 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_7, n14, n11, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (307), (7568) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571) all_4_7 = n25 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n25, all_4_4, n13, n12, % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (332), (7569) gives: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572) all_4_4 = n25 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7570) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) sum(n24, n0) = all_4_0 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7571), (7572) imply: % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) sum(n25, n25) = all_4_3 % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (631), (682), (7573), (7574) are % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313. % 190.20/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7575) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) all_4_11 = n11 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7576) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) pred(n11) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7576) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) succ(n11) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (7578) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) all_4_5 = n12 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (7577) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) all_4_9 = n10 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7579), (7580) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) sum(n10, n12) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7580) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7582) sum(n10, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7579) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583) sum(n12, n12) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (7581) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7584) all_4_2 = n22 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_7, n14, n10, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (281), (7582) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7585) all_4_7 = n24 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n12, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (331), (7583) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7586) all_4_4 = n24 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7584) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7587) sum(n22, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7585), (7586) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7588) sum(n24, n24) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (579), (655), (7587), (7588) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7589) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7589) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) all_4_11 = n10 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7590) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) pred(n10) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7590) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) succ(n10) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (7592) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) all_4_5 = n11 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (7591) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) all_4_9 = n9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7593), (7594) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) sum(n9, n11) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7594) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) sum(n9, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7593) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) sum(n12, n11) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (7595) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) all_4_2 = n20 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n14, n9, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (255), (7596) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) all_4_7 = n23 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n11, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (330), (7597) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7600) all_4_4 = n23 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7598) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7601) sum(n20, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7599), (7600) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7602) sum(n23, n23) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (527), (628), (7601), (7602) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7603) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7604) all_4_11 = n9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7604) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7605) pred(n9) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7604) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606) succ(n9) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (7606) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7607) all_4_5 = n10 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (7605) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7608) all_4_9 = n8 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7607), (7608) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7609) sum(n8, n10) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7608) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7610) sum(n8, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7607) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611) sum(n12, n10) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (7609) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7612) all_4_2 = n18 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n14, n8, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (7610) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7613) all_4_7 = n22 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n10, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (329), (7611) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7614) all_4_4 = n22 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7612) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7615) sum(n18, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7613), (7614) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7616) sum(n22, n22) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (475), (601), (7615), (7616) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #181. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7617) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) all_4_11 = n8 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7618) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7619) pred(n8) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7618) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7620) succ(n8) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (7620) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621) all_4_5 = n9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (7619) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7622) all_4_9 = n7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7621), (7622) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7623) sum(n7, n9) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7622) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624) sum(n7, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7621) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7625) sum(n12, n9) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (7623) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626) all_4_2 = n16 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n14, n7, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (203), (7624) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7627) all_4_7 = n21 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n9, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (328), (7625) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628) all_4_4 = n21 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7626) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629) sum(n16, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7627), (7628) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) sum(n21, n21) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (423), (574), (7629), (7630) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7631) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) all_4_11 = n7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7632) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) pred(n7) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7632) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) succ(n7) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (7634) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) all_4_5 = n8 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (7633) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) all_4_9 = n6 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7635), (7636) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) sum(n6, n8) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7636) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) sum(n6, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7635) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) sum(n12, n8) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (7637) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) all_4_2 = n14 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n14, n6, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (177), (7638) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_4_7 = n20 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n8, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (327), (7639) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) all_4_4 = n20 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7640) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) sum(n14, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7641), (7642) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) sum(n20, n20) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (371), (547), (7643), (7644) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #113. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7645) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) all_4_11 = n6 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7646) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) pred(n6) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7646) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) succ(n6) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (7648) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) all_4_5 = n7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (7647) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) all_4_9 = n5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7649), (7650) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) sum(n5, n7) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7650) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) sum(n5, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7649) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) sum(n12, n7) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (7651) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) all_4_2 = n12 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n14, n5, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (151), (7652) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) all_4_7 = n19 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n7, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (326), (7653) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_4_4 = n19 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7654) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) sum(n12, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7655), (7656) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) sum(n19, n19) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (319), (520), (7657), (7658) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7659) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) all_4_11 = n5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7660) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) pred(n5) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7660) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) succ(n5) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (7662) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) all_4_5 = n6 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (7661) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) all_4_9 = n4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7663), (7664) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) sum(n4, n6) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7664) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) sum(n4, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7663) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) sum(n12, n6) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7665) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) all_4_2 = n10 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n14, n4, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (125), (7666) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_4_7 = n18 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n6, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (325), (7667) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_4_4 = n18 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7668) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) sum(n10, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7669), (7670) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) sum(n18, n18) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (267), (493), (7671), (7672) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #61. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7673) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_4_11 = n4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7674) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) pred(n4) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7674) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) succ(n4) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (7676) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_4_5 = n5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (7675) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) all_4_9 = n3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7677), (7678) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) sum(n3, n5) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7678) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) sum(n3, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7677) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) sum(n12, n5) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (7679) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) all_4_2 = n8 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n14, n3, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (99), (7680) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) all_4_7 = n17 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n5, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (324), (7681) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) all_4_4 = n17 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7682) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) sum(n8, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7683), (7684) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) sum(n17, n17) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (215), (466), (7685), (7686) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7687) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) all_4_11 = n3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7688) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) pred(n3) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7688) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) succ(n3) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (7690) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) all_4_5 = n4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (7689) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) all_4_9 = n2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7691), (7692) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) sum(n2, n4) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7692) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) sum(n2, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7691) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) sum(n12, n4) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (7693) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) all_4_2 = n6 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n14, n2, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (73), (7694) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_4_7 = n16 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n4, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (323), (7695) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) all_4_4 = n16 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7696) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) sum(n6, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7697), (7698) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) sum(n16, n16) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (163), (439), (7699), (7700) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7701) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) all_4_11 = n2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7702) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) pred(n2) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7702) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) succ(n2) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (7704) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_4_5 = n3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (7703) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) all_4_9 = n1 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7705), (7706) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) sum(n1, n3) = all_4_2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7706) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) sum(n1, n14) = all_4_7 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7705) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) sum(n12, n3) = all_4_4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (7707) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) all_4_2 = n4 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n14, n1, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (47), (7708) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) all_4_7 = n15 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n3, n12, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (322), (7709) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) all_4_4 = n15 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7710) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) sum(n4, n0) = all_4_0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7711), (7712) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) sum(n15, n15) = all_4_3 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (111), (412), (7713), (7714) are % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13. % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) all_4_11 = n1 | all_4_11 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7715) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) all_4_11 = n1 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7716) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) pred(n1) = all_4_9 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7716) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) succ(n1) = all_4_5 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (7718) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_4_5 = n2 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (7717) gives: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) all_4_9 = n0 % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7719), (7720) imply: % 190.20/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) sum(n0, n2) = all_4_2 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7720) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) sum(n0, n14) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7719) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) sum(n12, n2) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (7721) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) all_4_2 = n2 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n14, n0, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (7722) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) all_4_7 = n14 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n2, n12, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (321), (7723) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) all_4_4 = n14 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7724) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) sum(n2, n0) = all_4_0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7725), (7726) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) sum(n14, n14) = all_4_3 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (59), (385), (7727), (7728) are % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) all_4_11 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7729) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) pred(n0) = all_4_9 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7729) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) succ(n0) = all_4_5 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (7731) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) all_4_5 = n1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (7730) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) all_4_9 = n25 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7732), (7733) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) sum(n25, n1) = all_4_2 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7559), (7733) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) sum(n25, n14) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7557), (7732) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) sum(n12, n1) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n1, n12, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (320), (7736) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_4_4 = n13 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (7734) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_4_2 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n14, n25, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (671), (7735) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) all_4_7 = n13 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7561), (7738) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) sum(n0, n0) = all_4_0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7737), (7739) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) sum(n13, n13) = all_4_3 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (358), (7740), (7741) are % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7551) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) all_4_11 = n12 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7743) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) pred(n12) = all_4_9 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7743) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) succ(n12) = all_4_5 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (7745) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) all_4_5 = n13 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (7744) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) all_4_9 = n11 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7746) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) sum(all_4_6, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7746), (7747) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) sum(n11, n13) = all_4_2 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (7747) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) sum(n11, all_4_8) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_2, n13, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (7749) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) all_4_2 = n24 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (7751) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) sum(n24, all_4_1) = all_4_0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7742) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_4_10 = n12 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7753) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) pred(n12) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7753) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) succ(n12) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (7755) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_4_8 = n13 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (7754) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_4_6 = n11 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7756), (7757) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) sum(n11, n13) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7757) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) sum(n11, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7756) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) sum(n11, n13) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_4, n13, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (7759) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_4_4 = n24 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n13, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7758), (7759) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_4_1 = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n13, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7758), (7760) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) all_4_1 = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (655), (685), (7752), (7761), (7762), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) are inconsistent by sub-proof #338. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7764) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) all_4_10 = n11 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7765) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) pred(n11) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7765) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) succ(n11) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (7767) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_4_8 = n12 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (7766) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_4_6 = n10 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7768), (7769) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) sum(n10, n12) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7769) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) sum(n10, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7768) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) sum(n11, n12) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (7770) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) all_4_1 = n22 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n13, n10, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (280), (7771) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_4_4 = n23 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n12, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (305), (7772) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) all_4_7 = n23 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (628), (653), (685), (7752), (7773), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774), (7775) are inconsistent by sub-proof #337. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7776) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) all_4_10 = n10 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7777) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) pred(n10) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7777) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) succ(n10) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (7779) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_4_8 = n11 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (7778) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) all_4_6 = n9 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7780), (7781) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) sum(n9, n11) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7781) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) sum(n9, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7780) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) sum(n11, n11) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (7782) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) all_4_1 = n20 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n13, n9, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (254), (7783) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) all_4_4 = n22 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n11, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (304), (7784) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) all_4_7 = n22 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (601), (651), (685), (7752), (7785), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786), (7787) are inconsistent by sub-proof #336. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7788) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) all_4_10 = n9 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7789) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) pred(n9) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7789) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) succ(n9) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (7791) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) all_4_8 = n10 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (7790) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) all_4_6 = n8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7792), (7793) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) sum(n8, n10) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7793) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) sum(n8, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7792) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) sum(n11, n10) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (7794) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) all_4_1 = n18 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n13, n8, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (228), (7795) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_4_4 = n21 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n10, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (303), (7796) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) all_4_7 = n21 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (574), (649), (685), (7752), (7797), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798), (7799) are inconsistent by sub-proof #335. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7800) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) all_4_10 = n8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7801) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) pred(n8) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7801) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) succ(n8) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (7803) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) all_4_8 = n9 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (7802) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_4_6 = n7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7804), (7805) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) sum(n7, n9) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7805) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) sum(n7, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7804) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) sum(n11, n9) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (7806) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) all_4_1 = n16 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n13, n7, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (202), (7807) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) all_4_4 = n20 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n9, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (302), (7808) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) all_4_7 = n20 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (547), (647), (685), (7752), (7809), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810), (7811) are inconsistent by sub-proof #334. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7812) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) all_4_10 = n7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7813) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) pred(n7) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7813) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) succ(n7) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (7815) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) all_4_8 = n8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (7814) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) all_4_6 = n6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7816), (7817) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) sum(n6, n8) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7817) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) sum(n6, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7816) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) sum(n11, n8) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (7818) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) all_4_1 = n14 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n13, n6, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (176), (7819) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) all_4_4 = n19 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n8, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (301), (7820) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) all_4_7 = n19 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (520), (645), (685), (7752), (7821), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822), (7823) are inconsistent by sub-proof #333. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7824) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) all_4_10 = n6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7825) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) pred(n6) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7825) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7827) succ(n6) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (7827) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) all_4_8 = n7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (7826) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) all_4_6 = n5 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7828), (7829) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) sum(n5, n7) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7829) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) sum(n5, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7828) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) sum(n11, n7) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (7830) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) all_4_1 = n12 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n13, n5, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (150), (7831) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_4_4 = n18 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n7, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (300), (7832) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) all_4_7 = n18 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (493), (643), (685), (7752), (7833), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834), (7835) are inconsistent by sub-proof #332. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7836) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) all_4_10 = n5 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7837) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) pred(n5) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7837) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) succ(n5) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (7839) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) all_4_8 = n6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (7838) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) all_4_6 = n4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7840), (7841) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) sum(n4, n6) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7841) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) sum(n4, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7840) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) sum(n11, n6) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7842) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) all_4_1 = n10 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n13, n4, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (124), (7843) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) all_4_4 = n17 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n6, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (299), (7844) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) all_4_7 = n17 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (466), (641), (685), (7752), (7845), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846), (7847) are inconsistent by sub-proof #331. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7848) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) all_4_10 = n4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7849) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) pred(n4) = all_4_6 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7849) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) succ(n4) = all_4_8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (7851) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) all_4_8 = n5 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (7850) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) all_4_6 = n3 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7852), (7853) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) sum(n3, n5) = all_4_1 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7853) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) sum(n3, n13) = all_4_4 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7852) imply: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) sum(n11, n5) = all_4_7 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (7854) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) all_4_1 = n8 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n13, n3, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (98), (7855) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) all_4_4 = n16 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n5, n11, % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (298), (7856) gives: % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) all_4_7 = n16 % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (639), (685), (7752), (7857), % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858), (7859) are inconsistent by sub-proof #330. % 190.20/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7860) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) all_4_10 = n3 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7861) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) pred(n3) = all_4_6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7861) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) succ(n3) = all_4_8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (7863) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) all_4_8 = n4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (7862) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) all_4_6 = n2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7864), (7865) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) sum(n2, n4) = all_4_1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7865) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) sum(n2, n13) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7864) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) sum(n11, n4) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (7866) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) all_4_1 = n6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n13, n2, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (7867) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) all_4_4 = n15 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n4, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (297), (7868) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) all_4_7 = n15 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (637), (685), (7752), (7869), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870), (7871) are inconsistent by sub-proof #329. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7872) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7873) all_4_10 = n2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7873) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874) pred(n2) = all_4_6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7873) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7875) succ(n2) = all_4_8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (7875) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7876) all_4_8 = n3 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (7874) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7877) all_4_6 = n1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7876), (7877) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7878) sum(n1, n3) = all_4_1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7877) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7879) sum(n1, n13) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7876) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7880) sum(n11, n3) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (7878) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881) all_4_1 = n4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n13, n1, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (46), (7879) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882) all_4_4 = n14 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n3, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (296), (7880) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7883) all_4_7 = n14 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (635), (685), (7752), (7881), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882), (7883) are inconsistent by sub-proof #328. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7884) all_4_10 = n1 | all_4_10 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7884) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) all_4_10 = n1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7885) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) pred(n1) = all_4_6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7885) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) succ(n1) = all_4_8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (7887) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) all_4_8 = n2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (7886) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) all_4_6 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7888), (7889) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) sum(n0, n2) = all_4_1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7889) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) sum(n0, n13) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7888) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) sum(n11, n2) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (7890) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) all_4_1 = n2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n13, n0, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (7891) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) all_4_4 = n13 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n2, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (295), (7892) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) all_4_7 = n13 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (633), (685), (7752), (7893), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894), (7895) are inconsistent by sub-proof #327. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) all_4_10 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7896) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) pred(n0) = all_4_6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7896) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) succ(n0) = all_4_8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (7898) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) all_4_8 = n1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (7897) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) all_4_6 = n25 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7899), (7900) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) sum(n25, n1) = all_4_1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7748), (7900) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) sum(n25, n13) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7750), (7899) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7903) sum(n11, n1) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n1, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (294), (7903) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7904) all_4_7 = n12 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (7901) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905) all_4_1 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n13, n25, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (670), (7902) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) all_4_4 = n12 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (631), (685), (7752), (7904), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905), (7906) are inconsistent by sub-proof #326. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7742) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908) all_4_10 = n12 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7908) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7909) pred(n12) = all_4_6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7908) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7910) succ(n12) = all_4_8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (701), (7910) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911) all_4_8 = n13 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (729), (7909) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912) all_4_6 = n11 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7912) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913) sum(n11, all_4_5) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7911), (7912) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) sum(n11, n13) = all_4_1 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (7911) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7915) sum(all_4_9, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n24, all_4_1, n13, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (306), (7914) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) all_4_1 = n24 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (7916) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) sum(all_4_2, n24) = all_4_0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7907) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) all_4_11 = n11 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7918) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) pred(n11) = all_4_9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7918) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) succ(n11) = all_4_5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (7920) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) all_4_5 = n12 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (7919) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) all_4_9 = n10 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7921), (7922) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) sum(n10, n12) = all_4_2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7922) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) sum(n10, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7921) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) sum(n11, n12) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (7923) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_4_2 = n22 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_7, n13, n10, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (280), (7924) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) all_4_7 = n23 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n23, all_4_4, n12, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (305), (7925) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) all_4_4 = n23 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (603), (628), (685), (7917), (7926), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927), (7928) are inconsistent by sub-proof #312. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7929) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) all_4_11 = n10 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7930) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) pred(n10) = all_4_9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7930) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) succ(n10) = all_4_5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (7932) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_4_5 = n11 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (7931) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) all_4_9 = n9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7933), (7934) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) sum(n9, n11) = all_4_2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7934) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) sum(n9, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7933) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) sum(n11, n11) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (7935) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) all_4_2 = n20 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_7, n13, n9, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (254), (7936) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) all_4_7 = n22 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n11, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (304), (7937) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) all_4_4 = n22 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (551), (601), (685), (7917), (7938), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939), (7940) are inconsistent by sub-proof #311. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7941) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) all_4_11 = n9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7942) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) pred(n9) = all_4_9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7942) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) succ(n9) = all_4_5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (7944) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) all_4_5 = n10 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (7943) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) all_4_9 = n8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7945), (7946) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) sum(n8, n10) = all_4_2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7946) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) sum(n8, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7945) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) sum(n11, n10) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (7947) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) all_4_2 = n18 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n13, n8, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (228), (7948) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_4_7 = n21 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n10, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (303), (7949) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_4_4 = n21 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (499), (574), (685), (7917), (7950), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951), (7952) are inconsistent by sub-proof #310. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7953) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_4_11 = n8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7954) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) pred(n8) = all_4_9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7954) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) succ(n8) = all_4_5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (7956) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) all_4_5 = n9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (7955) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_4_9 = n7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7957), (7958) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) sum(n7, n9) = all_4_2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7958) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) sum(n7, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7957) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) sum(n11, n9) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (7959) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) all_4_2 = n16 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n13, n7, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (202), (7960) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) all_4_7 = n20 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n9, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (302), (7961) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) all_4_4 = n20 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (447), (547), (685), (7917), (7962), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963), (7964) are inconsistent by sub-proof #309. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7965) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) all_4_11 = n7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7966) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) pred(n7) = all_4_9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7966) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) succ(n7) = all_4_5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (7968) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) all_4_5 = n8 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (7967) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) all_4_9 = n6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7969), (7970) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) sum(n6, n8) = all_4_2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7970) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) sum(n6, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7969) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) sum(n11, n8) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (7971) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) all_4_2 = n14 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n13, n6, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (176), (7972) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_4_7 = n19 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n8, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (301), (7973) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_4_4 = n19 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (395), (520), (685), (7917), (7974), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975), (7976) are inconsistent by sub-proof #308. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7977) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) all_4_11 = n6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7978) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) pred(n6) = all_4_9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7978) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) succ(n6) = all_4_5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (7980) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) all_4_5 = n7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (7979) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) all_4_9 = n5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7981), (7982) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) sum(n5, n7) = all_4_2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7982) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) sum(n5, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7981) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) sum(n11, n7) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (7983) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) all_4_2 = n12 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n13, n5, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (150), (7984) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_4_7 = n18 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n7, n11, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (300), (7985) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) all_4_4 = n18 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (343), (493), (685), (7917), (7986), % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987), (7988) are inconsistent by sub-proof #307. % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7989) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7990) all_4_11 = n5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7990) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) pred(n5) = all_4_9 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7990) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) succ(n5) = all_4_5 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (7992) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7993) all_4_5 = n6 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (7991) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7994) all_4_9 = n4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (7993), (7994) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7995) sum(n4, n6) = all_4_2 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7994) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7996) sum(n4, n13) = all_4_7 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7993) imply: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7997) sum(n11, n6) = all_4_4 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (7995) gives: % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7998) all_4_2 = n10 % 190.20/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n13, n4, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (124), (7996) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7999) all_4_7 = n17 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n6, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (299), (7997) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8000) all_4_4 = n17 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (291), (466), (685), (7917), (7998), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7999), (8000) are inconsistent by sub-proof #306. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8001) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8001) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8002) all_4_11 = n4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8002) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8003) pred(n4) = all_4_9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8002) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8004) succ(n4) = all_4_5 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8004) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8005) all_4_5 = n5 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8003) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8006) all_4_9 = n3 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8005), (8006) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8007) sum(n3, n5) = all_4_2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (8006) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8008) sum(n3, n13) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (8005) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8009) sum(n11, n5) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8007) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8010) all_4_2 = n8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n13, n3, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (98), (8008) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011) all_4_7 = n16 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n5, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (298), (8009) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8012) all_4_4 = n16 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (239), (439), (685), (7917), (8010), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011), (8012) are inconsistent by sub-proof #305. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8013) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8013) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8014) all_4_11 = n3 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8014) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8015) pred(n3) = all_4_9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8014) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8016) succ(n3) = all_4_5 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8016) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8017) all_4_5 = n4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8015) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8018) all_4_9 = n2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8017), (8018) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8019) sum(n2, n4) = all_4_2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (8018) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8020) sum(n2, n13) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (8017) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8021) sum(n11, n4) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8019) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8022) all_4_2 = n6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n13, n2, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (8020) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8023) all_4_7 = n15 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n4, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (297), (8021) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8024) all_4_4 = n15 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (187), (412), (685), (7917), (8022), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8023), (8024) are inconsistent by sub-proof #304. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8025) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8025) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8026) all_4_11 = n2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8026) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8027) pred(n2) = all_4_9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8026) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8028) succ(n2) = all_4_5 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8028) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8029) all_4_5 = n3 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8027) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8030) all_4_9 = n1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8029), (8030) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8031) sum(n1, n3) = all_4_2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (8030) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8032) sum(n1, n13) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (8029) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8033) sum(n11, n3) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8031) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8034) all_4_2 = n4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n13, n1, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (46), (8032) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_4_7 = n14 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n3, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (296), (8033) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036) all_4_4 = n14 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (135), (385), (685), (7917), (8034), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8035), (8036) are inconsistent by sub-proof #303. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8037) all_4_11 = n1 | all_4_11 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8037) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8038) all_4_11 = n1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8038) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8039) pred(n1) = all_4_9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8038) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040) succ(n1) = all_4_5 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8040) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8041) all_4_5 = n2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8039) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) all_4_9 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8041), (8042) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) sum(n0, n2) = all_4_2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (8042) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) sum(n0, n13) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (8041) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) sum(n11, n2) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8043) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) all_4_2 = n2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n13, n0, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (8044) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) all_4_7 = n13 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n2, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (295), (8045) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) all_4_4 = n13 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (83), (358), (685), (7917), (8046), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047), (8048) are inconsistent by sub-proof #302. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) all_4_11 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8049) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) pred(n0) = all_4_9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8049) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) succ(n0) = all_4_5 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8051) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) all_4_5 = n1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8050) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_4_9 = n25 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8052), (8053) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) sum(n25, n1) = all_4_2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (8053) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) sum(n25, n13) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (8052) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) sum(n11, n1) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n1, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (294), (8056) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) all_4_4 = n12 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8054) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_4_2 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n13, n25, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (670), (8055) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) all_4_7 = n12 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (31), (331), (685), (7917), (8057), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058), (8059) are inconsistent by sub-proof #301. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7907) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) all_4_11 = n11 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8061) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) pred(n11) = all_4_9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8061) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) succ(n11) = all_4_5 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (8063) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) all_4_5 = n12 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (8062) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) all_4_9 = n10 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8064) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) sum(all_4_6, n12) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8064), (8065) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) sum(n10, n12) = all_4_2 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8065) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) sum(n10, all_4_8) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_2, n12, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (8067) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) all_4_2 = n22 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8069) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) sum(n22, all_4_1) = all_4_0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8060) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) all_4_10 = n11 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8071) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) pred(n11) = all_4_6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8071) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) succ(n11) = all_4_8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (8073) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) all_4_8 = n12 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (8072) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) all_4_6 = n10 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8074), (8075) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) sum(n10, n12) = all_4_1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8075) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) sum(n10, n12) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8074) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) sum(n10, n12) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_4, n12, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (8077) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) all_4_4 = n22 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n12, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8076), (8077) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) all_4_1 = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n12, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8076), (8078) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) all_4_1 = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (601), (685), (8070), (8079), (8080), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) are inconsistent by sub-proof #288. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8082) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) all_4_10 = n10 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8083) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) pred(n10) = all_4_6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8083) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) succ(n10) = all_4_8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (8085) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) all_4_8 = n11 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (8084) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) all_4_6 = n9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8086), (8087) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) sum(n9, n11) = all_4_1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8087) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) sum(n9, n12) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8086) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) sum(n10, n11) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (8088) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) all_4_1 = n20 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n12, n9, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (253), (8089) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) all_4_4 = n21 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n11, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (278), (8090) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) all_4_7 = n21 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (574), (599), (685), (8070), (8091), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092), (8093) are inconsistent by sub-proof #287. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8094) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) all_4_10 = n9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8095) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) pred(n9) = all_4_6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8095) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) succ(n9) = all_4_8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (8097) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) all_4_8 = n10 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (8096) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) all_4_6 = n8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8098), (8099) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) sum(n8, n10) = all_4_1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8099) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101) sum(n8, n12) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8098) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102) sum(n10, n10) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (8100) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_4_1 = n18 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n12, n8, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (8101) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) all_4_4 = n20 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n10, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (277), (8102) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) all_4_7 = n20 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (547), (597), (685), (8070), (8103), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104), (8105) are inconsistent by sub-proof #286. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8106) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) all_4_10 = n8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8107) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) pred(n8) = all_4_6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8107) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) succ(n8) = all_4_8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8109) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_4_8 = n9 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8108) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) all_4_6 = n7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8110), (8111) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) sum(n7, n9) = all_4_1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8111) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) sum(n7, n12) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8110) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) sum(n10, n9) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8112) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) all_4_1 = n16 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n12, n7, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (201), (8113) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) all_4_4 = n19 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n9, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (276), (8114) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) all_4_7 = n19 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (520), (595), (685), (8070), (8115), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116), (8117) are inconsistent by sub-proof #285. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8118) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) all_4_10 = n7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8119) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) pred(n7) = all_4_6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8119) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) succ(n7) = all_4_8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (8121) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_4_8 = n8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8120) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) all_4_6 = n6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8122), (8123) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) sum(n6, n8) = all_4_1 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8123) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) sum(n6, n12) = all_4_4 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8122) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) sum(n10, n8) = all_4_7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (8124) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8127) all_4_1 = n14 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n12, n6, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (175), (8125) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128) all_4_4 = n18 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n8, n10, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (275), (8126) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8129) all_4_7 = n18 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (493), (593), (685), (8070), (8127), % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128), (8129) are inconsistent by sub-proof #284. % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8130) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8130) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131) all_4_10 = n6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8131) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8132) pred(n6) = all_4_6 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8131) imply: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8133) succ(n6) = all_4_8 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (8133) gives: % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8134) all_4_8 = n7 % 190.20/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (8132) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8135) all_4_6 = n5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8134), (8135) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8136) sum(n5, n7) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8135) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8137) sum(n5, n12) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8134) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8138) sum(n10, n7) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (8136) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8139) all_4_1 = n12 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n12, n5, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (149), (8137) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140) all_4_4 = n17 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n7, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (8138) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8141) all_4_7 = n17 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (466), (591), (685), (8070), (8139), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140), (8141) are inconsistent by sub-proof #283. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) all_4_10 = n5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8143) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) pred(n5) = all_4_6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8143) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145) succ(n5) = all_4_8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (8145) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146) all_4_8 = n6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (8144) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147) all_4_6 = n4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8146), (8147) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148) sum(n4, n6) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8147) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149) sum(n4, n12) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8146) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150) sum(n10, n6) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8148) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151) all_4_1 = n10 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n12, n4, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (123), (8149) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152) all_4_4 = n16 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n6, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (8150) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8153) all_4_7 = n16 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (589), (685), (8070), (8151), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152), (8153) are inconsistent by sub-proof #282. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8154) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8154) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8155) all_4_10 = n4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8155) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8156) pred(n4) = all_4_6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8155) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8157) succ(n4) = all_4_8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8157) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8158) all_4_8 = n5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8156) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159) all_4_6 = n3 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8158), (8159) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8160) sum(n3, n5) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8159) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161) sum(n3, n12) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8158) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8162) sum(n10, n5) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8160) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163) all_4_1 = n8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n12, n3, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (8161) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164) all_4_4 = n15 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n5, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (8162) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8165) all_4_7 = n15 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (587), (685), (8070), (8163), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164), (8165) are inconsistent by sub-proof #281. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8166) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8167) all_4_10 = n3 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8167) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8168) pred(n3) = all_4_6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8167) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8169) succ(n3) = all_4_8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8169) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170) all_4_8 = n4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8168) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8171) all_4_6 = n2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8170), (8171) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8172) sum(n2, n4) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8171) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8173) sum(n2, n12) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8170) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8174) sum(n10, n4) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8172) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) all_4_1 = n6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n12, n2, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (71), (8173) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) all_4_4 = n14 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n4, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (8174) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) all_4_7 = n14 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (585), (685), (8070), (8175), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176), (8177) are inconsistent by sub-proof #280. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8178) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) all_4_10 = n2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8179) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) pred(n2) = all_4_6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8179) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) succ(n2) = all_4_8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8181) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) all_4_8 = n3 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8180) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) all_4_6 = n1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8182), (8183) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) sum(n1, n3) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8183) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) sum(n1, n12) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8182) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) sum(n10, n3) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8184) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) all_4_1 = n4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n12, n1, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (45), (8185) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) all_4_4 = n13 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n3, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (8186) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) all_4_7 = n13 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (583), (685), (8070), (8187), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188), (8189) are inconsistent by sub-proof #279. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) all_4_10 = n1 | all_4_10 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8190) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) all_4_10 = n1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8191) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) pred(n1) = all_4_6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8191) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) succ(n1) = all_4_8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8193) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8194) all_4_8 = n2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8192) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8195) all_4_6 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8194), (8195) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196) sum(n0, n2) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8195) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8197) sum(n0, n12) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8194) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8198) sum(n10, n2) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8196) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8199) all_4_1 = n2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n12, n0, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (8197) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) all_4_4 = n12 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n2, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (8198) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) all_4_7 = n12 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (581), (685), (8070), (8199), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200), (8201) are inconsistent by sub-proof #278. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) all_4_10 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8202) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) pred(n0) = all_4_6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8202) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) succ(n0) = all_4_8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8204) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) all_4_8 = n1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8203) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) all_4_6 = n25 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8205), (8206) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) sum(n25, n1) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8066), (8206) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) sum(n25, n12) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8205) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) sum(n10, n1) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n1, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (268), (8209) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) all_4_7 = n11 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8207) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211) all_4_1 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n12, n25, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (669), (8208) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) all_4_4 = n11 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (579), (685), (8070), (8210), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211), (8212) are inconsistent by sub-proof #277. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8060) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) all_4_10 = n11 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8214) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) pred(n11) = all_4_6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8214) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) succ(n11) = all_4_8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (700), (8216) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) all_4_8 = n12 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (8215) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) all_4_6 = n10 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8218) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) sum(n10, all_4_5) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8217), (8218) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) sum(n10, n12) = all_4_1 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8217) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) sum(all_4_9, n12) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n22, all_4_1, n12, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (279), (8220) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) all_4_1 = n22 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8222) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) sum(all_4_2, n22) = all_4_0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8213) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_4_11 = n10 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8224) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) pred(n10) = all_4_9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8224) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8226) succ(n10) = all_4_5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (8226) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8227) all_4_5 = n11 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (8225) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8228) all_4_9 = n9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8227), (8228) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) sum(n9, n11) = all_4_2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8228) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) sum(n9, n12) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8227) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) sum(n10, n11) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (8229) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) all_4_2 = n20 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_7, n12, n9, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (253), (8230) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) all_4_7 = n21 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n21, all_4_4, n11, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (278), (8231) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) all_4_4 = n21 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (549), (574), (685), (8223), (8232), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233), (8234) are inconsistent by sub-proof #264. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8235) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) all_4_11 = n9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8236) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) pred(n9) = all_4_9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8236) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) succ(n9) = all_4_5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (8238) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) all_4_5 = n10 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (8237) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) all_4_9 = n8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8239), (8240) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) sum(n8, n10) = all_4_2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8240) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) sum(n8, n12) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8239) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) sum(n10, n10) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (8241) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) all_4_2 = n18 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_7, n12, n8, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (8242) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) all_4_7 = n20 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n10, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (277), (8243) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_4_4 = n20 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (497), (547), (685), (8223), (8244), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245), (8246) are inconsistent by sub-proof #263. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8247) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) all_4_11 = n8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8248) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) pred(n8) = all_4_9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8248) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) succ(n8) = all_4_5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8250) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_4_5 = n9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8249) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) all_4_9 = n7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8251), (8252) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) sum(n7, n9) = all_4_2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8252) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) sum(n7, n12) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8251) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) sum(n10, n9) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8253) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_4_2 = n16 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n12, n7, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (201), (8254) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) all_4_7 = n19 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n9, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (276), (8255) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_4_4 = n19 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (445), (520), (685), (8223), (8256), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257), (8258) are inconsistent by sub-proof #262. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8259) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_4_11 = n7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8260) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) pred(n7) = all_4_9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8260) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) succ(n7) = all_4_5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (8262) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) all_4_5 = n8 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8261) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_4_9 = n6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8263), (8264) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) sum(n6, n8) = all_4_2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8264) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) sum(n6, n12) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8263) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) sum(n10, n8) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (8265) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) all_4_2 = n14 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n12, n6, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (175), (8266) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) all_4_7 = n18 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n8, n10, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (275), (8267) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_4_4 = n18 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (393), (493), (685), (8223), (8268), % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269), (8270) are inconsistent by sub-proof #261. % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8271) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) all_4_11 = n6 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8272) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) pred(n6) = all_4_9 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8272) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) succ(n6) = all_4_5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (8274) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_4_5 = n7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (8273) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) all_4_9 = n5 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8275), (8276) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) sum(n5, n7) = all_4_2 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8276) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) sum(n5, n12) = all_4_7 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8275) imply: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) sum(n10, n7) = all_4_4 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (8277) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8280) all_4_2 = n12 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n12, n5, % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (149), (8278) gives: % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281) all_4_7 = n17 % 190.20/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n7, n10, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (8279) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282) all_4_4 = n17 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (341), (466), (685), (8223), (8280), % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281), (8282) are inconsistent by sub-proof #260. % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8283) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284) all_4_11 = n5 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8284) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285) pred(n5) = all_4_9 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8284) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8286) succ(n5) = all_4_5 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (8286) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8287) all_4_5 = n6 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (8285) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8288) all_4_9 = n4 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8287), (8288) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8289) sum(n4, n6) = all_4_2 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8288) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8290) sum(n4, n12) = all_4_7 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8287) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) sum(n10, n6) = all_4_4 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8289) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) all_4_2 = n10 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n12, n4, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (123), (8290) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) all_4_7 = n16 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n6, n10, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (8291) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) all_4_4 = n16 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (289), (439), (685), (8223), (8292), % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293), (8294) are inconsistent by sub-proof #259. % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8295) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8296) all_4_11 = n4 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8296) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) pred(n4) = all_4_9 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8296) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) succ(n4) = all_4_5 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8298) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) all_4_5 = n5 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8297) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) all_4_9 = n3 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8299), (8300) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8301) sum(n3, n5) = all_4_2 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8300) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8302) sum(n3, n12) = all_4_7 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8299) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8303) sum(n10, n5) = all_4_4 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8301) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8304) all_4_2 = n8 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n12, n3, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (8302) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305) all_4_7 = n15 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n5, n10, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (8303) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8306) all_4_4 = n15 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (237), (412), (685), (8223), (8304), % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305), (8306) are inconsistent by sub-proof #258. % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8307) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8307) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8308) all_4_11 = n3 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8308) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8309) pred(n3) = all_4_9 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8308) imply: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8310) succ(n3) = all_4_5 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8310) gives: % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8311) all_4_5 = n4 % 190.20/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8309) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312) all_4_9 = n2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8311), (8312) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8313) sum(n2, n4) = all_4_2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8312) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8314) sum(n2, n12) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8311) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8315) sum(n10, n4) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8313) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316) all_4_2 = n6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n12, n2, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (71), (8314) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317) all_4_7 = n14 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n4, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (8315) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318) all_4_4 = n14 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (185), (385), (685), (8223), (8316), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317), (8318) are inconsistent by sub-proof #257. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8319) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320) all_4_11 = n2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8320) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8321) pred(n2) = all_4_9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8320) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8322) succ(n2) = all_4_5 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8322) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8323) all_4_5 = n3 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8321) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8324) all_4_9 = n1 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8323), (8324) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325) sum(n1, n3) = all_4_2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8324) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326) sum(n1, n12) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8323) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327) sum(n10, n3) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8325) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328) all_4_2 = n4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n12, n1, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (45), (8326) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8329) all_4_7 = n13 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n3, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (8327) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330) all_4_4 = n13 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (133), (358), (685), (8223), (8328), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8329), (8330) are inconsistent by sub-proof #256. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8331) all_4_11 = n1 | all_4_11 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8331) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8332) all_4_11 = n1 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8332) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8333) pred(n1) = all_4_9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8332) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8334) succ(n1) = all_4_5 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8334) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8335) all_4_5 = n2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8333) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8336) all_4_9 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8335), (8336) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8337) sum(n0, n2) = all_4_2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8336) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8338) sum(n0, n12) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8335) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8339) sum(n10, n2) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8337) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8340) all_4_2 = n2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n12, n0, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (8338) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8341) all_4_7 = n12 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n2, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (8339) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8342) all_4_4 = n12 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (81), (331), (685), (8223), (8340), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8341), (8342) are inconsistent by sub-proof #255. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8343) all_4_11 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8343) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8344) pred(n0) = all_4_9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8343) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8345) succ(n0) = all_4_5 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8345) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346) all_4_5 = n1 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8344) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8347) all_4_9 = n25 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8346), (8347) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8348) sum(n25, n1) = all_4_2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8347) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8349) sum(n25, n12) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8346) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8350) sum(n10, n1) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n1, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (268), (8350) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8351) all_4_4 = n11 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8348) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8352) all_4_2 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n12, n25, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (669), (8349) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8353) all_4_7 = n11 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (29), (304), (685), (8223), (8351), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8352), (8353) are inconsistent by sub-proof #254. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8354) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8213) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8355) all_4_11 = n10 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8355) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8356) pred(n10) = all_4_9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8355) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8357) succ(n10) = all_4_5 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (8357) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8358) all_4_5 = n11 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (8356) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8359) all_4_9 = n9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8358) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8360) sum(all_4_6, n11) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8358), (8359) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8361) sum(n9, n11) = all_4_2 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8359) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8362) sum(n9, all_4_8) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_2, n11, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (8361) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8363) all_4_2 = n20 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8363) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8364) sum(n20, all_4_1) = all_4_0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8354) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8365) all_4_10 = n10 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8365) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8366) pred(n10) = all_4_6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8365) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8367) succ(n10) = all_4_8 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (8367) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8368) all_4_8 = n11 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (8366) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8369) all_4_6 = n9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8368), (8369) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8370) sum(n9, n11) = all_4_1 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8369) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8371) sum(n9, n11) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8368) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372) sum(n9, n11) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_4, n11, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (8371) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8373) all_4_4 = n20 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n11, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8370), (8371) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8374) all_4_1 = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n11, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8370), (8372) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375) all_4_1 = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (547), (685), (8364), (8373), (8374), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375) are inconsistent by sub-proof #242. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8376) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8376) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8377) all_4_10 = n9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8377) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8378) pred(n9) = all_4_6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8377) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379) succ(n9) = all_4_8 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (8379) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8380) all_4_8 = n10 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (8378) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8381) all_4_6 = n8 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8380), (8381) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8382) sum(n8, n10) = all_4_1 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8381) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8383) sum(n8, n11) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8380) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8384) sum(n9, n10) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (8382) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8385) all_4_1 = n18 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n11, n8, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (226), (8383) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8386) all_4_4 = n19 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n10, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (251), (8384) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8387) all_4_7 = n19 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (520), (545), (685), (8364), (8385), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8386), (8387) are inconsistent by sub-proof #241. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8388) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8388) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8389) all_4_10 = n8 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8389) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8390) pred(n8) = all_4_6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8389) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8391) succ(n8) = all_4_8 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8391) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8392) all_4_8 = n9 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8390) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8393) all_4_6 = n7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8392), (8393) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8394) sum(n7, n9) = all_4_1 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8393) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8395) sum(n7, n11) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8392) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8396) sum(n9, n9) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8394) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8397) all_4_1 = n16 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n11, n7, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (200), (8395) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8398) all_4_4 = n18 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n9, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (250), (8396) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8399) all_4_7 = n18 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (493), (543), (685), (8364), (8397), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8398), (8399) are inconsistent by sub-proof #240. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8400) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8400) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8401) all_4_10 = n7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8401) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8402) pred(n7) = all_4_6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8401) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8403) succ(n7) = all_4_8 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (8403) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8404) all_4_8 = n8 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8402) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8405) all_4_6 = n6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8404), (8405) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8406) sum(n6, n8) = all_4_1 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8405) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8407) sum(n6, n11) = all_4_4 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8404) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8408) sum(n9, n8) = all_4_7 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (8406) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8409) all_4_1 = n14 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n11, n6, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (174), (8407) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8410) all_4_4 = n17 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n8, n9, % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (249), (8408) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8411) all_4_7 = n17 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (466), (541), (685), (8364), (8409), % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8410), (8411) are inconsistent by sub-proof #239. % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8412) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8412) gives: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413) all_4_10 = n6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8413) imply: % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8414) pred(n6) = all_4_6 % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8413) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8415) succ(n6) = all_4_8 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (8415) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8416) all_4_8 = n7 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (8414) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8417) all_4_6 = n5 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8416), (8417) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8418) sum(n5, n7) = all_4_1 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8417) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419) sum(n5, n11) = all_4_4 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8416) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8420) sum(n9, n7) = all_4_7 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (8418) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8421) all_4_1 = n12 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n11, n5, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (148), (8419) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8422) all_4_4 = n16 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n7, n9, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (8420) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8423) all_4_7 = n16 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (539), (685), (8364), (8421), % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8422), (8423) are inconsistent by sub-proof #238. % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8424) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8425) all_4_10 = n5 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8425) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8426) pred(n5) = all_4_6 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8425) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8427) succ(n5) = all_4_8 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (8427) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8428) all_4_8 = n6 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (8426) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8429) all_4_6 = n4 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8428), (8429) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8430) sum(n4, n6) = all_4_1 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8429) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8431) sum(n4, n11) = all_4_4 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8428) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8432) sum(n9, n6) = all_4_7 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8430) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8433) all_4_1 = n10 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n11, n4, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (8431) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8434) all_4_4 = n15 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n6, n9, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (247), (8432) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435) all_4_7 = n15 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (537), (685), (8364), (8433), % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8434), (8435) are inconsistent by sub-proof #237. % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8436) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8436) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_4_10 = n4 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8437) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) pred(n4) = all_4_6 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8437) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439) succ(n4) = all_4_8 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8439) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8440) all_4_8 = n5 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8438) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8441) all_4_6 = n3 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8440), (8441) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8442) sum(n3, n5) = all_4_1 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8441) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8443) sum(n3, n11) = all_4_4 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8440) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8444) sum(n9, n5) = all_4_7 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8442) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8445) all_4_1 = n8 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n11, n3, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (8443) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446) all_4_4 = n14 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n5, n9, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (246), (8444) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447) all_4_7 = n14 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (535), (685), (8364), (8445), % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446), (8447) are inconsistent by sub-proof #236. % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8448) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8449) all_4_10 = n3 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8449) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8450) pred(n3) = all_4_6 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8449) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8451) succ(n3) = all_4_8 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8451) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8452) all_4_8 = n4 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8450) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8453) all_4_6 = n2 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8452), (8453) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8454) sum(n2, n4) = all_4_1 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8453) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8455) sum(n2, n11) = all_4_4 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8452) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456) sum(n9, n4) = all_4_7 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8454) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8457) all_4_1 = n6 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n11, n2, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (70), (8455) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8458) all_4_4 = n13 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n4, n9, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (245), (8456) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8459) all_4_7 = n13 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (533), (685), (8364), (8457), % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8458), (8459) are inconsistent by sub-proof #235. % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8460) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8460) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8461) all_4_10 = n2 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8461) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8462) pred(n2) = all_4_6 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8461) imply: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8463) succ(n2) = all_4_8 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8463) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8464) all_4_8 = n3 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8462) gives: % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465) all_4_6 = n1 % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.43/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8464), (8465) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466) sum(n1, n3) = all_4_1 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8465) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8467) sum(n1, n11) = all_4_4 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8464) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8468) sum(n9, n3) = all_4_7 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8466) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8469) all_4_1 = n4 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n11, n1, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (8467) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470) all_4_4 = n12 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n3, n9, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (244), (8468) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8471) all_4_7 = n12 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (531), (685), (8364), (8469), % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470), (8471) are inconsistent by sub-proof #234. % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) all_4_10 = n1 | all_4_10 = n0 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8472) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) all_4_10 = n1 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8473) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) pred(n1) = all_4_6 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8473) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) succ(n1) = all_4_8 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8475) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_4_8 = n2 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8474) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) all_4_6 = n0 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8476), (8477) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) sum(n0, n2) = all_4_1 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8477) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) sum(n0, n11) = all_4_4 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8476) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) sum(n9, n2) = all_4_7 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8478) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) all_4_1 = n2 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n11, n0, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (8479) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_4_4 = n11 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n2, n9, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (243), (8480) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_4_7 = n11 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (529), (685), (8364), (8481), % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482), (8483) are inconsistent by sub-proof #233. % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) all_4_10 = n0 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8484) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) pred(n0) = all_4_6 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8484) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) succ(n0) = all_4_8 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8486) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) all_4_8 = n1 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8485) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) all_4_6 = n25 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8487), (8488) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) sum(n25, n1) = all_4_1 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8360), (8488) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) sum(n25, n11) = all_4_4 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8362), (8487) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) sum(n9, n1) = all_4_7 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n1, n9, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (242), (8491) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) all_4_7 = n10 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8489) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) all_4_1 = n0 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n11, n25, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (668), (8490) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) all_4_4 = n10 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (527), (685), (8364), (8492), % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493), (8494) are inconsistent by sub-proof #232. % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8354) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) all_4_10 = n10 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8496) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) pred(n10) = all_4_6 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8496) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) succ(n10) = all_4_8 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (699), (8498) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) all_4_8 = n11 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (727), (8497) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) all_4_6 = n9 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8500) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) sum(n9, all_4_5) = all_4_4 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8499), (8500) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) sum(n9, n11) = all_4_1 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8499) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) sum(all_4_9, n11) = all_4_7 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n20, all_4_1, n11, n9, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (8502) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) all_4_1 = n20 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8504) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) sum(all_4_2, n20) = all_4_0 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8495) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) all_4_11 = n9 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8506) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) pred(n9) = all_4_9 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8506) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) succ(n9) = all_4_5 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (8508) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) all_4_5 = n10 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (8507) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) all_4_9 = n8 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8509), (8510) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) sum(n8, n10) = all_4_2 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8510) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) sum(n8, n11) = all_4_7 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8509) imply: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) sum(n9, n10) = all_4_4 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (8511) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_4_2 = n18 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_7, n11, n8, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (226), (8512) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) all_4_7 = n19 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n19, all_4_4, n10, n9, % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (251), (8513) gives: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) all_4_4 = n19 % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (495), (520), (685), (8505), (8514), % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515), (8516) are inconsistent by sub-proof #220. % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8517) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) all_4_11 = n8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8518) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) pred(n8) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8518) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) succ(n8) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8520) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) all_4_5 = n9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8519) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) all_4_9 = n7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8521), (8522) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) sum(n7, n9) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8522) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8524) sum(n7, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8521) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8525) sum(n9, n9) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8523) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8526) all_4_2 = n16 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_7, n11, n7, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (200), (8524) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) all_4_7 = n18 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n9, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (250), (8525) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) all_4_4 = n18 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (443), (493), (685), (8505), (8526), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527), (8528) are inconsistent by sub-proof #219. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8529) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8530) all_4_11 = n7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8530) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531) pred(n7) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8530) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) succ(n7) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (8532) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) all_4_5 = n8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8531) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) all_4_9 = n6 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8533), (8534) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) sum(n6, n8) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8534) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8536) sum(n6, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8533) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8537) sum(n9, n8) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (8535) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538) all_4_2 = n14 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n11, n6, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (174), (8536) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8539) all_4_7 = n17 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n8, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (249), (8537) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8540) all_4_4 = n17 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (391), (466), (685), (8505), (8538), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8539), (8540) are inconsistent by sub-proof #218. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8541) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8541) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542) all_4_11 = n6 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8542) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543) pred(n6) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8542) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544) succ(n6) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (8544) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8545) all_4_5 = n7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (8543) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8546) all_4_9 = n5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8545), (8546) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8547) sum(n5, n7) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8546) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8548) sum(n5, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8545) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8549) sum(n9, n7) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (8547) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8550) all_4_2 = n12 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n11, n5, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (148), (8548) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551) all_4_7 = n16 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n7, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (8549) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8552) all_4_4 = n16 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (339), (439), (685), (8505), (8550), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551), (8552) are inconsistent by sub-proof #217. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8553) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8553) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8554) all_4_11 = n5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8554) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555) pred(n5) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8554) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8556) succ(n5) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (8556) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8557) all_4_5 = n6 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (8555) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8558) all_4_9 = n4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8557), (8558) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8559) sum(n4, n6) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8558) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8560) sum(n4, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8557) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561) sum(n9, n6) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8559) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8562) all_4_2 = n10 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n11, n4, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (8560) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8563) all_4_7 = n15 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n6, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (247), (8561) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8564) all_4_4 = n15 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (287), (412), (685), (8505), (8562), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8563), (8564) are inconsistent by sub-proof #216. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8565) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8566) all_4_11 = n4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8566) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8567) pred(n4) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8566) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8568) succ(n4) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8568) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8569) all_4_5 = n5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8567) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8570) all_4_9 = n3 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8569), (8570) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8571) sum(n3, n5) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8570) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8572) sum(n3, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8569) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8573) sum(n9, n5) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8571) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8574) all_4_2 = n8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n11, n3, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (8572) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8575) all_4_7 = n14 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n5, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (246), (8573) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8576) all_4_4 = n14 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (235), (385), (685), (8505), (8574), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8575), (8576) are inconsistent by sub-proof #215. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8577) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8577) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8578) all_4_11 = n3 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8578) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8579) pred(n3) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8578) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8580) succ(n3) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8580) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8581) all_4_5 = n4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8579) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8582) all_4_9 = n2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8581), (8582) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8583) sum(n2, n4) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8582) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584) sum(n2, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8581) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8585) sum(n9, n4) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8583) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8586) all_4_2 = n6 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n11, n2, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (70), (8584) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587) all_4_7 = n13 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n4, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (245), (8585) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8588) all_4_4 = n13 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (183), (358), (685), (8505), (8586), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587), (8588) are inconsistent by sub-proof #214. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8589) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8589) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8590) all_4_11 = n2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8590) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591) pred(n2) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8590) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592) succ(n2) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8592) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8593) all_4_5 = n3 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8591) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594) all_4_9 = n1 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8593), (8594) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8595) sum(n1, n3) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8594) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8596) sum(n1, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8593) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8597) sum(n9, n3) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8595) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598) all_4_2 = n4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n11, n1, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (8596) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599) all_4_7 = n12 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n3, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (244), (8597) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600) all_4_4 = n12 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (131), (331), (685), (8505), (8598), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599), (8600) are inconsistent by sub-proof #213. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601) all_4_11 = n1 | all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8601) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8602) all_4_11 = n1 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8602) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8603) pred(n1) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8602) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604) succ(n1) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8604) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8605) all_4_5 = n2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8603) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8606) all_4_9 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8605), (8606) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8607) sum(n0, n2) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8606) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608) sum(n0, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8605) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8609) sum(n9, n2) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8607) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610) all_4_2 = n2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n11, n0, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (8608) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611) all_4_7 = n11 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n2, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (243), (8609) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8612) all_4_4 = n11 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (304), (685), (8505), (8610), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611), (8612) are inconsistent by sub-proof #212. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613) all_4_11 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8613) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8614) pred(n0) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8613) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8615) succ(n0) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8615) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8616) all_4_5 = n1 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8614) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) all_4_9 = n25 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8616), (8617) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) sum(n25, n1) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8503), (8617) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) sum(n25, n11) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8501), (8616) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) sum(n9, n1) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n1, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (242), (8620) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) all_4_4 = n10 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8618) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) all_4_2 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n11, n25, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (668), (8619) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) all_4_7 = n10 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (27), (277), (685), (8505), (8621), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622), (8623) are inconsistent by sub-proof #211. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8495) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) all_4_11 = n9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8625) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) pred(n9) = all_4_9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8625) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) succ(n9) = all_4_5 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (8627) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) all_4_5 = n10 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (8626) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) all_4_9 = n8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8628) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) sum(all_4_6, n10) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8628), (8629) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) sum(n8, n10) = all_4_2 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8629) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) sum(n8, all_4_8) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_2, n10, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (8631) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) all_4_2 = n18 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8633) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) sum(n18, all_4_1) = all_4_0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8624) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) all_4_10 = n9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8635) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) pred(n9) = all_4_6 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8635) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) succ(n9) = all_4_8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (8637) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) all_4_8 = n10 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (8636) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) all_4_6 = n8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8638), (8639) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) sum(n8, n10) = all_4_1 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8639) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) sum(n8, n10) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8638) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) sum(n8, n10) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_4, n10, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (8641) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) all_4_4 = n18 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n10, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8640), (8641) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) all_4_1 = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n10, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8640), (8642) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) all_4_1 = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (493), (685), (8634), (8643), (8644), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) are inconsistent by sub-proof #200. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8646) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) all_4_10 = n8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8647) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) pred(n8) = all_4_6 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8647) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) succ(n8) = all_4_8 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8649) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) all_4_8 = n9 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8648) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) all_4_6 = n7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8650), (8651) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) sum(n7, n9) = all_4_1 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8651) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) sum(n7, n10) = all_4_4 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8650) imply: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) sum(n8, n9) = all_4_7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8652) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) all_4_1 = n16 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n10, n7, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (199), (8653) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) all_4_4 = n17 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n9, n8, % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (224), (8654) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) all_4_7 = n17 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (466), (491), (685), (8634), (8655), % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656), (8657) are inconsistent by sub-proof #199. % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8658) gives: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) all_4_10 = n7 % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8659) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) pred(n7) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8659) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) succ(n7) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (8661) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) all_4_8 = n8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8660) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) all_4_6 = n6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8662), (8663) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) sum(n6, n8) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8663) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) sum(n6, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8662) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) sum(n8, n8) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (8664) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) all_4_1 = n14 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n10, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (8665) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) all_4_4 = n16 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n8, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (223), (8666) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) all_4_7 = n16 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (489), (685), (8634), (8667), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668), (8669) are inconsistent by sub-proof #198. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8670) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) all_4_10 = n6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8671) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8672) pred(n6) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8671) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673) succ(n6) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (8673) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8674) all_4_8 = n7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (8672) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8675) all_4_6 = n5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8674), (8675) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8676) sum(n5, n7) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8675) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8677) sum(n5, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8674) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) sum(n8, n7) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (8676) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) all_4_1 = n12 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n10, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (147), (8677) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) all_4_4 = n15 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n7, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (8678) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681) all_4_7 = n15 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (487), (685), (8634), (8679), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680), (8681) are inconsistent by sub-proof #197. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8682) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683) all_4_10 = n5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8683) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8684) pred(n5) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8683) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8685) succ(n5) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (8685) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8686) all_4_8 = n6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (8684) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8687) all_4_6 = n4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8686), (8687) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8688) sum(n4, n6) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8687) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8689) sum(n4, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8686) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8690) sum(n8, n6) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8688) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8691) all_4_1 = n10 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n10, n4, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (8689) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) all_4_4 = n14 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n6, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (8690) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) all_4_7 = n14 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (485), (685), (8634), (8691), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692), (8693) are inconsistent by sub-proof #196. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8694) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) all_4_10 = n4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8695) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) pred(n4) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8695) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) succ(n4) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8697) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) all_4_8 = n5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8696) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) all_4_6 = n3 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8698), (8699) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) sum(n3, n5) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8699) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) sum(n3, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8698) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) sum(n8, n5) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8700) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) all_4_1 = n8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n10, n3, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (8701) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) all_4_4 = n13 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n5, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (8702) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) all_4_7 = n13 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (483), (685), (8634), (8703), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704), (8705) are inconsistent by sub-proof #195. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8706) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) all_4_10 = n3 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8707) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) pred(n3) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8707) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) succ(n3) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8709) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) all_4_8 = n4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8708) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) all_4_6 = n2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8710), (8711) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) sum(n2, n4) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8711) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) sum(n2, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8710) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) sum(n8, n4) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8712) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) all_4_1 = n6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n10, n2, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (69), (8713) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_4_4 = n12 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n4, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (8714) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) all_4_7 = n12 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (481), (685), (8634), (8715), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716), (8717) are inconsistent by sub-proof #194. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8718) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8719) all_4_10 = n2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8719) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) pred(n2) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8719) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) succ(n2) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8721) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) all_4_8 = n3 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8720) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) all_4_6 = n1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8722), (8723) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) sum(n1, n3) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8723) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725) sum(n1, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8722) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8726) sum(n8, n3) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8724) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8727) all_4_1 = n4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n10, n1, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (8725) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) all_4_4 = n11 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n3, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (8726) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) all_4_7 = n11 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (479), (685), (8634), (8727), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8728), (8729) are inconsistent by sub-proof #193. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) all_4_10 = n1 | all_4_10 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8730) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) all_4_10 = n1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8731) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) pred(n1) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8731) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) succ(n1) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8733) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) all_4_8 = n2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8732) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_4_6 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8734), (8735) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) sum(n0, n2) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8735) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) sum(n0, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8734) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) sum(n8, n2) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8736) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_4_1 = n2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n10, n0, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (8737) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_4_4 = n10 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n2, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (217), (8738) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) all_4_7 = n10 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (477), (685), (8634), (8739), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740), (8741) are inconsistent by sub-proof #192. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) all_4_10 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8742) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) pred(n0) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8742) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) succ(n0) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8744) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) all_4_8 = n1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8743) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) all_4_6 = n25 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8745), (8746) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) sum(n25, n1) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8630), (8746) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) sum(n25, n10) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8632), (8745) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) sum(n8, n1) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n1, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (216), (8749) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) all_4_7 = n9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8747) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) all_4_1 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n10, n25, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (667), (8748) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) all_4_4 = n9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (475), (685), (8634), (8750), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751), (8752) are inconsistent by sub-proof #191. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8624) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) all_4_10 = n9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8754) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) pred(n9) = all_4_6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8754) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) succ(n9) = all_4_8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (698), (8756) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) all_4_8 = n10 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (8755) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) all_4_6 = n8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8758) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) sum(n8, all_4_5) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8757), (8758) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) sum(n8, n10) = all_4_1 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8757) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8761) sum(all_4_9, n10) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n18, all_4_1, n10, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (8760) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762) all_4_1 = n18 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8762) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763) sum(all_4_2, n18) = all_4_0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8753) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8764) all_4_11 = n8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8764) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765) pred(n8) = all_4_9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8764) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766) succ(n8) = all_4_5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8766) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767) all_4_5 = n9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8765) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8768) all_4_9 = n7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8767), (8768) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769) sum(n7, n9) = all_4_2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8768) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8770) sum(n7, n10) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8767) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8771) sum(n8, n9) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8769) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8772) all_4_2 = n16 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_7, n10, n7, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (199), (8770) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773) all_4_7 = n17 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n17, all_4_4, n9, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (224), (8771) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8774) all_4_4 = n17 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (441), (466), (685), (8763), (8772), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773), (8774) are inconsistent by sub-proof #180. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8775) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8775) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8776) all_4_11 = n7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8776) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8777) pred(n7) = all_4_9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8776) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8778) succ(n7) = all_4_5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (8778) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779) all_4_5 = n8 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8777) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780) all_4_9 = n6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8779), (8780) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781) sum(n6, n8) = all_4_2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8780) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) sum(n6, n10) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8779) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) sum(n8, n8) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (8781) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) all_4_2 = n14 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_7, n10, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (173), (8782) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785) all_4_7 = n16 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n8, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (223), (8783) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) all_4_4 = n16 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (389), (439), (685), (8763), (8784), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785), (8786) are inconsistent by sub-proof #179. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8787) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) all_4_11 = n6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8788) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) pred(n6) = all_4_9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8788) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) succ(n6) = all_4_5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (8790) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) all_4_5 = n7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (8789) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) all_4_9 = n5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8791), (8792) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) sum(n5, n7) = all_4_2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8792) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) sum(n5, n10) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8791) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) sum(n8, n7) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (8793) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) all_4_2 = n12 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n10, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (147), (8794) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) all_4_7 = n15 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n7, n8, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (222), (8795) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) all_4_4 = n15 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (337), (412), (685), (8763), (8796), % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797), (8798) are inconsistent by sub-proof #178. % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8799) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) all_4_11 = n5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8800) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8801) pred(n5) = all_4_9 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8800) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) succ(n5) = all_4_5 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (8802) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) all_4_5 = n6 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (8801) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) all_4_9 = n4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8803), (8804) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) sum(n4, n6) = all_4_2 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8804) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8806) sum(n4, n10) = all_4_7 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8803) imply: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8807) sum(n8, n6) = all_4_4 % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8805) gives: % 190.55/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8808) all_4_2 = n10 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n10, n4, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (8806) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809) all_4_7 = n14 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n6, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (221), (8807) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8810) all_4_4 = n14 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (285), (385), (685), (8763), (8808), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809), (8810) are inconsistent by sub-proof #177. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8811) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8811) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8812) all_4_11 = n4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8812) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813) pred(n4) = all_4_9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8812) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8814) succ(n4) = all_4_5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8814) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8815) all_4_5 = n5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8813) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8816) all_4_9 = n3 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8815), (8816) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8817) sum(n3, n5) = all_4_2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8816) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8818) sum(n3, n10) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8815) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819) sum(n8, n5) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8817) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) all_4_2 = n8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n10, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (95), (8818) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) all_4_7 = n13 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n5, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (220), (8819) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) all_4_4 = n13 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (233), (358), (685), (8763), (8820), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821), (8822) are inconsistent by sub-proof #176. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8823) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) all_4_11 = n3 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8824) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) pred(n3) = all_4_9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8824) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) succ(n3) = all_4_5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8826) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) all_4_5 = n4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8825) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) all_4_9 = n2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8827), (8828) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) sum(n2, n4) = all_4_2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8828) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) sum(n2, n10) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8827) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) sum(n8, n4) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8829) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) all_4_2 = n6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n10, n2, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (69), (8830) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) all_4_7 = n12 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n4, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (219), (8831) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) all_4_4 = n12 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (181), (331), (685), (8763), (8832), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833), (8834) are inconsistent by sub-proof #175. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8835) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) all_4_11 = n2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8836) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) pred(n2) = all_4_9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8836) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) succ(n2) = all_4_5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8838) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) all_4_5 = n3 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8837) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_4_9 = n1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8839), (8840) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) sum(n1, n3) = all_4_2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8840) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) sum(n1, n10) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8839) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) sum(n8, n3) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8841) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) all_4_2 = n4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n10, n1, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (8842) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) all_4_7 = n11 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n3, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (8843) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) all_4_4 = n11 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (129), (304), (685), (8763), (8844), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845), (8846) are inconsistent by sub-proof #174. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) all_4_11 = n1 | all_4_11 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8847) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) all_4_11 = n1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8848) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) pred(n1) = all_4_9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8848) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) succ(n1) = all_4_5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8850) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) all_4_5 = n2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8849) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_4_9 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8851), (8852) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) sum(n0, n2) = all_4_2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8852) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) sum(n0, n10) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8851) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) sum(n8, n2) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8853) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) all_4_2 = n2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n10, n0, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (8854) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) all_4_7 = n10 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n2, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (217), (8855) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) all_4_4 = n10 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (277), (685), (8763), (8856), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857), (8858) are inconsistent by sub-proof #173. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) all_4_11 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8859) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) pred(n0) = all_4_9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8859) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) succ(n0) = all_4_5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8861) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) all_4_5 = n1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8860) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) all_4_9 = n25 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8862), (8863) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) sum(n25, n1) = all_4_2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8761), (8863) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) sum(n25, n10) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8759), (8862) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) sum(n8, n1) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n1, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (216), (8866) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_4_4 = n9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8864) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) all_4_2 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n10, n25, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (667), (8865) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_4_7 = n9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (25), (250), (685), (8763), (8867), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868), (8869) are inconsistent by sub-proof #172. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8753) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) all_4_11 = n8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8871) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) pred(n8) = all_4_9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8871) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) succ(n8) = all_4_5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8873) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) all_4_5 = n9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8872) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) all_4_9 = n7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8874) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) sum(all_4_6, n9) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8874), (8875) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) sum(n7, n9) = all_4_2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8875) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) sum(n7, all_4_8) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_2, n9, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8877) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) all_4_2 = n16 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8879) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) sum(n16, all_4_1) = all_4_0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8870) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) all_4_10 = n8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8881) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) pred(n8) = all_4_6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8881) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) succ(n8) = all_4_8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8883) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) all_4_8 = n9 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8882) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) all_4_6 = n7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8884), (8885) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) sum(n7, n9) = all_4_1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8885) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) sum(n7, n9) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8884) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) sum(n7, n9) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_4, n9, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8887) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) all_4_4 = n16 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n9, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8886), (8887) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) all_4_1 = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n9, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8886), (8888) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) all_4_1 = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (439), (685), (8880), (8889), (8890), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) are inconsistent by sub-proof #162. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8892) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8892) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8893) all_4_10 = n7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8893) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8894) pred(n7) = all_4_6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8893) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8895) succ(n7) = all_4_8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (8895) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8896) all_4_8 = n8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8894) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8897) all_4_6 = n6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8896), (8897) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8898) sum(n6, n8) = all_4_1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8897) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8899) sum(n6, n9) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8896) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900) sum(n7, n8) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (8898) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8901) all_4_1 = n14 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n9, n6, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (172), (8899) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8902) all_4_4 = n15 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n8, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (197), (8900) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8903) all_4_7 = n15 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (412), (437), (685), (8880), (8901), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8902), (8903) are inconsistent by sub-proof #161. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8904) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8904) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905) all_4_10 = n6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8905) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8906) pred(n6) = all_4_6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8905) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8907) succ(n6) = all_4_8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (8907) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8908) all_4_8 = n7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (8906) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8909) all_4_6 = n5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8908), (8909) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8910) sum(n5, n7) = all_4_1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8909) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8911) sum(n5, n9) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8908) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8912) sum(n7, n7) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (8910) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8913) all_4_1 = n12 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n9, n5, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (146), (8911) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914) all_4_4 = n14 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n7, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (196), (8912) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) all_4_7 = n14 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (435), (685), (8880), (8913), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914), (8915) are inconsistent by sub-proof #160. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8916) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) all_4_10 = n5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8917) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) pred(n5) = all_4_6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8917) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) succ(n5) = all_4_8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (8919) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) all_4_8 = n6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (8918) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) all_4_6 = n4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8920), (8921) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) sum(n4, n6) = all_4_1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8921) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) sum(n4, n9) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8920) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) sum(n7, n6) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (8922) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) all_4_1 = n10 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n9, n4, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (8923) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) all_4_4 = n13 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n6, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (195), (8924) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) all_4_7 = n13 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (433), (685), (8880), (8925), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926), (8927) are inconsistent by sub-proof #159. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8928) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) all_4_10 = n4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8929) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) pred(n4) = all_4_6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8929) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) succ(n4) = all_4_8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (8931) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) all_4_8 = n5 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (8930) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) all_4_6 = n3 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8932), (8933) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) sum(n3, n5) = all_4_1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8933) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) sum(n3, n9) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8932) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) sum(n7, n5) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (8934) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) all_4_1 = n8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n9, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (8935) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) all_4_4 = n12 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n5, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (194), (8936) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) all_4_7 = n12 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (431), (685), (8880), (8937), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938), (8939) are inconsistent by sub-proof #158. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8940) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) all_4_10 = n3 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8941) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) pred(n3) = all_4_6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8941) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) succ(n3) = all_4_8 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (8943) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) all_4_8 = n4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (8942) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) all_4_6 = n2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8944), (8945) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) sum(n2, n4) = all_4_1 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8945) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) sum(n2, n9) = all_4_4 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8944) imply: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8948) sum(n7, n4) = all_4_7 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (8946) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949) all_4_1 = n6 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n9, n2, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (68), (8947) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950) all_4_4 = n11 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n4, n7, % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (193), (8948) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951) all_4_7 = n11 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (429), (685), (8880), (8949), % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950), (8951) are inconsistent by sub-proof #157. % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8952) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8952) gives: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953) all_4_10 = n2 % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8953) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954) pred(n2) = all_4_6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8953) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8955) succ(n2) = all_4_8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (8955) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956) all_4_8 = n3 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (8954) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957) all_4_6 = n1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8956), (8957) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8958) sum(n1, n3) = all_4_1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8957) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959) sum(n1, n9) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8956) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8960) sum(n7, n3) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (8958) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961) all_4_1 = n4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n9, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (8959) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962) all_4_4 = n10 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n3, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (192), (8960) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8963) all_4_7 = n10 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (427), (685), (8880), (8961), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962), (8963) are inconsistent by sub-proof #156. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964) all_4_10 = n1 | all_4_10 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8964) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8965) all_4_10 = n1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8965) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8966) pred(n1) = all_4_6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8965) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8967) succ(n1) = all_4_8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (8967) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968) all_4_8 = n2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (8966) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8969) all_4_6 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8968), (8969) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8970) sum(n0, n2) = all_4_1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8969) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8971) sum(n0, n9) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8968) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8972) sum(n7, n2) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (8970) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8973) all_4_1 = n2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n9, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (8971) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8974) all_4_4 = n9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n2, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (8972) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8975) all_4_7 = n9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (425), (685), (8880), (8973), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8974), (8975) are inconsistent by sub-proof #155. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8976) all_4_10 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8976) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8977) pred(n0) = all_4_6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8976) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978) succ(n0) = all_4_8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (8978) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8979) all_4_8 = n1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (8977) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8980) all_4_6 = n25 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8979), (8980) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8981) sum(n25, n1) = all_4_1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (8980) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8982) sum(n25, n9) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8878), (8979) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983) sum(n7, n1) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n1, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (8983) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8984) all_4_7 = n8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (8981) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985) all_4_1 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n9, n25, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (666), (8982) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8986) all_4_4 = n8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (423), (685), (8880), (8984), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985), (8986) are inconsistent by sub-proof #154. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8987) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8870) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8988) all_4_10 = n8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (8988) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8989) pred(n8) = all_4_6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (8988) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8990) succ(n8) = all_4_8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (697), (8990) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8991) all_4_8 = n9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (725), (8989) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8992) all_4_6 = n7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8992) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8993) sum(n7, all_4_5) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (8991), (8992) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) sum(n7, n9) = all_4_1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8991) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) sum(all_4_9, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n16, all_4_1, n9, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (198), (8994) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) all_4_1 = n16 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8996) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) sum(all_4_2, n16) = all_4_0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8987) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) all_4_11 = n7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (8998) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) pred(n7) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (8998) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9000) succ(n7) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (9000) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9001) all_4_5 = n8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (8999) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002) all_4_9 = n6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9001), (9002) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9003) sum(n6, n8) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9002) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9004) sum(n6, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9001) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9005) sum(n7, n8) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (9003) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9006) all_4_2 = n14 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n9, n6, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (172), (9004) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007) all_4_7 = n15 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n8, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (197), (9005) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008) all_4_4 = n15 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (387), (412), (685), (8997), (9006), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007), (9008) are inconsistent by sub-proof #144. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9009) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9010) all_4_11 = n6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9010) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9011) pred(n6) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9010) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9012) succ(n6) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (9012) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9013) all_4_5 = n7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (9011) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014) all_4_9 = n5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9013), (9014) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9015) sum(n5, n7) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9014) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016) sum(n5, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9013) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9017) sum(n7, n7) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (9015) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9018) all_4_2 = n12 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n9, n5, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (146), (9016) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019) all_4_7 = n14 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n7, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (196), (9017) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9020) all_4_4 = n14 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (335), (385), (685), (8997), (9018), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019), (9020) are inconsistent by sub-proof #143. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9021) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9022) all_4_11 = n5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9022) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9023) pred(n5) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9022) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024) succ(n5) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9024) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9025) all_4_5 = n6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9023) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9026) all_4_9 = n4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9025), (9026) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9027) sum(n4, n6) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9026) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028) sum(n4, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9025) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9029) sum(n7, n6) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9027) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9030) all_4_2 = n10 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n9, n4, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (9028) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031) all_4_7 = n13 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n6, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (195), (9029) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) all_4_4 = n13 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (283), (358), (685), (8997), (9030), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031), (9032) are inconsistent by sub-proof #142. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9033) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) all_4_11 = n4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9034) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) pred(n4) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9034) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) succ(n4) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9036) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_4_5 = n5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9035) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) all_4_9 = n3 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9037), (9038) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) sum(n3, n5) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9038) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) sum(n3, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9037) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) sum(n7, n5) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9039) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) all_4_2 = n8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n9, n3, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (9040) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) all_4_7 = n12 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n5, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (194), (9041) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) all_4_4 = n12 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (231), (331), (685), (8997), (9042), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043), (9044) are inconsistent by sub-proof #141. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9045) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) all_4_11 = n3 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9046) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) pred(n3) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9046) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) succ(n3) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9048) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9049) all_4_5 = n4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9047) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9050) all_4_9 = n2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9049), (9050) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9051) sum(n2, n4) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9050) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9052) sum(n2, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9049) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9053) sum(n7, n4) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9051) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054) all_4_2 = n6 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n9, n2, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (68), (9052) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055) all_4_7 = n11 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n4, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (193), (9053) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9056) all_4_4 = n11 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (179), (304), (685), (8997), (9054), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055), (9056) are inconsistent by sub-proof #140. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9057) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058) all_4_11 = n2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9058) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9059) pred(n2) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9058) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9060) succ(n2) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9060) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9061) all_4_5 = n3 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9059) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062) all_4_9 = n1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9061), (9062) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9063) sum(n1, n3) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9062) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064) sum(n1, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9061) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9065) sum(n7, n3) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9063) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066) all_4_2 = n4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n9, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (9064) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067) all_4_7 = n10 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n3, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (192), (9065) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068) all_4_4 = n10 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (127), (277), (685), (8997), (9066), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067), (9068) are inconsistent by sub-proof #139. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9069) all_4_11 = n1 | all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9069) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9070) all_4_11 = n1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9070) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9071) pred(n1) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9070) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9072) succ(n1) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9072) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9073) all_4_5 = n2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9071) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9074) all_4_9 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9073), (9074) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9075) sum(n0, n2) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9074) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076) sum(n0, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9073) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9077) sum(n7, n2) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9075) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9078) all_4_2 = n2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n9, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (9076) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079) all_4_7 = n9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n2, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (191), (9077) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9080) all_4_4 = n9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (250), (685), (8997), (9078), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079), (9080) are inconsistent by sub-proof #138. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) all_4_11 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9081) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) pred(n0) = all_4_9 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9081) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) succ(n0) = all_4_5 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9083) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) all_4_5 = n1 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9082) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) all_4_9 = n25 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9084), (9085) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) sum(n25, n1) = all_4_2 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8995), (9085) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) sum(n25, n9) = all_4_7 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8993), (9084) imply: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) sum(n7, n1) = all_4_4 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n1, n7, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (190), (9088) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) all_4_4 = n8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9086) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) all_4_2 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n9, n25, % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (666), (9087) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) all_4_7 = n8 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (23), (223), (685), (8997), (9089), % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090), (9091) are inconsistent by sub-proof #137. % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8987) gives: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) all_4_11 = n7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9093) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) pred(n7) = all_4_9 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9093) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) succ(n7) = all_4_5 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (9095) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) all_4_5 = n8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (9094) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9097) all_4_9 = n6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9096) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9098) sum(all_4_6, n8) = all_4_4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9096), (9097) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9099) sum(n6, n8) = all_4_2 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9097) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9100) sum(n6, all_4_8) = all_4_7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (9099) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9101) all_4_2 = n14 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9101) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9102) sum(n14, all_4_1) = all_4_0 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9092) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103) all_4_10 = n7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9103) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9104) pred(n7) = all_4_6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9103) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9105) succ(n7) = all_4_8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (9105) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106) all_4_8 = n8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (9104) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9107) all_4_6 = n6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9106), (9107) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9108) sum(n6, n8) = all_4_1 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9107) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109) sum(n6, n8) = all_4_4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9106) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9110) sum(n6, n8) = all_4_7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n8, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (9109) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9111) all_4_4 = n14 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n8, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9108), (9109) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) all_4_1 = all_4_4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n8, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9108), (9110) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) all_4_1 = all_4_7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (385), (685), (9102), (9111), (9112), % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) are inconsistent by sub-proof #128. % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9114) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115) all_4_10 = n6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9115) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) pred(n6) = all_4_6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9115) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) succ(n6) = all_4_8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (9117) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) all_4_8 = n7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (9116) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) all_4_6 = n5 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9118), (9119) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) sum(n5, n7) = all_4_1 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9119) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) sum(n5, n8) = all_4_4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9118) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) sum(n6, n7) = all_4_7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (9120) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) all_4_1 = n12 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n8, n5, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (145), (9121) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) all_4_4 = n13 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n7, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (170), (9122) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) all_4_7 = n13 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (358), (383), (685), (9102), (9123), % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124), (9125) are inconsistent by sub-proof #127. % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9126) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) all_4_10 = n5 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9127) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) pred(n5) = all_4_6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9127) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) succ(n5) = all_4_8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9129) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) all_4_8 = n6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9128) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) all_4_6 = n4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9130), (9131) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) sum(n4, n6) = all_4_1 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9131) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) sum(n4, n8) = all_4_4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9130) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) sum(n6, n6) = all_4_7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9132) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) all_4_1 = n10 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n8, n4, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (9133) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) all_4_4 = n12 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n6, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (169), (9134) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) all_4_7 = n12 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (381), (685), (9102), (9135), % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136), (9137) are inconsistent by sub-proof #126. % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9138) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) all_4_10 = n4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9139) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) pred(n4) = all_4_6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9139) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) succ(n4) = all_4_8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9141) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) all_4_8 = n5 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9140) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) all_4_6 = n3 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9142), (9143) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) sum(n3, n5) = all_4_1 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9143) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) sum(n3, n8) = all_4_4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9142) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) sum(n6, n5) = all_4_7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9144) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_4_1 = n8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n8, n3, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (93), (9145) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) all_4_4 = n11 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n5, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (168), (9146) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) all_4_7 = n11 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (379), (685), (9102), (9147), % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148), (9149) are inconsistent by sub-proof #125. % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9150) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) all_4_10 = n3 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9151) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) pred(n3) = all_4_6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9151) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) succ(n3) = all_4_8 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9153) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) all_4_8 = n4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9152) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) all_4_6 = n2 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9154), (9155) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) sum(n2, n4) = all_4_1 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9155) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) sum(n2, n8) = all_4_4 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9154) imply: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) sum(n6, n4) = all_4_7 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9156) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) all_4_1 = n6 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n8, n2, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (67), (9157) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) all_4_4 = n10 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n4, n6, % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (167), (9158) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) all_4_7 = n10 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (377), (685), (9102), (9159), % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160), (9161) are inconsistent by sub-proof #124. % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9162) gives: % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.55/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) all_4_10 = n2 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9163) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) pred(n2) = all_4_6 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9163) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) succ(n2) = all_4_8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9165) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) all_4_8 = n3 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9164) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) all_4_6 = n1 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9166), (9167) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) sum(n1, n3) = all_4_1 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9167) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) sum(n1, n8) = all_4_4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9166) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) sum(n6, n3) = all_4_7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9168) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) all_4_1 = n4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n8, n1, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (9169) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) all_4_4 = n9 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n3, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (166), (9170) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) all_4_7 = n9 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (375), (685), (9102), (9171), % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172), (9173) are inconsistent by sub-proof #123. % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) all_4_10 = n1 | all_4_10 = n0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9174) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) all_4_10 = n1 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9175) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) pred(n1) = all_4_6 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9175) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) succ(n1) = all_4_8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9177) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) all_4_8 = n2 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9176) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) all_4_6 = n0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9178), (9179) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) sum(n0, n2) = all_4_1 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9179) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) sum(n0, n8) = all_4_4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9178) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) sum(n6, n2) = all_4_7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9180) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) all_4_1 = n2 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n8, n0, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (9181) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) all_4_4 = n8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n2, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (165), (9182) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) all_4_7 = n8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (373), (685), (9102), (9183), % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184), (9185) are inconsistent by sub-proof #122. % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) all_4_10 = n0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9186) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) pred(n0) = all_4_6 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9186) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) succ(n0) = all_4_8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9188) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) all_4_8 = n1 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9187) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) all_4_6 = n25 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9189), (9190) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) sum(n25, n1) = all_4_1 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9190) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) sum(n25, n8) = all_4_4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9189) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) sum(n6, n1) = all_4_7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n1, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (164), (9193) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) all_4_7 = n7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9191) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) all_4_1 = n0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n8, n25, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (665), (9192) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) all_4_4 = n7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (371), (685), (9102), (9194), % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195), (9196) are inconsistent by sub-proof #121. % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9092) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) all_4_10 = n7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9198) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) pred(n7) = all_4_6 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9198) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) succ(n7) = all_4_8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (696), (9200) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) all_4_8 = n8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (9199) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) all_4_6 = n6 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9202) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) sum(n6, all_4_5) = all_4_4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9201), (9202) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) sum(n6, n8) = all_4_1 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9201) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) sum(all_4_9, n8) = all_4_7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (171), (9204) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) all_4_1 = n14 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9206) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) sum(all_4_2, n14) = all_4_0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9197) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) all_4_11 = n6 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9208) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) pred(n6) = all_4_9 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9208) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) succ(n6) = all_4_5 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (9210) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) all_4_5 = n7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (9209) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_4_9 = n5 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9211), (9212) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) sum(n5, n7) = all_4_2 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9205), (9212) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) sum(n5, n8) = all_4_7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9203), (9211) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) sum(n6, n7) = all_4_4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (9213) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) all_4_2 = n12 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n8, n5, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (145), (9214) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) all_4_7 = n13 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n7, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (170), (9215) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) all_4_4 = n13 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (333), (358), (685), (9207), (9216), % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218) are inconsistent by sub-proof #112. % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9219) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) all_4_11 = n5 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9220) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) pred(n5) = all_4_9 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9220) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) succ(n5) = all_4_5 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9222) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) all_4_5 = n6 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9221) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) all_4_9 = n4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9223), (9224) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) sum(n4, n6) = all_4_2 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9205), (9224) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) sum(n4, n8) = all_4_7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9203), (9223) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) sum(n6, n6) = all_4_4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9225) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) all_4_2 = n10 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n8, n4, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (119), (9226) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) all_4_7 = n12 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n6, n6, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (169), (9227) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) all_4_4 = n12 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (281), (331), (685), (9207), (9228), % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229), (9230) are inconsistent by sub-proof #111. % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9231) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) all_4_11 = n4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9232) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) pred(n4) = all_4_9 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9232) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) succ(n4) = all_4_5 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9234) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235) all_4_5 = n5 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9233) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9236) all_4_9 = n3 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9235), (9236) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9237) sum(n3, n5) = all_4_2 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9205), (9236) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9238) sum(n3, n8) = all_4_7 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9203), (9235) imply: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9239) sum(n6, n5) = all_4_4 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9237) gives: % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9240) all_4_2 = n8 % 190.69/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n8, n3, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (93), (9238) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9241) all_4_7 = n11 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n5, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (168), (9239) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9242) all_4_4 = n11 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (229), (304), (685), (9207), (9240), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9241), (9242) are inconsistent by sub-proof #110. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9243) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9243) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9244) all_4_11 = n3 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9244) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9245) pred(n3) = all_4_9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9244) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9246) succ(n3) = all_4_5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9246) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9247) all_4_5 = n4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9245) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9248) all_4_9 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9247), (9248) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9249) sum(n2, n4) = all_4_2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9205), (9248) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9250) sum(n2, n8) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9203), (9247) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251) sum(n6, n4) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9249) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9252) all_4_2 = n6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n8, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (67), (9250) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9253) all_4_7 = n10 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n4, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (167), (9251) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9254) all_4_4 = n10 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (177), (277), (685), (9207), (9252), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9253), (9254) are inconsistent by sub-proof #109. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9255) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9255) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9256) all_4_11 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9256) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9257) pred(n2) = all_4_9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9256) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9258) succ(n2) = all_4_5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9258) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9259) all_4_5 = n3 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9257) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9260) all_4_9 = n1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9259), (9260) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9261) sum(n1, n3) = all_4_2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9205), (9260) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262) sum(n1, n8) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9203), (9259) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9263) sum(n6, n3) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9261) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9264) all_4_2 = n4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n8, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (9262) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265) all_4_7 = n9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n3, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (166), (9263) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9266) all_4_4 = n9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (125), (250), (685), (9207), (9264), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265), (9266) are inconsistent by sub-proof #108. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9267) all_4_11 = n1 | all_4_11 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9267) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) all_4_11 = n1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9268) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) pred(n1) = all_4_9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9268) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) succ(n1) = all_4_5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9270) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) all_4_5 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9269) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) all_4_9 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9271), (9272) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) sum(n0, n2) = all_4_2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9205), (9272) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) sum(n0, n8) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9203), (9271) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) sum(n6, n2) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9273) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) all_4_2 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n8, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (9274) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) all_4_7 = n8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n2, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (165), (9275) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) all_4_4 = n8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (73), (223), (685), (9207), (9276), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277), (9278) are inconsistent by sub-proof #107. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) all_4_11 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9279) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) pred(n0) = all_4_9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9279) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) succ(n0) = all_4_5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9281) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) all_4_5 = n1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9280) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) all_4_9 = n25 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9282), (9283) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) sum(n25, n1) = all_4_2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9205), (9283) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) sum(n25, n8) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9203), (9282) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) sum(n6, n1) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n1, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (164), (9286) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) all_4_4 = n7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9284) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) all_4_2 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n8, n25, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (665), (9285) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) all_4_7 = n7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21), (196), (685), (9207), (9287), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288), (9289) are inconsistent by sub-proof #106. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9197) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) all_4_11 = n6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9291) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) pred(n6) = all_4_9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9291) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) succ(n6) = all_4_5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (9293) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) all_4_5 = n7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (9292) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) all_4_9 = n5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9294) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) sum(all_4_6, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9294), (9295) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) sum(n5, n7) = all_4_2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9295) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) sum(n5, all_4_8) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (9297) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) all_4_2 = n12 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9299) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) sum(n12, all_4_1) = all_4_0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9290) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) all_4_10 = n6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9301) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) pred(n6) = all_4_6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9301) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) succ(n6) = all_4_8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (9303) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_4_8 = n7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (9302) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) all_4_6 = n5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9304), (9305) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) sum(n5, n7) = all_4_1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9305) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) sum(n5, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9298), (9304) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) sum(n5, n7) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n7, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (9307) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) all_4_4 = n12 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n7, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9306), (9307) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) all_4_1 = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n7, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9306), (9308) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) all_4_1 = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (331), (685), (9300), (9309), (9310), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) are inconsistent by sub-proof #98. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9312) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) all_4_10 = n5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9313) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) pred(n5) = all_4_6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9313) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) succ(n5) = all_4_8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9315) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) all_4_8 = n6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9314) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) all_4_6 = n4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9316), (9317) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) sum(n4, n6) = all_4_1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9317) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) sum(n4, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9298), (9316) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) sum(n5, n6) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9318) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) all_4_1 = n10 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n7, n4, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (9319) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) all_4_4 = n11 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n6, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (143), (9320) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) all_4_7 = n11 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (304), (329), (685), (9300), (9321), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322), (9323) are inconsistent by sub-proof #97. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9324) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) all_4_10 = n4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9325) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) pred(n4) = all_4_6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9325) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) succ(n4) = all_4_8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9327) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) all_4_8 = n5 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9326) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) all_4_6 = n3 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9328), (9329) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) sum(n3, n5) = all_4_1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9329) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) sum(n3, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9298), (9328) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332) sum(n5, n5) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9330) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) all_4_1 = n8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n7, n3, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (92), (9331) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) all_4_4 = n10 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n5, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (142), (9332) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) all_4_7 = n10 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (327), (685), (9300), (9333), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334), (9335) are inconsistent by sub-proof #96. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9336) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9337) all_4_10 = n3 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9337) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9338) pred(n3) = all_4_6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9337) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9339) succ(n3) = all_4_8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9339) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9340) all_4_8 = n4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9338) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341) all_4_6 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9340), (9341) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342) sum(n2, n4) = all_4_1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9341) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9343) sum(n2, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9298), (9340) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9344) sum(n5, n4) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9342) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9345) all_4_1 = n6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n7, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (9343) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346) all_4_4 = n9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n4, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (141), (9344) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347) all_4_7 = n9 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (325), (685), (9300), (9345), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346), (9347) are inconsistent by sub-proof #95. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9348) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9348) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349) all_4_10 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9349) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9350) pred(n2) = all_4_6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9349) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351) succ(n2) = all_4_8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9351) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9352) all_4_8 = n3 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9350) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9353) all_4_6 = n1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9352), (9353) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9354) sum(n1, n3) = all_4_1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9353) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355) sum(n1, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9298), (9352) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9356) sum(n5, n3) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9354) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9357) all_4_1 = n4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n7, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (9355) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9358) all_4_4 = n8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n3, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (140), (9356) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9359) all_4_7 = n8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (323), (685), (9300), (9357), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9358), (9359) are inconsistent by sub-proof #94. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9360) all_4_10 = n1 | all_4_10 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9360) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9361) all_4_10 = n1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9361) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9362) pred(n1) = all_4_6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9361) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9363) succ(n1) = all_4_8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9363) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9364) all_4_8 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9362) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9365) all_4_6 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9364), (9365) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9366) sum(n0, n2) = all_4_1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9365) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367) sum(n0, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9298), (9364) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) sum(n5, n2) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9366) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) all_4_1 = n2 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n7, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (9367) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) all_4_4 = n7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n2, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (139), (9368) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) all_4_7 = n7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (321), (685), (9300), (9369), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370), (9371) are inconsistent by sub-proof #93. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) all_4_10 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9372) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) pred(n0) = all_4_6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9372) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) succ(n0) = all_4_8 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9374) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) all_4_8 = n1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9373) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) all_4_6 = n25 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9375), (9376) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) sum(n25, n1) = all_4_1 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9376) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) sum(n25, n7) = all_4_4 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9298), (9375) imply: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) sum(n5, n1) = all_4_7 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n1, n5, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (138), (9379) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) all_4_7 = n6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9377) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) all_4_1 = n0 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n7, n25, % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (664), (9378) gives: % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) all_4_4 = n6 % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (319), (685), (9300), (9380), % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381), (9382) are inconsistent by sub-proof #92. % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9383) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9290) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9384) all_4_10 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9384) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385) pred(n6) = all_4_6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9384) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386) succ(n6) = all_4_8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (695), (9386) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387) all_4_8 = n7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (723), (9385) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388) all_4_6 = n5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9388) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9389) sum(n5, all_4_5) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9387), (9388) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9390) sum(n5, n7) = all_4_1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9387) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9391) sum(all_4_9, n7) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (144), (9390) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392) all_4_1 = n12 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9392) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9393) sum(all_4_2, n12) = all_4_0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9383) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394) all_4_11 = n5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9394) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395) pred(n5) = all_4_9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9394) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396) succ(n5) = all_4_5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9396) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) all_4_5 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9395) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_4_9 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9397), (9398) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) sum(n4, n6) = all_4_2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9391), (9398) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) sum(n4, n7) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9389), (9397) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) sum(n5, n6) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9399) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) all_4_2 = n10 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n7, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (118), (9400) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) all_4_7 = n11 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n6, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (143), (9401) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) all_4_4 = n11 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (279), (304), (685), (9393), (9402), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403), (9404) are inconsistent by sub-proof #84. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9405) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) all_4_11 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9406) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) pred(n4) = all_4_9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9406) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) succ(n4) = all_4_5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9408) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_4_5 = n5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9407) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) all_4_9 = n3 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9409), (9410) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) sum(n3, n5) = all_4_2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9391), (9410) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) sum(n3, n7) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9389), (9409) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) sum(n5, n5) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9411) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) all_4_2 = n8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n7, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (92), (9412) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) all_4_7 = n10 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n5, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (142), (9413) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) all_4_4 = n10 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (227), (277), (685), (9393), (9414), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415), (9416) are inconsistent by sub-proof #83. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9417) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) all_4_11 = n3 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9418) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) pred(n3) = all_4_9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9418) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) succ(n3) = all_4_5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9420) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) all_4_5 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9419) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_4_9 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9421), (9422) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) sum(n2, n4) = all_4_2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9391), (9422) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) sum(n2, n7) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9389), (9421) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) sum(n5, n4) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9423) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) all_4_2 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n7, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (66), (9424) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) all_4_7 = n9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n4, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (141), (9425) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) all_4_4 = n9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (175), (250), (685), (9393), (9426), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427), (9428) are inconsistent by sub-proof #82. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9429) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) all_4_11 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9430) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) pred(n2) = all_4_9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9430) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) succ(n2) = all_4_5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9432) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) all_4_5 = n3 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9431) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) all_4_9 = n1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9433), (9434) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) sum(n1, n3) = all_4_2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9391), (9434) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) sum(n1, n7) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9389), (9433) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) sum(n5, n3) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9435) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) all_4_2 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n7, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (9436) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) all_4_7 = n8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n3, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (140), (9437) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) all_4_4 = n8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (123), (223), (685), (9393), (9438), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439), (9440) are inconsistent by sub-proof #81. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441) all_4_11 = n1 | all_4_11 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9441) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) all_4_11 = n1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9442) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) pred(n1) = all_4_9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9442) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) succ(n1) = all_4_5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9444) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) all_4_5 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9443) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) all_4_9 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9445), (9446) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) sum(n0, n2) = all_4_2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9391), (9446) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) sum(n0, n7) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9389), (9445) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) sum(n5, n2) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9447) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) all_4_2 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n7, n0, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (9448) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) all_4_7 = n7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n2, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (139), (9449) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) all_4_4 = n7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (71), (196), (685), (9393), (9450), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451), (9452) are inconsistent by sub-proof #80. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) all_4_11 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9453) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) pred(n0) = all_4_9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9453) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) succ(n0) = all_4_5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9455) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) all_4_5 = n1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9454) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) all_4_9 = n25 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9456), (9457) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) sum(n25, n1) = all_4_2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9391), (9457) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) sum(n25, n7) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9389), (9456) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) sum(n5, n1) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n1, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (138), (9460) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) all_4_4 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9458) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) all_4_2 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n7, n25, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (664), (9459) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) all_4_7 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (169), (685), (9393), (9461), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462), (9463) are inconsistent by sub-proof #79. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9383) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) all_4_11 = n5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9465) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) pred(n5) = all_4_9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9465) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) succ(n5) = all_4_5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9467) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9468) all_4_5 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9466) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9469) all_4_9 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9468) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470) sum(all_4_6, n6) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9468), (9469) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471) sum(n4, n6) = all_4_2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9469) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9472) sum(n4, all_4_8) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9471) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473) all_4_2 = n10 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9473) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9474) sum(n10, all_4_1) = all_4_0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9464) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9475) all_4_10 = n5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9475) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9476) pred(n5) = all_4_6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9475) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477) succ(n5) = all_4_8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9477) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478) all_4_8 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9476) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9479) all_4_6 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9478), (9479) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9480) sum(n4, n6) = all_4_1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9479) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481) sum(n4, n6) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9478) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9482) sum(n4, n6) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n6, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9481) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_4_4 = n10 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n6, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9480), (9481) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9484) all_4_1 = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n6, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9480), (9482) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) all_4_1 = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (277), (685), (9474), (9483), (9484), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) are inconsistent by sub-proof #72. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9486) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) all_4_10 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9487) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) pred(n4) = all_4_6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9487) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) succ(n4) = all_4_8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9489) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) all_4_8 = n5 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9488) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) all_4_6 = n3 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9490), (9491) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) sum(n3, n5) = all_4_1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9491) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) sum(n3, n6) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9490) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) sum(n4, n5) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9492) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) all_4_1 = n8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n6, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (91), (9493) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) all_4_4 = n9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n5, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (9494) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) all_4_7 = n9 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (250), (275), (685), (9474), (9495), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496), (9497) are inconsistent by sub-proof #71. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9498) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) all_4_10 = n3 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9499) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) pred(n3) = all_4_6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9499) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) succ(n3) = all_4_8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9501) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) all_4_8 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9500) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_4_6 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9502), (9503) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) sum(n2, n4) = all_4_1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9503) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) sum(n2, n6) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9502) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) sum(n4, n4) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9504) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_4_1 = n6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n6, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (65), (9505) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) all_4_4 = n8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n4, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (115), (9506) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) all_4_7 = n8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (273), (685), (9474), (9507), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508), (9509) are inconsistent by sub-proof #70. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9510) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_4_10 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9511) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) pred(n2) = all_4_6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9511) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) succ(n2) = all_4_8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9513) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) all_4_8 = n3 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9512) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) all_4_6 = n1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9514), (9515) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) sum(n1, n3) = all_4_1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9515) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) sum(n1, n6) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9514) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) sum(n4, n3) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9516) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) all_4_1 = n4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n6, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (39), (9517) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) all_4_4 = n7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n3, n4, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (114), (9518) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) all_4_7 = n7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (271), (685), (9474), (9519), % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520), (9521) are inconsistent by sub-proof #69. % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_4_10 = n1 | all_4_10 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9522) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) all_4_10 = n1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9523) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) pred(n1) = all_4_6 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9523) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) succ(n1) = all_4_8 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9525) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_4_8 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9524) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) all_4_6 = n0 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9526), (9527) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) sum(n0, n2) = all_4_1 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9527) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) sum(n0, n6) = all_4_4 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9526) imply: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) sum(n4, n2) = all_4_7 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9528) gives: % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) all_4_1 = n2 % 190.69/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n6, n0, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (9529) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) all_4_4 = n6 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n2, n4, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (113), (9530) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) all_4_7 = n6 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (269), (685), (9474), (9531), % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532), (9533) are inconsistent by sub-proof #68. % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) all_4_10 = n0 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9534) imply: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) pred(n0) = all_4_6 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9534) imply: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) succ(n0) = all_4_8 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9536) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) all_4_8 = n1 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9535) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) all_4_6 = n25 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9537), (9538) imply: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) sum(n25, n1) = all_4_1 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9470), (9538) imply: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) sum(n25, n6) = all_4_4 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9472), (9537) imply: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) sum(n4, n1) = all_4_7 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n1, n4, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (112), (9541) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) all_4_7 = n5 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9539) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) all_4_1 = n0 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n6, n25, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (663), (9540) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) all_4_4 = n5 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (267), (685), (9474), (9542), % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543), (9544) are inconsistent by sub-proof #67. % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9464) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_4_10 = n5 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9546) imply: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) pred(n5) = all_4_6 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9546) imply: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) succ(n5) = all_4_8 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (694), (9548) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) all_4_8 = n6 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5, % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (9547) gives: % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_4_6 = n4 % 190.69/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9550) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) sum(n4, all_4_5) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9549), (9550) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) sum(n4, n6) = all_4_1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9549) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) sum(all_4_9, n6) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (117), (9552) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) all_4_1 = n10 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9554) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) sum(all_4_2, n10) = all_4_0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9545) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) all_4_11 = n4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9556) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) pred(n4) = all_4_9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9556) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) succ(n4) = all_4_5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9558) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) all_4_5 = n5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9557) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) all_4_9 = n3 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9559), (9560) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) sum(n3, n5) = all_4_2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9553), (9560) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) sum(n3, n6) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9551), (9559) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) sum(n4, n5) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9561) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) all_4_2 = n8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n6, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (91), (9562) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_4_7 = n9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n5, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (116), (9563) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_4_4 = n9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (225), (250), (685), (9555), (9564), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565), (9566) are inconsistent by sub-proof #60. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9567) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_4_11 = n3 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9568) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) pred(n3) = all_4_9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9568) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) succ(n3) = all_4_5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9570) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) all_4_5 = n4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9569) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) all_4_9 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9571), (9572) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) sum(n2, n4) = all_4_2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9553), (9572) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) sum(n2, n6) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9551), (9571) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) sum(n4, n4) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9573) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) all_4_2 = n6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n6, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (65), (9574) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_4_7 = n8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n4, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (115), (9575) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) all_4_4 = n8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (173), (223), (685), (9555), (9576), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577), (9578) are inconsistent by sub-proof #59. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9579) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) all_4_11 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9580) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) pred(n2) = all_4_9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9580) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) succ(n2) = all_4_5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9582) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_4_5 = n3 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9581) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) all_4_9 = n1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9583), (9584) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) sum(n1, n3) = all_4_2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9553), (9584) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) sum(n1, n6) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9551), (9583) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) sum(n4, n3) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9585) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) all_4_2 = n4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n6, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (39), (9586) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) all_4_7 = n7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n3, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (114), (9587) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) all_4_4 = n7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (121), (196), (685), (9555), (9588), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589), (9590) are inconsistent by sub-proof #58. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) all_4_11 = n1 | all_4_11 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9591) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) all_4_11 = n1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9592) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) pred(n1) = all_4_9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9592) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) succ(n1) = all_4_5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9594) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) all_4_5 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9593) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) all_4_9 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9595), (9596) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) sum(n0, n2) = all_4_2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9553), (9596) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) sum(n0, n6) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9551), (9595) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) sum(n4, n2) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9597) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) all_4_2 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n6, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (9598) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) all_4_7 = n6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n2, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (113), (9599) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) all_4_4 = n6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (69), (169), (685), (9555), (9600), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601), (9602) are inconsistent by sub-proof #57. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) all_4_11 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9603) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) pred(n0) = all_4_9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9603) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) succ(n0) = all_4_5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9605) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) all_4_5 = n1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9604) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) all_4_9 = n25 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9606), (9607) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) sum(n25, n1) = all_4_2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9553), (9607) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) sum(n25, n6) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9551), (9606) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) sum(n4, n1) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n1, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (112), (9610) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) all_4_4 = n5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9608) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) all_4_2 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n6, n25, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (663), (9609) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) all_4_7 = n5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (142), (685), (9555), (9611), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612), (9613) are inconsistent by sub-proof #56. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9545) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) all_4_11 = n4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9615) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) pred(n4) = all_4_9 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9615) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) succ(n4) = all_4_5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9617) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) all_4_5 = n5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9616) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) all_4_9 = n3 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9618) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) sum(all_4_6, n5) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9618), (9619) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) sum(n3, n5) = all_4_2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9619) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) sum(n3, all_4_8) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9621) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) all_4_2 = n8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9623) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) sum(n8, all_4_1) = all_4_0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9614) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) all_4_10 = n4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9625) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) pred(n4) = all_4_6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9625) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) succ(n4) = all_4_8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9627) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) all_4_8 = n5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9626) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) all_4_6 = n3 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9628), (9629) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) sum(n3, n5) = all_4_1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9620), (9629) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) sum(n3, n5) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9622), (9628) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) sum(n3, n5) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n5, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9631) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) all_4_4 = n8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n5, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9630), (9631) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) all_4_1 = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n5, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9630), (9632) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) all_4_1 = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (223), (685), (9624), (9633), (9634), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) are inconsistent by sub-proof #50. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9636) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_4_10 = n3 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9637) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) pred(n3) = all_4_6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9637) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) succ(n3) = all_4_8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9639) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) all_4_8 = n4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9638) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_4_6 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9640), (9641) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) sum(n2, n4) = all_4_1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9620), (9641) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) sum(n2, n5) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9622), (9640) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) sum(n3, n4) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9642) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) all_4_1 = n6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n5, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (64), (9643) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) all_4_4 = n7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n4, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (89), (9644) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) all_4_7 = n7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (196), (221), (685), (9624), (9645), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646), (9647) are inconsistent by sub-proof #49. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9648) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) all_4_10 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9649) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) pred(n2) = all_4_6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9649) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) succ(n2) = all_4_8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9651) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) all_4_8 = n3 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9650) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) all_4_6 = n1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9652), (9653) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) sum(n1, n3) = all_4_1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9620), (9653) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) sum(n1, n5) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9622), (9652) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) sum(n3, n3) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9654) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) all_4_1 = n4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n5, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (38), (9655) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) all_4_4 = n6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n3, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (88), (9656) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) all_4_7 = n6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (219), (685), (9624), (9657), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658), (9659) are inconsistent by sub-proof #48. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) all_4_10 = n1 | all_4_10 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9660) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_4_10 = n1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9661) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) pred(n1) = all_4_6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9661) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) succ(n1) = all_4_8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9663) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) all_4_8 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9662) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) all_4_6 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9664), (9665) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) sum(n0, n2) = all_4_1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9620), (9665) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) sum(n0, n5) = all_4_4 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9622), (9664) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) sum(n3, n2) = all_4_7 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9666) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) all_4_1 = n2 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n5, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (9667) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) all_4_4 = n5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n2, n3, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (87), (9668) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) all_4_7 = n5 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (217), (685), (9624), (9669), % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670), (9671) are inconsistent by sub-proof #47. % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) all_4_10 = n0 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9672) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) pred(n0) = all_4_6 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9672) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) succ(n0) = all_4_8 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9674) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) all_4_8 = n1 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9673) gives: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) all_4_6 = n25 % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9675), (9676) imply: % 190.79/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) sum(n25, n1) = all_4_1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9620), (9676) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) sum(n25, n5) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9622), (9675) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) sum(n3, n1) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n1, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (86), (9679) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) all_4_7 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9677) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_4_1 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n5, n25, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (662), (9678) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) all_4_4 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (215), (685), (9624), (9680), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681), (9682) are inconsistent by sub-proof #46. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9614) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) all_4_10 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9684) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) pred(n4) = all_4_6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9684) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) succ(n4) = all_4_8 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (693), (9686) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) all_4_8 = n5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (721), (9685) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) all_4_6 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9688) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) sum(n3, all_4_5) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9687), (9688) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) sum(n3, n5) = all_4_1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9687) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) sum(all_4_9, n5) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (9690) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) all_4_1 = n8 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9692) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) sum(all_4_2, n8) = all_4_0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9683) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) all_4_11 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9694) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) pred(n3) = all_4_9 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9694) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) succ(n3) = all_4_5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9696) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) all_4_5 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9695) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) all_4_9 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9697), (9698) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) sum(n2, n4) = all_4_2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9691), (9698) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) sum(n2, n5) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9689), (9697) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) sum(n3, n4) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9699) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) all_4_2 = n6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n5, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (64), (9700) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) all_4_7 = n7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n4, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (89), (9701) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) all_4_4 = n7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (171), (196), (685), (9693), (9702), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703), (9704) are inconsistent by sub-proof #40. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9705) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) all_4_11 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9706) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) pred(n2) = all_4_9 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9706) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) succ(n2) = all_4_5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9708) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) all_4_5 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9707) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) all_4_9 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9709), (9710) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) sum(n1, n3) = all_4_2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9691), (9710) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) sum(n1, n5) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9689), (9709) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) sum(n3, n3) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9711) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) all_4_2 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n5, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (38), (9712) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) all_4_7 = n6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n3, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (88), (9713) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) all_4_4 = n6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (119), (169), (685), (9693), (9714), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715), (9716) are inconsistent by sub-proof #39. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) all_4_11 = n1 | all_4_11 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9717) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) all_4_11 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9718) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) pred(n1) = all_4_9 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9718) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) succ(n1) = all_4_5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9720) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) all_4_5 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9719) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_4_9 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9721), (9722) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) sum(n0, n2) = all_4_2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9691), (9722) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) sum(n0, n5) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9689), (9721) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) sum(n3, n2) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9723) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) all_4_2 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n5, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (9724) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) all_4_7 = n5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n2, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (87), (9725) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) all_4_4 = n5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (67), (142), (685), (9693), (9726), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727), (9728) are inconsistent by sub-proof #38. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_4_11 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9729) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) pred(n0) = all_4_9 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9729) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) succ(n0) = all_4_5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9731) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) all_4_5 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9730) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) all_4_9 = n25 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9732), (9733) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) sum(n25, n1) = all_4_2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9691), (9733) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) sum(n25, n5) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9689), (9732) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) sum(n3, n1) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n1, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (86), (9736) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737) all_4_4 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9734) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_4_2 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n5, n25, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (662), (9735) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9739) all_4_7 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (115), (685), (9693), (9737), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738), (9739) are inconsistent by sub-proof #37. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9683) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) all_4_11 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9741) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) pred(n3) = all_4_9 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9741) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) succ(n3) = all_4_5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9743) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) all_4_5 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9742) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) all_4_9 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9744) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) sum(all_4_6, n4) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9744), (9745) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) sum(n2, n4) = all_4_2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9745) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) sum(n2, all_4_8) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9747) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) all_4_2 = n6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9749) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) sum(n6, all_4_1) = all_4_0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9740) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_4_10 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9751) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) pred(n3) = all_4_6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9751) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) succ(n3) = all_4_8 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9753) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_4_8 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9752) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) all_4_6 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9754), (9755) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) sum(n2, n4) = all_4_1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9746), (9755) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) sum(n2, n4) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9748), (9754) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) sum(n2, n4) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n4, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9757) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) all_4_4 = n6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n4, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9756), (9757) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) all_4_1 = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n4, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9756), (9758) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) all_4_1 = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (685), (9750), (9759), (9760), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) are inconsistent by sub-proof #32. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9762) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) all_4_10 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9763) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) pred(n2) = all_4_6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9763) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) succ(n2) = all_4_8 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9765) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) all_4_8 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9764) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) all_4_6 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9766), (9767) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) sum(n1, n3) = all_4_1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9746), (9767) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) sum(n1, n4) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9748), (9766) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) sum(n2, n3) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9768) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) all_4_1 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n4, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (37), (9769) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) all_4_4 = n5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n3, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (62), (9770) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) all_4_7 = n5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (142), (167), (685), (9750), (9771), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772), (9773) are inconsistent by sub-proof #31. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_4_10 = n1 | all_4_10 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9774) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) all_4_10 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9775) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) pred(n1) = all_4_6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9775) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) succ(n1) = all_4_8 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9777) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) all_4_8 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9776) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) all_4_6 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9778), (9779) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) sum(n0, n2) = all_4_1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9746), (9779) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) sum(n0, n4) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9748), (9778) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) sum(n2, n2) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9780) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) all_4_1 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n4, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (9781) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) all_4_4 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n2, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (61), (9782) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) all_4_7 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (165), (685), (9750), (9783), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784), (9785) are inconsistent by sub-proof #30. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) all_4_10 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9786) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) pred(n0) = all_4_6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9786) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) succ(n0) = all_4_8 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9788) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) all_4_8 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9787) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) all_4_6 = n25 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9789), (9790) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) sum(n25, n1) = all_4_1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9746), (9790) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) sum(n25, n4) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9748), (9789) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) sum(n2, n1) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n1, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (9793) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) all_4_7 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9791) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) all_4_1 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n4, n25, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (661), (9792) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) all_4_4 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (163), (685), (9750), (9794), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795), (9796) are inconsistent by sub-proof #29. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9740) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) all_4_10 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9798) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) pred(n3) = all_4_6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9798) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) succ(n3) = all_4_8 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (692), (9800) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) all_4_8 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (9799) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) all_4_6 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9802) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) sum(n2, all_4_5) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9801), (9802) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) sum(n2, n4) = all_4_1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9801) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9805) sum(all_4_9, n4) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (9804) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9806) all_4_1 = n6 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9806) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9807) sum(all_4_2, n6) = all_4_0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9797) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9808) all_4_11 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9808) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9809) pred(n2) = all_4_9 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9808) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9810) succ(n2) = all_4_5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9810) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9811) all_4_5 = n3 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9809) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9812) all_4_9 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9811), (9812) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9813) sum(n1, n3) = all_4_2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9805), (9812) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9814) sum(n1, n4) = all_4_7 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9803), (9811) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9815) sum(n2, n3) = all_4_4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9813) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9816) all_4_2 = n4 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n4, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (37), (9814) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9817) all_4_7 = n5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n3, n2, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (62), (9815) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9818) all_4_4 = n5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (117), (142), (685), (9807), (9816), % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9817), (9818) are inconsistent by sub-proof #24. % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9819) all_4_11 = n1 | all_4_11 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9819) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9820) all_4_11 = n1 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9820) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9821) pred(n1) = all_4_9 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9820) imply: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9822) succ(n1) = all_4_5 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9822) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9823) all_4_5 = n2 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9821) gives: % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9824) all_4_9 = n0 % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9823), (9824) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9825) sum(n0, n2) = all_4_2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9805), (9824) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9826) sum(n0, n4) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9803), (9823) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9827) sum(n2, n2) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9825) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9828) all_4_2 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n4, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (9826) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9829) all_4_7 = n4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n2, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (61), (9827) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9830) all_4_4 = n4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (65), (115), (685), (9807), (9828), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9829), (9830) are inconsistent by sub-proof #23. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9831) all_4_11 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9831) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9832) pred(n0) = all_4_9 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9831) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9833) succ(n0) = all_4_5 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9833) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9834) all_4_5 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9832) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9835) all_4_9 = n25 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9834), (9835) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9836) sum(n25, n1) = all_4_2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9805), (9835) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9837) sum(n25, n4) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9803), (9834) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838) sum(n2, n1) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n1, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (9838) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9839) all_4_4 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9836) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9840) all_4_2 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n4, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (661), (9837) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9841) all_4_7 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (88), (685), (9807), (9839), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9840), (9841) are inconsistent by sub-proof #22. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9842) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9797) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9843) all_4_11 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9843) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9844) pred(n2) = all_4_9 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9843) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9845) succ(n2) = all_4_5 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9845) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9846) all_4_5 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9844) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9847) all_4_9 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9846) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9848) sum(all_4_6, n3) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9846), (9847) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9849) sum(n1, n3) = all_4_2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9847) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9850) sum(n1, all_4_8) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9849) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9851) all_4_2 = n4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9851) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9852) sum(n4, all_4_1) = all_4_0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9842) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9853) all_4_10 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9853) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9854) pred(n2) = all_4_6 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9853) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9855) succ(n2) = all_4_8 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9855) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9856) all_4_8 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9854) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9857) all_4_6 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9856), (9857) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9858) sum(n1, n3) = all_4_1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9848), (9857) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9859) sum(n1, n3) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9850), (9856) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860) sum(n1, n3) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n3, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9859) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9861) all_4_4 = n4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n3, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9858), (9859) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862) all_4_1 = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n3, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9858), (9860) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863) all_4_1 = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (685), (9852), (9861), (9862), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863) are inconsistent by sub-proof #18. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9864) all_4_10 = n1 | all_4_10 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9864) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9865) all_4_10 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9865) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9866) pred(n1) = all_4_6 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9865) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9867) succ(n1) = all_4_8 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9867) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9868) all_4_8 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9866) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9869) all_4_6 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9868), (9869) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9870) sum(n0, n2) = all_4_1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9848), (9869) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9871) sum(n0, n3) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9850), (9868) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9872) sum(n1, n2) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9870) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9873) all_4_1 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n3, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (9871) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9874) all_4_4 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n2, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (35), (9872) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9875) all_4_7 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (88), (113), (685), (9852), (9873), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9874), (9875) are inconsistent by sub-proof #17. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9876) all_4_10 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9876) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9877) pred(n0) = all_4_6 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9876) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878) succ(n0) = all_4_8 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9878) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9879) all_4_8 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9877) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9880) all_4_6 = n25 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9879), (9880) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9881) sum(n25, n1) = all_4_1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9848), (9880) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9882) sum(n25, n3) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9850), (9879) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9883) sum(n1, n1) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n1, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (9883) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884) all_4_7 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9881) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9885) all_4_1 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n3, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (660), (9882) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9886) all_4_4 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (111), (685), (9852), (9884), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9885), (9886) are inconsistent by sub-proof #16. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9887) all_4_11 = n1 | all_4_11 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9842) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9888) all_4_10 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9888) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9889) pred(n2) = all_4_6 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9888) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9890) succ(n2) = all_4_8 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (691), (9890) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9891) all_4_8 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (719), (9889) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9892) all_4_6 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9892) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9893) sum(n1, all_4_5) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9891), (9892) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9894) sum(n1, n3) = all_4_1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9891) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9895) sum(all_4_9, n3) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (9894) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9896) all_4_1 = n4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9896) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9897) sum(all_4_2, n4) = all_4_0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9887) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9898) all_4_11 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9898) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9899) pred(n1) = all_4_9 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9898) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9900) succ(n1) = all_4_5 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9900) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9901) all_4_5 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9899) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9902) all_4_9 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9901), (9902) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903) sum(n0, n2) = all_4_2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9895), (9902) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9904) sum(n0, n3) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9893), (9901) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9905) sum(n1, n2) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9903) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9906) all_4_2 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n3, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (9904) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907) all_4_7 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n2, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (35), (9905) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9908) all_4_4 = n3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (63), (88), (685), (9897), (9906), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907), (9908) are inconsistent by sub-proof #12. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9909) all_4_11 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9909) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9910) pred(n0) = all_4_9 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9909) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911) succ(n0) = all_4_5 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9911) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9912) all_4_5 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9910) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9913) all_4_9 = n25 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9912), (9913) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9914) sum(n25, n1) = all_4_2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9895), (9913) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915) sum(n25, n3) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9893), (9912) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9916) sum(n1, n1) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n1, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (9916) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9917) all_4_4 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9914) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918) all_4_2 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n3, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (660), (9915) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9919) all_4_7 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (61), (685), (9897), (9917), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918), (9919) are inconsistent by sub-proof #11. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9920) all_4_10 = n1 | all_4_10 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9887) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9921) all_4_11 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9921) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9922) pred(n1) = all_4_9 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9921) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9923) succ(n1) = all_4_5 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9923) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9924) all_4_5 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9922) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9925) all_4_9 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9924) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9926) sum(all_4_6, n2) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9924), (9925) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9927) sum(n0, n2) = all_4_2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9925) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928) sum(n0, all_4_8) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9927) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929) all_4_2 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9929) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930) sum(n2, all_4_1) = all_4_0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9920) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9931) all_4_10 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9931) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9932) pred(n1) = all_4_6 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9931) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9933) succ(n1) = all_4_8 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9933) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9934) all_4_8 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9932) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9935) all_4_6 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9934), (9935) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9936) sum(n0, n2) = all_4_1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9926), (9935) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9937) sum(n0, n2) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9928), (9934) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9938) sum(n0, n2) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9937) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9939) all_4_4 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9936), (9937) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9940) all_4_1 = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9936), (9938) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941) all_4_1 = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (61), (685), (9930), (9939), (9940), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941) are inconsistent by sub-proof #8. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9942) all_4_10 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9942) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943) pred(n0) = all_4_6 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9942) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944) succ(n0) = all_4_8 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9944) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9945) all_4_8 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9943) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9946) all_4_6 = n25 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9945), (9946) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9947) sum(n25, n1) = all_4_1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9926), (9946) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) sum(n25, n2) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9928), (9945) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9949) sum(n0, n1) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n1, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (9949) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9950) all_4_7 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9947) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9951) all_4_1 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n2, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (659), (9948) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9952) all_4_4 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (34), (59), (685), (9930), (9950), % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9951), (9952) are inconsistent by sub-proof #7. % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9953) all_4_11 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9953) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9954) pred(n0) = all_4_9 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9953) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9955) succ(n0) = all_4_5 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9955) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9956) all_4_5 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_9, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9954) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9957) all_4_9 = n25 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9956) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9958) sum(all_4_6, n1) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (9956), (9957) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9959) sum(n25, n1) = all_4_2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9957) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9960) sum(n25, all_4_8) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9959) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9961) all_4_2 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9961) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9962) sum(n0, all_4_1) = all_4_0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9920) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9963) all_4_10 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9963) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9964) pred(n1) = all_4_6 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9963) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9965) succ(n1) = all_4_8 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (690), (9965) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9966) all_4_8 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (9964) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9967) all_4_6 = n0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9966), (9967) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968) sum(n0, n2) = all_4_1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9958), (9967) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9969) sum(n0, n1) = all_4_4 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9960), (9966) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9970) sum(n25, n2) = all_4_7 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n1, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (9969) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9971) all_4_4 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (9968) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9972) all_4_1 = n2 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n2, n25, % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (659), (9970) gives: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9973) all_4_7 = n1 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (9971), (9973) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9974) sum(n1, n1) = all_4_3 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9962), (9972) imply: % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9975) sum(n0, n2) = all_4_0 % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (34), (9974), (9975) are % 190.79/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9976) all_4_10 = n0 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9976) imply: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) pred(n0) = all_4_6 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (9976) imply: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978) succ(n0) = all_4_8 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0, % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (689), (9978) gives: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9979) all_4_8 = n1 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n25, all_4_6, n0, % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (717), (9977) gives: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9980) all_4_6 = n25 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9979), (9980) imply: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9981) sum(n25, n1) = all_4_1 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9958), (9980) imply: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) sum(n25, n1) = all_4_4 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9960), (9979) imply: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) sum(n25, n1) = all_4_7 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n1, n25, % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (658), (9982) gives: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) all_4_4 = n0 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n1, n25, % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9981), (9982) gives: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) all_4_1 = all_4_4 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n1, n25, % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9981), (9983) gives: % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) all_4_1 = all_4_7 % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (685), (9962), (9984), (9985), % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) are inconsistent by sub-proof #2. % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | | % 190.79/27.58 | | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | | % 190.79/27.58 | | | | | | | | | End of split % 190.79/27.58 | | | | | | | | | % 190.79/27.58 | | | | | | | | End of split % 190.79/27.58 | | | | | | | | % 190.79/27.58 | | | | | | | End of split % 190.79/27.58 | | | | | | | % 190.79/27.58 | | | | | | End of split % 190.79/27.58 | | | | | | % 190.79/27.58 | | | | | End of split % 190.79/27.58 | | | | | % 190.79/27.58 | | | | End of split % 190.79/27.58 | | | | % 190.79/27.58 | | | End of split % 190.79/27.58 | | | % 190.79/27.58 | | End of split % 190.79/27.58 | | % 190.79/27.58 | End of split % 190.79/27.58 | % 190.79/27.58 End of proof % 190.79/27.58 % 190.79/27.58 Sub-proof #1 shows that the following formulas are inconsistent: % 190.79/27.58 ---------------------------------------------------------------- % 190.79/27.58 (1) sum(n0, n0) = all_4_0 % 190.79/27.58 (2) ~ (all_4_0 = all_4_3) % 190.79/27.58 (3) sum(n13, n13) = all_4_3 % 190.79/27.58 (4) sum(n0, n0) = n0 % 190.79/27.58 (5) sum(n13, n13) = n0 % 190.79/27.58 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.58 % 190.79/27.58 Begin of proof % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n0, all_4_0, n0, n0, simplifying with (1), % 190.79/27.58 | (4) gives: % 190.79/27.58 | (7) all_4_0 = n0 % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n0, all_4_3, n13, n13, simplifying with % 190.79/27.58 | (3), (5) gives: % 190.79/27.58 | (8) all_4_3 = n0 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (2), (7), (8) imply: % 190.79/27.58 | (9) $false % 190.79/27.58 | % 190.79/27.58 | CLOSE: (9) is inconsistent. % 190.79/27.58 | % 190.79/27.58 End of proof % 190.79/27.58 % 190.79/27.58 Sub-proof #2 shows that the following formulas are inconsistent: % 190.79/27.58 ---------------------------------------------------------------- % 190.79/27.58 (1) all_4_1 = all_4_7 % 190.79/27.58 (2) ~ (all_4_0 = all_4_3) % 190.79/27.58 (3) sum(n0, n0) = n0 % 190.79/27.58 (4) all_4_4 = n0 % 190.79/27.58 (5) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.58 (6) sum(n0, all_4_1) = all_4_0 % 190.79/27.58 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.58 (8) all_4_1 = all_4_4 % 190.79/27.58 % 190.79/27.58 Begin of proof % 190.79/27.58 | % 190.79/27.58 | COMBINE_EQS: (1), (8) imply: % 190.79/27.58 | (9) all_4_4 = all_4_7 % 190.79/27.58 | % 190.79/27.58 | SIMP: (9) implies: % 190.79/27.58 | (10) all_4_4 = all_4_7 % 190.79/27.58 | % 190.79/27.58 | COMBINE_EQS: (4), (10) imply: % 190.79/27.58 | (11) all_4_7 = n0 % 190.79/27.58 | % 190.79/27.58 | COMBINE_EQS: (1), (11) imply: % 190.79/27.58 | (12) all_4_1 = n0 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (4), (5), (11) imply: % 190.79/27.58 | (13) sum(n0, n0) = all_4_3 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (6), (12) imply: % 190.79/27.58 | (14) sum(n0, n0) = all_4_0 % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (7) with n0, all_4_0, n0, n0, simplifying with (3), % 190.79/27.58 | (14) gives: % 190.79/27.58 | (15) all_4_0 = n0 % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n0, n0, simplifying with % 190.79/27.58 | (13), (14) gives: % 190.79/27.58 | (16) all_4_0 = all_4_3 % 190.79/27.58 | % 190.79/27.58 | COMBINE_EQS: (15), (16) imply: % 190.79/27.58 | (17) all_4_3 = n0 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (2), (15), (17) imply: % 190.79/27.58 | (18) $false % 190.79/27.58 | % 190.79/27.58 | CLOSE: (18) is inconsistent. % 190.79/27.58 | % 190.79/27.58 End of proof % 190.79/27.58 % 190.79/27.58 Sub-proof #3 shows that the following formulas are inconsistent: % 190.79/27.58 ---------------------------------------------------------------- % 190.79/27.58 (1) sum(n14, n14) = all_4_3 % 190.79/27.58 (2) ~ (all_4_0 = all_4_3) % 190.79/27.58 (3) sum(n0, n2) = all_4_0 % 190.79/27.58 (4) sum(n14, n14) = n2 % 190.79/27.58 (5) sum(n0, n2) = n2 % 190.79/27.58 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.58 % 190.79/27.58 Begin of proof % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n2, all_4_0, n2, n0, simplifying with (3), % 190.79/27.58 | (5) gives: % 190.79/27.58 | (7) all_4_0 = n2 % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n2, all_4_3, n14, n14, simplifying with % 190.79/27.58 | (1), (4) gives: % 190.79/27.58 | (8) all_4_3 = n2 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (2), (7), (8) imply: % 190.79/27.58 | (9) $false % 190.79/27.58 | % 190.79/27.58 | CLOSE: (9) is inconsistent. % 190.79/27.58 | % 190.79/27.58 End of proof % 190.79/27.58 % 190.79/27.58 Sub-proof #4 shows that the following formulas are inconsistent: % 190.79/27.58 ---------------------------------------------------------------- % 190.79/27.58 (1) sum(n1, n1) = all_4_3 % 190.79/27.58 (2) sum(n1, n1) = n2 % 190.79/27.58 (3) ~ (all_4_0 = all_4_3) % 190.79/27.58 (4) sum(n0, n2) = all_4_0 % 190.79/27.58 (5) sum(n0, n2) = n2 % 190.79/27.58 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.58 % 190.79/27.58 Begin of proof % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n2, all_4_0, n2, n0, simplifying with (4), % 190.79/27.58 | (5) gives: % 190.79/27.58 | (7) all_4_0 = n2 % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 190.79/27.58 | (2) gives: % 190.79/27.58 | (8) all_4_3 = n2 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (3), (7), (8) imply: % 190.79/27.58 | (9) $false % 190.79/27.58 | % 190.79/27.58 | CLOSE: (9) is inconsistent. % 190.79/27.58 | % 190.79/27.58 End of proof % 190.79/27.58 % 190.79/27.58 Sub-proof #5 shows that the following formulas are inconsistent: % 190.79/27.58 ---------------------------------------------------------------- % 190.79/27.58 (1) sum(n2, n0) = n2 % 190.79/27.58 (2) sum(n14, n14) = all_4_3 % 190.79/27.58 (3) ~ (all_4_0 = all_4_3) % 190.79/27.58 (4) sum(n14, n14) = n2 % 190.79/27.58 (5) sum(n2, n0) = all_4_0 % 190.79/27.58 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.58 % 190.79/27.58 Begin of proof % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n2, all_4_0, n0, n2, simplifying with (1), % 190.79/27.58 | (5) gives: % 190.79/27.58 | (7) all_4_0 = n2 % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n2, all_4_3, n14, n14, simplifying with % 190.79/27.58 | (2), (4) gives: % 190.79/27.58 | (8) all_4_3 = n2 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (3), (7), (8) imply: % 190.79/27.58 | (9) $false % 190.79/27.58 | % 190.79/27.58 | CLOSE: (9) is inconsistent. % 190.79/27.58 | % 190.79/27.58 End of proof % 190.79/27.58 % 190.79/27.58 Sub-proof #6 shows that the following formulas are inconsistent: % 190.79/27.58 ---------------------------------------------------------------- % 190.79/27.58 (1) sum(n15, n15) = n4 % 190.79/27.58 (2) ~ (all_4_0 = all_4_3) % 190.79/27.58 (3) sum(n15, n15) = all_4_3 % 190.79/27.58 (4) sum(n2, n2) = n4 % 190.79/27.58 (5) sum(n2, n2) = all_4_0 % 190.79/27.58 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.58 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.58 % 190.79/27.58 Begin of proof % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n4, all_4_0, n2, n2, simplifying with (4), % 190.79/27.58 | (5) gives: % 190.79/27.58 | (7) all_4_0 = n4 % 190.79/27.58 | % 190.79/27.58 | GROUND_INST: instantiating (6) with n4, all_4_3, n15, n15, simplifying with % 190.79/27.58 | (1), (3) gives: % 190.79/27.58 | (8) all_4_3 = n4 % 190.79/27.58 | % 190.79/27.58 | REDUCE: (2), (7), (8) imply: % 190.79/27.58 | (9) $false % 190.79/27.58 | % 190.79/27.58 | CLOSE: (9) is inconsistent. % 190.79/27.58 | % 190.79/27.58 End of proof % 190.79/27.58 % 190.79/27.58 Sub-proof #7 shows that the following formulas are inconsistent: % 190.79/27.58 ---------------------------------------------------------------- % 190.79/27.58 (1) sum(n2, n0) = n2 % 190.79/27.58 (2) sum(n2, all_4_1) = all_4_0 % 190.79/27.58 (3) all_4_4 = n1 % 190.79/27.58 (4) sum(n1, n1) = n2 % 190.79/27.58 (5) ~ (all_4_0 = all_4_3) % 190.79/27.58 (6) all_4_7 = n1 % 190.79/27.58 (7) all_4_1 = n0 % 190.79/27.58 (8) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.59 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | REDUCE: (3), (6), (8) imply: % 190.79/27.59 | (10) sum(n1, n1) = all_4_3 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (2), (7) imply: % 190.79/27.59 | (11) sum(n2, n0) = all_4_0 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (9) with n2, all_4_3, n1, n1, simplifying with (4), % 190.79/27.59 | (10) gives: % 190.79/27.59 | (12) all_4_3 = n2 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (9) with n2, all_4_0, n0, n2, simplifying with (1), % 190.79/27.59 | (11) gives: % 190.79/27.59 | (13) all_4_0 = n2 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (5), (12), (13) imply: % 190.79/27.59 | (14) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (14) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #8 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) sum(n2, all_4_1) = all_4_0 % 190.79/27.59 (2) all_4_1 = all_4_7 % 190.79/27.59 (3) ~ (all_4_0 = all_4_3) % 190.79/27.59 (4) all_4_4 = n2 % 190.79/27.59 (5) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.59 (6) sum(n2, n2) = n4 % 190.79/27.59 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 (8) all_4_1 = all_4_4 % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | COMBINE_EQS: (2), (8) imply: % 190.79/27.59 | (9) all_4_4 = all_4_7 % 190.79/27.59 | % 190.79/27.59 | SIMP: (9) implies: % 190.79/27.59 | (10) all_4_4 = all_4_7 % 190.79/27.59 | % 190.79/27.59 | COMBINE_EQS: (4), (10) imply: % 190.79/27.59 | (11) all_4_7 = n2 % 190.79/27.59 | % 190.79/27.59 | COMBINE_EQS: (2), (11) imply: % 190.79/27.59 | (12) all_4_1 = n2 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (4), (5), (11) imply: % 190.79/27.59 | (13) sum(n2, n2) = all_4_3 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (1), (12) imply: % 190.79/27.59 | (14) sum(n2, n2) = all_4_0 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (7) with n4, all_4_0, n2, n2, simplifying with (6), % 190.79/27.59 | (14) gives: % 190.79/27.59 | (15) all_4_0 = n4 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n2, n2, simplifying with % 190.79/27.59 | (13), (14) gives: % 190.79/27.59 | (16) all_4_0 = all_4_3 % 190.79/27.59 | % 190.79/27.59 | COMBINE_EQS: (15), (16) imply: % 190.79/27.59 | (17) all_4_3 = n4 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (3), (15), (17) imply: % 190.79/27.59 | (18) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (18) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #9 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) sum(n15, n15) = n4 % 190.79/27.59 (2) ~ (all_4_0 = all_4_3) % 190.79/27.59 (3) sum(n15, n15) = all_4_3 % 190.79/27.59 (4) sum(n0, n4) = all_4_0 % 190.79/27.59 (5) sum(n0, n4) = n4 % 190.79/27.59 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n4, all_4_0, n4, n0, simplifying with (4), % 190.79/27.59 | (5) gives: % 190.79/27.59 | (7) all_4_0 = n4 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n4, all_4_3, n15, n15, simplifying with % 190.79/27.59 | (1), (3) gives: % 190.79/27.59 | (8) all_4_3 = n4 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (2), (7), (8) imply: % 190.79/27.59 | (9) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (9) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #10 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) sum(n16, n16) = all_4_3 % 190.79/27.59 (2) ~ (all_4_0 = all_4_3) % 190.79/27.59 (3) sum(n2, n4) = n6 % 190.79/27.59 (4) sum(n16, n16) = n6 % 190.79/27.59 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 (6) sum(n2, n4) = all_4_0 % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (5) with n6, all_4_0, n4, n2, simplifying with (3), % 190.79/27.59 | (6) gives: % 190.79/27.59 | (7) all_4_0 = n6 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (5) with n6, all_4_3, n16, n16, simplifying with % 190.79/27.59 | (1), (4) gives: % 190.79/27.59 | (8) all_4_3 = n6 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (2), (7), (8) imply: % 190.79/27.59 | (9) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (9) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #11 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) all_4_2 = n0 % 190.79/27.59 (2) ~ (all_4_0 = all_4_3) % 190.79/27.59 (3) all_4_4 = n2 % 190.79/27.59 (4) all_4_7 = n2 % 190.79/27.59 (5) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.59 (6) sum(n2, n2) = n4 % 190.79/27.59 (7) sum(all_4_2, n4) = all_4_0 % 190.79/27.59 (8) sum(n0, n4) = n4 % 190.79/27.59 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | REDUCE: (1), (7) imply: % 190.79/27.59 | (10) sum(n0, n4) = all_4_0 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (3), (4), (5) imply: % 190.79/27.59 | (11) sum(n2, n2) = all_4_3 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (9) with n4, all_4_0, n4, n0, simplifying with (8), % 190.79/27.59 | (10) gives: % 190.79/27.59 | (12) all_4_0 = n4 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (9) with n4, all_4_3, n2, n2, simplifying with (6), % 190.79/27.59 | (11) gives: % 190.79/27.59 | (13) all_4_3 = n4 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (2), (12), (13) imply: % 190.79/27.59 | (14) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (14) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #12 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) all_4_2 = n2 % 190.79/27.59 (2) all_4_7 = n3 % 190.79/27.59 (3) sum(n3, n3) = n6 % 190.79/27.59 (4) ~ (all_4_0 = all_4_3) % 190.79/27.59 (5) sum(n2, n4) = n6 % 190.79/27.59 (6) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.59 (7) sum(all_4_2, n4) = all_4_0 % 190.79/27.59 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 (9) all_4_4 = n3 % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | REDUCE: (1), (7) imply: % 190.79/27.59 | (10) sum(n2, n4) = all_4_0 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (2), (6), (9) imply: % 190.79/27.59 | (11) sum(n3, n3) = all_4_3 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (8) with n6, all_4_0, n4, n2, simplifying with (5), % 190.79/27.59 | (10) gives: % 190.79/27.59 | (12) all_4_0 = n6 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (8) with n6, all_4_3, n3, n3, simplifying with (3), % 190.79/27.59 | (11) gives: % 190.79/27.59 | (13) all_4_3 = n6 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (4), (12), (13) imply: % 190.79/27.59 | (14) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (14) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #13 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) sum(n15, n15) = n4 % 190.79/27.59 (2) ~ (all_4_0 = all_4_3) % 190.79/27.59 (3) sum(n15, n15) = all_4_3 % 190.79/27.59 (4) sum(n4, n0) = n4 % 190.79/27.59 (5) sum(n4, n0) = all_4_0 % 190.79/27.59 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n4, all_4_0, n0, n4, simplifying with (4), % 190.79/27.59 | (5) gives: % 190.79/27.59 | (7) all_4_0 = n4 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n4, all_4_3, n15, n15, simplifying with % 190.79/27.59 | (1), (3) gives: % 190.79/27.59 | (8) all_4_3 = n4 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (2), (7), (8) imply: % 190.79/27.59 | (9) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (9) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #14 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) sum(n4, n2) = all_4_0 % 190.79/27.59 (2) sum(n16, n16) = all_4_3 % 190.79/27.59 (3) ~ (all_4_0 = all_4_3) % 190.79/27.59 (4) sum(n4, n2) = n6 % 190.79/27.59 (5) sum(n16, n16) = n6 % 190.79/27.59 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n6, all_4_0, n2, n4, simplifying with (1), % 190.79/27.59 | (4) gives: % 190.79/27.59 | (7) all_4_0 = n6 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n6, all_4_3, n16, n16, simplifying with % 190.79/27.59 | (2), (5) gives: % 190.79/27.59 | (8) all_4_3 = n6 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (3), (7), (8) imply: % 190.79/27.59 | (9) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (9) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #15 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) ~ (all_4_0 = all_4_3) % 190.79/27.59 (2) sum(n4, n4) = all_4_0 % 190.79/27.59 (3) sum(n17, n17) = n8 % 190.79/27.59 (4) sum(n17, n17) = all_4_3 % 190.79/27.59 (5) sum(n4, n4) = n8 % 190.79/27.59 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n8, all_4_0, n4, n4, simplifying with (2), % 190.79/27.59 | (5) gives: % 190.79/27.59 | (7) all_4_0 = n8 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (6) with n8, all_4_3, n17, n17, simplifying with % 190.79/27.59 | (3), (4) gives: % 190.79/27.59 | (8) all_4_3 = n8 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (1), (7), (8) imply: % 190.79/27.59 | (9) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (9) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #16 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) sum(n4, all_4_1) = all_4_0 % 190.79/27.59 (2) ~ (all_4_0 = all_4_3) % 190.79/27.59 (3) all_4_4 = n2 % 190.79/27.59 (4) all_4_7 = n2 % 190.79/27.59 (5) all_4_1 = n0 % 190.79/27.59 (6) sum(n4, n0) = n4 % 190.79/27.59 (7) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.59 (8) sum(n2, n2) = n4 % 190.79/27.59 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.59 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.59 % 190.79/27.59 Begin of proof % 190.79/27.59 | % 190.79/27.59 | REDUCE: (3), (4), (7) imply: % 190.79/27.59 | (10) sum(n2, n2) = all_4_3 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (1), (5) imply: % 190.79/27.59 | (11) sum(n4, n0) = all_4_0 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (9) with n4, all_4_3, n2, n2, simplifying with (8), % 190.79/27.59 | (10) gives: % 190.79/27.59 | (12) all_4_3 = n4 % 190.79/27.59 | % 190.79/27.59 | GROUND_INST: instantiating (9) with n4, all_4_0, n0, n4, simplifying with (6), % 190.79/27.59 | (11) gives: % 190.79/27.59 | (13) all_4_0 = n4 % 190.79/27.59 | % 190.79/27.59 | REDUCE: (2), (12), (13) imply: % 190.79/27.59 | (14) $false % 190.79/27.59 | % 190.79/27.59 | CLOSE: (14) is inconsistent. % 190.79/27.59 | % 190.79/27.59 End of proof % 190.79/27.59 % 190.79/27.59 Sub-proof #17 shows that the following formulas are inconsistent: % 190.79/27.59 ---------------------------------------------------------------- % 190.79/27.59 (1) sum(n4, all_4_1) = all_4_0 % 190.79/27.59 (2) all_4_7 = n3 % 190.79/27.59 (3) sum(n3, n3) = n6 % 190.79/27.59 (4) ~ (all_4_0 = all_4_3) % 190.79/27.59 (5) sum(n4, n2) = n6 % 190.79/27.59 (6) all_4_1 = n2 % 190.79/27.59 (7) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.60 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 (9) all_4_4 = n3 % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | REDUCE: (2), (7), (9) imply: % 190.79/27.60 | (10) sum(n3, n3) = all_4_3 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (6) imply: % 190.79/27.60 | (11) sum(n4, n2) = all_4_0 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (8) with n6, all_4_3, n3, n3, simplifying with (3), % 190.79/27.60 | (10) gives: % 190.79/27.60 | (12) all_4_3 = n6 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (8) with n6, all_4_0, n2, n4, simplifying with (5), % 190.79/27.60 | (11) gives: % 190.79/27.60 | (13) all_4_0 = n6 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (4), (12), (13) imply: % 190.79/27.60 | (14) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (14) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #18 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) sum(n4, all_4_1) = all_4_0 % 190.79/27.60 (2) all_4_1 = all_4_7 % 190.79/27.60 (3) all_4_4 = n4 % 190.79/27.60 (4) ~ (all_4_0 = all_4_3) % 190.79/27.60 (5) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.60 (6) sum(n4, n4) = n8 % 190.79/27.60 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 (8) all_4_1 = all_4_4 % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | COMBINE_EQS: (2), (8) imply: % 190.79/27.60 | (9) all_4_4 = all_4_7 % 190.79/27.60 | % 190.79/27.60 | SIMP: (9) implies: % 190.79/27.60 | (10) all_4_4 = all_4_7 % 190.79/27.60 | % 190.79/27.60 | COMBINE_EQS: (3), (10) imply: % 190.79/27.60 | (11) all_4_7 = n4 % 190.79/27.60 | % 190.79/27.60 | COMBINE_EQS: (2), (11) imply: % 190.79/27.60 | (12) all_4_1 = n4 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (3), (5), (11) imply: % 190.79/27.60 | (13) sum(n4, n4) = all_4_3 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (12) imply: % 190.79/27.60 | (14) sum(n4, n4) = all_4_0 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (7) with n8, all_4_0, n4, n4, simplifying with (6), % 190.79/27.60 | (14) gives: % 190.79/27.60 | (15) all_4_0 = n8 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n4, n4, simplifying with % 190.79/27.60 | (13), (14) gives: % 190.79/27.60 | (16) all_4_0 = all_4_3 % 190.79/27.60 | % 190.79/27.60 | COMBINE_EQS: (15), (16) imply: % 190.79/27.60 | (17) all_4_3 = n8 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (4), (15), (17) imply: % 190.79/27.60 | (18) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (18) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #19 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) sum(n0, n6) = n6 % 190.79/27.60 (2) sum(n16, n16) = all_4_3 % 190.79/27.60 (3) ~ (all_4_0 = all_4_3) % 190.79/27.60 (4) sum(n0, n6) = all_4_0 % 190.79/27.60 (5) sum(n16, n16) = n6 % 190.79/27.60 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n6, all_4_0, n6, n0, simplifying with (1), % 190.79/27.60 | (4) gives: % 190.79/27.60 | (7) all_4_0 = n6 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n6, all_4_3, n16, n16, simplifying with % 190.79/27.60 | (2), (5) gives: % 190.79/27.60 | (8) all_4_3 = n6 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (3), (7), (8) imply: % 190.79/27.60 | (9) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (9) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #20 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) ~ (all_4_0 = all_4_3) % 190.79/27.60 (2) sum(n2, n6) = n8 % 190.79/27.60 (3) sum(n2, n6) = all_4_0 % 190.79/27.60 (4) sum(n17, n17) = n8 % 190.79/27.60 (5) sum(n17, n17) = all_4_3 % 190.79/27.60 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n8, all_4_0, n6, n2, simplifying with (2), % 190.79/27.60 | (3) gives: % 190.79/27.60 | (7) all_4_0 = n8 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n8, all_4_3, n17, n17, simplifying with % 190.79/27.60 | (4), (5) gives: % 190.79/27.60 | (8) all_4_3 = n8 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (7), (8) imply: % 190.79/27.60 | (9) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (9) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #21 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) ~ (all_4_0 = all_4_3) % 190.79/27.60 (2) sum(n18, n18) = n10 % 190.79/27.60 (3) sum(n4, n6) = all_4_0 % 190.79/27.60 (4) sum(n18, n18) = all_4_3 % 190.79/27.60 (5) sum(n4, n6) = n10 % 190.79/27.60 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n10, all_4_0, n6, n4, simplifying with % 190.79/27.60 | (3), (5) gives: % 190.79/27.60 | (7) all_4_0 = n10 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n10, all_4_3, n18, n18, simplifying with % 190.79/27.60 | (2), (4) gives: % 190.79/27.60 | (8) all_4_3 = n10 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (7), (8) imply: % 190.79/27.60 | (9) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (9) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #22 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) all_4_2 = n0 % 190.79/27.60 (2) sum(n0, n6) = n6 % 190.79/27.60 (3) all_4_7 = n3 % 190.79/27.60 (4) sum(n3, n3) = n6 % 190.79/27.60 (5) ~ (all_4_0 = all_4_3) % 190.79/27.60 (6) sum(all_4_2, n6) = all_4_0 % 190.79/27.60 (7) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.60 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 (9) all_4_4 = n3 % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (6) imply: % 190.79/27.60 | (10) sum(n0, n6) = all_4_0 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (3), (7), (9) imply: % 190.79/27.60 | (11) sum(n3, n3) = all_4_3 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (8) with n6, all_4_0, n6, n0, simplifying with (2), % 190.79/27.60 | (10) gives: % 190.79/27.60 | (12) all_4_0 = n6 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (8) with n6, all_4_3, n3, n3, simplifying with (4), % 190.79/27.60 | (11) gives: % 190.79/27.60 | (13) all_4_3 = n6 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (5), (12), (13) imply: % 190.79/27.60 | (14) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (14) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #23 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) all_4_7 = n4 % 190.79/27.60 (2) all_4_2 = n2 % 190.79/27.60 (3) all_4_4 = n4 % 190.79/27.60 (4) ~ (all_4_0 = all_4_3) % 190.79/27.60 (5) sum(n2, n6) = n8 % 190.79/27.60 (6) sum(all_4_2, n6) = all_4_0 % 190.79/27.60 (7) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.60 (8) sum(n4, n4) = n8 % 190.79/27.60 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | REDUCE: (2), (6) imply: % 190.79/27.60 | (10) sum(n2, n6) = all_4_0 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (3), (7) imply: % 190.79/27.60 | (11) sum(n4, n4) = all_4_3 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (9) with n8, all_4_0, n6, n2, simplifying with (5), % 190.79/27.60 | (10) gives: % 190.79/27.60 | (12) all_4_0 = n8 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (8), % 190.79/27.60 | (11) gives: % 190.79/27.60 | (13) all_4_3 = n8 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (4), (12), (13) imply: % 190.79/27.60 | (14) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (14) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #24 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) all_4_7 = n5 % 190.79/27.60 (2) ~ (all_4_0 = all_4_3) % 190.79/27.60 (3) sum(n5, n5) = n10 % 190.79/27.60 (4) all_4_4 = n5 % 190.79/27.60 (5) sum(all_4_2, n6) = all_4_0 % 190.79/27.60 (6) all_4_2 = n4 % 190.79/27.60 (7) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.60 (8) sum(n4, n6) = n10 % 190.79/27.60 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | REDUCE: (5), (6) imply: % 190.79/27.60 | (10) sum(n4, n6) = all_4_0 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (4), (7) imply: % 190.79/27.60 | (11) sum(n5, n5) = all_4_3 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (9) with n10, all_4_0, n6, n4, simplifying with % 190.79/27.60 | (8), (10) gives: % 190.79/27.60 | (12) all_4_0 = n10 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with % 190.79/27.60 | (3), (11) gives: % 190.79/27.60 | (13) all_4_3 = n10 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (2), (12), (13) imply: % 190.79/27.60 | (14) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (14) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #25 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) sum(n6, n0) = all_4_0 % 190.79/27.60 (2) sum(n6, n0) = n6 % 190.79/27.60 (3) sum(n16, n16) = all_4_3 % 190.79/27.60 (4) ~ (all_4_0 = all_4_3) % 190.79/27.60 (5) sum(n16, n16) = n6 % 190.79/27.60 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n6, all_4_0, n0, n6, simplifying with (1), % 190.79/27.60 | (2) gives: % 190.79/27.60 | (7) all_4_0 = n6 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n6, all_4_3, n16, n16, simplifying with % 190.79/27.60 | (3), (5) gives: % 190.79/27.60 | (8) all_4_3 = n6 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (4), (7), (8) imply: % 190.79/27.60 | (9) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (9) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #26 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) ~ (all_4_0 = all_4_3) % 190.79/27.60 (2) sum(n17, n17) = n8 % 190.79/27.60 (3) sum(n6, n2) = all_4_0 % 190.79/27.60 (4) sum(n17, n17) = all_4_3 % 190.79/27.60 (5) sum(n6, n2) = n8 % 190.79/27.60 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.60 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.60 % 190.79/27.60 Begin of proof % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n8, all_4_0, n2, n6, simplifying with (3), % 190.79/27.60 | (5) gives: % 190.79/27.60 | (7) all_4_0 = n8 % 190.79/27.60 | % 190.79/27.60 | GROUND_INST: instantiating (6) with n8, all_4_3, n17, n17, simplifying with % 190.79/27.60 | (2), (4) gives: % 190.79/27.60 | (8) all_4_3 = n8 % 190.79/27.60 | % 190.79/27.60 | REDUCE: (1), (7), (8) imply: % 190.79/27.60 | (9) $false % 190.79/27.60 | % 190.79/27.60 | CLOSE: (9) is inconsistent. % 190.79/27.60 | % 190.79/27.60 End of proof % 190.79/27.60 % 190.79/27.60 Sub-proof #27 shows that the following formulas are inconsistent: % 190.79/27.60 ---------------------------------------------------------------- % 190.79/27.60 (1) ~ (all_4_0 = all_4_3) % 190.79/27.60 (2) sum(n6, n4) = n10 % 190.79/27.60 (3) sum(n18, n18) = n10 % 190.79/27.60 (4) sum(n6, n4) = all_4_0 % 190.79/27.60 (5) sum(n18, n18) = all_4_3 % 190.79/27.60 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n10, all_4_0, n4, n6, simplifying with % 190.79/27.61 | (2), (4) gives: % 190.79/27.61 | (7) all_4_0 = n10 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n10, all_4_3, n18, n18, simplifying with % 190.79/27.61 | (3), (5) gives: % 190.79/27.61 | (8) all_4_3 = n10 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (1), (7), (8) imply: % 190.79/27.61 | (9) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (9) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #28 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) sum(n6, n6) = all_4_0 % 190.79/27.61 (2) sum(n19, n19) = all_4_3 % 190.79/27.61 (3) ~ (all_4_0 = all_4_3) % 190.79/27.61 (4) sum(n6, n6) = n12 % 190.79/27.61 (5) sum(n19, n19) = n12 % 190.79/27.61 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n12, all_4_0, n6, n6, simplifying with % 190.79/27.61 | (1), (4) gives: % 190.79/27.61 | (7) all_4_0 = n12 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n12, all_4_3, n19, n19, simplifying with % 190.79/27.61 | (2), (5) gives: % 190.79/27.61 | (8) all_4_3 = n12 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (3), (7), (8) imply: % 190.79/27.61 | (9) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (9) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #29 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) sum(n6, n0) = n6 % 190.79/27.61 (2) all_4_7 = n3 % 190.79/27.61 (3) sum(n3, n3) = n6 % 190.79/27.61 (4) ~ (all_4_0 = all_4_3) % 190.79/27.61 (5) sum(n6, all_4_1) = all_4_0 % 190.79/27.61 (6) all_4_1 = n0 % 190.79/27.61 (7) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.61 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 (9) all_4_4 = n3 % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | REDUCE: (2), (7), (9) imply: % 190.79/27.61 | (10) sum(n3, n3) = all_4_3 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (5), (6) imply: % 190.79/27.61 | (11) sum(n6, n0) = all_4_0 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (8) with n6, all_4_3, n3, n3, simplifying with (3), % 190.79/27.61 | (10) gives: % 190.79/27.61 | (12) all_4_3 = n6 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (8) with n6, all_4_0, n0, n6, simplifying with (1), % 190.79/27.61 | (11) gives: % 190.79/27.61 | (13) all_4_0 = n6 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (4), (12), (13) imply: % 190.79/27.61 | (14) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (14) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #30 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) all_4_7 = n4 % 190.79/27.61 (2) all_4_4 = n4 % 190.79/27.61 (3) ~ (all_4_0 = all_4_3) % 190.79/27.61 (4) sum(n6, all_4_1) = all_4_0 % 190.79/27.61 (5) all_4_1 = n2 % 190.79/27.61 (6) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.61 (7) sum(n4, n4) = n8 % 190.79/27.61 (8) sum(n6, n2) = n8 % 190.79/27.61 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | REDUCE: (1), (2), (6) imply: % 190.79/27.61 | (10) sum(n4, n4) = all_4_3 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (4), (5) imply: % 190.79/27.61 | (11) sum(n6, n2) = all_4_0 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (7), % 190.79/27.61 | (10) gives: % 190.79/27.61 | (12) all_4_3 = n8 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (9) with n8, all_4_0, n2, n6, simplifying with (8), % 190.79/27.61 | (11) gives: % 190.79/27.61 | (13) all_4_0 = n8 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (3), (12), (13) imply: % 190.79/27.61 | (14) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (14) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #31 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) all_4_7 = n5 % 190.79/27.61 (2) ~ (all_4_0 = all_4_3) % 190.79/27.61 (3) all_4_1 = n4 % 190.79/27.61 (4) sum(n6, n4) = n10 % 190.79/27.61 (5) sum(n5, n5) = n10 % 190.79/27.61 (6) all_4_4 = n5 % 190.79/27.61 (7) sum(n6, all_4_1) = all_4_0 % 190.79/27.61 (8) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.61 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | REDUCE: (1), (6), (8) imply: % 190.79/27.61 | (10) sum(n5, n5) = all_4_3 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (3), (7) imply: % 190.79/27.61 | (11) sum(n6, n4) = all_4_0 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with % 190.79/27.61 | (5), (10) gives: % 190.79/27.61 | (12) all_4_3 = n10 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (9) with n10, all_4_0, n4, n6, simplifying with % 190.79/27.61 | (4), (11) gives: % 190.79/27.61 | (13) all_4_0 = n10 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (2), (12), (13) imply: % 190.79/27.61 | (14) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (14) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #32 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) all_4_1 = all_4_7 % 190.79/27.61 (2) ~ (all_4_0 = all_4_3) % 190.79/27.61 (3) sum(n6, n6) = n12 % 190.79/27.61 (4) sum(n6, all_4_1) = all_4_0 % 190.79/27.61 (5) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.61 (6) all_4_4 = n6 % 190.79/27.61 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 (8) all_4_1 = all_4_4 % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | COMBINE_EQS: (1), (8) imply: % 190.79/27.61 | (9) all_4_4 = all_4_7 % 190.79/27.61 | % 190.79/27.61 | SIMP: (9) implies: % 190.79/27.61 | (10) all_4_4 = all_4_7 % 190.79/27.61 | % 190.79/27.61 | COMBINE_EQS: (6), (10) imply: % 190.79/27.61 | (11) all_4_7 = n6 % 190.79/27.61 | % 190.79/27.61 | COMBINE_EQS: (1), (11) imply: % 190.79/27.61 | (12) all_4_1 = n6 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (5), (6), (11) imply: % 190.79/27.61 | (13) sum(n6, n6) = all_4_3 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (4), (12) imply: % 190.79/27.61 | (14) sum(n6, n6) = all_4_0 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (7) with n12, all_4_0, n6, n6, simplifying with % 190.79/27.61 | (3), (14) gives: % 190.79/27.61 | (15) all_4_0 = n12 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n6, n6, simplifying with % 190.79/27.61 | (13), (14) gives: % 190.79/27.61 | (16) all_4_0 = all_4_3 % 190.79/27.61 | % 190.79/27.61 | COMBINE_EQS: (15), (16) imply: % 190.79/27.61 | (17) all_4_3 = n12 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (2), (15), (17) imply: % 190.79/27.61 | (18) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (18) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #33 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) sum(n0, n8) = all_4_0 % 190.79/27.61 (2) ~ (all_4_0 = all_4_3) % 190.79/27.61 (3) sum(n17, n17) = n8 % 190.79/27.61 (4) sum(n17, n17) = all_4_3 % 190.79/27.61 (5) sum(n0, n8) = n8 % 190.79/27.61 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n8, all_4_0, n8, n0, simplifying with (1), % 190.79/27.61 | (5) gives: % 190.79/27.61 | (7) all_4_0 = n8 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n8, all_4_3, n17, n17, simplifying with % 190.79/27.61 | (3), (4) gives: % 190.79/27.61 | (8) all_4_3 = n8 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (2), (7), (8) imply: % 190.79/27.61 | (9) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (9) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #34 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) ~ (all_4_0 = all_4_3) % 190.79/27.61 (2) sum(n18, n18) = n10 % 190.79/27.61 (3) sum(n2, n8) = all_4_0 % 190.79/27.61 (4) sum(n18, n18) = all_4_3 % 190.79/27.61 (5) sum(n2, n8) = n10 % 190.79/27.61 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n10, all_4_0, n8, n2, simplifying with % 190.79/27.61 | (3), (5) gives: % 190.79/27.61 | (7) all_4_0 = n10 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n10, all_4_3, n18, n18, simplifying with % 190.79/27.61 | (2), (4) gives: % 190.79/27.61 | (8) all_4_3 = n10 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (1), (7), (8) imply: % 190.79/27.61 | (9) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (9) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #35 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) sum(n19, n19) = all_4_3 % 190.79/27.61 (2) sum(n4, n8) = n12 % 190.79/27.61 (3) ~ (all_4_0 = all_4_3) % 190.79/27.61 (4) sum(n19, n19) = n12 % 190.79/27.61 (5) sum(n4, n8) = all_4_0 % 190.79/27.61 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n12, all_4_0, n8, n4, simplifying with % 190.79/27.61 | (2), (5) gives: % 190.79/27.61 | (7) all_4_0 = n12 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n12, all_4_3, n19, n19, simplifying with % 190.79/27.61 | (1), (4) gives: % 190.79/27.61 | (8) all_4_3 = n12 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (3), (7), (8) imply: % 190.79/27.61 | (9) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (9) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #36 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) sum(n6, n8) = n14 % 190.79/27.61 (2) sum(n20, n20) = all_4_3 % 190.79/27.61 (3) ~ (all_4_0 = all_4_3) % 190.79/27.61 (4) sum(n6, n8) = all_4_0 % 190.79/27.61 (5) sum(n20, n20) = n14 % 190.79/27.61 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n14, all_4_0, n8, n6, simplifying with % 190.79/27.61 | (1), (4) gives: % 190.79/27.61 | (7) all_4_0 = n14 % 190.79/27.61 | % 190.79/27.61 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 190.79/27.61 | (2), (5) gives: % 190.79/27.61 | (8) all_4_3 = n14 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (3), (7), (8) imply: % 190.79/27.61 | (9) $false % 190.79/27.61 | % 190.79/27.61 | CLOSE: (9) is inconsistent. % 190.79/27.61 | % 190.79/27.61 End of proof % 190.79/27.61 % 190.79/27.61 Sub-proof #37 shows that the following formulas are inconsistent: % 190.79/27.61 ---------------------------------------------------------------- % 190.79/27.61 (1) all_4_2 = n0 % 190.79/27.61 (2) all_4_7 = n4 % 190.79/27.61 (3) all_4_4 = n4 % 190.79/27.61 (4) ~ (all_4_0 = all_4_3) % 190.79/27.61 (5) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.61 (6) sum(n0, n8) = n8 % 190.79/27.61 (7) sum(n4, n4) = n8 % 190.79/27.61 (8) sum(all_4_2, n8) = all_4_0 % 190.79/27.61 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.61 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.61 % 190.79/27.61 Begin of proof % 190.79/27.61 | % 190.79/27.61 | REDUCE: (1), (8) imply: % 190.79/27.61 | (10) sum(n0, n8) = all_4_0 % 190.79/27.61 | % 190.79/27.61 | REDUCE: (2), (3), (5) imply: % 190.79/27.61 | (11) sum(n4, n4) = all_4_3 % 190.79/27.61 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n8, all_4_0, n8, n0, simplifying with (6), % 190.79/27.62 | (10) gives: % 190.79/27.62 | (12) all_4_0 = n8 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (7), % 190.79/27.62 | (11) gives: % 190.79/27.62 | (13) all_4_3 = n8 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (4), (12), (13) imply: % 190.79/27.62 | (14) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (14) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #38 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) all_4_2 = n2 % 190.79/27.62 (2) all_4_7 = n5 % 190.79/27.62 (3) ~ (all_4_0 = all_4_3) % 190.79/27.62 (4) sum(n5, n5) = n10 % 190.79/27.62 (5) all_4_4 = n5 % 190.79/27.62 (6) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.62 (7) sum(n2, n8) = n10 % 190.79/27.62 (8) sum(all_4_2, n8) = all_4_0 % 190.79/27.62 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | REDUCE: (1), (8) imply: % 190.79/27.62 | (10) sum(n2, n8) = all_4_0 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (2), (5), (6) imply: % 190.79/27.62 | (11) sum(n5, n5) = all_4_3 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n10, all_4_0, n8, n2, simplifying with % 190.79/27.62 | (7), (10) gives: % 190.79/27.62 | (12) all_4_0 = n10 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with % 190.79/27.62 | (4), (11) gives: % 190.79/27.62 | (13) all_4_3 = n10 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (3), (12), (13) imply: % 190.79/27.62 | (14) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (14) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #39 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) sum(n4, n8) = n12 % 190.79/27.62 (2) all_4_7 = n6 % 190.79/27.62 (3) ~ (all_4_0 = all_4_3) % 190.79/27.62 (4) sum(n6, n6) = n12 % 190.79/27.62 (5) all_4_2 = n4 % 190.79/27.62 (6) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.62 (7) all_4_4 = n6 % 190.79/27.62 (8) sum(all_4_2, n8) = all_4_0 % 190.79/27.62 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | REDUCE: (5), (8) imply: % 190.79/27.62 | (10) sum(n4, n8) = all_4_0 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (2), (6), (7) imply: % 190.79/27.62 | (11) sum(n6, n6) = all_4_3 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n12, all_4_0, n8, n4, simplifying with % 190.79/27.62 | (1), (10) gives: % 190.79/27.62 | (12) all_4_0 = n12 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with % 190.79/27.62 | (4), (11) gives: % 190.79/27.62 | (13) all_4_3 = n12 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (3), (12), (13) imply: % 190.79/27.62 | (14) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (14) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #40 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) sum(n6, n8) = n14 % 190.79/27.62 (2) sum(n7, n7) = n14 % 190.79/27.62 (3) all_4_7 = n7 % 190.79/27.62 (4) all_4_4 = n7 % 190.79/27.62 (5) ~ (all_4_0 = all_4_3) % 190.79/27.62 (6) all_4_2 = n6 % 190.79/27.62 (7) sum(all_4_7, all_4_4) = all_4_3 % 190.79/27.62 (8) sum(all_4_2, n8) = all_4_0 % 190.79/27.62 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | REDUCE: (6), (8) imply: % 190.79/27.62 | (10) sum(n6, n8) = all_4_0 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (3), (4), (7) imply: % 190.79/27.62 | (11) sum(n7, n7) = all_4_3 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n14, all_4_0, n8, n6, simplifying with % 190.79/27.62 | (1), (10) gives: % 190.79/27.62 | (12) all_4_0 = n14 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 190.79/27.62 | (2), (11) gives: % 190.79/27.62 | (13) all_4_3 = n14 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (5), (12), (13) imply: % 190.79/27.62 | (14) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (14) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #41 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) ~ (all_4_0 = all_4_3) % 190.79/27.62 (2) sum(n17, n17) = n8 % 190.79/27.62 (3) sum(n8, n0) = n8 % 190.79/27.62 (4) sum(n17, n17) = all_4_3 % 190.79/27.62 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 (6) sum(n8, n0) = all_4_0 % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (5) with n8, all_4_0, n0, n8, simplifying with (3), % 190.79/27.62 | (6) gives: % 190.79/27.62 | (7) all_4_0 = n8 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (5) with n8, all_4_3, n17, n17, simplifying with % 190.79/27.62 | (2), (4) gives: % 190.79/27.62 | (8) all_4_3 = n8 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (1), (7), (8) imply: % 190.79/27.62 | (9) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (9) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #42 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) sum(n8, n2) = n10 % 190.79/27.62 (2) ~ (all_4_0 = all_4_3) % 190.79/27.62 (3) sum(n8, n2) = all_4_0 % 190.79/27.62 (4) sum(n18, n18) = n10 % 190.79/27.62 (5) sum(n18, n18) = all_4_3 % 190.79/27.62 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n10, all_4_0, n2, n8, simplifying with % 190.79/27.62 | (1), (3) gives: % 190.79/27.62 | (7) all_4_0 = n10 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n10, all_4_3, n18, n18, simplifying with % 190.79/27.62 | (4), (5) gives: % 190.79/27.62 | (8) all_4_3 = n10 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (2), (7), (8) imply: % 190.79/27.62 | (9) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (9) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #43 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) sum(n19, n19) = all_4_3 % 190.79/27.62 (2) ~ (all_4_0 = all_4_3) % 190.79/27.62 (3) sum(n19, n19) = n12 % 190.79/27.62 (4) sum(n8, n4) = all_4_0 % 190.79/27.62 (5) sum(n8, n4) = n12 % 190.79/27.62 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n12, all_4_0, n4, n8, simplifying with % 190.79/27.62 | (4), (5) gives: % 190.79/27.62 | (7) all_4_0 = n12 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n12, all_4_3, n19, n19, simplifying with % 190.79/27.62 | (1), (3) gives: % 190.79/27.62 | (8) all_4_3 = n12 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (2), (7), (8) imply: % 190.79/27.62 | (9) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (9) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #44 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) sum(n20, n20) = all_4_3 % 190.79/27.62 (2) ~ (all_4_0 = all_4_3) % 190.79/27.62 (3) sum(n8, n6) = n14 % 190.79/27.62 (4) sum(n20, n20) = n14 % 190.79/27.62 (5) sum(n8, n6) = all_4_0 % 190.79/27.62 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n14, all_4_0, n6, n8, simplifying with % 190.79/27.62 | (3), (5) gives: % 190.79/27.62 | (7) all_4_0 = n14 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 190.79/27.62 | (1), (4) gives: % 190.79/27.62 | (8) all_4_3 = n14 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (2), (7), (8) imply: % 190.79/27.62 | (9) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (9) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #45 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) ~ (all_4_0 = all_4_3) % 190.79/27.62 (2) sum(n8, n8) = all_4_0 % 190.79/27.62 (3) sum(n8, n8) = n16 % 190.79/27.62 (4) sum(n21, n21) = n16 % 190.79/27.62 (5) sum(n21, n21) = all_4_3 % 190.79/27.62 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 190.79/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 190.79/27.62 % 190.79/27.62 Begin of proof % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n16, all_4_0, n8, n8, simplifying with % 190.79/27.62 | (2), (3) gives: % 190.79/27.62 | (7) all_4_0 = n16 % 190.79/27.62 | % 190.79/27.62 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 190.79/27.62 | (4), (5) gives: % 190.79/27.62 | (8) all_4_3 = n16 % 190.79/27.62 | % 190.79/27.62 | REDUCE: (1), (7), (8) imply: % 190.79/27.62 | (9) $false % 190.79/27.62 | % 190.79/27.62 | CLOSE: (9) is inconsistent. % 190.79/27.62 | % 190.79/27.62 End of proof % 190.79/27.62 % 190.79/27.62 Sub-proof #46 shows that the following formulas are inconsistent: % 190.79/27.62 ---------------------------------------------------------------- % 190.79/27.62 (1) all_4_7 = n4 % 190.79/27.62 (2) all_4_4 = n4 % 190.79/27.62 (3) ~ (all_4_0 = all_4_3) % 190.79/27.62 (4) sum(n8, n0) = n8 % 190.79/27.62 (5) all_4_1 = n0 % 190.79/27.62 (6) sum(n8, all_4_1) = all_4_0 % 190.79/27.62 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.62 (8) sum(n4, n4) = n8 % 191.14/27.62 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.62 % 191.14/27.62 Begin of proof % 191.14/27.62 | % 191.14/27.62 | REDUCE: (1), (2), (7) imply: % 191.14/27.62 | (10) sum(n4, n4) = all_4_3 % 191.14/27.62 | % 191.14/27.62 | REDUCE: (5), (6) imply: % 191.14/27.62 | (11) sum(n8, n0) = all_4_0 % 191.14/27.62 | % 191.14/27.62 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (8), % 191.14/27.62 | (10) gives: % 191.14/27.62 | (12) all_4_3 = n8 % 191.14/27.62 | % 191.14/27.62 | GROUND_INST: instantiating (9) with n8, all_4_0, n0, n8, simplifying with (4), % 191.14/27.62 | (11) gives: % 191.14/27.62 | (13) all_4_0 = n8 % 191.14/27.62 | % 191.14/27.62 | REDUCE: (3), (12), (13) imply: % 191.14/27.62 | (14) $false % 191.14/27.62 | % 191.14/27.62 | CLOSE: (14) is inconsistent. % 191.14/27.62 | % 191.14/27.62 End of proof % 191.14/27.62 % 191.14/27.62 Sub-proof #47 shows that the following formulas are inconsistent: % 191.14/27.62 ---------------------------------------------------------------- % 191.14/27.62 (1) sum(n8, n2) = n10 % 191.14/27.62 (2) all_4_7 = n5 % 191.14/27.62 (3) ~ (all_4_0 = all_4_3) % 191.14/27.62 (4) sum(n5, n5) = n10 % 191.14/27.62 (5) all_4_4 = n5 % 191.14/27.62 (6) sum(n8, all_4_1) = all_4_0 % 191.14/27.62 (7) all_4_1 = n2 % 191.14/27.62 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.62 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.62 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.62 % 191.14/27.62 Begin of proof % 191.14/27.62 | % 191.14/27.62 | REDUCE: (2), (5), (8) imply: % 191.14/27.62 | (10) sum(n5, n5) = all_4_3 % 191.14/27.62 | % 191.14/27.62 | REDUCE: (6), (7) imply: % 191.14/27.62 | (11) sum(n8, n2) = all_4_0 % 191.14/27.62 | % 191.14/27.62 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.62 | (4), (10) gives: % 191.14/27.62 | (12) all_4_3 = n10 % 191.14/27.62 | % 191.14/27.62 | GROUND_INST: instantiating (9) with n10, all_4_0, n2, n8, simplifying with % 191.14/27.62 | (1), (11) gives: % 191.14/27.62 | (13) all_4_0 = n10 % 191.14/27.62 | % 191.14/27.62 | REDUCE: (3), (12), (13) imply: % 191.14/27.62 | (14) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (14) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #48 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) all_4_7 = n6 % 191.14/27.63 (2) ~ (all_4_0 = all_4_3) % 191.14/27.63 (3) all_4_1 = n4 % 191.14/27.63 (4) sum(n6, n6) = n12 % 191.14/27.63 (5) sum(n8, all_4_1) = all_4_0 % 191.14/27.63 (6) sum(n8, n4) = n12 % 191.14/27.63 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.63 (8) all_4_4 = n6 % 191.14/27.63 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | REDUCE: (1), (7), (8) imply: % 191.14/27.63 | (10) sum(n6, n6) = all_4_3 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (5) imply: % 191.14/27.63 | (11) sum(n8, n4) = all_4_0 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.63 | (4), (10) gives: % 191.14/27.63 | (12) all_4_3 = n12 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n12, all_4_0, n4, n8, simplifying with % 191.14/27.63 | (6), (11) gives: % 191.14/27.63 | (13) all_4_0 = n12 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (2), (12), (13) imply: % 191.14/27.63 | (14) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (14) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #49 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) all_4_1 = n6 % 191.14/27.63 (2) sum(n7, n7) = n14 % 191.14/27.63 (3) all_4_7 = n7 % 191.14/27.63 (4) all_4_4 = n7 % 191.14/27.63 (5) ~ (all_4_0 = all_4_3) % 191.14/27.63 (6) sum(n8, n6) = n14 % 191.14/27.63 (7) sum(n8, all_4_1) = all_4_0 % 191.14/27.63 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.63 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (4), (8) imply: % 191.14/27.63 | (10) sum(n7, n7) = all_4_3 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (1), (7) imply: % 191.14/27.63 | (11) sum(n8, n6) = all_4_0 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.63 | (2), (10) gives: % 191.14/27.63 | (12) all_4_3 = n14 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n14, all_4_0, n6, n8, simplifying with % 191.14/27.63 | (6), (11) gives: % 191.14/27.63 | (13) all_4_0 = n14 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (5), (12), (13) imply: % 191.14/27.63 | (14) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (14) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #50 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) all_4_4 = n8 % 191.14/27.63 (2) all_4_1 = all_4_7 % 191.14/27.63 (3) ~ (all_4_0 = all_4_3) % 191.14/27.63 (4) sum(n8, n8) = n16 % 191.14/27.63 (5) sum(n8, all_4_1) = all_4_0 % 191.14/27.63 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.63 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 (8) all_4_1 = all_4_4 % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | COMBINE_EQS: (2), (8) imply: % 191.14/27.63 | (9) all_4_4 = all_4_7 % 191.14/27.63 | % 191.14/27.63 | SIMP: (9) implies: % 191.14/27.63 | (10) all_4_4 = all_4_7 % 191.14/27.63 | % 191.14/27.63 | COMBINE_EQS: (1), (10) imply: % 191.14/27.63 | (11) all_4_7 = n8 % 191.14/27.63 | % 191.14/27.63 | COMBINE_EQS: (2), (11) imply: % 191.14/27.63 | (12) all_4_1 = n8 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (1), (6), (11) imply: % 191.14/27.63 | (13) sum(n8, n8) = all_4_3 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (5), (12) imply: % 191.14/27.63 | (14) sum(n8, n8) = all_4_0 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (7) with n16, all_4_0, n8, n8, simplifying with % 191.14/27.63 | (4), (14) gives: % 191.14/27.63 | (15) all_4_0 = n16 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n8, n8, simplifying with % 191.14/27.63 | (13), (14) gives: % 191.14/27.63 | (16) all_4_0 = all_4_3 % 191.14/27.63 | % 191.14/27.63 | COMBINE_EQS: (15), (16) imply: % 191.14/27.63 | (17) all_4_3 = n16 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (15), (17) imply: % 191.14/27.63 | (18) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (18) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #51 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) ~ (all_4_0 = all_4_3) % 191.14/27.63 (2) sum(n18, n18) = n10 % 191.14/27.63 (3) sum(n0, n10) = all_4_0 % 191.14/27.63 (4) sum(n18, n18) = all_4_3 % 191.14/27.63 (5) sum(n0, n10) = n10 % 191.14/27.63 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n10, all_4_0, n10, n0, simplifying with % 191.14/27.63 | (3), (5) gives: % 191.14/27.63 | (7) all_4_0 = n10 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n10, all_4_3, n18, n18, simplifying with % 191.14/27.63 | (2), (4) gives: % 191.14/27.63 | (8) all_4_3 = n10 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (1), (7), (8) imply: % 191.14/27.63 | (9) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (9) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #52 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) sum(n2, n10) = all_4_0 % 191.14/27.63 (2) sum(n19, n19) = all_4_3 % 191.14/27.63 (3) ~ (all_4_0 = all_4_3) % 191.14/27.63 (4) sum(n19, n19) = n12 % 191.14/27.63 (5) sum(n2, n10) = n12 % 191.14/27.63 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n12, all_4_0, n10, n2, simplifying with % 191.14/27.63 | (1), (5) gives: % 191.14/27.63 | (7) all_4_0 = n12 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.63 | (2), (4) gives: % 191.14/27.63 | (8) all_4_3 = n12 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (7), (8) imply: % 191.14/27.63 | (9) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (9) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #53 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) sum(n4, n10) = n14 % 191.14/27.63 (2) sum(n20, n20) = all_4_3 % 191.14/27.63 (3) ~ (all_4_0 = all_4_3) % 191.14/27.63 (4) sum(n4, n10) = all_4_0 % 191.14/27.63 (5) sum(n20, n20) = n14 % 191.14/27.63 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n14, all_4_0, n10, n4, simplifying with % 191.14/27.63 | (1), (4) gives: % 191.14/27.63 | (7) all_4_0 = n14 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.63 | (2), (5) gives: % 191.14/27.63 | (8) all_4_3 = n14 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (7), (8) imply: % 191.14/27.63 | (9) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (9) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #54 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) sum(n6, n10) = n16 % 191.14/27.63 (2) ~ (all_4_0 = all_4_3) % 191.14/27.63 (3) sum(n6, n10) = all_4_0 % 191.14/27.63 (4) sum(n21, n21) = n16 % 191.14/27.63 (5) sum(n21, n21) = all_4_3 % 191.14/27.63 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n16, all_4_0, n10, n6, simplifying with % 191.14/27.63 | (1), (3) gives: % 191.14/27.63 | (7) all_4_0 = n16 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.63 | (4), (5) gives: % 191.14/27.63 | (8) all_4_3 = n16 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (2), (7), (8) imply: % 191.14/27.63 | (9) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (9) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #55 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) sum(n8, n10) = n18 % 191.14/27.63 (2) sum(n22, n22) = all_4_3 % 191.14/27.63 (3) ~ (all_4_0 = all_4_3) % 191.14/27.63 (4) sum(n22, n22) = n18 % 191.14/27.63 (5) sum(n8, n10) = all_4_0 % 191.14/27.63 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n18, all_4_0, n10, n8, simplifying with % 191.14/27.63 | (1), (5) gives: % 191.14/27.63 | (7) all_4_0 = n18 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.63 | (2), (4) gives: % 191.14/27.63 | (8) all_4_3 = n18 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (7), (8) imply: % 191.14/27.63 | (9) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (9) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #56 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) all_4_2 = n0 % 191.14/27.63 (2) all_4_7 = n5 % 191.14/27.63 (3) ~ (all_4_0 = all_4_3) % 191.14/27.63 (4) sum(all_4_2, n10) = all_4_0 % 191.14/27.63 (5) sum(n5, n5) = n10 % 191.14/27.63 (6) all_4_4 = n5 % 191.14/27.63 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.63 (8) sum(n0, n10) = n10 % 191.14/27.63 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | REDUCE: (1), (4) imply: % 191.14/27.63 | (10) sum(n0, n10) = all_4_0 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (2), (6), (7) imply: % 191.14/27.63 | (11) sum(n5, n5) = all_4_3 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n10, all_4_0, n10, n0, simplifying with % 191.14/27.63 | (8), (10) gives: % 191.14/27.63 | (12) all_4_0 = n10 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.63 | (5), (11) gives: % 191.14/27.63 | (13) all_4_3 = n10 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (12), (13) imply: % 191.14/27.63 | (14) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (14) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #57 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) all_4_2 = n2 % 191.14/27.63 (2) all_4_7 = n6 % 191.14/27.63 (3) ~ (all_4_0 = all_4_3) % 191.14/27.63 (4) sum(all_4_2, n10) = all_4_0 % 191.14/27.63 (5) sum(n6, n6) = n12 % 191.14/27.63 (6) sum(n2, n10) = n12 % 191.14/27.63 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.63 (8) all_4_4 = n6 % 191.14/27.63 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.63 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.63 % 191.14/27.63 Begin of proof % 191.14/27.63 | % 191.14/27.63 | REDUCE: (1), (4) imply: % 191.14/27.63 | (10) sum(n2, n10) = all_4_0 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (2), (7), (8) imply: % 191.14/27.63 | (11) sum(n6, n6) = all_4_3 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n12, all_4_0, n10, n2, simplifying with % 191.14/27.63 | (6), (10) gives: % 191.14/27.63 | (12) all_4_0 = n12 % 191.14/27.63 | % 191.14/27.63 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.63 | (5), (11) gives: % 191.14/27.63 | (13) all_4_3 = n12 % 191.14/27.63 | % 191.14/27.63 | REDUCE: (3), (12), (13) imply: % 191.14/27.63 | (14) $false % 191.14/27.63 | % 191.14/27.63 | CLOSE: (14) is inconsistent. % 191.14/27.63 | % 191.14/27.63 End of proof % 191.14/27.63 % 191.14/27.63 Sub-proof #58 shows that the following formulas are inconsistent: % 191.14/27.63 ---------------------------------------------------------------- % 191.14/27.63 (1) sum(n7, n7) = n14 % 191.14/27.63 (2) all_4_7 = n7 % 191.14/27.63 (3) sum(n4, n10) = n14 % 191.14/27.63 (4) all_4_4 = n7 % 191.14/27.63 (5) ~ (all_4_0 = all_4_3) % 191.14/27.63 (6) sum(all_4_2, n10) = all_4_0 % 191.14/27.63 (7) all_4_2 = n4 % 191.14/27.63 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (6), (7) imply: % 191.14/27.64 | (10) sum(n4, n10) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (4), (8) imply: % 191.14/27.64 | (11) sum(n7, n7) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n14, all_4_0, n10, n4, simplifying with % 191.14/27.64 | (3), (10) gives: % 191.14/27.64 | (12) all_4_0 = n14 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.64 | (1), (11) gives: % 191.14/27.64 | (13) all_4_3 = n14 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (5), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (14) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #59 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n6, n10) = n16 % 191.14/27.64 (2) all_4_4 = n8 % 191.14/27.64 (3) ~ (all_4_0 = all_4_3) % 191.14/27.64 (4) sum(all_4_2, n10) = all_4_0 % 191.14/27.64 (5) sum(n8, n8) = n16 % 191.14/27.64 (6) all_4_7 = n8 % 191.14/27.64 (7) all_4_2 = n6 % 191.14/27.64 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (4), (7) imply: % 191.14/27.64 | (10) sum(n6, n10) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (6), (8) imply: % 191.14/27.64 | (11) sum(n8, n8) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n16, all_4_0, n10, n6, simplifying with % 191.14/27.64 | (1), (10) gives: % 191.14/27.64 | (12) all_4_0 = n16 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.64 | (5), (11) gives: % 191.14/27.64 | (13) all_4_3 = n16 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (3), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (14) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #60 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n8, n10) = n18 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(all_4_2, n10) = all_4_0 % 191.14/27.64 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (5) sum(n9, n9) = n18 % 191.14/27.64 (6) all_4_2 = n8 % 191.14/27.64 (7) all_4_7 = n9 % 191.14/27.64 (8) all_4_4 = n9 % 191.14/27.64 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (3), (6) imply: % 191.14/27.64 | (10) sum(n8, n10) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (4), (7), (8) imply: % 191.14/27.64 | (11) sum(n9, n9) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n18, all_4_0, n10, n8, simplifying with % 191.14/27.64 | (1), (10) gives: % 191.14/27.64 | (12) all_4_0 = n18 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.64 | (5), (11) gives: % 191.14/27.64 | (13) all_4_3 = n18 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (14) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #61 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n10, n0) = n10 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(n18, n18) = n10 % 191.14/27.64 (4) sum(n10, n0) = all_4_0 % 191.14/27.64 (5) sum(n18, n18) = all_4_3 % 191.14/27.64 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n10, all_4_0, n0, n10, simplifying with % 191.14/27.64 | (1), (4) gives: % 191.14/27.64 | (7) all_4_0 = n10 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n10, all_4_3, n18, n18, simplifying with % 191.14/27.64 | (3), (5) gives: % 191.14/27.64 | (8) all_4_3 = n10 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (7), (8) imply: % 191.14/27.64 | (9) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (9) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #62 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n19, n19) = all_4_3 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(n19, n19) = n12 % 191.14/27.64 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 (5) sum(n10, n2) = all_4_0 % 191.14/27.64 (6) sum(n10, n2) = n12 % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (4) with n12, all_4_0, n2, n10, simplifying with % 191.14/27.64 | (5), (6) gives: % 191.14/27.64 | (7) all_4_0 = n12 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (4) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.64 | (1), (3) gives: % 191.14/27.64 | (8) all_4_3 = n12 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (7), (8) imply: % 191.14/27.64 | (9) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (9) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #63 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n20, n20) = all_4_3 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(n10, n4) = n14 % 191.14/27.64 (4) sum(n20, n20) = n14 % 191.14/27.64 (5) sum(n10, n4) = all_4_0 % 191.14/27.64 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n14, all_4_0, n4, n10, simplifying with % 191.14/27.64 | (3), (5) gives: % 191.14/27.64 | (7) all_4_0 = n14 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.64 | (1), (4) gives: % 191.14/27.64 | (8) all_4_3 = n14 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (7), (8) imply: % 191.14/27.64 | (9) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (9) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #64 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n10, n6) = all_4_0 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(n10, n6) = n16 % 191.14/27.64 (4) sum(n21, n21) = n16 % 191.14/27.64 (5) sum(n21, n21) = all_4_3 % 191.14/27.64 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n16, all_4_0, n6, n10, simplifying with % 191.14/27.64 | (1), (3) gives: % 191.14/27.64 | (7) all_4_0 = n16 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.64 | (4), (5) gives: % 191.14/27.64 | (8) all_4_3 = n16 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (7), (8) imply: % 191.14/27.64 | (9) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (9) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #65 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n22, n22) = all_4_3 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(n22, n22) = n18 % 191.14/27.64 (4) sum(n10, n8) = all_4_0 % 191.14/27.64 (5) sum(n10, n8) = n18 % 191.14/27.64 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n18, all_4_0, n8, n10, simplifying with % 191.14/27.64 | (4), (5) gives: % 191.14/27.64 | (7) all_4_0 = n18 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.64 | (1), (3) gives: % 191.14/27.64 | (8) all_4_3 = n18 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (7), (8) imply: % 191.14/27.64 | (9) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (9) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #66 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n10, n10) = all_4_0 % 191.14/27.64 (2) sum(n10, n10) = n20 % 191.14/27.64 (3) ~ (all_4_0 = all_4_3) % 191.14/27.64 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 (5) sum(n23, n23) = all_4_3 % 191.14/27.64 (6) sum(n23, n23) = n20 % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (4) with n20, all_4_0, n10, n10, simplifying with % 191.14/27.64 | (1), (2) gives: % 191.14/27.64 | (7) all_4_0 = n20 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.64 | (5), (6) gives: % 191.14/27.64 | (8) all_4_3 = n20 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (3), (7), (8) imply: % 191.14/27.64 | (9) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (9) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #67 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n10, n0) = n10 % 191.14/27.64 (2) all_4_7 = n5 % 191.14/27.64 (3) ~ (all_4_0 = all_4_3) % 191.14/27.64 (4) sum(n10, all_4_1) = all_4_0 % 191.14/27.64 (5) sum(n5, n5) = n10 % 191.14/27.64 (6) all_4_4 = n5 % 191.14/27.64 (7) all_4_1 = n0 % 191.14/27.64 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (6), (8) imply: % 191.14/27.64 | (10) sum(n5, n5) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (4), (7) imply: % 191.14/27.64 | (11) sum(n10, n0) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.64 | (5), (10) gives: % 191.14/27.64 | (12) all_4_3 = n10 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n10, all_4_0, n0, n10, simplifying with % 191.14/27.64 | (1), (11) gives: % 191.14/27.64 | (13) all_4_0 = n10 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (3), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (14) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #68 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) all_4_7 = n6 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(n10, all_4_1) = all_4_0 % 191.14/27.64 (4) sum(n6, n6) = n12 % 191.14/27.64 (5) all_4_1 = n2 % 191.14/27.64 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (7) all_4_4 = n6 % 191.14/27.64 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 (9) sum(n10, n2) = n12 % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (1), (6), (7) imply: % 191.14/27.64 | (10) sum(n6, n6) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (3), (5) imply: % 191.14/27.64 | (11) sum(n10, n2) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (8) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.64 | (4), (10) gives: % 191.14/27.64 | (12) all_4_3 = n12 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (8) with n12, all_4_0, n2, n10, simplifying with % 191.14/27.64 | (9), (11) gives: % 191.14/27.64 | (13) all_4_0 = n12 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (14) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #69 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) sum(n7, n7) = n14 % 191.14/27.64 (2) all_4_7 = n7 % 191.14/27.64 (3) all_4_4 = n7 % 191.14/27.64 (4) ~ (all_4_0 = all_4_3) % 191.14/27.64 (5) sum(n10, all_4_1) = all_4_0 % 191.14/27.64 (6) all_4_1 = n4 % 191.14/27.64 (7) sum(n10, n4) = n14 % 191.14/27.64 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (3), (8) imply: % 191.14/27.64 | (10) sum(n7, n7) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (5), (6) imply: % 191.14/27.64 | (11) sum(n10, n4) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.64 | (1), (10) gives: % 191.14/27.64 | (12) all_4_3 = n14 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n14, all_4_0, n4, n10, simplifying with % 191.14/27.64 | (7), (11) gives: % 191.14/27.64 | (13) all_4_0 = n14 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (4), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (14) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #70 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) all_4_1 = n6 % 191.14/27.64 (2) all_4_4 = n8 % 191.14/27.64 (3) ~ (all_4_0 = all_4_3) % 191.14/27.64 (4) sum(n10, all_4_1) = all_4_0 % 191.14/27.64 (5) sum(n8, n8) = n16 % 191.14/27.64 (6) sum(n10, n6) = n16 % 191.14/27.64 (7) all_4_7 = n8 % 191.14/27.64 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (7), (8) imply: % 191.14/27.64 | (10) sum(n8, n8) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (1), (4) imply: % 191.14/27.64 | (11) sum(n10, n6) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.64 | (5), (10) gives: % 191.14/27.64 | (12) all_4_3 = n16 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n16, all_4_0, n6, n10, simplifying with % 191.14/27.64 | (6), (11) gives: % 191.14/27.64 | (13) all_4_0 = n16 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (3), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.64 | % 191.14/27.64 | CLOSE: (14) is inconsistent. % 191.14/27.64 | % 191.14/27.64 End of proof % 191.14/27.64 % 191.14/27.64 Sub-proof #71 shows that the following formulas are inconsistent: % 191.14/27.64 ---------------------------------------------------------------- % 191.14/27.64 (1) all_4_1 = n8 % 191.14/27.64 (2) ~ (all_4_0 = all_4_3) % 191.14/27.64 (3) sum(n10, all_4_1) = all_4_0 % 191.14/27.64 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.64 (5) sum(n9, n9) = n18 % 191.14/27.64 (6) all_4_7 = n9 % 191.14/27.64 (7) sum(n10, n8) = n18 % 191.14/27.64 (8) all_4_4 = n9 % 191.14/27.64 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.64 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.64 % 191.14/27.64 Begin of proof % 191.14/27.64 | % 191.14/27.64 | REDUCE: (4), (6), (8) imply: % 191.14/27.64 | (10) sum(n9, n9) = all_4_3 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (1), (3) imply: % 191.14/27.64 | (11) sum(n10, n8) = all_4_0 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.64 | (5), (10) gives: % 191.14/27.64 | (12) all_4_3 = n18 % 191.14/27.64 | % 191.14/27.64 | GROUND_INST: instantiating (9) with n18, all_4_0, n8, n10, simplifying with % 191.14/27.64 | (7), (11) gives: % 191.14/27.64 | (13) all_4_0 = n18 % 191.14/27.64 | % 191.14/27.64 | REDUCE: (2), (12), (13) imply: % 191.14/27.64 | (14) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (14) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #72 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) all_4_1 = all_4_7 % 191.14/27.65 (2) sum(n10, n10) = n20 % 191.14/27.65 (3) ~ (all_4_0 = all_4_3) % 191.14/27.65 (4) sum(n10, all_4_1) = all_4_0 % 191.14/27.65 (5) all_4_4 = n10 % 191.14/27.65 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.65 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 (8) all_4_1 = all_4_4 % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | COMBINE_EQS: (1), (8) imply: % 191.14/27.65 | (9) all_4_4 = all_4_7 % 191.14/27.65 | % 191.14/27.65 | SIMP: (9) implies: % 191.14/27.65 | (10) all_4_4 = all_4_7 % 191.14/27.65 | % 191.14/27.65 | COMBINE_EQS: (5), (10) imply: % 191.14/27.65 | (11) all_4_7 = n10 % 191.14/27.65 | % 191.14/27.65 | COMBINE_EQS: (1), (11) imply: % 191.14/27.65 | (12) all_4_1 = n10 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (5), (6), (11) imply: % 191.14/27.65 | (13) sum(n10, n10) = all_4_3 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (4), (12) imply: % 191.14/27.65 | (14) sum(n10, n10) = all_4_0 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (7) with n20, all_4_0, n10, n10, simplifying with % 191.14/27.65 | (2), (14) gives: % 191.14/27.65 | (15) all_4_0 = n20 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n10, n10, simplifying % 191.14/27.65 | with (13), (14) gives: % 191.14/27.65 | (16) all_4_0 = all_4_3 % 191.14/27.65 | % 191.14/27.65 | COMBINE_EQS: (15), (16) imply: % 191.14/27.65 | (17) all_4_3 = n20 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (15), (17) imply: % 191.14/27.65 | (18) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (18) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #73 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n19, n19) = all_4_3 % 191.14/27.65 (2) ~ (all_4_0 = all_4_3) % 191.14/27.65 (3) sum(n0, n12) = n12 % 191.14/27.65 (4) sum(n19, n19) = n12 % 191.14/27.65 (5) sum(n0, n12) = all_4_0 % 191.14/27.65 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n12, all_4_0, n12, n0, simplifying with % 191.14/27.65 | (3), (5) gives: % 191.14/27.65 | (7) all_4_0 = n12 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.65 | (1), (4) gives: % 191.14/27.65 | (8) all_4_3 = n12 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (2), (7), (8) imply: % 191.14/27.65 | (9) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (9) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #74 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n2, n12) = all_4_0 % 191.14/27.65 (2) sum(n20, n20) = all_4_3 % 191.14/27.65 (3) ~ (all_4_0 = all_4_3) % 191.14/27.65 (4) sum(n2, n12) = n14 % 191.14/27.65 (5) sum(n20, n20) = n14 % 191.14/27.65 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n14, all_4_0, n12, n2, simplifying with % 191.14/27.65 | (1), (4) gives: % 191.14/27.65 | (7) all_4_0 = n14 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.65 | (2), (5) gives: % 191.14/27.65 | (8) all_4_3 = n14 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (7), (8) imply: % 191.14/27.65 | (9) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (9) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #75 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) ~ (all_4_0 = all_4_3) % 191.14/27.65 (2) sum(n4, n12) = all_4_0 % 191.14/27.65 (3) sum(n21, n21) = n16 % 191.14/27.65 (4) sum(n21, n21) = all_4_3 % 191.14/27.65 (5) sum(n4, n12) = n16 % 191.14/27.65 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n16, all_4_0, n12, n4, simplifying with % 191.14/27.65 | (2), (5) gives: % 191.14/27.65 | (7) all_4_0 = n16 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.65 | (3), (4) gives: % 191.14/27.65 | (8) all_4_3 = n16 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (1), (7), (8) imply: % 191.14/27.65 | (9) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (9) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #76 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n6, n12) = n18 % 191.14/27.65 (2) sum(n22, n22) = all_4_3 % 191.14/27.65 (3) ~ (all_4_0 = all_4_3) % 191.14/27.65 (4) sum(n22, n22) = n18 % 191.14/27.65 (5) sum(n6, n12) = all_4_0 % 191.14/27.65 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n18, all_4_0, n12, n6, simplifying with % 191.14/27.65 | (1), (5) gives: % 191.14/27.65 | (7) all_4_0 = n18 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.65 | (2), (4) gives: % 191.14/27.65 | (8) all_4_3 = n18 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (7), (8) imply: % 191.14/27.65 | (9) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (9) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #77 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) ~ (all_4_0 = all_4_3) % 191.14/27.65 (2) sum(n8, n12) = all_4_0 % 191.14/27.65 (3) sum(n8, n12) = n20 % 191.14/27.65 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 (5) sum(n23, n23) = all_4_3 % 191.14/27.65 (6) sum(n23, n23) = n20 % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (4) with n20, all_4_0, n12, n8, simplifying with % 191.14/27.65 | (2), (3) gives: % 191.14/27.65 | (7) all_4_0 = n20 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.65 | (5), (6) gives: % 191.14/27.65 | (8) all_4_3 = n20 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (1), (7), (8) imply: % 191.14/27.65 | (9) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (9) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #78 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n10, n12) = all_4_0 % 191.14/27.65 (2) sum(n10, n12) = n22 % 191.14/27.65 (3) ~ (all_4_0 = all_4_3) % 191.14/27.65 (4) sum(n24, n24) = n22 % 191.14/27.65 (5) sum(n24, n24) = all_4_3 % 191.14/27.65 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n22, all_4_0, n12, n10, simplifying with % 191.14/27.65 | (1), (2) gives: % 191.14/27.65 | (7) all_4_0 = n22 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.65 | (4), (5) gives: % 191.14/27.65 | (8) all_4_3 = n22 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (7), (8) imply: % 191.14/27.65 | (9) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (9) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #79 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) all_4_2 = n0 % 191.14/27.65 (2) all_4_7 = n6 % 191.14/27.65 (3) ~ (all_4_0 = all_4_3) % 191.14/27.65 (4) sum(n0, n12) = n12 % 191.14/27.65 (5) sum(n6, n6) = n12 % 191.14/27.65 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.65 (7) sum(all_4_2, n12) = all_4_0 % 191.14/27.65 (8) all_4_4 = n6 % 191.14/27.65 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | REDUCE: (1), (7) imply: % 191.14/27.65 | (10) sum(n0, n12) = all_4_0 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (2), (6), (8) imply: % 191.14/27.65 | (11) sum(n6, n6) = all_4_3 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n12, all_4_0, n12, n0, simplifying with % 191.14/27.65 | (4), (10) gives: % 191.14/27.65 | (12) all_4_0 = n12 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.65 | (5), (11) gives: % 191.14/27.65 | (13) all_4_3 = n12 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (12), (13) imply: % 191.14/27.65 | (14) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (14) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #80 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n7, n7) = n14 % 191.14/27.65 (2) all_4_7 = n7 % 191.14/27.65 (3) all_4_2 = n2 % 191.14/27.65 (4) all_4_4 = n7 % 191.14/27.65 (5) ~ (all_4_0 = all_4_3) % 191.14/27.65 (6) sum(n2, n12) = n14 % 191.14/27.65 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.65 (8) sum(all_4_2, n12) = all_4_0 % 191.14/27.65 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (8) imply: % 191.14/27.65 | (10) sum(n2, n12) = all_4_0 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (2), (4), (7) imply: % 191.14/27.65 | (11) sum(n7, n7) = all_4_3 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n14, all_4_0, n12, n2, simplifying with % 191.14/27.65 | (6), (10) gives: % 191.14/27.65 | (12) all_4_0 = n14 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.65 | (1), (11) gives: % 191.14/27.65 | (13) all_4_3 = n14 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (5), (12), (13) imply: % 191.14/27.65 | (14) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (14) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #81 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) all_4_4 = n8 % 191.14/27.65 (2) ~ (all_4_0 = all_4_3) % 191.14/27.65 (3) sum(n8, n8) = n16 % 191.14/27.65 (4) all_4_7 = n8 % 191.14/27.65 (5) all_4_2 = n4 % 191.14/27.65 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.65 (7) sum(all_4_2, n12) = all_4_0 % 191.14/27.65 (8) sum(n4, n12) = n16 % 191.14/27.65 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | REDUCE: (5), (7) imply: % 191.14/27.65 | (10) sum(n4, n12) = all_4_0 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (1), (4), (6) imply: % 191.14/27.65 | (11) sum(n8, n8) = all_4_3 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n16, all_4_0, n12, n4, simplifying with % 191.14/27.65 | (8), (10) gives: % 191.14/27.65 | (12) all_4_0 = n16 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.65 | (3), (11) gives: % 191.14/27.65 | (13) all_4_3 = n16 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (2), (12), (13) imply: % 191.14/27.65 | (14) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (14) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #82 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n6, n12) = n18 % 191.14/27.65 (2) ~ (all_4_0 = all_4_3) % 191.14/27.65 (3) all_4_2 = n6 % 191.14/27.65 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.65 (5) sum(n9, n9) = n18 % 191.14/27.65 (6) sum(all_4_2, n12) = all_4_0 % 191.14/27.65 (7) all_4_7 = n9 % 191.14/27.65 (8) all_4_4 = n9 % 191.14/27.65 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (6) imply: % 191.14/27.65 | (10) sum(n6, n12) = all_4_0 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (4), (7), (8) imply: % 191.14/27.65 | (11) sum(n9, n9) = all_4_3 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n18, all_4_0, n12, n6, simplifying with % 191.14/27.65 | (1), (10) gives: % 191.14/27.65 | (12) all_4_0 = n18 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.65 | (5), (11) gives: % 191.14/27.65 | (13) all_4_3 = n18 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (2), (12), (13) imply: % 191.14/27.65 | (14) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (14) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #83 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n10, n10) = n20 % 191.14/27.65 (2) ~ (all_4_0 = all_4_3) % 191.14/27.65 (3) all_4_4 = n10 % 191.14/27.65 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.65 (5) all_4_2 = n8 % 191.14/27.65 (6) sum(all_4_2, n12) = all_4_0 % 191.14/27.65 (7) sum(n8, n12) = n20 % 191.14/27.65 (8) all_4_7 = n10 % 191.14/27.65 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | REDUCE: (5), (6) imply: % 191.14/27.65 | (10) sum(n8, n12) = all_4_0 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (4), (8) imply: % 191.14/27.65 | (11) sum(n10, n10) = all_4_3 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n20, all_4_0, n12, n8, simplifying with % 191.14/27.65 | (7), (10) gives: % 191.14/27.65 | (12) all_4_0 = n20 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.65 | (1), (11) gives: % 191.14/27.65 | (13) all_4_3 = n20 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (2), (12), (13) imply: % 191.14/27.65 | (14) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (14) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #84 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) all_4_2 = n10 % 191.14/27.65 (2) sum(n10, n12) = n22 % 191.14/27.65 (3) ~ (all_4_0 = all_4_3) % 191.14/27.65 (4) sum(n11, n11) = n22 % 191.14/27.65 (5) all_4_4 = n11 % 191.14/27.65 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.65 (7) sum(all_4_2, n12) = all_4_0 % 191.14/27.65 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 (9) all_4_7 = n11 % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | REDUCE: (1), (7) imply: % 191.14/27.65 | (10) sum(n10, n12) = all_4_0 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (5), (6), (9) imply: % 191.14/27.65 | (11) sum(n11, n11) = all_4_3 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (8) with n22, all_4_0, n12, n10, simplifying with % 191.14/27.65 | (2), (10) gives: % 191.14/27.65 | (12) all_4_0 = n22 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.65 | (4), (11) gives: % 191.14/27.65 | (13) all_4_3 = n22 % 191.14/27.65 | % 191.14/27.65 | REDUCE: (3), (12), (13) imply: % 191.14/27.65 | (14) $false % 191.14/27.65 | % 191.14/27.65 | CLOSE: (14) is inconsistent. % 191.14/27.65 | % 191.14/27.65 End of proof % 191.14/27.65 % 191.14/27.65 Sub-proof #85 shows that the following formulas are inconsistent: % 191.14/27.65 ---------------------------------------------------------------- % 191.14/27.65 (1) sum(n19, n19) = all_4_3 % 191.14/27.65 (2) ~ (all_4_0 = all_4_3) % 191.14/27.65 (3) sum(n12, n0) = n12 % 191.14/27.65 (4) sum(n19, n19) = n12 % 191.14/27.65 (5) sum(n12, n0) = all_4_0 % 191.14/27.65 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.65 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.65 % 191.14/27.65 Begin of proof % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n12, all_4_0, n0, n12, simplifying with % 191.14/27.65 | (3), (5) gives: % 191.14/27.65 | (7) all_4_0 = n12 % 191.14/27.65 | % 191.14/27.65 | GROUND_INST: instantiating (6) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.65 | (1), (4) gives: % 191.14/27.66 | (8) all_4_3 = n12 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (7), (8) imply: % 191.14/27.66 | (9) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (9) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #86 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) sum(n12, n2) = n14 % 191.14/27.66 (2) sum(n20, n20) = all_4_3 % 191.14/27.66 (3) ~ (all_4_0 = all_4_3) % 191.14/27.66 (4) sum(n12, n2) = all_4_0 % 191.14/27.66 (5) sum(n20, n20) = n14 % 191.14/27.66 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n14, all_4_0, n2, n12, simplifying with % 191.14/27.66 | (1), (4) gives: % 191.14/27.66 | (7) all_4_0 = n14 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.66 | (2), (5) gives: % 191.14/27.66 | (8) all_4_3 = n14 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (3), (7), (8) imply: % 191.14/27.66 | (9) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (9) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #87 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) sum(n12, n4) = n16 % 191.14/27.66 (2) ~ (all_4_0 = all_4_3) % 191.14/27.66 (3) sum(n12, n4) = all_4_0 % 191.14/27.66 (4) sum(n21, n21) = n16 % 191.14/27.66 (5) sum(n21, n21) = all_4_3 % 191.14/27.66 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n16, all_4_0, n4, n12, simplifying with % 191.14/27.66 | (1), (3) gives: % 191.14/27.66 | (7) all_4_0 = n16 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.66 | (4), (5) gives: % 191.14/27.66 | (8) all_4_3 = n16 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (7), (8) imply: % 191.14/27.66 | (9) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (9) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #88 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) sum(n22, n22) = all_4_3 % 191.14/27.66 (2) ~ (all_4_0 = all_4_3) % 191.14/27.66 (3) sum(n12, n6) = n18 % 191.14/27.66 (4) sum(n22, n22) = n18 % 191.14/27.66 (5) sum(n12, n6) = all_4_0 % 191.14/27.66 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n18, all_4_0, n6, n12, simplifying with % 191.14/27.66 | (3), (5) gives: % 191.14/27.66 | (7) all_4_0 = n18 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.66 | (1), (4) gives: % 191.14/27.66 | (8) all_4_3 = n18 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (7), (8) imply: % 191.14/27.66 | (9) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (9) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #89 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) ~ (all_4_0 = all_4_3) % 191.14/27.66 (2) sum(n12, n8) = n20 % 191.14/27.66 (3) sum(n12, n8) = all_4_0 % 191.14/27.66 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 (5) sum(n23, n23) = all_4_3 % 191.14/27.66 (6) sum(n23, n23) = n20 % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (4) with n20, all_4_0, n8, n12, simplifying with % 191.14/27.66 | (2), (3) gives: % 191.14/27.66 | (7) all_4_0 = n20 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.66 | (5), (6) gives: % 191.14/27.66 | (8) all_4_3 = n20 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (1), (7), (8) imply: % 191.14/27.66 | (9) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (9) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #90 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) ~ (all_4_0 = all_4_3) % 191.14/27.66 (2) sum(n12, n10) = all_4_0 % 191.14/27.66 (3) sum(n24, n24) = n22 % 191.14/27.66 (4) sum(n12, n10) = n22 % 191.14/27.66 (5) sum(n24, n24) = all_4_3 % 191.14/27.66 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n22, all_4_0, n10, n12, simplifying with % 191.14/27.66 | (2), (4) gives: % 191.14/27.66 | (7) all_4_0 = n22 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.66 | (3), (5) gives: % 191.14/27.66 | (8) all_4_3 = n22 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (1), (7), (8) imply: % 191.14/27.66 | (9) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (9) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #91 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) sum(n25, n25) = n24 % 191.14/27.66 (2) sum(n25, n25) = all_4_3 % 191.14/27.66 (3) sum(n12, n12) = all_4_0 % 191.14/27.66 (4) ~ (all_4_0 = all_4_3) % 191.14/27.66 (5) sum(n12, n12) = n24 % 191.14/27.66 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n24, all_4_0, n12, n12, simplifying with % 191.14/27.66 | (3), (5) gives: % 191.14/27.66 | (7) all_4_0 = n24 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.66 | (1), (2) gives: % 191.14/27.66 | (8) all_4_3 = n24 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (4), (7), (8) imply: % 191.14/27.66 | (9) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (9) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #92 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) all_4_7 = n6 % 191.14/27.66 (2) ~ (all_4_0 = all_4_3) % 191.14/27.66 (3) sum(n6, n6) = n12 % 191.14/27.66 (4) sum(n12, n0) = n12 % 191.14/27.66 (5) all_4_1 = n0 % 191.14/27.66 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.66 (7) all_4_4 = n6 % 191.14/27.66 (8) sum(n12, all_4_1) = all_4_0 % 191.14/27.66 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | REDUCE: (1), (6), (7) imply: % 191.14/27.66 | (10) sum(n6, n6) = all_4_3 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (5), (8) imply: % 191.14/27.66 | (11) sum(n12, n0) = all_4_0 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.66 | (3), (10) gives: % 191.14/27.66 | (12) all_4_3 = n12 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n12, all_4_0, n0, n12, simplifying with % 191.14/27.66 | (4), (11) gives: % 191.14/27.66 | (13) all_4_0 = n12 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (12), (13) imply: % 191.14/27.66 | (14) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (14) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #93 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) sum(n12, n2) = n14 % 191.14/27.66 (2) sum(n7, n7) = n14 % 191.14/27.66 (3) all_4_7 = n7 % 191.14/27.66 (4) all_4_4 = n7 % 191.14/27.66 (5) ~ (all_4_0 = all_4_3) % 191.14/27.66 (6) all_4_1 = n2 % 191.14/27.66 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.66 (8) sum(n12, all_4_1) = all_4_0 % 191.14/27.66 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | REDUCE: (3), (4), (7) imply: % 191.14/27.66 | (10) sum(n7, n7) = all_4_3 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (6), (8) imply: % 191.14/27.66 | (11) sum(n12, n2) = all_4_0 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.66 | (2), (10) gives: % 191.14/27.66 | (12) all_4_3 = n14 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n14, all_4_0, n2, n12, simplifying with % 191.14/27.66 | (1), (11) gives: % 191.14/27.66 | (13) all_4_0 = n14 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (5), (12), (13) imply: % 191.14/27.66 | (14) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (14) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #94 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) sum(n12, n4) = n16 % 191.14/27.66 (2) all_4_4 = n8 % 191.14/27.66 (3) ~ (all_4_0 = all_4_3) % 191.14/27.66 (4) all_4_1 = n4 % 191.14/27.66 (5) sum(n8, n8) = n16 % 191.14/27.66 (6) all_4_7 = n8 % 191.14/27.66 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.66 (8) sum(n12, all_4_1) = all_4_0 % 191.14/27.66 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (6), (7) imply: % 191.14/27.66 | (10) sum(n8, n8) = all_4_3 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (4), (8) imply: % 191.14/27.66 | (11) sum(n12, n4) = all_4_0 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.66 | (5), (10) gives: % 191.14/27.66 | (12) all_4_3 = n16 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n16, all_4_0, n4, n12, simplifying with % 191.14/27.66 | (1), (11) gives: % 191.14/27.66 | (13) all_4_0 = n16 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (3), (12), (13) imply: % 191.14/27.66 | (14) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (14) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #95 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) all_4_1 = n6 % 191.14/27.66 (2) ~ (all_4_0 = all_4_3) % 191.14/27.66 (3) sum(n12, n6) = n18 % 191.14/27.66 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.66 (5) sum(n9, n9) = n18 % 191.14/27.66 (6) all_4_7 = n9 % 191.14/27.66 (7) sum(n12, all_4_1) = all_4_0 % 191.14/27.66 (8) all_4_4 = n9 % 191.14/27.66 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | REDUCE: (4), (6), (8) imply: % 191.14/27.66 | (10) sum(n9, n9) = all_4_3 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (1), (7) imply: % 191.14/27.66 | (11) sum(n12, n6) = all_4_0 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.66 | (5), (10) gives: % 191.14/27.66 | (12) all_4_3 = n18 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n18, all_4_0, n6, n12, simplifying with % 191.14/27.66 | (3), (11) gives: % 191.14/27.66 | (13) all_4_0 = n18 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (12), (13) imply: % 191.14/27.66 | (14) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (14) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #96 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) all_4_1 = n8 % 191.14/27.66 (2) sum(n10, n10) = n20 % 191.14/27.66 (3) ~ (all_4_0 = all_4_3) % 191.14/27.66 (4) sum(n12, n8) = n20 % 191.14/27.66 (5) all_4_4 = n10 % 191.14/27.66 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.66 (7) sum(n12, all_4_1) = all_4_0 % 191.14/27.66 (8) all_4_7 = n10 % 191.14/27.66 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | REDUCE: (5), (6), (8) imply: % 191.14/27.66 | (10) sum(n10, n10) = all_4_3 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (1), (7) imply: % 191.14/27.66 | (11) sum(n12, n8) = all_4_0 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.66 | (2), (10) gives: % 191.14/27.66 | (12) all_4_3 = n20 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (9) with n20, all_4_0, n8, n12, simplifying with % 191.14/27.66 | (4), (11) gives: % 191.14/27.66 | (13) all_4_0 = n20 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (3), (12), (13) imply: % 191.14/27.66 | (14) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (14) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #97 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) all_4_1 = n10 % 191.14/27.66 (2) ~ (all_4_0 = all_4_3) % 191.14/27.66 (3) sum(n11, n11) = n22 % 191.14/27.66 (4) sum(n12, n10) = n22 % 191.14/27.66 (5) all_4_4 = n11 % 191.14/27.66 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.66 (7) sum(n12, all_4_1) = all_4_0 % 191.14/27.66 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 (9) all_4_7 = n11 % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | REDUCE: (5), (6), (9) imply: % 191.14/27.66 | (10) sum(n11, n11) = all_4_3 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (1), (7) imply: % 191.14/27.66 | (11) sum(n12, n10) = all_4_0 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.66 | (3), (10) gives: % 191.14/27.66 | (12) all_4_3 = n22 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (8) with n22, all_4_0, n10, n12, simplifying with % 191.14/27.66 | (4), (11) gives: % 191.14/27.66 | (13) all_4_0 = n22 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (12), (13) imply: % 191.14/27.66 | (14) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (14) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #98 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) all_4_1 = all_4_7 % 191.14/27.66 (2) ~ (all_4_0 = all_4_3) % 191.14/27.66 (3) all_4_4 = n12 % 191.14/27.66 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.66 (5) sum(n12, n12) = n24 % 191.14/27.66 (6) sum(n12, all_4_1) = all_4_0 % 191.14/27.66 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.66 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.66 (8) all_4_1 = all_4_4 % 191.14/27.66 % 191.14/27.66 Begin of proof % 191.14/27.66 | % 191.14/27.66 | COMBINE_EQS: (1), (8) imply: % 191.14/27.66 | (9) all_4_4 = all_4_7 % 191.14/27.66 | % 191.14/27.66 | SIMP: (9) implies: % 191.14/27.66 | (10) all_4_4 = all_4_7 % 191.14/27.66 | % 191.14/27.66 | COMBINE_EQS: (3), (10) imply: % 191.14/27.66 | (11) all_4_7 = n12 % 191.14/27.66 | % 191.14/27.66 | COMBINE_EQS: (1), (11) imply: % 191.14/27.66 | (12) all_4_1 = n12 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (3), (4), (11) imply: % 191.14/27.66 | (13) sum(n12, n12) = all_4_3 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (6), (12) imply: % 191.14/27.66 | (14) sum(n12, n12) = all_4_0 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (7) with n24, all_4_0, n12, n12, simplifying with % 191.14/27.66 | (5), (14) gives: % 191.14/27.66 | (15) all_4_0 = n24 % 191.14/27.66 | % 191.14/27.66 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n12, n12, simplifying % 191.14/27.66 | with (13), (14) gives: % 191.14/27.66 | (16) all_4_0 = all_4_3 % 191.14/27.66 | % 191.14/27.66 | COMBINE_EQS: (15), (16) imply: % 191.14/27.66 | (17) all_4_3 = n24 % 191.14/27.66 | % 191.14/27.66 | REDUCE: (2), (15), (17) imply: % 191.14/27.66 | (18) $false % 191.14/27.66 | % 191.14/27.66 | CLOSE: (18) is inconsistent. % 191.14/27.66 | % 191.14/27.66 End of proof % 191.14/27.66 % 191.14/27.66 Sub-proof #99 shows that the following formulas are inconsistent: % 191.14/27.66 ---------------------------------------------------------------- % 191.14/27.66 (1) sum(n0, n14) = n14 % 191.14/27.66 (2) sum(n20, n20) = all_4_3 % 191.14/27.66 (3) ~ (all_4_0 = all_4_3) % 191.14/27.66 (4) sum(n0, n14) = all_4_0 % 191.14/27.66 (5) sum(n20, n20) = n14 % 191.14/27.67 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n14, all_4_0, n14, n0, simplifying with % 191.14/27.67 | (1), (4) gives: % 191.14/27.67 | (7) all_4_0 = n14 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.67 | (2), (5) gives: % 191.14/27.67 | (8) all_4_3 = n14 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (7), (8) imply: % 191.14/27.67 | (9) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (9) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #100 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n2, n14) = all_4_0 % 191.14/27.67 (2) sum(n2, n14) = n16 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(n21, n21) = n16 % 191.14/27.67 (5) sum(n21, n21) = all_4_3 % 191.14/27.67 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n16, all_4_0, n14, n2, simplifying with % 191.14/27.67 | (1), (2) gives: % 191.14/27.67 | (7) all_4_0 = n16 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.67 | (4), (5) gives: % 191.14/27.67 | (8) all_4_3 = n16 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (7), (8) imply: % 191.14/27.67 | (9) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (9) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #101 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n4, n14) = all_4_0 % 191.14/27.67 (2) sum(n22, n22) = all_4_3 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(n22, n22) = n18 % 191.14/27.67 (5) sum(n4, n14) = n18 % 191.14/27.67 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n18, all_4_0, n14, n4, simplifying with % 191.14/27.67 | (1), (5) gives: % 191.14/27.67 | (7) all_4_0 = n18 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.67 | (2), (4) gives: % 191.14/27.67 | (8) all_4_3 = n18 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (7), (8) imply: % 191.14/27.67 | (9) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (9) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #102 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n6, n14) = n20 % 191.14/27.67 (2) ~ (all_4_0 = all_4_3) % 191.14/27.67 (3) sum(n6, n14) = all_4_0 % 191.14/27.67 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 (5) sum(n23, n23) = all_4_3 % 191.14/27.67 (6) sum(n23, n23) = n20 % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (4) with n20, all_4_0, n14, n6, simplifying with % 191.14/27.67 | (1), (3) gives: % 191.14/27.67 | (7) all_4_0 = n20 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.67 | (5), (6) gives: % 191.14/27.67 | (8) all_4_3 = n20 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (2), (7), (8) imply: % 191.14/27.67 | (9) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (9) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #103 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n8, n14) = all_4_0 % 191.14/27.67 (2) sum(n8, n14) = n22 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(n24, n24) = n22 % 191.14/27.67 (5) sum(n24, n24) = all_4_3 % 191.14/27.67 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n22, all_4_0, n14, n8, simplifying with % 191.14/27.67 | (1), (2) gives: % 191.14/27.67 | (7) all_4_0 = n22 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.67 | (4), (5) gives: % 191.14/27.67 | (8) all_4_3 = n22 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (7), (8) imply: % 191.14/27.67 | (9) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (9) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #104 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n25, n25) = n24 % 191.14/27.67 (2) sum(n25, n25) = all_4_3 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(n10, n14) = all_4_0 % 191.14/27.67 (5) sum(n10, n14) = n24 % 191.14/27.67 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n24, all_4_0, n14, n10, simplifying with % 191.14/27.67 | (4), (5) gives: % 191.14/27.67 | (7) all_4_0 = n24 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.67 | (1), (2) gives: % 191.14/27.67 | (8) all_4_3 = n24 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (7), (8) imply: % 191.14/27.67 | (9) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (9) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #105 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n0, n0) = all_4_3 % 191.14/27.67 (2) sum(n12, n14) = n0 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(n0, n0) = n0 % 191.14/27.67 (5) sum(n12, n14) = all_4_0 % 191.14/27.67 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (1), % 191.14/27.67 | (4) gives: % 191.14/27.67 | (7) all_4_3 = n0 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n0, all_4_0, n14, n12, simplifying with % 191.14/27.67 | (2), (5) gives: % 191.14/27.67 | (8) all_4_0 = n0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (7), (8) imply: % 191.14/27.67 | (9) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (9) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #106 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) all_4_2 = n0 % 191.14/27.67 (2) sum(n0, n14) = n14 % 191.14/27.67 (3) sum(n7, n7) = n14 % 191.14/27.67 (4) all_4_7 = n7 % 191.14/27.67 (5) all_4_4 = n7 % 191.14/27.67 (6) ~ (all_4_0 = all_4_3) % 191.14/27.67 (7) sum(all_4_2, n14) = all_4_0 % 191.14/27.67 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.67 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | REDUCE: (1), (7) imply: % 191.14/27.67 | (10) sum(n0, n14) = all_4_0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (4), (5), (8) imply: % 191.14/27.67 | (11) sum(n7, n7) = all_4_3 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n14, all_4_0, n14, n0, simplifying with % 191.14/27.67 | (2), (10) gives: % 191.14/27.67 | (12) all_4_0 = n14 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.67 | (3), (11) gives: % 191.14/27.67 | (13) all_4_3 = n14 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (6), (12), (13) imply: % 191.14/27.67 | (14) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (14) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #107 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) all_4_4 = n8 % 191.14/27.67 (2) all_4_2 = n2 % 191.14/27.67 (3) sum(n2, n14) = n16 % 191.14/27.67 (4) ~ (all_4_0 = all_4_3) % 191.14/27.67 (5) sum(n8, n8) = n16 % 191.14/27.67 (6) sum(all_4_2, n14) = all_4_0 % 191.14/27.67 (7) all_4_7 = n8 % 191.14/27.67 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.67 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | REDUCE: (2), (6) imply: % 191.14/27.67 | (10) sum(n2, n14) = all_4_0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (1), (7), (8) imply: % 191.14/27.67 | (11) sum(n8, n8) = all_4_3 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n16, all_4_0, n14, n2, simplifying with % 191.14/27.67 | (3), (10) gives: % 191.14/27.67 | (12) all_4_0 = n16 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.67 | (5), (11) gives: % 191.14/27.67 | (13) all_4_3 = n16 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (4), (12), (13) imply: % 191.14/27.67 | (14) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (14) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #108 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) ~ (all_4_0 = all_4_3) % 191.14/27.67 (2) sum(all_4_2, n14) = all_4_0 % 191.14/27.67 (3) all_4_2 = n4 % 191.14/27.67 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.67 (5) sum(n9, n9) = n18 % 191.14/27.67 (6) all_4_7 = n9 % 191.14/27.67 (7) all_4_4 = n9 % 191.14/27.67 (8) sum(n4, n14) = n18 % 191.14/27.67 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | REDUCE: (2), (3) imply: % 191.14/27.67 | (10) sum(n4, n14) = all_4_0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (4), (6), (7) imply: % 191.14/27.67 | (11) sum(n9, n9) = all_4_3 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n18, all_4_0, n14, n4, simplifying with % 191.14/27.67 | (8), (10) gives: % 191.14/27.67 | (12) all_4_0 = n18 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.67 | (5), (11) gives: % 191.14/27.67 | (13) all_4_3 = n18 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (1), (12), (13) imply: % 191.14/27.67 | (14) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (14) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #109 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n6, n14) = n20 % 191.14/27.67 (2) sum(n10, n10) = n20 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(all_4_2, n14) = all_4_0 % 191.14/27.67 (5) all_4_2 = n6 % 191.14/27.67 (6) all_4_4 = n10 % 191.14/27.67 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.67 (8) all_4_7 = n10 % 191.14/27.67 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | REDUCE: (4), (5) imply: % 191.14/27.67 | (10) sum(n6, n14) = all_4_0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (6), (7), (8) imply: % 191.14/27.67 | (11) sum(n10, n10) = all_4_3 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n20, all_4_0, n14, n6, simplifying with % 191.14/27.67 | (1), (10) gives: % 191.14/27.67 | (12) all_4_0 = n20 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.67 | (2), (11) gives: % 191.14/27.67 | (13) all_4_3 = n20 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (12), (13) imply: % 191.14/27.67 | (14) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (14) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #110 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n8, n14) = n22 % 191.14/27.67 (2) ~ (all_4_0 = all_4_3) % 191.14/27.67 (3) sum(n11, n11) = n22 % 191.14/27.67 (4) sum(all_4_2, n14) = all_4_0 % 191.14/27.67 (5) all_4_4 = n11 % 191.14/27.67 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.67 (7) all_4_2 = n8 % 191.14/27.67 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 (9) all_4_7 = n11 % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | REDUCE: (4), (7) imply: % 191.14/27.67 | (10) sum(n8, n14) = all_4_0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (5), (6), (9) imply: % 191.14/27.67 | (11) sum(n11, n11) = all_4_3 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (8) with n22, all_4_0, n14, n8, simplifying with % 191.14/27.67 | (1), (10) gives: % 191.14/27.67 | (12) all_4_0 = n22 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.67 | (3), (11) gives: % 191.14/27.67 | (13) all_4_3 = n22 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (2), (12), (13) imply: % 191.14/27.67 | (14) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (14) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #111 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) all_4_2 = n10 % 191.14/27.67 (2) ~ (all_4_0 = all_4_3) % 191.14/27.67 (3) all_4_7 = n12 % 191.14/27.67 (4) all_4_4 = n12 % 191.14/27.67 (5) sum(all_4_2, n14) = all_4_0 % 191.14/27.67 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.67 (7) sum(n10, n14) = n24 % 191.14/27.67 (8) sum(n12, n12) = n24 % 191.14/27.67 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | REDUCE: (1), (5) imply: % 191.14/27.67 | (10) sum(n10, n14) = all_4_0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (4), (6) imply: % 191.14/27.67 | (11) sum(n12, n12) = all_4_3 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n24, all_4_0, n14, n10, simplifying with % 191.14/27.67 | (7), (10) gives: % 191.14/27.67 | (12) all_4_0 = n24 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.67 | (8), (11) gives: % 191.14/27.67 | (13) all_4_3 = n24 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (2), (12), (13) imply: % 191.14/27.67 | (14) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (14) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #112 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n12, n14) = n0 % 191.14/27.67 (2) all_4_2 = n12 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(n13, n13) = n0 % 191.14/27.67 (5) all_4_7 = n13 % 191.14/27.67 (6) all_4_4 = n13 % 191.14/27.67 (7) sum(all_4_2, n14) = all_4_0 % 191.14/27.67 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.67 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | REDUCE: (2), (7) imply: % 191.14/27.67 | (10) sum(n12, n14) = all_4_0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (5), (6), (8) imply: % 191.14/27.67 | (11) sum(n13, n13) = all_4_3 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n0, all_4_0, n14, n12, simplifying with % 191.14/27.67 | (1), (10) gives: % 191.14/27.67 | (12) all_4_0 = n0 % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.67 | (4), (11) gives: % 191.14/27.67 | (13) all_4_3 = n0 % 191.14/27.67 | % 191.14/27.67 | REDUCE: (3), (12), (13) imply: % 191.14/27.67 | (14) $false % 191.14/27.67 | % 191.14/27.67 | CLOSE: (14) is inconsistent. % 191.14/27.67 | % 191.14/27.67 End of proof % 191.14/27.67 % 191.14/27.67 Sub-proof #113 shows that the following formulas are inconsistent: % 191.14/27.67 ---------------------------------------------------------------- % 191.14/27.67 (1) sum(n14, n0) = all_4_0 % 191.14/27.67 (2) sum(n20, n20) = all_4_3 % 191.14/27.67 (3) ~ (all_4_0 = all_4_3) % 191.14/27.67 (4) sum(n20, n20) = n14 % 191.14/27.67 (5) sum(n14, n0) = n14 % 191.14/27.67 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.67 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.67 % 191.14/27.67 Begin of proof % 191.14/27.67 | % 191.14/27.67 | GROUND_INST: instantiating (6) with n14, all_4_0, n0, n14, simplifying with % 191.14/27.67 | (1), (5) gives: % 191.14/27.67 | (7) all_4_0 = n14 % 191.14/27.67 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.68 | (2), (4) gives: % 191.14/27.68 | (8) all_4_3 = n14 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (3), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #114 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) sum(n14, n2) = n16 % 191.14/27.68 (2) ~ (all_4_0 = all_4_3) % 191.14/27.68 (3) sum(n14, n2) = all_4_0 % 191.14/27.68 (4) sum(n21, n21) = n16 % 191.14/27.68 (5) sum(n21, n21) = all_4_3 % 191.14/27.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n16, all_4_0, n2, n14, simplifying with % 191.14/27.68 | (1), (3) gives: % 191.14/27.68 | (7) all_4_0 = n16 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.68 | (4), (5) gives: % 191.14/27.68 | (8) all_4_3 = n16 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (2), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #115 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) sum(n22, n22) = all_4_3 % 191.14/27.68 (2) ~ (all_4_0 = all_4_3) % 191.14/27.68 (3) sum(n22, n22) = n18 % 191.14/27.68 (4) sum(n14, n4) = all_4_0 % 191.14/27.68 (5) sum(n14, n4) = n18 % 191.14/27.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n18, all_4_0, n4, n14, simplifying with % 191.14/27.68 | (4), (5) gives: % 191.14/27.68 | (7) all_4_0 = n18 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.68 | (1), (3) gives: % 191.14/27.68 | (8) all_4_3 = n18 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (2), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #116 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) ~ (all_4_0 = all_4_3) % 191.14/27.68 (2) sum(n14, n6) = all_4_0 % 191.14/27.68 (3) sum(n14, n6) = n20 % 191.14/27.68 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 (5) sum(n23, n23) = all_4_3 % 191.14/27.68 (6) sum(n23, n23) = n20 % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (4) with n20, all_4_0, n6, n14, simplifying with % 191.14/27.68 | (2), (3) gives: % 191.14/27.68 | (7) all_4_0 = n20 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.68 | (5), (6) gives: % 191.14/27.68 | (8) all_4_3 = n20 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (1), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #117 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) ~ (all_4_0 = all_4_3) % 191.14/27.68 (2) sum(n24, n24) = n22 % 191.14/27.68 (3) sum(n24, n24) = all_4_3 % 191.14/27.68 (4) sum(n14, n8) = all_4_0 % 191.14/27.68 (5) sum(n14, n8) = n22 % 191.14/27.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n22, all_4_0, n8, n14, simplifying with % 191.14/27.68 | (4), (5) gives: % 191.14/27.68 | (7) all_4_0 = n22 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.68 | (2), (3) gives: % 191.14/27.68 | (8) all_4_3 = n22 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (1), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #118 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) sum(n14, n10) = all_4_0 % 191.14/27.68 (2) sum(n25, n25) = n24 % 191.14/27.68 (3) sum(n25, n25) = all_4_3 % 191.14/27.68 (4) ~ (all_4_0 = all_4_3) % 191.14/27.68 (5) sum(n14, n10) = n24 % 191.14/27.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n24, all_4_0, n10, n14, simplifying with % 191.14/27.68 | (1), (5) gives: % 191.14/27.68 | (7) all_4_0 = n24 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.68 | (2), (3) gives: % 191.14/27.68 | (8) all_4_3 = n24 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (4), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #119 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) sum(n14, n12) = n0 % 191.14/27.68 (2) sum(n0, n0) = all_4_3 % 191.14/27.68 (3) sum(n14, n12) = all_4_0 % 191.14/27.68 (4) ~ (all_4_0 = all_4_3) % 191.14/27.68 (5) sum(n0, n0) = n0 % 191.14/27.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2), % 191.14/27.68 | (5) gives: % 191.14/27.68 | (7) all_4_3 = n0 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n0, all_4_0, n12, n14, simplifying with % 191.14/27.68 | (1), (3) gives: % 191.14/27.68 | (8) all_4_0 = n0 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (4), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #120 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) sum(n1, n1) = all_4_3 % 191.14/27.68 (2) sum(n1, n1) = n2 % 191.14/27.68 (3) ~ (all_4_0 = all_4_3) % 191.14/27.68 (4) sum(n14, n14) = n2 % 191.14/27.68 (5) sum(n14, n14) = all_4_0 % 191.14/27.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.68 | (2) gives: % 191.14/27.68 | (7) all_4_3 = n2 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (6) with n2, all_4_0, n14, n14, simplifying with % 191.14/27.68 | (4), (5) gives: % 191.14/27.68 | (8) all_4_0 = n2 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (3), (7), (8) imply: % 191.14/27.68 | (9) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (9) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #121 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) sum(n7, n7) = n14 % 191.14/27.68 (2) all_4_7 = n7 % 191.14/27.68 (3) all_4_4 = n7 % 191.14/27.68 (4) ~ (all_4_0 = all_4_3) % 191.14/27.68 (5) sum(n14, all_4_1) = all_4_0 % 191.14/27.68 (6) all_4_1 = n0 % 191.14/27.68 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.68 (8) sum(n14, n0) = n14 % 191.14/27.68 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | REDUCE: (2), (3), (7) imply: % 191.14/27.68 | (10) sum(n7, n7) = all_4_3 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (5), (6) imply: % 191.14/27.68 | (11) sum(n14, n0) = all_4_0 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.68 | (1), (10) gives: % 191.14/27.68 | (12) all_4_3 = n14 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (9) with n14, all_4_0, n0, n14, simplifying with % 191.14/27.68 | (8), (11) gives: % 191.14/27.68 | (13) all_4_0 = n14 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (4), (12), (13) imply: % 191.14/27.68 | (14) $false % 191.14/27.68 | % 191.14/27.68 | CLOSE: (14) is inconsistent. % 191.14/27.68 | % 191.14/27.68 End of proof % 191.14/27.68 % 191.14/27.68 Sub-proof #122 shows that the following formulas are inconsistent: % 191.14/27.68 ---------------------------------------------------------------- % 191.14/27.68 (1) all_4_4 = n8 % 191.14/27.68 (2) sum(n14, n2) = n16 % 191.14/27.68 (3) ~ (all_4_0 = all_4_3) % 191.14/27.68 (4) sum(n14, all_4_1) = all_4_0 % 191.14/27.68 (5) sum(n8, n8) = n16 % 191.14/27.68 (6) all_4_7 = n8 % 191.14/27.68 (7) all_4_1 = n2 % 191.14/27.68 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.68 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.68 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.68 % 191.14/27.68 Begin of proof % 191.14/27.68 | % 191.14/27.68 | REDUCE: (1), (6), (8) imply: % 191.14/27.68 | (10) sum(n8, n8) = all_4_3 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (4), (7) imply: % 191.14/27.68 | (11) sum(n14, n2) = all_4_0 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.68 | (5), (10) gives: % 191.14/27.68 | (12) all_4_3 = n16 % 191.14/27.68 | % 191.14/27.68 | GROUND_INST: instantiating (9) with n16, all_4_0, n2, n14, simplifying with % 191.14/27.68 | (2), (11) gives: % 191.14/27.68 | (13) all_4_0 = n16 % 191.14/27.68 | % 191.14/27.68 | REDUCE: (3), (12), (13) imply: % 191.14/27.69 | (14) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (14) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #123 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) ~ (all_4_0 = all_4_3) % 191.14/27.69 (2) all_4_1 = n4 % 191.14/27.69 (3) sum(n14, all_4_1) = all_4_0 % 191.14/27.69 (4) sum(n14, n4) = n18 % 191.14/27.69 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (6) sum(n9, n9) = n18 % 191.14/27.69 (7) all_4_7 = n9 % 191.14/27.69 (8) all_4_4 = n9 % 191.14/27.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | REDUCE: (5), (7), (8) imply: % 191.14/27.69 | (10) sum(n9, n9) = all_4_3 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (2), (3) imply: % 191.14/27.69 | (11) sum(n14, n4) = all_4_0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.69 | (6), (10) gives: % 191.14/27.69 | (12) all_4_3 = n18 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n18, all_4_0, n4, n14, simplifying with % 191.14/27.69 | (4), (11) gives: % 191.14/27.69 | (13) all_4_0 = n18 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (1), (12), (13) imply: % 191.14/27.69 | (14) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (14) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #124 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) all_4_1 = n6 % 191.14/27.69 (2) sum(n10, n10) = n20 % 191.14/27.69 (3) ~ (all_4_0 = all_4_3) % 191.14/27.69 (4) sum(n14, all_4_1) = all_4_0 % 191.14/27.69 (5) sum(n14, n6) = n20 % 191.14/27.69 (6) all_4_4 = n10 % 191.14/27.69 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (8) all_4_7 = n10 % 191.14/27.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | REDUCE: (6), (7), (8) imply: % 191.14/27.69 | (10) sum(n10, n10) = all_4_3 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (1), (4) imply: % 191.14/27.69 | (11) sum(n14, n6) = all_4_0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.69 | (2), (10) gives: % 191.14/27.69 | (12) all_4_3 = n20 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n20, all_4_0, n6, n14, simplifying with % 191.14/27.69 | (5), (11) gives: % 191.14/27.69 | (13) all_4_0 = n20 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (3), (12), (13) imply: % 191.14/27.69 | (14) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (14) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #125 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) all_4_1 = n8 % 191.14/27.69 (2) ~ (all_4_0 = all_4_3) % 191.14/27.69 (3) sum(n14, all_4_1) = all_4_0 % 191.14/27.69 (4) sum(n11, n11) = n22 % 191.14/27.69 (5) all_4_4 = n11 % 191.14/27.69 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (7) sum(n14, n8) = n22 % 191.14/27.69 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 (9) all_4_7 = n11 % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | REDUCE: (5), (6), (9) imply: % 191.14/27.69 | (10) sum(n11, n11) = all_4_3 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (1), (3) imply: % 191.14/27.69 | (11) sum(n14, n8) = all_4_0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.69 | (4), (10) gives: % 191.14/27.69 | (12) all_4_3 = n22 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (8) with n22, all_4_0, n8, n14, simplifying with % 191.14/27.69 | (7), (11) gives: % 191.14/27.69 | (13) all_4_0 = n22 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (2), (12), (13) imply: % 191.14/27.69 | (14) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (14) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #126 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) all_4_1 = n10 % 191.14/27.69 (2) ~ (all_4_0 = all_4_3) % 191.14/27.69 (3) sum(n14, all_4_1) = all_4_0 % 191.14/27.69 (4) sum(n14, n10) = n24 % 191.14/27.69 (5) all_4_7 = n12 % 191.14/27.69 (6) all_4_4 = n12 % 191.14/27.69 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (8) sum(n12, n12) = n24 % 191.14/27.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | REDUCE: (5), (6), (7) imply: % 191.14/27.69 | (10) sum(n12, n12) = all_4_3 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (1), (3) imply: % 191.14/27.69 | (11) sum(n14, n10) = all_4_0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.69 | (8), (10) gives: % 191.14/27.69 | (12) all_4_3 = n24 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n24, all_4_0, n10, n14, simplifying with % 191.14/27.69 | (4), (11) gives: % 191.14/27.69 | (13) all_4_0 = n24 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (2), (12), (13) imply: % 191.14/27.69 | (14) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (14) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #127 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) sum(n14, n12) = n0 % 191.14/27.69 (2) ~ (all_4_0 = all_4_3) % 191.14/27.69 (3) sum(n14, all_4_1) = all_4_0 % 191.14/27.69 (4) sum(n13, n13) = n0 % 191.14/27.69 (5) all_4_7 = n13 % 191.14/27.69 (6) all_4_4 = n13 % 191.14/27.69 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (8) all_4_1 = n12 % 191.14/27.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | REDUCE: (5), (6), (7) imply: % 191.14/27.69 | (10) sum(n13, n13) = all_4_3 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (3), (8) imply: % 191.14/27.69 | (11) sum(n14, n12) = all_4_0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.69 | (4), (10) gives: % 191.14/27.69 | (12) all_4_3 = n0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n0, all_4_0, n12, n14, simplifying with % 191.14/27.69 | (1), (11) gives: % 191.14/27.69 | (13) all_4_0 = n0 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (2), (12), (13) imply: % 191.14/27.69 | (14) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (14) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #128 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) all_4_1 = all_4_7 % 191.14/27.69 (2) ~ (all_4_0 = all_4_3) % 191.14/27.69 (3) sum(n14, all_4_1) = all_4_0 % 191.14/27.69 (4) sum(n14, n14) = n2 % 191.14/27.69 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (6) all_4_4 = n14 % 191.14/27.69 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 (8) all_4_1 = all_4_4 % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | COMBINE_EQS: (1), (8) imply: % 191.14/27.69 | (9) all_4_4 = all_4_7 % 191.14/27.69 | % 191.14/27.69 | SIMP: (9) implies: % 191.14/27.69 | (10) all_4_4 = all_4_7 % 191.14/27.69 | % 191.14/27.69 | COMBINE_EQS: (6), (10) imply: % 191.14/27.69 | (11) all_4_7 = n14 % 191.14/27.69 | % 191.14/27.69 | COMBINE_EQS: (1), (11) imply: % 191.14/27.69 | (12) all_4_1 = n14 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (5), (6), (11) imply: % 191.14/27.69 | (13) sum(n14, n14) = all_4_3 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (3), (12) imply: % 191.14/27.69 | (14) sum(n14, n14) = all_4_0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (7) with n2, all_4_0, n14, n14, simplifying with % 191.14/27.69 | (4), (14) gives: % 191.14/27.69 | (15) all_4_0 = n2 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n14, n14, simplifying % 191.14/27.69 | with (13), (14) gives: % 191.14/27.69 | (16) all_4_0 = all_4_3 % 191.14/27.69 | % 191.14/27.69 | COMBINE_EQS: (15), (16) imply: % 191.14/27.69 | (17) all_4_3 = n2 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (2), (15), (17) imply: % 191.14/27.69 | (18) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (18) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #129 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) sum(n0, n16) = n16 % 191.14/27.69 (2) ~ (all_4_0 = all_4_3) % 191.14/27.69 (3) sum(n21, n21) = n16 % 191.14/27.69 (4) sum(n21, n21) = all_4_3 % 191.14/27.69 (5) sum(n0, n16) = all_4_0 % 191.14/27.69 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n16, all_4_0, n16, n0, simplifying with % 191.14/27.69 | (1), (5) gives: % 191.14/27.69 | (7) all_4_0 = n16 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.69 | (3), (4) gives: % 191.14/27.69 | (8) all_4_3 = n16 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (2), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #130 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) sum(n2, n16) = all_4_0 % 191.14/27.69 (2) sum(n22, n22) = all_4_3 % 191.14/27.69 (3) ~ (all_4_0 = all_4_3) % 191.14/27.69 (4) sum(n22, n22) = n18 % 191.14/27.69 (5) sum(n2, n16) = n18 % 191.14/27.69 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n18, all_4_0, n16, n2, simplifying with % 191.14/27.69 | (1), (5) gives: % 191.14/27.69 | (7) all_4_0 = n18 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.69 | (2), (4) gives: % 191.14/27.69 | (8) all_4_3 = n18 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (3), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #131 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) sum(n4, n16) = n20 % 191.14/27.69 (2) sum(n4, n16) = all_4_0 % 191.14/27.69 (3) ~ (all_4_0 = all_4_3) % 191.14/27.69 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 (5) sum(n23, n23) = all_4_3 % 191.14/27.69 (6) sum(n23, n23) = n20 % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (4) with n20, all_4_0, n16, n4, simplifying with % 191.14/27.69 | (1), (2) gives: % 191.14/27.69 | (7) all_4_0 = n20 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.69 | (5), (6) gives: % 191.14/27.69 | (8) all_4_3 = n20 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (3), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #132 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) ~ (all_4_0 = all_4_3) % 191.14/27.69 (2) sum(n24, n24) = n22 % 191.14/27.69 (3) sum(n24, n24) = all_4_3 % 191.14/27.69 (4) sum(n6, n16) = n22 % 191.14/27.69 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 (6) sum(n6, n16) = all_4_0 % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (5) with n22, all_4_0, n16, n6, simplifying with % 191.14/27.69 | (4), (6) gives: % 191.14/27.69 | (7) all_4_0 = n22 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (5) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.69 | (2), (3) gives: % 191.14/27.69 | (8) all_4_3 = n22 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (1), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #133 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) sum(n25, n25) = n24 % 191.14/27.69 (2) sum(n8, n16) = n24 % 191.14/27.69 (3) sum(n25, n25) = all_4_3 % 191.14/27.69 (4) ~ (all_4_0 = all_4_3) % 191.14/27.69 (5) sum(n8, n16) = all_4_0 % 191.14/27.69 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n24, all_4_0, n16, n8, simplifying with % 191.14/27.69 | (2), (5) gives: % 191.14/27.69 | (7) all_4_0 = n24 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.69 | (1), (3) gives: % 191.14/27.69 | (8) all_4_3 = n24 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (4), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #134 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) sum(n10, n16) = all_4_0 % 191.14/27.69 (2) sum(n0, n0) = all_4_3 % 191.14/27.69 (3) ~ (all_4_0 = all_4_3) % 191.14/27.69 (4) sum(n0, n0) = n0 % 191.14/27.69 (5) sum(n10, n16) = n0 % 191.14/27.69 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2), % 191.14/27.69 | (4) gives: % 191.14/27.69 | (7) all_4_3 = n0 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n0, all_4_0, n16, n10, simplifying with % 191.14/27.69 | (1), (5) gives: % 191.14/27.69 | (8) all_4_0 = n0 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (3), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #135 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) sum(n1, n1) = all_4_3 % 191.14/27.69 (2) sum(n1, n1) = n2 % 191.14/27.69 (3) sum(n12, n16) = all_4_0 % 191.14/27.69 (4) sum(n12, n16) = n2 % 191.14/27.69 (5) ~ (all_4_0 = all_4_3) % 191.14/27.69 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.69 | (2) gives: % 191.14/27.69 | (7) all_4_3 = n2 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n2, all_4_0, n16, n12, simplifying with % 191.14/27.69 | (3), (4) gives: % 191.14/27.69 | (8) all_4_0 = n2 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (5), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #136 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) ~ (all_4_0 = all_4_3) % 191.14/27.69 (2) sum(n14, n16) = n4 % 191.14/27.69 (3) sum(n2, n2) = n4 % 191.14/27.69 (4) sum(n2, n2) = all_4_3 % 191.14/27.69 (5) sum(n14, n16) = all_4_0 % 191.14/27.69 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (3), % 191.14/27.69 | (4) gives: % 191.14/27.69 | (7) all_4_3 = n4 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (6) with n4, all_4_0, n16, n14, simplifying with % 191.14/27.69 | (2), (5) gives: % 191.14/27.69 | (8) all_4_0 = n4 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (1), (7), (8) imply: % 191.14/27.69 | (9) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (9) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #137 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) all_4_2 = n0 % 191.14/27.69 (2) all_4_4 = n8 % 191.14/27.69 (3) sum(n0, n16) = n16 % 191.14/27.69 (4) ~ (all_4_0 = all_4_3) % 191.14/27.69 (5) sum(n8, n8) = n16 % 191.14/27.69 (6) sum(all_4_2, n16) = all_4_0 % 191.14/27.69 (7) all_4_7 = n8 % 191.14/27.69 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.69 | % 191.14/27.69 | REDUCE: (1), (6) imply: % 191.14/27.69 | (10) sum(n0, n16) = all_4_0 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (2), (7), (8) imply: % 191.14/27.69 | (11) sum(n8, n8) = all_4_3 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n16, all_4_0, n16, n0, simplifying with % 191.14/27.69 | (3), (10) gives: % 191.14/27.69 | (12) all_4_0 = n16 % 191.14/27.69 | % 191.14/27.69 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.69 | (5), (11) gives: % 191.14/27.69 | (13) all_4_3 = n16 % 191.14/27.69 | % 191.14/27.69 | REDUCE: (4), (12), (13) imply: % 191.14/27.69 | (14) $false % 191.14/27.69 | % 191.14/27.69 | CLOSE: (14) is inconsistent. % 191.14/27.69 | % 191.14/27.69 End of proof % 191.14/27.69 % 191.14/27.69 Sub-proof #138 shows that the following formulas are inconsistent: % 191.14/27.69 ---------------------------------------------------------------- % 191.14/27.69 (1) all_4_2 = n2 % 191.14/27.69 (2) ~ (all_4_0 = all_4_3) % 191.14/27.69 (3) sum(all_4_2, n16) = all_4_0 % 191.14/27.69 (4) sum(n2, n16) = n18 % 191.14/27.69 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.69 (6) sum(n9, n9) = n18 % 191.14/27.69 (7) all_4_7 = n9 % 191.14/27.69 (8) all_4_4 = n9 % 191.14/27.69 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.69 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.69 % 191.14/27.69 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (3) imply: % 191.14/27.70 | (10) sum(n2, n16) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (5), (7), (8) imply: % 191.14/27.70 | (11) sum(n9, n9) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n18, all_4_0, n16, n2, simplifying with % 191.14/27.70 | (4), (10) gives: % 191.14/27.70 | (12) all_4_0 = n18 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.70 | (6), (11) gives: % 191.14/27.70 | (13) all_4_3 = n18 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (2), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #139 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n4, n16) = n20 % 191.14/27.70 (2) sum(n10, n10) = n20 % 191.14/27.70 (3) ~ (all_4_0 = all_4_3) % 191.14/27.70 (4) sum(all_4_2, n16) = all_4_0 % 191.14/27.70 (5) all_4_4 = n10 % 191.14/27.70 (6) all_4_2 = n4 % 191.14/27.70 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (8) all_4_7 = n10 % 191.14/27.70 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (4), (6) imply: % 191.14/27.70 | (10) sum(n4, n16) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (5), (7), (8) imply: % 191.14/27.70 | (11) sum(n10, n10) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n20, all_4_0, n16, n4, simplifying with % 191.14/27.70 | (1), (10) gives: % 191.14/27.70 | (12) all_4_0 = n20 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.70 | (2), (11) gives: % 191.14/27.70 | (13) all_4_3 = n20 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (3), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #140 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) ~ (all_4_0 = all_4_3) % 191.14/27.70 (2) sum(all_4_2, n16) = all_4_0 % 191.14/27.70 (3) sum(n11, n11) = n22 % 191.14/27.70 (4) all_4_2 = n6 % 191.14/27.70 (5) all_4_4 = n11 % 191.14/27.70 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (7) sum(n6, n16) = n22 % 191.14/27.70 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 (9) all_4_7 = n11 % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (2), (4) imply: % 191.14/27.70 | (10) sum(n6, n16) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (5), (6), (9) imply: % 191.14/27.70 | (11) sum(n11, n11) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (8) with n22, all_4_0, n16, n6, simplifying with % 191.14/27.70 | (7), (10) gives: % 191.14/27.70 | (12) all_4_0 = n22 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.70 | (3), (11) gives: % 191.14/27.70 | (13) all_4_3 = n22 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #141 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n8, n16) = n24 % 191.14/27.70 (2) ~ (all_4_0 = all_4_3) % 191.14/27.70 (3) sum(all_4_2, n16) = all_4_0 % 191.14/27.70 (4) all_4_7 = n12 % 191.14/27.70 (5) all_4_4 = n12 % 191.14/27.70 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (7) all_4_2 = n8 % 191.14/27.70 (8) sum(n12, n12) = n24 % 191.14/27.70 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (3), (7) imply: % 191.14/27.70 | (10) sum(n8, n16) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (4), (5), (6) imply: % 191.14/27.70 | (11) sum(n12, n12) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n24, all_4_0, n16, n8, simplifying with % 191.14/27.70 | (1), (10) gives: % 191.14/27.70 | (12) all_4_0 = n24 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.70 | (8), (11) gives: % 191.14/27.70 | (13) all_4_3 = n24 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (2), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #142 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) all_4_2 = n10 % 191.14/27.70 (2) ~ (all_4_0 = all_4_3) % 191.14/27.70 (3) sum(n13, n13) = n0 % 191.14/27.70 (4) sum(all_4_2, n16) = all_4_0 % 191.14/27.70 (5) all_4_7 = n13 % 191.14/27.70 (6) all_4_4 = n13 % 191.14/27.70 (7) sum(n10, n16) = n0 % 191.14/27.70 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (4) imply: % 191.14/27.70 | (10) sum(n10, n16) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (5), (6), (8) imply: % 191.14/27.70 | (11) sum(n13, n13) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n0, all_4_0, n16, n10, simplifying with % 191.14/27.70 | (7), (10) gives: % 191.14/27.70 | (12) all_4_0 = n0 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.70 | (3), (11) gives: % 191.14/27.70 | (13) all_4_3 = n0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (2), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #143 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) all_4_2 = n12 % 191.14/27.70 (2) sum(n12, n16) = n2 % 191.14/27.70 (3) ~ (all_4_0 = all_4_3) % 191.14/27.70 (4) sum(n14, n14) = n2 % 191.14/27.70 (5) sum(all_4_2, n16) = all_4_0 % 191.14/27.70 (6) all_4_7 = n14 % 191.14/27.70 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (8) all_4_4 = n14 % 191.14/27.70 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (5) imply: % 191.14/27.70 | (10) sum(n12, n16) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (6), (7), (8) imply: % 191.14/27.70 | (11) sum(n14, n14) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n2, all_4_0, n16, n12, simplifying with % 191.14/27.70 | (2), (10) gives: % 191.14/27.70 | (12) all_4_0 = n2 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.70 | (4), (11) gives: % 191.14/27.70 | (13) all_4_3 = n2 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (3), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #144 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) all_4_2 = n14 % 191.14/27.70 (2) sum(n15, n15) = n4 % 191.14/27.70 (3) all_4_7 = n15 % 191.14/27.70 (4) ~ (all_4_0 = all_4_3) % 191.14/27.70 (5) sum(all_4_2, n16) = all_4_0 % 191.14/27.70 (6) sum(n14, n16) = n4 % 191.14/27.70 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 (9) all_4_4 = n15 % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (5) imply: % 191.14/27.70 | (10) sum(n14, n16) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (3), (7), (9) imply: % 191.14/27.70 | (11) sum(n15, n15) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (8) with n4, all_4_0, n16, n14, simplifying with % 191.14/27.70 | (6), (10) gives: % 191.14/27.70 | (12) all_4_0 = n4 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.70 | (2), (11) gives: % 191.14/27.70 | (13) all_4_3 = n4 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (4), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #145 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) ~ (all_4_0 = all_4_3) % 191.14/27.70 (2) sum(n16, n0) = all_4_0 % 191.14/27.70 (3) sum(n16, n0) = n16 % 191.14/27.70 (4) sum(n21, n21) = n16 % 191.14/27.70 (5) sum(n21, n21) = all_4_3 % 191.14/27.70 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n16, all_4_0, n0, n16, simplifying with % 191.14/27.70 | (2), (3) gives: % 191.14/27.70 | (7) all_4_0 = n16 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.70 | (4), (5) gives: % 191.14/27.70 | (8) all_4_3 = n16 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #146 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n16, n2) = all_4_0 % 191.14/27.70 (2) sum(n22, n22) = all_4_3 % 191.14/27.70 (3) sum(n16, n2) = n18 % 191.14/27.70 (4) ~ (all_4_0 = all_4_3) % 191.14/27.70 (5) sum(n22, n22) = n18 % 191.14/27.70 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n18, all_4_0, n2, n16, simplifying with % 191.14/27.70 | (1), (3) gives: % 191.14/27.70 | (7) all_4_0 = n18 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.70 | (2), (5) gives: % 191.14/27.70 | (8) all_4_3 = n18 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (4), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #147 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n16, n4) = n20 % 191.14/27.70 (2) ~ (all_4_0 = all_4_3) % 191.14/27.70 (3) sum(n16, n4) = all_4_0 % 191.14/27.70 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 (5) sum(n23, n23) = all_4_3 % 191.14/27.70 (6) sum(n23, n23) = n20 % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (4) with n20, all_4_0, n4, n16, simplifying with % 191.14/27.70 | (1), (3) gives: % 191.14/27.70 | (7) all_4_0 = n20 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.70 | (5), (6) gives: % 191.14/27.70 | (8) all_4_3 = n20 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (2), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #148 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) ~ (all_4_0 = all_4_3) % 191.14/27.70 (2) sum(n16, n6) = all_4_0 % 191.14/27.70 (3) sum(n16, n6) = n22 % 191.14/27.70 (4) sum(n24, n24) = n22 % 191.14/27.70 (5) sum(n24, n24) = all_4_3 % 191.14/27.70 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n22, all_4_0, n6, n16, simplifying with % 191.14/27.70 | (2), (3) gives: % 191.14/27.70 | (7) all_4_0 = n22 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.70 | (4), (5) gives: % 191.14/27.70 | (8) all_4_3 = n22 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #149 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n25, n25) = n24 % 191.14/27.70 (2) sum(n25, n25) = all_4_3 % 191.14/27.70 (3) ~ (all_4_0 = all_4_3) % 191.14/27.70 (4) sum(n16, n8) = n24 % 191.14/27.70 (5) sum(n16, n8) = all_4_0 % 191.14/27.70 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n24, all_4_0, n8, n16, simplifying with % 191.14/27.70 | (4), (5) gives: % 191.14/27.70 | (7) all_4_0 = n24 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.70 | (1), (2) gives: % 191.14/27.70 | (8) all_4_3 = n24 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (3), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #150 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n16, n10) = n0 % 191.14/27.70 (2) sum(n16, n10) = all_4_0 % 191.14/27.70 (3) sum(n0, n0) = all_4_3 % 191.14/27.70 (4) ~ (all_4_0 = all_4_3) % 191.14/27.70 (5) sum(n0, n0) = n0 % 191.14/27.70 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (3), % 191.14/27.70 | (5) gives: % 191.14/27.70 | (7) all_4_3 = n0 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n0, all_4_0, n10, n16, simplifying with % 191.14/27.70 | (1), (2) gives: % 191.14/27.70 | (8) all_4_0 = n0 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (4), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #151 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n1, n1) = all_4_3 % 191.14/27.70 (2) sum(n16, n12) = all_4_0 % 191.14/27.70 (3) sum(n1, n1) = n2 % 191.14/27.70 (4) ~ (all_4_0 = all_4_3) % 191.14/27.70 (5) sum(n16, n12) = n2 % 191.14/27.70 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.70 | (3) gives: % 191.14/27.70 | (7) all_4_3 = n2 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n2, all_4_0, n12, n16, simplifying with % 191.14/27.70 | (2), (5) gives: % 191.14/27.70 | (8) all_4_0 = n2 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (4), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #152 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n16, n14) = all_4_0 % 191.14/27.70 (2) ~ (all_4_0 = all_4_3) % 191.14/27.70 (3) sum(n2, n2) = n4 % 191.14/27.70 (4) sum(n2, n2) = all_4_3 % 191.14/27.70 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 (6) sum(n16, n14) = n4 % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (5) with n4, all_4_3, n2, n2, simplifying with (3), % 191.14/27.70 | (4) gives: % 191.14/27.70 | (7) all_4_3 = n4 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (5) with n4, all_4_0, n14, n16, simplifying with % 191.14/27.70 | (1), (6) gives: % 191.14/27.70 | (8) all_4_0 = n4 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (2), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #153 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n16, n16) = all_4_0 % 191.14/27.70 (2) sum(n3, n3) = n6 % 191.14/27.70 (3) ~ (all_4_0 = all_4_3) % 191.14/27.70 (4) sum(n3, n3) = all_4_3 % 191.14/27.70 (5) sum(n16, n16) = n6 % 191.14/27.70 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (2), % 191.14/27.70 | (4) gives: % 191.14/27.70 | (7) all_4_3 = n6 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (6) with n6, all_4_0, n16, n16, simplifying with % 191.14/27.70 | (1), (5) gives: % 191.14/27.70 | (8) all_4_0 = n6 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (3), (7), (8) imply: % 191.14/27.70 | (9) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (9) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #154 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n16, all_4_1) = all_4_0 % 191.14/27.70 (2) all_4_4 = n8 % 191.14/27.70 (3) ~ (all_4_0 = all_4_3) % 191.14/27.70 (4) sum(n8, n8) = n16 % 191.14/27.70 (5) all_4_7 = n8 % 191.14/27.70 (6) all_4_1 = n0 % 191.14/27.70 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (8) sum(n16, n0) = n16 % 191.14/27.70 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.70 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.70 % 191.14/27.70 Begin of proof % 191.14/27.70 | % 191.14/27.70 | REDUCE: (2), (5), (7) imply: % 191.14/27.70 | (10) sum(n8, n8) = all_4_3 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (1), (6) imply: % 191.14/27.70 | (11) sum(n16, n0) = all_4_0 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.70 | (4), (10) gives: % 191.14/27.70 | (12) all_4_3 = n16 % 191.14/27.70 | % 191.14/27.70 | GROUND_INST: instantiating (9) with n16, all_4_0, n0, n16, simplifying with % 191.14/27.70 | (8), (11) gives: % 191.14/27.70 | (13) all_4_0 = n16 % 191.14/27.70 | % 191.14/27.70 | REDUCE: (3), (12), (13) imply: % 191.14/27.70 | (14) $false % 191.14/27.70 | % 191.14/27.70 | CLOSE: (14) is inconsistent. % 191.14/27.70 | % 191.14/27.70 End of proof % 191.14/27.70 % 191.14/27.70 Sub-proof #155 shows that the following formulas are inconsistent: % 191.14/27.70 ---------------------------------------------------------------- % 191.14/27.70 (1) sum(n16, all_4_1) = all_4_0 % 191.14/27.70 (2) sum(n16, n2) = n18 % 191.14/27.70 (3) ~ (all_4_0 = all_4_3) % 191.14/27.70 (4) all_4_1 = n2 % 191.14/27.70 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.70 (6) sum(n9, n9) = n18 % 191.14/27.70 (7) all_4_7 = n9 % 191.14/27.70 (8) all_4_4 = n9 % 191.14/27.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (5), (7), (8) imply: % 191.14/27.71 | (10) sum(n9, n9) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (4) imply: % 191.14/27.71 | (11) sum(n16, n2) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.71 | (6), (10) gives: % 191.14/27.71 | (12) all_4_3 = n18 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n18, all_4_0, n2, n16, simplifying with % 191.14/27.71 | (2), (11) gives: % 191.14/27.71 | (13) all_4_0 = n18 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (3), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #156 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n16, n4) = n20 % 191.14/27.71 (2) sum(n16, all_4_1) = all_4_0 % 191.14/27.71 (3) sum(n10, n10) = n20 % 191.14/27.71 (4) ~ (all_4_0 = all_4_3) % 191.14/27.71 (5) all_4_1 = n4 % 191.14/27.71 (6) all_4_4 = n10 % 191.14/27.71 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (8) all_4_7 = n10 % 191.14/27.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (6), (7), (8) imply: % 191.14/27.71 | (10) sum(n10, n10) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (2), (5) imply: % 191.14/27.71 | (11) sum(n16, n4) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.71 | (3), (10) gives: % 191.14/27.71 | (12) all_4_3 = n20 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n20, all_4_0, n4, n16, simplifying with % 191.14/27.71 | (1), (11) gives: % 191.14/27.71 | (13) all_4_0 = n20 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #157 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) all_4_1 = n6 % 191.14/27.71 (2) sum(n16, all_4_1) = all_4_0 % 191.14/27.71 (3) ~ (all_4_0 = all_4_3) % 191.14/27.71 (4) sum(n11, n11) = n22 % 191.14/27.71 (5) sum(n16, n6) = n22 % 191.14/27.71 (6) all_4_4 = n11 % 191.14/27.71 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 (9) all_4_7 = n11 % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (6), (7), (9) imply: % 191.14/27.71 | (10) sum(n11, n11) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (2) imply: % 191.14/27.71 | (11) sum(n16, n6) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.71 | (4), (10) gives: % 191.14/27.71 | (12) all_4_3 = n22 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (8) with n22, all_4_0, n6, n16, simplifying with % 191.14/27.71 | (5), (11) gives: % 191.14/27.71 | (13) all_4_0 = n22 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (3), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #158 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) all_4_1 = n8 % 191.14/27.71 (2) sum(n16, all_4_1) = all_4_0 % 191.14/27.71 (3) ~ (all_4_0 = all_4_3) % 191.14/27.71 (4) all_4_7 = n12 % 191.14/27.71 (5) all_4_4 = n12 % 191.14/27.71 (6) sum(n16, n8) = n24 % 191.14/27.71 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (8) sum(n12, n12) = n24 % 191.14/27.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (5), (7) imply: % 191.14/27.71 | (10) sum(n12, n12) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (2) imply: % 191.14/27.71 | (11) sum(n16, n8) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.71 | (8), (10) gives: % 191.14/27.71 | (12) all_4_3 = n24 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n24, all_4_0, n8, n16, simplifying with % 191.14/27.71 | (6), (11) gives: % 191.14/27.71 | (13) all_4_0 = n24 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (3), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #159 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n16, n10) = n0 % 191.14/27.71 (2) sum(n16, all_4_1) = all_4_0 % 191.14/27.71 (3) all_4_1 = n10 % 191.14/27.71 (4) ~ (all_4_0 = all_4_3) % 191.14/27.71 (5) sum(n13, n13) = n0 % 191.14/27.71 (6) all_4_7 = n13 % 191.14/27.71 (7) all_4_4 = n13 % 191.14/27.71 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (6), (7), (8) imply: % 191.14/27.71 | (10) sum(n13, n13) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (2), (3) imply: % 191.14/27.71 | (11) sum(n16, n10) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.71 | (5), (10) gives: % 191.14/27.71 | (12) all_4_3 = n0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n0, all_4_0, n10, n16, simplifying with % 191.14/27.71 | (1), (11) gives: % 191.14/27.71 | (13) all_4_0 = n0 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #160 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n16, all_4_1) = all_4_0 % 191.14/27.71 (2) ~ (all_4_0 = all_4_3) % 191.14/27.71 (3) sum(n14, n14) = n2 % 191.14/27.71 (4) all_4_7 = n14 % 191.14/27.71 (5) sum(n16, n12) = n2 % 191.14/27.71 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (7) all_4_4 = n14 % 191.14/27.71 (8) all_4_1 = n12 % 191.14/27.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (6), (7) imply: % 191.14/27.71 | (10) sum(n14, n14) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (8) imply: % 191.14/27.71 | (11) sum(n16, n12) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.71 | (3), (10) gives: % 191.14/27.71 | (12) all_4_3 = n2 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n2, all_4_0, n12, n16, simplifying with % 191.14/27.71 | (5), (11) gives: % 191.14/27.71 | (13) all_4_0 = n2 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (2), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #161 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) all_4_1 = n14 % 191.14/27.71 (2) sum(n15, n15) = n4 % 191.14/27.71 (3) sum(n16, all_4_1) = all_4_0 % 191.14/27.71 (4) all_4_7 = n15 % 191.14/27.71 (5) ~ (all_4_0 = all_4_3) % 191.14/27.71 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 (8) sum(n16, n14) = n4 % 191.14/27.71 (9) all_4_4 = n15 % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (6), (9) imply: % 191.14/27.71 | (10) sum(n15, n15) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (3) imply: % 191.14/27.71 | (11) sum(n16, n14) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (7) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.71 | (2), (10) gives: % 191.14/27.71 | (12) all_4_3 = n4 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (7) with n4, all_4_0, n14, n16, simplifying with % 191.14/27.71 | (8), (11) gives: % 191.14/27.71 | (13) all_4_0 = n4 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (5), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #162 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n16, all_4_1) = all_4_0 % 191.14/27.71 (2) all_4_1 = all_4_7 % 191.14/27.71 (3) ~ (all_4_0 = all_4_3) % 191.14/27.71 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (5) all_4_4 = n16 % 191.14/27.71 (6) sum(n16, n16) = n6 % 191.14/27.71 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 (8) all_4_1 = all_4_4 % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | COMBINE_EQS: (2), (8) imply: % 191.14/27.71 | (9) all_4_4 = all_4_7 % 191.14/27.71 | % 191.14/27.71 | SIMP: (9) implies: % 191.14/27.71 | (10) all_4_4 = all_4_7 % 191.14/27.71 | % 191.14/27.71 | COMBINE_EQS: (5), (10) imply: % 191.14/27.71 | (11) all_4_7 = n16 % 191.14/27.71 | % 191.14/27.71 | COMBINE_EQS: (2), (11) imply: % 191.14/27.71 | (12) all_4_1 = n16 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (5), (11) imply: % 191.14/27.71 | (13) sum(n16, n16) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (12) imply: % 191.14/27.71 | (14) sum(n16, n16) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (7) with n6, all_4_0, n16, n16, simplifying with % 191.14/27.71 | (6), (14) gives: % 191.14/27.71 | (15) all_4_0 = n6 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n16, n16, simplifying % 191.14/27.71 | with (13), (14) gives: % 191.14/27.71 | (16) all_4_0 = all_4_3 % 191.14/27.71 | % 191.14/27.71 | COMBINE_EQS: (15), (16) imply: % 191.14/27.71 | (17) all_4_3 = n6 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (3), (15), (17) imply: % 191.14/27.71 | (18) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (18) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #163 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n22, n22) = all_4_3 % 191.14/27.71 (2) ~ (all_4_0 = all_4_3) % 191.14/27.71 (3) sum(n0, n18) = all_4_0 % 191.14/27.71 (4) sum(n22, n22) = n18 % 191.14/27.71 (5) sum(n0, n18) = n18 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n18, all_4_0, n18, n0, simplifying with % 191.14/27.71 | (3), (5) gives: % 191.14/27.71 | (7) all_4_0 = n18 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.71 | (1), (4) gives: % 191.14/27.71 | (8) all_4_3 = n18 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (2), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #164 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) ~ (all_4_0 = all_4_3) % 191.14/27.71 (2) sum(n2, n18) = all_4_0 % 191.14/27.71 (3) sum(n2, n18) = n20 % 191.14/27.71 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 (5) sum(n23, n23) = all_4_3 % 191.14/27.71 (6) sum(n23, n23) = n20 % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (4) with n20, all_4_0, n18, n2, simplifying with % 191.14/27.71 | (2), (3) gives: % 191.14/27.71 | (7) all_4_0 = n20 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.71 | (5), (6) gives: % 191.14/27.71 | (8) all_4_3 = n20 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #165 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n4, n18) = all_4_0 % 191.14/27.71 (2) ~ (all_4_0 = all_4_3) % 191.14/27.71 (3) sum(n24, n24) = n22 % 191.14/27.71 (4) sum(n24, n24) = all_4_3 % 191.14/27.71 (5) sum(n4, n18) = n22 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n22, all_4_0, n18, n4, simplifying with % 191.14/27.71 | (1), (5) gives: % 191.14/27.71 | (7) all_4_0 = n22 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.71 | (3), (4) gives: % 191.14/27.71 | (8) all_4_3 = n22 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (2), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #166 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n25, n25) = n24 % 191.14/27.71 (2) sum(n6, n18) = all_4_0 % 191.14/27.71 (3) sum(n25, n25) = all_4_3 % 191.14/27.71 (4) ~ (all_4_0 = all_4_3) % 191.14/27.71 (5) sum(n6, n18) = n24 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n24, all_4_0, n18, n6, simplifying with % 191.14/27.71 | (2), (5) gives: % 191.14/27.71 | (7) all_4_0 = n24 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.71 | (1), (3) gives: % 191.14/27.71 | (8) all_4_3 = n24 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #167 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n8, n18) = n0 % 191.14/27.71 (2) sum(n0, n0) = all_4_3 % 191.14/27.71 (3) sum(n8, n18) = all_4_0 % 191.14/27.71 (4) ~ (all_4_0 = all_4_3) % 191.14/27.71 (5) sum(n0, n0) = n0 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2), % 191.14/27.71 | (5) gives: % 191.14/27.71 | (7) all_4_3 = n0 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n0, all_4_0, n18, n8, simplifying with % 191.14/27.71 | (1), (3) gives: % 191.14/27.71 | (8) all_4_0 = n0 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #168 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n1, n1) = all_4_3 % 191.14/27.71 (2) sum(n1, n1) = n2 % 191.14/27.71 (3) ~ (all_4_0 = all_4_3) % 191.14/27.71 (4) sum(n10, n18) = all_4_0 % 191.14/27.71 (5) sum(n10, n18) = n2 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.71 | (2) gives: % 191.14/27.71 | (7) all_4_3 = n2 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n2, all_4_0, n18, n10, simplifying with % 191.14/27.71 | (4), (5) gives: % 191.14/27.71 | (8) all_4_0 = n2 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (3), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #169 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) ~ (all_4_0 = all_4_3) % 191.14/27.71 (2) sum(n12, n18) = all_4_0 % 191.14/27.71 (3) sum(n12, n18) = n4 % 191.14/27.71 (4) sum(n2, n2) = n4 % 191.14/27.71 (5) sum(n2, n2) = all_4_3 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (4), % 191.14/27.71 | (5) gives: % 191.14/27.71 | (7) all_4_3 = n4 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n4, all_4_0, n18, n12, simplifying with % 191.14/27.71 | (2), (3) gives: % 191.14/27.71 | (8) all_4_0 = n4 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #170 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n14, n18) = all_4_0 % 191.14/27.71 (2) sum(n3, n3) = n6 % 191.14/27.71 (3) ~ (all_4_0 = all_4_3) % 191.14/27.71 (4) sum(n3, n3) = all_4_3 % 191.14/27.71 (5) sum(n14, n18) = n6 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (2), % 191.14/27.71 | (4) gives: % 191.14/27.71 | (7) all_4_3 = n6 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n6, all_4_0, n18, n14, simplifying with % 191.14/27.71 | (1), (5) gives: % 191.14/27.71 | (8) all_4_0 = n6 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (3), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #171 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) sum(n16, n18) = all_4_0 % 191.14/27.71 (2) ~ (all_4_0 = all_4_3) % 191.14/27.71 (3) sum(n4, n4) = all_4_3 % 191.14/27.71 (4) sum(n4, n4) = n8 % 191.14/27.71 (5) sum(n16, n18) = n8 % 191.14/27.71 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (3), % 191.14/27.71 | (4) gives: % 191.14/27.71 | (7) all_4_3 = n8 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (6) with n8, all_4_0, n18, n16, simplifying with % 191.14/27.71 | (1), (5) gives: % 191.14/27.71 | (8) all_4_0 = n8 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (2), (7), (8) imply: % 191.14/27.71 | (9) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (9) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #172 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) all_4_2 = n0 % 191.14/27.71 (2) sum(all_4_2, n18) = all_4_0 % 191.14/27.71 (3) ~ (all_4_0 = all_4_3) % 191.14/27.71 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.71 (5) sum(n9, n9) = n18 % 191.14/27.71 (6) all_4_7 = n9 % 191.14/27.71 (7) all_4_4 = n9 % 191.14/27.71 (8) sum(n0, n18) = n18 % 191.14/27.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.71 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.71 % 191.14/27.71 Begin of proof % 191.14/27.71 | % 191.14/27.71 | REDUCE: (1), (2) imply: % 191.14/27.71 | (10) sum(n0, n18) = all_4_0 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (4), (6), (7) imply: % 191.14/27.71 | (11) sum(n9, n9) = all_4_3 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n18, all_4_0, n18, n0, simplifying with % 191.14/27.71 | (8), (10) gives: % 191.14/27.71 | (12) all_4_0 = n18 % 191.14/27.71 | % 191.14/27.71 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.71 | (5), (11) gives: % 191.14/27.71 | (13) all_4_3 = n18 % 191.14/27.71 | % 191.14/27.71 | REDUCE: (3), (12), (13) imply: % 191.14/27.71 | (14) $false % 191.14/27.71 | % 191.14/27.71 | CLOSE: (14) is inconsistent. % 191.14/27.71 | % 191.14/27.71 End of proof % 191.14/27.71 % 191.14/27.71 Sub-proof #173 shows that the following formulas are inconsistent: % 191.14/27.71 ---------------------------------------------------------------- % 191.14/27.71 (1) all_4_2 = n2 % 191.14/27.72 (2) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (3) sum(n10, n10) = n20 % 191.14/27.72 (4) ~ (all_4_0 = all_4_3) % 191.14/27.72 (5) all_4_4 = n10 % 191.14/27.72 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (7) sum(n2, n18) = n20 % 191.14/27.72 (8) all_4_7 = n10 % 191.14/27.72 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (2) imply: % 191.14/27.72 | (10) sum(n2, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (5), (6), (8) imply: % 191.14/27.72 | (11) sum(n10, n10) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n20, all_4_0, n18, n2, simplifying with % 191.14/27.72 | (7), (10) gives: % 191.14/27.72 | (12) all_4_0 = n20 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.72 | (3), (11) gives: % 191.14/27.72 | (13) all_4_3 = n20 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (4), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #174 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (2) ~ (all_4_0 = all_4_3) % 191.14/27.72 (3) sum(n11, n11) = n22 % 191.14/27.72 (4) all_4_4 = n11 % 191.14/27.72 (5) all_4_2 = n4 % 191.14/27.72 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (7) sum(n4, n18) = n22 % 191.14/27.72 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 (9) all_4_7 = n11 % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (5) imply: % 191.14/27.72 | (10) sum(n4, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (4), (6), (9) imply: % 191.14/27.72 | (11) sum(n11, n11) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (8) with n22, all_4_0, n18, n4, simplifying with % 191.14/27.72 | (7), (10) gives: % 191.14/27.72 | (12) all_4_0 = n22 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.72 | (3), (11) gives: % 191.14/27.72 | (13) all_4_3 = n22 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #175 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (2) ~ (all_4_0 = all_4_3) % 191.14/27.72 (3) sum(n6, n18) = n24 % 191.14/27.72 (4) all_4_7 = n12 % 191.14/27.72 (5) all_4_4 = n12 % 191.14/27.72 (6) all_4_2 = n6 % 191.14/27.72 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (8) sum(n12, n12) = n24 % 191.14/27.72 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (6) imply: % 191.14/27.72 | (10) sum(n6, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (4), (5), (7) imply: % 191.14/27.72 | (11) sum(n12, n12) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n24, all_4_0, n18, n6, simplifying with % 191.14/27.72 | (3), (10) gives: % 191.14/27.72 | (12) all_4_0 = n24 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.72 | (8), (11) gives: % 191.14/27.72 | (13) all_4_3 = n24 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #176 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n8, n18) = n0 % 191.14/27.72 (2) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (3) ~ (all_4_0 = all_4_3) % 191.14/27.72 (4) sum(n13, n13) = n0 % 191.14/27.72 (5) all_4_7 = n13 % 191.14/27.72 (6) all_4_4 = n13 % 191.14/27.72 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (8) all_4_2 = n8 % 191.14/27.72 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (8) imply: % 191.14/27.72 | (10) sum(n8, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (5), (6), (7) imply: % 191.14/27.72 | (11) sum(n13, n13) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n0, all_4_0, n18, n8, simplifying with % 191.14/27.72 | (1), (10) gives: % 191.14/27.72 | (12) all_4_0 = n0 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.72 | (4), (11) gives: % 191.14/27.72 | (13) all_4_3 = n0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (3), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #177 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) all_4_2 = n10 % 191.14/27.72 (2) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (3) ~ (all_4_0 = all_4_3) % 191.14/27.72 (4) sum(n14, n14) = n2 % 191.14/27.72 (5) all_4_7 = n14 % 191.14/27.72 (6) sum(n10, n18) = n2 % 191.14/27.72 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (8) all_4_4 = n14 % 191.14/27.72 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (2) imply: % 191.14/27.72 | (10) sum(n10, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (5), (7), (8) imply: % 191.14/27.72 | (11) sum(n14, n14) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n2, all_4_0, n18, n10, simplifying with % 191.14/27.72 | (6), (10) gives: % 191.14/27.72 | (12) all_4_0 = n2 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.72 | (4), (11) gives: % 191.14/27.72 | (13) all_4_3 = n2 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (3), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #178 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n15, n15) = n4 % 191.14/27.72 (2) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (3) all_4_2 = n12 % 191.14/27.72 (4) all_4_7 = n15 % 191.14/27.72 (5) ~ (all_4_0 = all_4_3) % 191.14/27.72 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (7) sum(n12, n18) = n4 % 191.14/27.72 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 (9) all_4_4 = n15 % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (3) imply: % 191.14/27.72 | (10) sum(n12, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (4), (6), (9) imply: % 191.14/27.72 | (11) sum(n15, n15) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (8) with n4, all_4_0, n18, n12, simplifying with % 191.14/27.72 | (7), (10) gives: % 191.14/27.72 | (12) all_4_0 = n4 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.72 | (1), (11) gives: % 191.14/27.72 | (13) all_4_3 = n4 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (5), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #179 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) all_4_2 = n14 % 191.14/27.72 (2) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (3) ~ (all_4_0 = all_4_3) % 191.14/27.72 (4) all_4_7 = n16 % 191.14/27.72 (5) sum(n14, n18) = n6 % 191.14/27.72 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (7) all_4_4 = n16 % 191.14/27.72 (8) sum(n16, n16) = n6 % 191.14/27.72 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (2) imply: % 191.14/27.72 | (10) sum(n14, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (4), (6), (7) imply: % 191.14/27.72 | (11) sum(n16, n16) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n6, all_4_0, n18, n14, simplifying with % 191.14/27.72 | (5), (10) gives: % 191.14/27.72 | (12) all_4_0 = n6 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n6, all_4_3, n16, n16, simplifying with % 191.14/27.72 | (8), (11) gives: % 191.14/27.72 | (13) all_4_3 = n6 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (3), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #180 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(all_4_2, n18) = all_4_0 % 191.14/27.72 (2) ~ (all_4_0 = all_4_3) % 191.14/27.72 (3) sum(n17, n17) = n8 % 191.14/27.72 (4) all_4_4 = n17 % 191.14/27.72 (5) all_4_7 = n17 % 191.14/27.72 (6) all_4_2 = n16 % 191.14/27.72 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.72 (8) sum(n16, n18) = n8 % 191.14/27.72 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (6) imply: % 191.14/27.72 | (10) sum(n16, n18) = all_4_0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (4), (5), (7) imply: % 191.14/27.72 | (11) sum(n17, n17) = all_4_3 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n8, all_4_0, n18, n16, simplifying with % 191.14/27.72 | (8), (10) gives: % 191.14/27.72 | (12) all_4_0 = n8 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (9) with n8, all_4_3, n17, n17, simplifying with % 191.14/27.72 | (3), (11) gives: % 191.14/27.72 | (13) all_4_3 = n8 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (12), (13) imply: % 191.14/27.72 | (14) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (14) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #181 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n22, n22) = all_4_3 % 191.14/27.72 (2) ~ (all_4_0 = all_4_3) % 191.14/27.72 (3) sum(n18, n0) = n18 % 191.14/27.72 (4) sum(n22, n22) = n18 % 191.14/27.72 (5) sum(n18, n0) = all_4_0 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n18, all_4_0, n0, n18, simplifying with % 191.14/27.72 | (3), (5) gives: % 191.14/27.72 | (7) all_4_0 = n18 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.72 | (1), (4) gives: % 191.14/27.72 | (8) all_4_3 = n18 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #182 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) ~ (all_4_0 = all_4_3) % 191.14/27.72 (2) sum(n18, n2) = all_4_0 % 191.14/27.72 (3) sum(n18, n2) = n20 % 191.14/27.72 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 (5) sum(n23, n23) = all_4_3 % 191.14/27.72 (6) sum(n23, n23) = n20 % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (4) with n20, all_4_0, n2, n18, simplifying with % 191.14/27.72 | (2), (3) gives: % 191.14/27.72 | (7) all_4_0 = n20 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.72 | (5), (6) gives: % 191.14/27.72 | (8) all_4_3 = n20 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #183 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n18, n4) = all_4_0 % 191.14/27.72 (2) ~ (all_4_0 = all_4_3) % 191.14/27.72 (3) sum(n18, n4) = n22 % 191.14/27.72 (4) sum(n24, n24) = n22 % 191.14/27.72 (5) sum(n24, n24) = all_4_3 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n22, all_4_0, n4, n18, simplifying with % 191.14/27.72 | (1), (3) gives: % 191.14/27.72 | (7) all_4_0 = n22 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.72 | (4), (5) gives: % 191.14/27.72 | (8) all_4_3 = n22 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #184 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n18, n6) = all_4_0 % 191.14/27.72 (2) sum(n25, n25) = n24 % 191.14/27.72 (3) sum(n18, n6) = n24 % 191.14/27.72 (4) sum(n25, n25) = all_4_3 % 191.14/27.72 (5) ~ (all_4_0 = all_4_3) % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n24, all_4_0, n6, n18, simplifying with % 191.14/27.72 | (1), (3) gives: % 191.14/27.72 | (7) all_4_0 = n24 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.72 | (2), (4) gives: % 191.14/27.72 | (8) all_4_3 = n24 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (5), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #185 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n18, n8) = n0 % 191.14/27.72 (2) sum(n0, n0) = all_4_3 % 191.14/27.72 (3) sum(n18, n8) = all_4_0 % 191.14/27.72 (4) ~ (all_4_0 = all_4_3) % 191.14/27.72 (5) sum(n0, n0) = n0 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2), % 191.14/27.72 | (5) gives: % 191.14/27.72 | (7) all_4_3 = n0 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n0, all_4_0, n8, n18, simplifying with % 191.14/27.72 | (1), (3) gives: % 191.14/27.72 | (8) all_4_0 = n0 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (4), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #186 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n1, n1) = all_4_3 % 191.14/27.72 (2) sum(n1, n1) = n2 % 191.14/27.72 (3) ~ (all_4_0 = all_4_3) % 191.14/27.72 (4) sum(n18, n10) = n2 % 191.14/27.72 (5) sum(n18, n10) = all_4_0 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.72 | (2) gives: % 191.14/27.72 | (7) all_4_3 = n2 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n2, all_4_0, n10, n18, simplifying with % 191.14/27.72 | (4), (5) gives: % 191.14/27.72 | (8) all_4_0 = n2 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (3), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #187 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n18, n12) = n4 % 191.14/27.72 (2) ~ (all_4_0 = all_4_3) % 191.14/27.72 (3) sum(n18, n12) = all_4_0 % 191.14/27.72 (4) sum(n2, n2) = n4 % 191.14/27.72 (5) sum(n2, n2) = all_4_3 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (4), % 191.14/27.72 | (5) gives: % 191.14/27.72 | (7) all_4_3 = n4 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n4, all_4_0, n12, n18, simplifying with % 191.14/27.72 | (1), (3) gives: % 191.14/27.72 | (8) all_4_0 = n4 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #188 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) sum(n3, n3) = n6 % 191.14/27.72 (2) ~ (all_4_0 = all_4_3) % 191.14/27.72 (3) sum(n18, n14) = all_4_0 % 191.14/27.72 (4) sum(n3, n3) = all_4_3 % 191.14/27.72 (5) sum(n18, n14) = n6 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (1), % 191.14/27.72 | (4) gives: % 191.14/27.72 | (7) all_4_3 = n6 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n6, all_4_0, n14, n18, simplifying with % 191.14/27.72 | (3), (5) gives: % 191.14/27.72 | (8) all_4_0 = n6 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (2), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #189 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) ~ (all_4_0 = all_4_3) % 191.14/27.72 (2) sum(n18, n16) = n8 % 191.14/27.72 (3) sum(n18, n16) = all_4_0 % 191.14/27.72 (4) sum(n4, n4) = all_4_3 % 191.14/27.72 (5) sum(n4, n4) = n8 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (4), % 191.14/27.72 | (5) gives: % 191.14/27.72 | (7) all_4_3 = n8 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n8, all_4_0, n16, n18, simplifying with % 191.14/27.72 | (2), (3) gives: % 191.14/27.72 | (8) all_4_0 = n8 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (7), (8) imply: % 191.14/27.72 | (9) $false % 191.14/27.72 | % 191.14/27.72 | CLOSE: (9) is inconsistent. % 191.14/27.72 | % 191.14/27.72 End of proof % 191.14/27.72 % 191.14/27.72 Sub-proof #190 shows that the following formulas are inconsistent: % 191.14/27.72 ---------------------------------------------------------------- % 191.14/27.72 (1) ~ (all_4_0 = all_4_3) % 191.14/27.72 (2) sum(n18, n18) = n10 % 191.14/27.72 (3) sum(n5, n5) = n10 % 191.14/27.72 (4) sum(n18, n18) = all_4_0 % 191.14/27.72 (5) sum(n5, n5) = all_4_3 % 191.14/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.72 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.72 % 191.14/27.72 Begin of proof % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.72 | (3), (5) gives: % 191.14/27.72 | (7) all_4_3 = n10 % 191.14/27.72 | % 191.14/27.72 | GROUND_INST: instantiating (6) with n10, all_4_0, n18, n18, simplifying with % 191.14/27.72 | (2), (4) gives: % 191.14/27.72 | (8) all_4_0 = n10 % 191.14/27.72 | % 191.14/27.72 | REDUCE: (1), (7), (8) imply: % 191.14/27.73 | (9) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (9) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #191 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (2) ~ (all_4_0 = all_4_3) % 191.14/27.73 (3) sum(n18, n0) = n18 % 191.14/27.73 (4) all_4_1 = n0 % 191.14/27.73 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (6) sum(n9, n9) = n18 % 191.14/27.73 (7) all_4_7 = n9 % 191.14/27.73 (8) all_4_4 = n9 % 191.14/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (5), (7), (8) imply: % 191.14/27.73 | (10) sum(n9, n9) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (4) imply: % 191.14/27.73 | (11) sum(n18, n0) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.73 | (6), (10) gives: % 191.14/27.73 | (12) all_4_3 = n18 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n18, all_4_0, n0, n18, simplifying with % 191.14/27.73 | (3), (11) gives: % 191.14/27.73 | (13) all_4_0 = n18 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (2), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #192 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (2) sum(n10, n10) = n20 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) sum(n18, n2) = n20 % 191.14/27.73 (5) all_4_4 = n10 % 191.14/27.73 (6) all_4_1 = n2 % 191.14/27.73 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (8) all_4_7 = n10 % 191.14/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (5), (7), (8) imply: % 191.14/27.73 | (10) sum(n10, n10) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (6) imply: % 191.14/27.73 | (11) sum(n18, n2) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.73 | (2), (10) gives: % 191.14/27.73 | (12) all_4_3 = n20 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n20, all_4_0, n2, n18, simplifying with % 191.14/27.73 | (4), (11) gives: % 191.14/27.73 | (13) all_4_0 = n20 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #193 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (2) ~ (all_4_0 = all_4_3) % 191.14/27.73 (3) all_4_1 = n4 % 191.14/27.73 (4) sum(n18, n4) = n22 % 191.14/27.73 (5) sum(n11, n11) = n22 % 191.14/27.73 (6) all_4_4 = n11 % 191.14/27.73 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 (9) all_4_7 = n11 % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (6), (7), (9) imply: % 191.14/27.73 | (10) sum(n11, n11) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (3) imply: % 191.14/27.73 | (11) sum(n18, n4) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.73 | (5), (10) gives: % 191.14/27.73 | (12) all_4_3 = n22 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (8) with n22, all_4_0, n4, n18, simplifying with % 191.14/27.73 | (4), (11) gives: % 191.14/27.73 | (13) all_4_0 = n22 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (2), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #194 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) all_4_1 = n6 % 191.14/27.73 (2) sum(n18, n6) = n24 % 191.14/27.73 (3) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (4) ~ (all_4_0 = all_4_3) % 191.14/27.73 (5) all_4_7 = n12 % 191.14/27.73 (6) all_4_4 = n12 % 191.14/27.73 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (8) sum(n12, n12) = n24 % 191.14/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (5), (6), (7) imply: % 191.14/27.73 | (10) sum(n12, n12) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (3) imply: % 191.14/27.73 | (11) sum(n18, n6) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.73 | (8), (10) gives: % 191.14/27.73 | (12) all_4_3 = n24 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n24, all_4_0, n6, n18, simplifying with % 191.14/27.73 | (2), (11) gives: % 191.14/27.73 | (13) all_4_0 = n24 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (4), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #195 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) all_4_1 = n8 % 191.14/27.73 (2) sum(n18, n8) = n0 % 191.14/27.73 (3) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (4) ~ (all_4_0 = all_4_3) % 191.14/27.73 (5) sum(n13, n13) = n0 % 191.14/27.73 (6) all_4_7 = n13 % 191.14/27.73 (7) all_4_4 = n13 % 191.14/27.73 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (6), (7), (8) imply: % 191.14/27.73 | (10) sum(n13, n13) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (3) imply: % 191.14/27.73 | (11) sum(n18, n8) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.73 | (5), (10) gives: % 191.14/27.73 | (12) all_4_3 = n0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n0, all_4_0, n8, n18, simplifying with % 191.14/27.73 | (2), (11) gives: % 191.14/27.73 | (13) all_4_0 = n0 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (4), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #196 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (2) all_4_1 = n10 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) sum(n14, n14) = n2 % 191.14/27.73 (5) all_4_7 = n14 % 191.14/27.73 (6) sum(n18, n10) = n2 % 191.14/27.73 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (8) all_4_4 = n14 % 191.14/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (5), (7), (8) imply: % 191.14/27.73 | (10) sum(n14, n14) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (2) imply: % 191.14/27.73 | (11) sum(n18, n10) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.73 | (4), (10) gives: % 191.14/27.73 | (12) all_4_3 = n2 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n2, all_4_0, n10, n18, simplifying with % 191.14/27.73 | (6), (11) gives: % 191.14/27.73 | (13) all_4_0 = n2 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #197 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n15, n15) = n4 % 191.14/27.73 (2) sum(n18, n12) = n4 % 191.14/27.73 (3) all_4_7 = n15 % 191.14/27.73 (4) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (5) ~ (all_4_0 = all_4_3) % 191.14/27.73 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (7) all_4_1 = n12 % 191.14/27.73 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 (9) all_4_4 = n15 % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (6), (9) imply: % 191.14/27.73 | (10) sum(n15, n15) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (4), (7) imply: % 191.14/27.73 | (11) sum(n18, n12) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.73 | (1), (10) gives: % 191.14/27.73 | (12) all_4_3 = n4 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (8) with n4, all_4_0, n12, n18, simplifying with % 191.14/27.73 | (2), (11) gives: % 191.14/27.73 | (13) all_4_0 = n4 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (5), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #198 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) all_4_1 = n14 % 191.14/27.73 (2) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) all_4_7 = n16 % 191.14/27.73 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (6) sum(n18, n14) = n6 % 191.14/27.73 (7) all_4_4 = n16 % 191.14/27.73 (8) sum(n16, n16) = n6 % 191.14/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (4), (5), (7) imply: % 191.14/27.73 | (10) sum(n16, n16) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (2) imply: % 191.14/27.73 | (11) sum(n18, n14) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n6, all_4_3, n16, n16, simplifying with % 191.14/27.73 | (8), (10) gives: % 191.14/27.73 | (12) all_4_3 = n6 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n6, all_4_0, n14, n18, simplifying with % 191.14/27.73 | (6), (11) gives: % 191.14/27.73 | (13) all_4_0 = n6 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #199 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) all_4_1 = n16 % 191.14/27.73 (2) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) sum(n17, n17) = n8 % 191.14/27.73 (5) all_4_4 = n17 % 191.14/27.73 (6) all_4_7 = n17 % 191.14/27.73 (7) sum(n18, n16) = n8 % 191.14/27.73 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | REDUCE: (5), (6), (8) imply: % 191.14/27.73 | (10) sum(n17, n17) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (2) imply: % 191.14/27.73 | (11) sum(n18, n16) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n8, all_4_3, n17, n17, simplifying with % 191.14/27.73 | (4), (10) gives: % 191.14/27.73 | (12) all_4_3 = n8 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (9) with n8, all_4_0, n16, n18, simplifying with % 191.14/27.73 | (7), (11) gives: % 191.14/27.73 | (13) all_4_0 = n8 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (12), (13) imply: % 191.14/27.73 | (14) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (14) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #200 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n18, all_4_1) = all_4_0 % 191.14/27.73 (2) all_4_1 = all_4_7 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) sum(n18, n18) = n10 % 191.14/27.73 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.73 (6) all_4_4 = n18 % 191.14/27.73 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 (8) all_4_1 = all_4_4 % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | COMBINE_EQS: (2), (8) imply: % 191.14/27.73 | (9) all_4_4 = all_4_7 % 191.14/27.73 | % 191.14/27.73 | SIMP: (9) implies: % 191.14/27.73 | (10) all_4_4 = all_4_7 % 191.14/27.73 | % 191.14/27.73 | COMBINE_EQS: (6), (10) imply: % 191.14/27.73 | (11) all_4_7 = n18 % 191.14/27.73 | % 191.14/27.73 | COMBINE_EQS: (2), (11) imply: % 191.14/27.73 | (12) all_4_1 = n18 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (5), (6), (11) imply: % 191.14/27.73 | (13) sum(n18, n18) = all_4_3 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (12) imply: % 191.14/27.73 | (14) sum(n18, n18) = all_4_0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (7) with n10, all_4_0, n18, n18, simplifying with % 191.14/27.73 | (4), (14) gives: % 191.14/27.73 | (15) all_4_0 = n10 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n18, n18, simplifying % 191.14/27.73 | with (13), (14) gives: % 191.14/27.73 | (16) all_4_0 = all_4_3 % 191.14/27.73 | % 191.14/27.73 | COMBINE_EQS: (15), (16) imply: % 191.14/27.73 | (17) all_4_3 = n10 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (15), (17) imply: % 191.14/27.73 | (18) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (18) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #201 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) ~ (all_4_0 = all_4_3) % 191.14/27.73 (2) sum(n0, n20) = n20 % 191.14/27.73 (3) sum(n0, n20) = all_4_0 % 191.14/27.73 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 (5) sum(n23, n23) = all_4_3 % 191.14/27.73 (6) sum(n23, n23) = n20 % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (4) with n20, all_4_0, n20, n0, simplifying with % 191.14/27.73 | (2), (3) gives: % 191.14/27.73 | (7) all_4_0 = n20 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.73 | (5), (6) gives: % 191.14/27.73 | (8) all_4_3 = n20 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (7), (8) imply: % 191.14/27.73 | (9) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (9) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #202 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n2, n20) = n22 % 191.14/27.73 (2) ~ (all_4_0 = all_4_3) % 191.14/27.73 (3) sum(n2, n20) = all_4_0 % 191.14/27.73 (4) sum(n24, n24) = n22 % 191.14/27.73 (5) sum(n24, n24) = all_4_3 % 191.14/27.73 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n22, all_4_0, n20, n2, simplifying with % 191.14/27.73 | (1), (3) gives: % 191.14/27.73 | (7) all_4_0 = n22 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.73 | (4), (5) gives: % 191.14/27.73 | (8) all_4_3 = n22 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (2), (7), (8) imply: % 191.14/27.73 | (9) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (9) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #203 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n25, n25) = n24 % 191.14/27.73 (2) sum(n25, n25) = all_4_3 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) sum(n4, n20) = all_4_0 % 191.14/27.73 (5) sum(n4, n20) = n24 % 191.14/27.73 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n24, all_4_0, n20, n4, simplifying with % 191.14/27.73 | (4), (5) gives: % 191.14/27.73 | (7) all_4_0 = n24 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.73 | (1), (2) gives: % 191.14/27.73 | (8) all_4_3 = n24 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (7), (8) imply: % 191.14/27.73 | (9) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (9) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #204 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n0, n0) = all_4_3 % 191.14/27.73 (2) sum(n6, n20) = all_4_0 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) sum(n0, n0) = n0 % 191.14/27.73 (5) sum(n6, n20) = n0 % 191.14/27.73 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (1), % 191.14/27.73 | (4) gives: % 191.14/27.73 | (7) all_4_3 = n0 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n0, all_4_0, n20, n6, simplifying with % 191.14/27.73 | (2), (5) gives: % 191.14/27.73 | (8) all_4_0 = n0 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (3), (7), (8) imply: % 191.14/27.73 | (9) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (9) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #205 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n8, n20) = n2 % 191.14/27.73 (2) sum(n1, n1) = all_4_3 % 191.14/27.73 (3) sum(n1, n1) = n2 % 191.14/27.73 (4) ~ (all_4_0 = all_4_3) % 191.14/27.73 (5) sum(n8, n20) = all_4_0 % 191.14/27.73 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (2), % 191.14/27.73 | (3) gives: % 191.14/27.73 | (7) all_4_3 = n2 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n2, all_4_0, n20, n8, simplifying with % 191.14/27.73 | (1), (5) gives: % 191.14/27.73 | (8) all_4_0 = n2 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (4), (7), (8) imply: % 191.14/27.73 | (9) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (9) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #206 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) ~ (all_4_0 = all_4_3) % 191.14/27.73 (2) sum(n10, n20) = all_4_0 % 191.14/27.73 (3) sum(n10, n20) = n4 % 191.14/27.73 (4) sum(n2, n2) = n4 % 191.14/27.73 (5) sum(n2, n2) = all_4_3 % 191.14/27.73 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (4), % 191.14/27.73 | (5) gives: % 191.14/27.73 | (7) all_4_3 = n4 % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n4, all_4_0, n20, n10, simplifying with % 191.14/27.73 | (2), (3) gives: % 191.14/27.73 | (8) all_4_0 = n4 % 191.14/27.73 | % 191.14/27.73 | REDUCE: (1), (7), (8) imply: % 191.14/27.73 | (9) $false % 191.14/27.73 | % 191.14/27.73 | CLOSE: (9) is inconsistent. % 191.14/27.73 | % 191.14/27.73 End of proof % 191.14/27.73 % 191.14/27.73 Sub-proof #207 shows that the following formulas are inconsistent: % 191.14/27.73 ---------------------------------------------------------------- % 191.14/27.73 (1) sum(n12, n20) = all_4_0 % 191.14/27.73 (2) sum(n3, n3) = n6 % 191.14/27.73 (3) ~ (all_4_0 = all_4_3) % 191.14/27.73 (4) sum(n12, n20) = n6 % 191.14/27.73 (5) sum(n3, n3) = all_4_3 % 191.14/27.73 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.73 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.73 % 191.14/27.73 Begin of proof % 191.14/27.73 | % 191.14/27.73 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (2), % 191.14/27.74 | (5) gives: % 191.14/27.74 | (7) all_4_3 = n6 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n6, all_4_0, n20, n12, simplifying with % 191.14/27.74 | (1), (4) gives: % 191.14/27.74 | (8) all_4_0 = n6 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #208 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) ~ (all_4_0 = all_4_3) % 191.14/27.74 (2) sum(n14, n20) = all_4_0 % 191.14/27.74 (3) sum(n4, n4) = all_4_3 % 191.14/27.74 (4) sum(n4, n4) = n8 % 191.14/27.74 (5) sum(n14, n20) = n8 % 191.14/27.74 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (3), % 191.14/27.74 | (4) gives: % 191.14/27.74 | (7) all_4_3 = n8 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n8, all_4_0, n20, n14, simplifying with % 191.14/27.74 | (2), (5) gives: % 191.14/27.74 | (8) all_4_0 = n8 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #209 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) ~ (all_4_0 = all_4_3) % 191.14/27.74 (2) sum(n5, n5) = n10 % 191.14/27.74 (3) sum(n5, n5) = all_4_3 % 191.14/27.74 (4) sum(n16, n20) = all_4_0 % 191.14/27.74 (5) sum(n16, n20) = n10 % 191.14/27.74 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.74 | (2), (3) gives: % 191.14/27.74 | (7) all_4_3 = n10 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n10, all_4_0, n20, n16, simplifying with % 191.14/27.74 | (4), (5) gives: % 191.14/27.74 | (8) all_4_0 = n10 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #210 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) sum(n6, n6) = all_4_3 % 191.14/27.74 (2) ~ (all_4_0 = all_4_3) % 191.14/27.74 (3) sum(n6, n6) = n12 % 191.14/27.74 (4) sum(n18, n20) = n12 % 191.14/27.74 (5) sum(n18, n20) = all_4_0 % 191.14/27.74 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.74 | (1), (3) gives: % 191.14/27.74 | (7) all_4_3 = n12 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n12, all_4_0, n20, n18, simplifying with % 191.14/27.74 | (4), (5) gives: % 191.14/27.74 | (8) all_4_0 = n12 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (2), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #211 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) all_4_2 = n0 % 191.14/27.74 (2) sum(n10, n10) = n20 % 191.14/27.74 (3) ~ (all_4_0 = all_4_3) % 191.14/27.74 (4) sum(n0, n20) = n20 % 191.14/27.74 (5) all_4_4 = n10 % 191.14/27.74 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (7) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (8) all_4_7 = n10 % 191.14/27.74 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (7) imply: % 191.14/27.74 | (10) sum(n0, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (5), (6), (8) imply: % 191.14/27.74 | (11) sum(n10, n10) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n20, all_4_0, n20, n0, simplifying with % 191.14/27.74 | (4), (10) gives: % 191.14/27.74 | (12) all_4_0 = n20 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.74 | (2), (11) gives: % 191.14/27.74 | (13) all_4_3 = n20 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #212 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) sum(n2, n20) = n22 % 191.14/27.74 (2) all_4_2 = n2 % 191.14/27.74 (3) ~ (all_4_0 = all_4_3) % 191.14/27.74 (4) sum(n11, n11) = n22 % 191.14/27.74 (5) all_4_4 = n11 % 191.14/27.74 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (7) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 (9) all_4_7 = n11 % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (2), (7) imply: % 191.14/27.74 | (10) sum(n2, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (5), (6), (9) imply: % 191.14/27.74 | (11) sum(n11, n11) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (8) with n22, all_4_0, n20, n2, simplifying with % 191.14/27.74 | (1), (10) gives: % 191.14/27.74 | (12) all_4_0 = n22 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.74 | (4), (11) gives: % 191.14/27.74 | (13) all_4_3 = n22 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #213 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) ~ (all_4_0 = all_4_3) % 191.14/27.74 (2) all_4_7 = n12 % 191.14/27.74 (3) all_4_4 = n12 % 191.14/27.74 (4) sum(n4, n20) = n24 % 191.14/27.74 (5) all_4_2 = n4 % 191.14/27.74 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (7) sum(n12, n12) = n24 % 191.14/27.74 (8) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (5), (8) imply: % 191.14/27.74 | (10) sum(n4, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (2), (3), (6) imply: % 191.14/27.74 | (11) sum(n12, n12) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n24, all_4_0, n20, n4, simplifying with % 191.14/27.74 | (4), (10) gives: % 191.14/27.74 | (12) all_4_0 = n24 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.74 | (7), (11) gives: % 191.14/27.74 | (13) all_4_3 = n24 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #214 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) ~ (all_4_0 = all_4_3) % 191.14/27.74 (2) sum(n13, n13) = n0 % 191.14/27.74 (3) all_4_7 = n13 % 191.14/27.74 (4) all_4_4 = n13 % 191.14/27.74 (5) all_4_2 = n6 % 191.14/27.74 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (7) sum(n6, n20) = n0 % 191.14/27.74 (8) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (5), (8) imply: % 191.14/27.74 | (10) sum(n6, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (4), (6) imply: % 191.14/27.74 | (11) sum(n13, n13) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n0, all_4_0, n20, n6, simplifying with % 191.14/27.74 | (7), (10) gives: % 191.14/27.74 | (12) all_4_0 = n0 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.74 | (2), (11) gives: % 191.14/27.74 | (13) all_4_3 = n0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #215 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) sum(n8, n20) = n2 % 191.14/27.74 (2) ~ (all_4_0 = all_4_3) % 191.14/27.74 (3) sum(n14, n14) = n2 % 191.14/27.74 (4) all_4_7 = n14 % 191.14/27.74 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (6) all_4_4 = n14 % 191.14/27.74 (7) all_4_2 = n8 % 191.14/27.74 (8) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (7), (8) imply: % 191.14/27.74 | (10) sum(n8, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (4), (5), (6) imply: % 191.14/27.74 | (11) sum(n14, n14) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n2, all_4_0, n20, n8, simplifying with % 191.14/27.74 | (1), (10) gives: % 191.14/27.74 | (12) all_4_0 = n2 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.74 | (3), (11) gives: % 191.14/27.74 | (13) all_4_3 = n2 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (2), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #216 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) all_4_2 = n10 % 191.14/27.74 (2) sum(n15, n15) = n4 % 191.14/27.74 (3) all_4_7 = n15 % 191.14/27.74 (4) ~ (all_4_0 = all_4_3) % 191.14/27.74 (5) sum(n10, n20) = n4 % 191.14/27.74 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (7) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 (9) all_4_4 = n15 % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (7) imply: % 191.14/27.74 | (10) sum(n10, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (6), (9) imply: % 191.14/27.74 | (11) sum(n15, n15) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (8) with n4, all_4_0, n20, n10, simplifying with % 191.14/27.74 | (5), (10) gives: % 191.14/27.74 | (12) all_4_0 = n4 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.74 | (2), (11) gives: % 191.14/27.74 | (13) all_4_3 = n4 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (4), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #217 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) all_4_2 = n12 % 191.14/27.74 (2) ~ (all_4_0 = all_4_3) % 191.14/27.74 (3) sum(n12, n20) = n6 % 191.14/27.74 (4) all_4_7 = n16 % 191.14/27.74 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (6) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (7) all_4_4 = n16 % 191.14/27.74 (8) sum(n16, n16) = n6 % 191.14/27.74 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (6) imply: % 191.14/27.74 | (10) sum(n12, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (4), (5), (7) imply: % 191.14/27.74 | (11) sum(n16, n16) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n6, all_4_0, n20, n12, simplifying with % 191.14/27.74 | (3), (10) gives: % 191.14/27.74 | (12) all_4_0 = n6 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n6, all_4_3, n16, n16, simplifying with % 191.14/27.74 | (8), (11) gives: % 191.14/27.74 | (13) all_4_3 = n6 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (2), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #218 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) all_4_2 = n14 % 191.14/27.74 (2) ~ (all_4_0 = all_4_3) % 191.14/27.74 (3) sum(n17, n17) = n8 % 191.14/27.74 (4) all_4_4 = n17 % 191.14/27.74 (5) all_4_7 = n17 % 191.14/27.74 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (7) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (8) sum(n14, n20) = n8 % 191.14/27.74 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (7) imply: % 191.14/27.74 | (10) sum(n14, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (4), (5), (6) imply: % 191.14/27.74 | (11) sum(n17, n17) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n8, all_4_0, n20, n14, simplifying with % 191.14/27.74 | (8), (10) gives: % 191.14/27.74 | (12) all_4_0 = n8 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n8, all_4_3, n17, n17, simplifying with % 191.14/27.74 | (3), (11) gives: % 191.14/27.74 | (13) all_4_3 = n8 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (2), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #219 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) ~ (all_4_0 = all_4_3) % 191.14/27.74 (2) sum(n18, n18) = n10 % 191.14/27.74 (3) all_4_2 = n16 % 191.14/27.74 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (5) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (6) sum(n16, n20) = n10 % 191.14/27.74 (7) all_4_4 = n18 % 191.14/27.74 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 (9) all_4_7 = n18 % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (5) imply: % 191.14/27.74 | (10) sum(n16, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (4), (7), (9) imply: % 191.14/27.74 | (11) sum(n18, n18) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (8) with n10, all_4_0, n20, n16, simplifying with % 191.14/27.74 | (6), (10) gives: % 191.14/27.74 | (12) all_4_0 = n10 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (8) with n10, all_4_3, n18, n18, simplifying with % 191.14/27.74 | (2), (11) gives: % 191.14/27.74 | (13) all_4_3 = n10 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #220 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) ~ (all_4_0 = all_4_3) % 191.14/27.74 (2) sum(n19, n19) = n12 % 191.14/27.74 (3) all_4_4 = n19 % 191.14/27.74 (4) sum(n18, n20) = n12 % 191.14/27.74 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.74 (6) all_4_7 = n19 % 191.14/27.74 (7) sum(all_4_2, n20) = all_4_0 % 191.14/27.74 (8) all_4_2 = n18 % 191.14/27.74 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | REDUCE: (7), (8) imply: % 191.14/27.74 | (10) sum(n18, n20) = all_4_0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (5), (6) imply: % 191.14/27.74 | (11) sum(n19, n19) = all_4_3 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n12, all_4_0, n20, n18, simplifying with % 191.14/27.74 | (4), (10) gives: % 191.14/27.74 | (12) all_4_0 = n12 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (9) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.74 | (2), (11) gives: % 191.14/27.74 | (13) all_4_3 = n12 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (12), (13) imply: % 191.14/27.74 | (14) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (14) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #221 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) ~ (all_4_0 = all_4_3) % 191.14/27.74 (2) sum(n20, n0) = n20 % 191.14/27.74 (3) sum(n20, n0) = all_4_0 % 191.14/27.74 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 (5) sum(n23, n23) = all_4_3 % 191.14/27.74 (6) sum(n23, n23) = n20 % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (4) with n20, all_4_0, n0, n20, simplifying with % 191.14/27.74 | (2), (3) gives: % 191.14/27.74 | (7) all_4_0 = n20 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (4) with n20, all_4_3, n23, n23, simplifying with % 191.14/27.74 | (5), (6) gives: % 191.14/27.74 | (8) all_4_3 = n20 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (1), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #222 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) sum(n20, n2) = all_4_0 % 191.14/27.74 (2) sum(n20, n2) = n22 % 191.14/27.74 (3) ~ (all_4_0 = all_4_3) % 191.14/27.74 (4) sum(n24, n24) = n22 % 191.14/27.74 (5) sum(n24, n24) = all_4_3 % 191.14/27.74 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n22, all_4_0, n2, n20, simplifying with % 191.14/27.74 | (1), (2) gives: % 191.14/27.74 | (7) all_4_0 = n22 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.74 | (4), (5) gives: % 191.14/27.74 | (8) all_4_3 = n22 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #223 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) sum(n25, n25) = n24 % 191.14/27.74 (2) sum(n25, n25) = all_4_3 % 191.14/27.74 (3) ~ (all_4_0 = all_4_3) % 191.14/27.74 (4) sum(n20, n4) = n24 % 191.14/27.74 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 (6) sum(n20, n4) = all_4_0 % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (5) with n24, all_4_0, n4, n20, simplifying with % 191.14/27.74 | (4), (6) gives: % 191.14/27.74 | (7) all_4_0 = n24 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (5) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.74 | (1), (2) gives: % 191.14/27.74 | (8) all_4_3 = n24 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (3), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #224 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) sum(n0, n0) = all_4_3 % 191.14/27.74 (2) ~ (all_4_0 = all_4_3) % 191.14/27.74 (3) sum(n0, n0) = n0 % 191.14/27.74 (4) sum(n20, n6) = n0 % 191.14/27.74 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 (6) sum(n20, n6) = all_4_0 % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (5) with n0, all_4_3, n0, n0, simplifying with (1), % 191.14/27.74 | (3) gives: % 191.14/27.74 | (7) all_4_3 = n0 % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (5) with n0, all_4_0, n6, n20, simplifying with % 191.14/27.74 | (4), (6) gives: % 191.14/27.74 | (8) all_4_0 = n0 % 191.14/27.74 | % 191.14/27.74 | REDUCE: (2), (7), (8) imply: % 191.14/27.74 | (9) $false % 191.14/27.74 | % 191.14/27.74 | CLOSE: (9) is inconsistent. % 191.14/27.74 | % 191.14/27.74 End of proof % 191.14/27.74 % 191.14/27.74 Sub-proof #225 shows that the following formulas are inconsistent: % 191.14/27.74 ---------------------------------------------------------------- % 191.14/27.74 (1) sum(n1, n1) = all_4_3 % 191.14/27.74 (2) sum(n20, n8) = all_4_0 % 191.14/27.74 (3) sum(n1, n1) = n2 % 191.14/27.74 (4) ~ (all_4_0 = all_4_3) % 191.14/27.74 (5) sum(n20, n8) = n2 % 191.14/27.74 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.74 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.74 % 191.14/27.74 Begin of proof % 191.14/27.74 | % 191.14/27.74 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.74 | (3) gives: % 191.14/27.74 | (7) all_4_3 = n2 % 191.14/27.74 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n2, all_4_0, n8, n20, simplifying with % 191.14/27.75 | (2), (5) gives: % 191.14/27.75 | (8) all_4_0 = n2 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (4), (7), (8) imply: % 191.14/27.75 | (9) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (9) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #226 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n20, n10) = all_4_0 % 191.14/27.75 (2) sum(n20, n10) = n4 % 191.14/27.75 (3) ~ (all_4_0 = all_4_3) % 191.14/27.75 (4) sum(n2, n2) = n4 % 191.14/27.75 (5) sum(n2, n2) = all_4_3 % 191.14/27.75 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (4), % 191.14/27.75 | (5) gives: % 191.14/27.75 | (7) all_4_3 = n4 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n4, all_4_0, n10, n20, simplifying with % 191.14/27.75 | (1), (2) gives: % 191.14/27.75 | (8) all_4_0 = n4 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (3), (7), (8) imply: % 191.14/27.75 | (9) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (9) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #227 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n3, n3) = n6 % 191.14/27.75 (2) sum(n20, n12) = n6 % 191.14/27.75 (3) ~ (all_4_0 = all_4_3) % 191.14/27.75 (4) sum(n3, n3) = all_4_3 % 191.14/27.75 (5) sum(n20, n12) = all_4_0 % 191.14/27.75 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (1), % 191.14/27.75 | (4) gives: % 191.14/27.75 | (7) all_4_3 = n6 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n6, all_4_0, n12, n20, simplifying with % 191.14/27.75 | (2), (5) gives: % 191.14/27.75 | (8) all_4_0 = n6 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (3), (7), (8) imply: % 191.14/27.75 | (9) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (9) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #228 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n20, n14) = all_4_0 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n4, n4) = all_4_3 % 191.14/27.75 (4) sum(n4, n4) = n8 % 191.14/27.75 (5) sum(n20, n14) = n8 % 191.14/27.75 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (3), % 191.14/27.75 | (4) gives: % 191.14/27.75 | (7) all_4_3 = n8 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n8, all_4_0, n14, n20, simplifying with % 191.14/27.75 | (1), (5) gives: % 191.14/27.75 | (8) all_4_0 = n8 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (7), (8) imply: % 191.14/27.75 | (9) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (9) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #229 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n20, n16) = all_4_0 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n5, n5) = n10 % 191.14/27.75 (4) sum(n20, n16) = n10 % 191.14/27.75 (5) sum(n5, n5) = all_4_3 % 191.14/27.75 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.75 | (3), (5) gives: % 191.14/27.75 | (7) all_4_3 = n10 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n10, all_4_0, n16, n20, simplifying with % 191.14/27.75 | (1), (4) gives: % 191.14/27.75 | (8) all_4_0 = n10 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (7), (8) imply: % 191.14/27.75 | (9) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (9) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #230 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n6, n6) = all_4_3 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n6, n6) = n12 % 191.14/27.75 (4) sum(n20, n18) = all_4_0 % 191.14/27.75 (5) sum(n20, n18) = n12 % 191.14/27.75 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.75 | (1), (3) gives: % 191.14/27.75 | (7) all_4_3 = n12 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n12, all_4_0, n18, n20, simplifying with % 191.14/27.75 | (4), (5) gives: % 191.14/27.75 | (8) all_4_0 = n12 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (7), (8) imply: % 191.14/27.75 | (9) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (9) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #231 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n7, n7) = n14 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, n20) = all_4_0 % 191.14/27.75 (4) sum(n7, n7) = all_4_3 % 191.14/27.75 (5) sum(n20, n20) = n14 % 191.14/27.75 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.75 | (1), (4) gives: % 191.14/27.75 | (7) all_4_3 = n14 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (6) with n14, all_4_0, n20, n20, simplifying with % 191.14/27.75 | (3), (5) gives: % 191.14/27.75 | (8) all_4_0 = n14 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (7), (8) imply: % 191.14/27.75 | (9) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (9) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #232 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n10, n10) = n20 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) all_4_1 = n0 % 191.14/27.75 (5) all_4_4 = n10 % 191.14/27.75 (6) sum(n20, n0) = n20 % 191.14/27.75 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (8) all_4_7 = n10 % 191.14/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (7), (8) imply: % 191.14/27.75 | (10) sum(n10, n10) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (3), (4) imply: % 191.14/27.75 | (11) sum(n20, n0) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.75 | (1), (10) gives: % 191.14/27.75 | (12) all_4_3 = n20 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n20, all_4_0, n0, n20, simplifying with % 191.14/27.75 | (6), (11) gives: % 191.14/27.75 | (13) all_4_0 = n20 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #233 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n20, n2) = n22 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) sum(n11, n11) = n22 % 191.14/27.75 (5) all_4_4 = n11 % 191.14/27.75 (6) all_4_1 = n2 % 191.14/27.75 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 (9) all_4_7 = n11 % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (7), (9) imply: % 191.14/27.75 | (10) sum(n11, n11) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (3), (6) imply: % 191.14/27.75 | (11) sum(n20, n2) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.75 | (4), (10) gives: % 191.14/27.75 | (12) all_4_3 = n22 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (8) with n22, all_4_0, n2, n20, simplifying with % 191.14/27.75 | (1), (11) gives: % 191.14/27.75 | (13) all_4_0 = n22 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #234 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) ~ (all_4_0 = all_4_3) % 191.14/27.75 (2) all_4_1 = n4 % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) all_4_7 = n12 % 191.14/27.75 (5) all_4_4 = n12 % 191.14/27.75 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (7) sum(n12, n12) = n24 % 191.14/27.75 (8) sum(n20, n4) = n24 % 191.14/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (4), (5), (6) imply: % 191.14/27.75 | (10) sum(n12, n12) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (3) imply: % 191.14/27.75 | (11) sum(n20, n4) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.75 | (7), (10) gives: % 191.14/27.75 | (12) all_4_3 = n24 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n24, all_4_0, n4, n20, simplifying with % 191.14/27.75 | (8), (11) gives: % 191.14/27.75 | (13) all_4_0 = n24 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (1), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #235 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) all_4_1 = n6 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n13, n13) = n0 % 191.14/27.75 (4) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (5) all_4_7 = n13 % 191.14/27.75 (6) all_4_4 = n13 % 191.14/27.75 (7) sum(n20, n6) = n0 % 191.14/27.75 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (6), (8) imply: % 191.14/27.75 | (10) sum(n13, n13) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (1), (4) imply: % 191.14/27.75 | (11) sum(n20, n6) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.75 | (3), (10) gives: % 191.14/27.75 | (12) all_4_3 = n0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n0, all_4_0, n6, n20, simplifying with % 191.14/27.75 | (7), (11) gives: % 191.14/27.75 | (13) all_4_0 = n0 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #236 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) all_4_1 = n8 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) sum(n14, n14) = n2 % 191.14/27.75 (5) all_4_7 = n14 % 191.14/27.75 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (7) all_4_4 = n14 % 191.14/27.75 (8) sum(n20, n8) = n2 % 191.14/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (6), (7) imply: % 191.14/27.75 | (10) sum(n14, n14) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (1), (3) imply: % 191.14/27.75 | (11) sum(n20, n8) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.75 | (4), (10) gives: % 191.14/27.75 | (12) all_4_3 = n2 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n2, all_4_0, n8, n20, simplifying with % 191.14/27.75 | (8), (11) gives: % 191.14/27.75 | (13) all_4_0 = n2 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #237 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n20, n10) = n4 % 191.14/27.75 (2) sum(n15, n15) = n4 % 191.14/27.75 (3) all_4_7 = n15 % 191.14/27.75 (4) all_4_1 = n10 % 191.14/27.75 (5) ~ (all_4_0 = all_4_3) % 191.14/27.75 (6) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 (9) all_4_4 = n15 % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (3), (7), (9) imply: % 191.14/27.75 | (10) sum(n15, n15) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (4), (6) imply: % 191.14/27.75 | (11) sum(n20, n10) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.75 | (2), (10) gives: % 191.14/27.75 | (12) all_4_3 = n4 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (8) with n4, all_4_0, n10, n20, simplifying with % 191.14/27.75 | (1), (11) gives: % 191.14/27.75 | (13) all_4_0 = n4 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #238 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) sum(n20, n12) = n6 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) all_4_7 = n16 % 191.14/27.75 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (6) all_4_1 = n12 % 191.14/27.75 (7) all_4_4 = n16 % 191.14/27.75 (8) sum(n16, n16) = n6 % 191.14/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (4), (5), (7) imply: % 191.14/27.75 | (10) sum(n16, n16) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (3), (6) imply: % 191.14/27.75 | (11) sum(n20, n12) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n6, all_4_3, n16, n16, simplifying with % 191.14/27.75 | (8), (10) gives: % 191.14/27.75 | (12) all_4_3 = n6 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n6, all_4_0, n12, n20, simplifying with % 191.14/27.75 | (1), (11) gives: % 191.14/27.75 | (13) all_4_0 = n6 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #239 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) all_4_1 = n14 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) sum(n17, n17) = n8 % 191.14/27.75 (5) all_4_4 = n17 % 191.14/27.75 (6) all_4_7 = n17 % 191.14/27.75 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (8) sum(n20, n14) = n8 % 191.14/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (6), (7) imply: % 191.14/27.75 | (10) sum(n17, n17) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (1), (3) imply: % 191.14/27.75 | (11) sum(n20, n14) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n8, all_4_3, n17, n17, simplifying with % 191.14/27.75 | (4), (10) gives: % 191.14/27.75 | (12) all_4_3 = n8 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n8, all_4_0, n14, n20, simplifying with % 191.14/27.75 | (8), (11) gives: % 191.14/27.75 | (13) all_4_0 = n8 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #240 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) all_4_1 = n16 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n18, n18) = n10 % 191.14/27.75 (4) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (5) sum(n20, n16) = n10 % 191.14/27.75 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (7) all_4_4 = n18 % 191.14/27.75 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 (9) all_4_7 = n18 % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (6), (7), (9) imply: % 191.14/27.75 | (10) sum(n18, n18) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (1), (4) imply: % 191.14/27.75 | (11) sum(n20, n16) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (8) with n10, all_4_3, n18, n18, simplifying with % 191.14/27.75 | (3), (10) gives: % 191.14/27.75 | (12) all_4_3 = n10 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (8) with n10, all_4_0, n16, n20, simplifying with % 191.14/27.75 | (5), (11) gives: % 191.14/27.75 | (13) all_4_0 = n10 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #241 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) all_4_1 = n18 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) sum(n19, n19) = n12 % 191.14/27.75 (5) all_4_4 = n19 % 191.14/27.75 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (7) all_4_7 = n19 % 191.14/27.75 (8) sum(n20, n18) = n12 % 191.14/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (6), (7) imply: % 191.14/27.75 | (10) sum(n19, n19) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (1), (3) imply: % 191.14/27.75 | (11) sum(n20, n18) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.75 | (4), (10) gives: % 191.14/27.75 | (12) all_4_3 = n12 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (9) with n12, all_4_0, n18, n20, simplifying with % 191.14/27.75 | (8), (11) gives: % 191.14/27.75 | (13) all_4_0 = n12 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (12), (13) imply: % 191.14/27.75 | (14) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (14) is inconsistent. % 191.14/27.75 | % 191.14/27.75 End of proof % 191.14/27.75 % 191.14/27.75 Sub-proof #242 shows that the following formulas are inconsistent: % 191.14/27.75 ---------------------------------------------------------------- % 191.14/27.75 (1) all_4_1 = all_4_7 % 191.14/27.75 (2) ~ (all_4_0 = all_4_3) % 191.14/27.75 (3) sum(n20, all_4_1) = all_4_0 % 191.14/27.75 (4) sum(n20, n20) = n14 % 191.14/27.75 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.75 (6) all_4_4 = n20 % 191.14/27.75 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.75 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.75 (8) all_4_1 = all_4_4 % 191.14/27.75 % 191.14/27.75 Begin of proof % 191.14/27.75 | % 191.14/27.75 | COMBINE_EQS: (1), (8) imply: % 191.14/27.75 | (9) all_4_4 = all_4_7 % 191.14/27.75 | % 191.14/27.75 | SIMP: (9) implies: % 191.14/27.75 | (10) all_4_4 = all_4_7 % 191.14/27.75 | % 191.14/27.75 | COMBINE_EQS: (6), (10) imply: % 191.14/27.75 | (11) all_4_7 = n20 % 191.14/27.75 | % 191.14/27.75 | COMBINE_EQS: (1), (11) imply: % 191.14/27.75 | (12) all_4_1 = n20 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (5), (6), (11) imply: % 191.14/27.75 | (13) sum(n20, n20) = all_4_3 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (3), (12) imply: % 191.14/27.75 | (14) sum(n20, n20) = all_4_0 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (7) with n14, all_4_0, n20, n20, simplifying with % 191.14/27.75 | (4), (14) gives: % 191.14/27.75 | (15) all_4_0 = n14 % 191.14/27.75 | % 191.14/27.75 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n20, n20, simplifying % 191.14/27.75 | with (13), (14) gives: % 191.14/27.75 | (16) all_4_0 = all_4_3 % 191.14/27.75 | % 191.14/27.75 | COMBINE_EQS: (15), (16) imply: % 191.14/27.75 | (17) all_4_3 = n14 % 191.14/27.75 | % 191.14/27.75 | REDUCE: (2), (15), (17) imply: % 191.14/27.75 | (18) $false % 191.14/27.75 | % 191.14/27.75 | CLOSE: (18) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #243 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) ~ (all_4_0 = all_4_3) % 191.14/27.76 (2) sum(n24, n24) = n22 % 191.14/27.76 (3) sum(n0, n22) = all_4_0 % 191.14/27.76 (4) sum(n24, n24) = all_4_3 % 191.14/27.76 (5) sum(n0, n22) = n22 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n22, all_4_0, n22, n0, simplifying with % 191.14/27.76 | (3), (5) gives: % 191.14/27.76 | (7) all_4_0 = n22 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.76 | (2), (4) gives: % 191.14/27.76 | (8) all_4_3 = n22 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (1), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #244 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n25, n25) = n24 % 191.14/27.76 (2) sum(n25, n25) = all_4_3 % 191.14/27.76 (3) ~ (all_4_0 = all_4_3) % 191.14/27.76 (4) sum(n2, n22) = n24 % 191.14/27.76 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (6) sum(n2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (5) with n24, all_4_0, n22, n2, simplifying with % 191.14/27.76 | (4), (6) gives: % 191.14/27.76 | (7) all_4_0 = n24 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (5) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.76 | (1), (2) gives: % 191.14/27.76 | (8) all_4_3 = n24 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (3), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #245 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n4, n22) = n0 % 191.14/27.76 (2) sum(n0, n0) = all_4_3 % 191.14/27.76 (3) ~ (all_4_0 = all_4_3) % 191.14/27.76 (4) sum(n0, n0) = n0 % 191.14/27.76 (5) sum(n4, n22) = all_4_0 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2), % 191.14/27.76 | (4) gives: % 191.14/27.76 | (7) all_4_3 = n0 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n0, all_4_0, n22, n4, simplifying with % 191.14/27.76 | (1), (5) gives: % 191.14/27.76 | (8) all_4_0 = n0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (3), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #246 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n1, n1) = all_4_3 % 191.14/27.76 (2) sum(n6, n22) = n2 % 191.14/27.76 (3) sum(n1, n1) = n2 % 191.14/27.76 (4) ~ (all_4_0 = all_4_3) % 191.14/27.76 (5) sum(n6, n22) = all_4_0 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.76 | (3) gives: % 191.14/27.76 | (7) all_4_3 = n2 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n2, all_4_0, n22, n6, simplifying with % 191.14/27.76 | (2), (5) gives: % 191.14/27.76 | (8) all_4_0 = n2 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (4), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #247 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n8, n22) = all_4_0 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n8, n22) = n4 % 191.14/27.76 (4) sum(n2, n2) = n4 % 191.14/27.76 (5) sum(n2, n2) = all_4_3 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (4), % 191.14/27.76 | (5) gives: % 191.14/27.76 | (7) all_4_3 = n4 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n4, all_4_0, n22, n8, simplifying with % 191.14/27.76 | (1), (3) gives: % 191.14/27.76 | (8) all_4_0 = n4 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #248 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n3, n3) = n6 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n10, n22) = all_4_0 % 191.14/27.76 (4) sum(n3, n3) = all_4_3 % 191.14/27.76 (5) sum(n10, n22) = n6 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (1), % 191.14/27.76 | (4) gives: % 191.14/27.76 | (7) all_4_3 = n6 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n6, all_4_0, n22, n10, simplifying with % 191.14/27.76 | (3), (5) gives: % 191.14/27.76 | (8) all_4_0 = n6 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #249 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) ~ (all_4_0 = all_4_3) % 191.14/27.76 (2) sum(n12, n22) = n8 % 191.14/27.76 (3) sum(n12, n22) = all_4_0 % 191.14/27.76 (4) sum(n4, n4) = all_4_3 % 191.14/27.76 (5) sum(n4, n4) = n8 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (4), % 191.14/27.76 | (5) gives: % 191.14/27.76 | (7) all_4_3 = n8 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n8, all_4_0, n22, n12, simplifying with % 191.14/27.76 | (2), (3) gives: % 191.14/27.76 | (8) all_4_0 = n8 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (1), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #250 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) ~ (all_4_0 = all_4_3) % 191.14/27.76 (2) sum(n5, n5) = n10 % 191.14/27.76 (3) sum(n5, n5) = all_4_3 % 191.14/27.76 (4) sum(n14, n22) = all_4_0 % 191.14/27.76 (5) sum(n14, n22) = n10 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.76 | (2), (3) gives: % 191.14/27.76 | (7) all_4_3 = n10 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n10, all_4_0, n22, n14, simplifying with % 191.14/27.76 | (4), (5) gives: % 191.14/27.76 | (8) all_4_0 = n10 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (1), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #251 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n6, n6) = all_4_3 % 191.14/27.76 (2) sum(n16, n22) = n12 % 191.14/27.76 (3) ~ (all_4_0 = all_4_3) % 191.14/27.76 (4) sum(n6, n6) = n12 % 191.14/27.76 (5) sum(n16, n22) = all_4_0 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.76 | (1), (4) gives: % 191.14/27.76 | (7) all_4_3 = n12 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n12, all_4_0, n22, n16, simplifying with % 191.14/27.76 | (2), (5) gives: % 191.14/27.76 | (8) all_4_0 = n12 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (3), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #252 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n7, n7) = n14 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n18, n22) = all_4_0 % 191.14/27.76 (4) sum(n7, n7) = all_4_3 % 191.14/27.76 (5) sum(n18, n22) = n14 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.76 | (1), (4) gives: % 191.14/27.76 | (7) all_4_3 = n14 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n14, all_4_0, n22, n18, simplifying with % 191.14/27.76 | (3), (5) gives: % 191.14/27.76 | (8) all_4_0 = n14 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #253 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n8, n8) = all_4_3 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n8, n8) = n16 % 191.14/27.76 (4) sum(n20, n22) = n16 % 191.14/27.76 (5) sum(n20, n22) = all_4_0 % 191.14/27.76 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.76 | (1), (3) gives: % 191.14/27.76 | (7) all_4_3 = n16 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (6) with n16, all_4_0, n22, n20, simplifying with % 191.14/27.76 | (4), (5) gives: % 191.14/27.76 | (8) all_4_0 = n16 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (7), (8) imply: % 191.14/27.76 | (9) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (9) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #254 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) all_4_2 = n0 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n11, n11) = n22 % 191.14/27.76 (4) all_4_4 = n11 % 191.14/27.76 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (6) sum(n0, n22) = n22 % 191.14/27.76 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (8) all_4_7 = n11 % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | REDUCE: (1), (9) imply: % 191.14/27.76 | (10) sum(n0, n22) = all_4_0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (4), (5), (8) imply: % 191.14/27.76 | (11) sum(n11, n11) = all_4_3 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (7) with n22, all_4_0, n22, n0, simplifying with % 191.14/27.76 | (6), (10) gives: % 191.14/27.76 | (12) all_4_0 = n22 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (7) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.76 | (3), (11) gives: % 191.14/27.76 | (13) all_4_3 = n22 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (12), (13) imply: % 191.14/27.76 | (14) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (14) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #255 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) all_4_2 = n2 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) all_4_7 = n12 % 191.14/27.76 (4) all_4_4 = n12 % 191.14/27.76 (5) sum(n2, n22) = n24 % 191.14/27.76 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (7) sum(n12, n12) = n24 % 191.14/27.76 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | REDUCE: (1), (9) imply: % 191.14/27.76 | (10) sum(n2, n22) = all_4_0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (3), (4), (6) imply: % 191.14/27.76 | (11) sum(n12, n12) = all_4_3 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n24, all_4_0, n22, n2, simplifying with % 191.14/27.76 | (5), (10) gives: % 191.14/27.76 | (12) all_4_0 = n24 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.76 | (7), (11) gives: % 191.14/27.76 | (13) all_4_3 = n24 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (12), (13) imply: % 191.14/27.76 | (14) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (14) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #256 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n4, n22) = n0 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n13, n13) = n0 % 191.14/27.76 (4) all_4_7 = n13 % 191.14/27.76 (5) all_4_4 = n13 % 191.14/27.76 (6) all_4_2 = n4 % 191.14/27.76 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | REDUCE: (6), (9) imply: % 191.14/27.76 | (10) sum(n4, n22) = all_4_0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (4), (5), (7) imply: % 191.14/27.76 | (11) sum(n13, n13) = all_4_3 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n0, all_4_0, n22, n4, simplifying with % 191.14/27.76 | (1), (10) gives: % 191.14/27.76 | (12) all_4_0 = n0 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.76 | (3), (11) gives: % 191.14/27.76 | (13) all_4_3 = n0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (12), (13) imply: % 191.14/27.76 | (14) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (14) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #257 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n6, n22) = n2 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n14, n14) = n2 % 191.14/27.76 (4) all_4_7 = n14 % 191.14/27.76 (5) all_4_2 = n6 % 191.14/27.76 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (7) all_4_4 = n14 % 191.14/27.76 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | REDUCE: (5), (9) imply: % 191.14/27.76 | (10) sum(n6, n22) = all_4_0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (4), (6), (7) imply: % 191.14/27.76 | (11) sum(n14, n14) = all_4_3 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n2, all_4_0, n22, n6, simplifying with % 191.14/27.76 | (1), (10) gives: % 191.14/27.76 | (12) all_4_0 = n2 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.76 | (3), (11) gives: % 191.14/27.76 | (13) all_4_3 = n2 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (12), (13) imply: % 191.14/27.76 | (14) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (14) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #258 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) sum(n15, n15) = n4 % 191.14/27.76 (2) all_4_7 = n15 % 191.14/27.76 (3) ~ (all_4_0 = all_4_3) % 191.14/27.76 (4) sum(n8, n22) = n4 % 191.14/27.76 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (6) all_4_2 = n8 % 191.14/27.76 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (8) all_4_4 = n15 % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | REDUCE: (6), (9) imply: % 191.14/27.76 | (10) sum(n8, n22) = all_4_0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (5), (8) imply: % 191.14/27.76 | (11) sum(n15, n15) = all_4_3 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (7) with n4, all_4_0, n22, n8, simplifying with % 191.14/27.76 | (4), (10) gives: % 191.14/27.76 | (12) all_4_0 = n4 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (7) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.76 | (1), (11) gives: % 191.14/27.76 | (13) all_4_3 = n4 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (3), (12), (13) imply: % 191.14/27.76 | (14) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (14) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #259 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) all_4_2 = n10 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) all_4_7 = n16 % 191.14/27.76 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (5) sum(n10, n22) = n6 % 191.14/27.76 (6) all_4_4 = n16 % 191.14/27.76 (7) sum(n16, n16) = n6 % 191.14/27.76 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | REDUCE: (1), (9) imply: % 191.14/27.76 | (10) sum(n10, n22) = all_4_0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (3), (4), (6) imply: % 191.14/27.76 | (11) sum(n16, n16) = all_4_3 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n6, all_4_0, n22, n10, simplifying with % 191.14/27.76 | (5), (10) gives: % 191.14/27.76 | (12) all_4_0 = n6 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n6, all_4_3, n16, n16, simplifying with % 191.14/27.76 | (7), (11) gives: % 191.14/27.76 | (13) all_4_3 = n6 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (12), (13) imply: % 191.14/27.76 | (14) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (14) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #260 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) all_4_2 = n12 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n17, n17) = n8 % 191.14/27.76 (4) all_4_4 = n17 % 191.14/27.76 (5) sum(n12, n22) = n8 % 191.14/27.76 (6) all_4_7 = n17 % 191.14/27.76 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.76 | % 191.14/27.76 | REDUCE: (1), (9) imply: % 191.14/27.76 | (10) sum(n12, n22) = all_4_0 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (4), (6), (7) imply: % 191.14/27.76 | (11) sum(n17, n17) = all_4_3 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n8, all_4_0, n22, n12, simplifying with % 191.14/27.76 | (5), (10) gives: % 191.14/27.76 | (12) all_4_0 = n8 % 191.14/27.76 | % 191.14/27.76 | GROUND_INST: instantiating (8) with n8, all_4_3, n17, n17, simplifying with % 191.14/27.76 | (3), (11) gives: % 191.14/27.76 | (13) all_4_3 = n8 % 191.14/27.76 | % 191.14/27.76 | REDUCE: (2), (12), (13) imply: % 191.14/27.76 | (14) $false % 191.14/27.76 | % 191.14/27.76 | CLOSE: (14) is inconsistent. % 191.14/27.76 | % 191.14/27.76 End of proof % 191.14/27.76 % 191.14/27.76 Sub-proof #261 shows that the following formulas are inconsistent: % 191.14/27.76 ---------------------------------------------------------------- % 191.14/27.76 (1) all_4_2 = n14 % 191.14/27.76 (2) ~ (all_4_0 = all_4_3) % 191.14/27.76 (3) sum(n18, n18) = n10 % 191.14/27.76 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.76 (5) sum(n14, n22) = n10 % 191.14/27.76 (6) all_4_4 = n18 % 191.14/27.76 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.76 (8) all_4_7 = n18 % 191.14/27.76 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.76 % 191.14/27.76 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (9) imply: % 191.14/27.77 | (10) sum(n14, n22) = all_4_0 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (4), (6), (8) imply: % 191.14/27.77 | (11) sum(n18, n18) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (7) with n10, all_4_0, n22, n14, simplifying with % 191.14/27.77 | (5), (10) gives: % 191.14/27.77 | (12) all_4_0 = n10 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (7) with n10, all_4_3, n18, n18, simplifying with % 191.14/27.77 | (3), (11) gives: % 191.14/27.77 | (13) all_4_3 = n10 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (12), (13) imply: % 191.14/27.77 | (14) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (14) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #262 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n16, n22) = n12 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) sum(n19, n19) = n12 % 191.14/27.77 (4) all_4_4 = n19 % 191.14/27.77 (5) all_4_2 = n16 % 191.14/27.77 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.77 (7) all_4_7 = n19 % 191.14/27.77 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (5), (9) imply: % 191.14/27.77 | (10) sum(n16, n22) = all_4_0 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (4), (6), (7) imply: % 191.14/27.77 | (11) sum(n19, n19) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n12, all_4_0, n22, n16, simplifying with % 191.14/27.77 | (1), (10) gives: % 191.14/27.77 | (12) all_4_0 = n12 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.77 | (3), (11) gives: % 191.14/27.77 | (13) all_4_3 = n12 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (12), (13) imply: % 191.14/27.77 | (14) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (14) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #263 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) ~ (all_4_0 = all_4_3) % 191.14/27.77 (2) all_4_7 = n20 % 191.14/27.77 (3) sum(n18, n22) = n14 % 191.14/27.77 (4) sum(n20, n20) = n14 % 191.14/27.77 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.77 (6) all_4_4 = n20 % 191.14/27.77 (7) all_4_2 = n18 % 191.14/27.77 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (7), (9) imply: % 191.14/27.77 | (10) sum(n18, n22) = all_4_0 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (5), (6) imply: % 191.14/27.77 | (11) sum(n20, n20) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n14, all_4_0, n22, n18, simplifying with % 191.14/27.77 | (3), (10) gives: % 191.14/27.77 | (12) all_4_0 = n14 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.77 | (4), (11) gives: % 191.14/27.77 | (13) all_4_3 = n14 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (12), (13) imply: % 191.14/27.77 | (14) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (14) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #264 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) all_4_7 = n21 % 191.14/27.77 (2) all_4_4 = n21 % 191.14/27.77 (3) ~ (all_4_0 = all_4_3) % 191.14/27.77 (4) sum(n20, n22) = n16 % 191.14/27.77 (5) all_4_2 = n20 % 191.14/27.77 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.77 (7) sum(n21, n21) = n16 % 191.14/27.77 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 (9) sum(all_4_2, n22) = all_4_0 % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (5), (9) imply: % 191.14/27.77 | (10) sum(n20, n22) = all_4_0 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (2), (6) imply: % 191.14/27.77 | (11) sum(n21, n21) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n16, all_4_0, n22, n20, simplifying with % 191.14/27.77 | (4), (10) gives: % 191.14/27.77 | (12) all_4_0 = n16 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.77 | (7), (11) gives: % 191.14/27.77 | (13) all_4_3 = n16 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (3), (12), (13) imply: % 191.14/27.77 | (14) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (14) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #265 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) ~ (all_4_0 = all_4_3) % 191.14/27.77 (2) sum(n24, n24) = n22 % 191.14/27.77 (3) sum(n22, n0) = all_4_0 % 191.14/27.77 (4) sum(n24, n24) = all_4_3 % 191.14/27.77 (5) sum(n22, n0) = n22 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n22, all_4_0, n0, n22, simplifying with % 191.14/27.77 | (3), (5) gives: % 191.14/27.77 | (7) all_4_0 = n22 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n22, all_4_3, n24, n24, simplifying with % 191.14/27.77 | (2), (4) gives: % 191.14/27.77 | (8) all_4_3 = n22 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #266 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n25, n25) = n24 % 191.14/27.77 (2) sum(n25, n25) = all_4_3 % 191.14/27.77 (3) sum(n22, n2) = n24 % 191.14/27.77 (4) ~ (all_4_0 = all_4_3) % 191.14/27.77 (5) sum(n22, n2) = all_4_0 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n24, all_4_0, n2, n22, simplifying with % 191.14/27.77 | (3), (5) gives: % 191.14/27.77 | (7) all_4_0 = n24 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.77 | (1), (2) gives: % 191.14/27.77 | (8) all_4_3 = n24 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (4), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #267 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n0, n0) = all_4_3 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) sum(n0, n0) = n0 % 191.14/27.77 (4) sum(n22, n4) = n0 % 191.14/27.77 (5) sum(n22, n4) = all_4_0 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (1), % 191.14/27.77 | (3) gives: % 191.14/27.77 | (7) all_4_3 = n0 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n0, all_4_0, n4, n22, simplifying with % 191.14/27.77 | (4), (5) gives: % 191.14/27.77 | (8) all_4_0 = n0 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #268 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n1, n1) = all_4_3 % 191.14/27.77 (2) sum(n22, n6) = all_4_0 % 191.14/27.77 (3) sum(n1, n1) = n2 % 191.14/27.77 (4) ~ (all_4_0 = all_4_3) % 191.14/27.77 (5) sum(n22, n6) = n2 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.77 | (3) gives: % 191.14/27.77 | (7) all_4_3 = n2 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n2, all_4_0, n6, n22, simplifying with % 191.14/27.77 | (2), (5) gives: % 191.14/27.77 | (8) all_4_0 = n2 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (4), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #269 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n22, n8) = all_4_0 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) sum(n2, n2) = n4 % 191.14/27.77 (4) sum(n22, n8) = n4 % 191.14/27.77 (5) sum(n2, n2) = all_4_3 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (3), % 191.14/27.77 | (5) gives: % 191.14/27.77 | (7) all_4_3 = n4 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n4, all_4_0, n8, n22, simplifying with % 191.14/27.77 | (1), (4) gives: % 191.14/27.77 | (8) all_4_0 = n4 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #270 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n3, n3) = n6 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) sum(n22, n10) = n6 % 191.14/27.77 (4) sum(n3, n3) = all_4_3 % 191.14/27.77 (5) sum(n22, n10) = all_4_0 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (1), % 191.14/27.77 | (4) gives: % 191.14/27.77 | (7) all_4_3 = n6 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n6, all_4_0, n10, n22, simplifying with % 191.14/27.77 | (3), (5) gives: % 191.14/27.77 | (8) all_4_0 = n6 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #271 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) ~ (all_4_0 = all_4_3) % 191.14/27.77 (2) sum(n22, n12) = all_4_0 % 191.14/27.77 (3) sum(n4, n4) = all_4_3 % 191.14/27.77 (4) sum(n22, n12) = n8 % 191.14/27.77 (5) sum(n4, n4) = n8 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (3), % 191.14/27.77 | (5) gives: % 191.14/27.77 | (7) all_4_3 = n8 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n8, all_4_0, n12, n22, simplifying with % 191.14/27.77 | (2), (4) gives: % 191.14/27.77 | (8) all_4_0 = n8 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #272 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n22, n14) = all_4_0 % 191.14/27.77 (2) sum(n22, n14) = n10 % 191.14/27.77 (3) ~ (all_4_0 = all_4_3) % 191.14/27.77 (4) sum(n5, n5) = n10 % 191.14/27.77 (5) sum(n5, n5) = all_4_3 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.77 | (4), (5) gives: % 191.14/27.77 | (7) all_4_3 = n10 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n10, all_4_0, n14, n22, simplifying with % 191.14/27.77 | (1), (2) gives: % 191.14/27.77 | (8) all_4_0 = n10 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (3), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #273 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n6, n6) = all_4_3 % 191.14/27.77 (2) sum(n22, n16) = all_4_0 % 191.14/27.77 (3) ~ (all_4_0 = all_4_3) % 191.14/27.77 (4) sum(n22, n16) = n12 % 191.14/27.77 (5) sum(n6, n6) = n12 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.77 | (1), (5) gives: % 191.14/27.77 | (7) all_4_3 = n12 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n12, all_4_0, n16, n22, simplifying with % 191.14/27.77 | (2), (4) gives: % 191.14/27.77 | (8) all_4_0 = n12 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (3), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #274 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n7, n7) = n14 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) sum(n22, n18) = all_4_0 % 191.14/27.77 (4) sum(n7, n7) = all_4_3 % 191.14/27.77 (5) sum(n22, n18) = n14 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.77 | (1), (4) gives: % 191.14/27.77 | (7) all_4_3 = n14 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n14, all_4_0, n18, n22, simplifying with % 191.14/27.77 | (3), (5) gives: % 191.14/27.77 | (8) all_4_0 = n14 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #275 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n8, n8) = all_4_3 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) sum(n8, n8) = n16 % 191.14/27.77 (4) sum(n22, n20) = all_4_0 % 191.14/27.77 (5) sum(n22, n20) = n16 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.77 | (1), (3) gives: % 191.14/27.77 | (7) all_4_3 = n16 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n16, all_4_0, n20, n22, simplifying with % 191.14/27.77 | (4), (5) gives: % 191.14/27.77 | (8) all_4_0 = n16 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #276 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) ~ (all_4_0 = all_4_3) % 191.14/27.77 (2) sum(n22, n22) = n18 % 191.14/27.77 (3) sum(n9, n9) = all_4_3 % 191.14/27.77 (4) sum(n9, n9) = n18 % 191.14/27.77 (5) sum(n22, n22) = all_4_0 % 191.14/27.77 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.77 | (3), (4) gives: % 191.14/27.77 | (7) all_4_3 = n18 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (6) with n18, all_4_0, n22, n22, simplifying with % 191.14/27.77 | (2), (5) gives: % 191.14/27.77 | (8) all_4_0 = n18 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (7), (8) imply: % 191.14/27.77 | (9) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (9) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #277 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) ~ (all_4_0 = all_4_3) % 191.14/27.77 (2) sum(n11, n11) = n22 % 191.14/27.77 (3) all_4_1 = n0 % 191.14/27.77 (4) all_4_4 = n11 % 191.14/27.77 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.77 (6) sum(n22, all_4_1) = all_4_0 % 191.14/27.77 (7) sum(n22, n0) = n22 % 191.14/27.77 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 (9) all_4_7 = n11 % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (4), (5), (9) imply: % 191.14/27.77 | (10) sum(n11, n11) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (3), (6) imply: % 191.14/27.77 | (11) sum(n22, n0) = all_4_0 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n22, all_4_3, n11, n11, simplifying with % 191.14/27.77 | (2), (10) gives: % 191.14/27.77 | (12) all_4_3 = n22 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (8) with n22, all_4_0, n0, n22, simplifying with % 191.14/27.77 | (7), (11) gives: % 191.14/27.77 | (13) all_4_0 = n22 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (12), (13) imply: % 191.14/27.77 | (14) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (14) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #278 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) sum(n22, n2) = n24 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) all_4_7 = n12 % 191.14/27.77 (4) all_4_4 = n12 % 191.14/27.77 (5) all_4_1 = n2 % 191.14/27.77 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.77 (7) sum(n22, all_4_1) = all_4_0 % 191.14/27.77 (8) sum(n12, n12) = n24 % 191.14/27.77 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (3), (4), (6) imply: % 191.14/27.77 | (10) sum(n12, n12) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (5), (7) imply: % 191.14/27.77 | (11) sum(n22, n2) = all_4_0 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.77 | (8), (10) gives: % 191.14/27.77 | (12) all_4_3 = n24 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (9) with n24, all_4_0, n2, n22, simplifying with % 191.14/27.77 | (1), (11) gives: % 191.14/27.77 | (13) all_4_0 = n24 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (12), (13) imply: % 191.14/27.77 | (14) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (14) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #279 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) ~ (all_4_0 = all_4_3) % 191.14/27.77 (2) all_4_1 = n4 % 191.14/27.77 (3) sum(n13, n13) = n0 % 191.14/27.77 (4) all_4_7 = n13 % 191.14/27.77 (5) sum(n22, n4) = n0 % 191.14/27.77 (6) all_4_4 = n13 % 191.14/27.77 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.77 (8) sum(n22, all_4_1) = all_4_0 % 191.14/27.77 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (4), (6), (7) imply: % 191.14/27.77 | (10) sum(n13, n13) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (2), (8) imply: % 191.14/27.77 | (11) sum(n22, n4) = all_4_0 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.77 | (3), (10) gives: % 191.14/27.77 | (12) all_4_3 = n0 % 191.14/27.77 | % 191.14/27.77 | GROUND_INST: instantiating (9) with n0, all_4_0, n4, n22, simplifying with % 191.14/27.77 | (5), (11) gives: % 191.14/27.77 | (13) all_4_0 = n0 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (12), (13) imply: % 191.14/27.77 | (14) $false % 191.14/27.77 | % 191.14/27.77 | CLOSE: (14) is inconsistent. % 191.14/27.77 | % 191.14/27.77 End of proof % 191.14/27.77 % 191.14/27.77 Sub-proof #280 shows that the following formulas are inconsistent: % 191.14/27.77 ---------------------------------------------------------------- % 191.14/27.77 (1) all_4_1 = n6 % 191.14/27.77 (2) ~ (all_4_0 = all_4_3) % 191.14/27.77 (3) sum(n14, n14) = n2 % 191.14/27.77 (4) sum(n22, n6) = n2 % 191.14/27.77 (5) all_4_7 = n14 % 191.14/27.77 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.77 (7) all_4_4 = n14 % 191.14/27.77 (8) sum(n22, all_4_1) = all_4_0 % 191.14/27.77 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.77 % 191.14/27.77 Begin of proof % 191.14/27.77 | % 191.14/27.77 | REDUCE: (5), (6), (7) imply: % 191.14/27.77 | (10) sum(n14, n14) = all_4_3 % 191.14/27.77 | % 191.14/27.77 | REDUCE: (1), (8) imply: % 191.14/27.77 | (11) sum(n22, n6) = all_4_0 % 191.14/27.77 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.78 | (3), (10) gives: % 191.14/27.78 | (12) all_4_3 = n2 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n2, all_4_0, n6, n22, simplifying with % 191.14/27.78 | (4), (11) gives: % 191.14/27.78 | (13) all_4_0 = n2 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #281 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) all_4_1 = n8 % 191.14/27.78 (2) sum(n15, n15) = n4 % 191.14/27.78 (3) all_4_7 = n15 % 191.14/27.78 (4) ~ (all_4_0 = all_4_3) % 191.14/27.78 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (6) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (7) sum(n22, n8) = n4 % 191.14/27.78 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 (9) all_4_4 = n15 % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (5), (9) imply: % 191.14/27.78 | (10) sum(n15, n15) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (1), (6) imply: % 191.14/27.78 | (11) sum(n22, n8) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.78 | (2), (10) gives: % 191.14/27.78 | (12) all_4_3 = n4 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (8) with n4, all_4_0, n8, n22, simplifying with % 191.14/27.78 | (7), (11) gives: % 191.14/27.78 | (13) all_4_0 = n4 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (4), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #282 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) all_4_1 = n10 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) all_4_7 = n16 % 191.14/27.78 (4) sum(n22, n10) = n6 % 191.14/27.78 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (6) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (7) all_4_4 = n16 % 191.14/27.78 (8) sum(n16, n16) = n6 % 191.14/27.78 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (5), (7) imply: % 191.14/27.78 | (10) sum(n16, n16) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (1), (6) imply: % 191.14/27.78 | (11) sum(n22, n10) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n6, all_4_3, n16, n16, simplifying with % 191.14/27.78 | (8), (10) gives: % 191.14/27.78 | (12) all_4_3 = n6 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n6, all_4_0, n10, n22, simplifying with % 191.14/27.78 | (4), (11) gives: % 191.14/27.78 | (13) all_4_0 = n6 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #283 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) ~ (all_4_0 = all_4_3) % 191.14/27.78 (2) sum(n17, n17) = n8 % 191.14/27.78 (3) all_4_4 = n17 % 191.14/27.78 (4) all_4_7 = n17 % 191.14/27.78 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (6) all_4_1 = n12 % 191.14/27.78 (7) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (8) sum(n22, n12) = n8 % 191.14/27.78 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (4), (5) imply: % 191.14/27.78 | (10) sum(n17, n17) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (6), (7) imply: % 191.14/27.78 | (11) sum(n22, n12) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n8, all_4_3, n17, n17, simplifying with % 191.14/27.78 | (2), (10) gives: % 191.14/27.78 | (12) all_4_3 = n8 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n8, all_4_0, n12, n22, simplifying with % 191.14/27.78 | (8), (11) gives: % 191.14/27.78 | (13) all_4_0 = n8 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (1), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #284 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) all_4_1 = n14 % 191.14/27.78 (2) sum(n22, n14) = n10 % 191.14/27.78 (3) ~ (all_4_0 = all_4_3) % 191.14/27.78 (4) sum(n18, n18) = n10 % 191.14/27.78 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (6) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (7) all_4_4 = n18 % 191.14/27.78 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 (9) all_4_7 = n18 % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | REDUCE: (5), (7), (9) imply: % 191.14/27.78 | (10) sum(n18, n18) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (1), (6) imply: % 191.14/27.78 | (11) sum(n22, n14) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (8) with n10, all_4_3, n18, n18, simplifying with % 191.14/27.78 | (4), (10) gives: % 191.14/27.78 | (12) all_4_3 = n10 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (8) with n10, all_4_0, n14, n22, simplifying with % 191.14/27.78 | (2), (11) gives: % 191.14/27.78 | (13) all_4_0 = n10 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #285 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) all_4_1 = n16 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) sum(n22, n16) = n12 % 191.14/27.78 (4) sum(n19, n19) = n12 % 191.14/27.78 (5) all_4_4 = n19 % 191.14/27.78 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (7) all_4_7 = n19 % 191.14/27.78 (8) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | REDUCE: (5), (6), (7) imply: % 191.14/27.78 | (10) sum(n19, n19) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (1), (8) imply: % 191.14/27.78 | (11) sum(n22, n16) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.78 | (4), (10) gives: % 191.14/27.78 | (12) all_4_3 = n12 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n12, all_4_0, n16, n22, simplifying with % 191.14/27.78 | (3), (11) gives: % 191.14/27.78 | (13) all_4_0 = n12 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #286 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) all_4_1 = n18 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) all_4_7 = n20 % 191.14/27.78 (4) sum(n20, n20) = n14 % 191.14/27.78 (5) sum(n22, n18) = n14 % 191.14/27.78 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (7) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (8) all_4_4 = n20 % 191.14/27.78 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (6), (8) imply: % 191.14/27.78 | (10) sum(n20, n20) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (1), (7) imply: % 191.14/27.78 | (11) sum(n22, n18) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.78 | (4), (10) gives: % 191.14/27.78 | (12) all_4_3 = n14 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n14, all_4_0, n18, n22, simplifying with % 191.14/27.78 | (5), (11) gives: % 191.14/27.78 | (13) all_4_0 = n14 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #287 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) all_4_7 = n21 % 191.14/27.78 (2) all_4_4 = n21 % 191.14/27.78 (3) all_4_1 = n20 % 191.14/27.78 (4) ~ (all_4_0 = all_4_3) % 191.14/27.78 (5) sum(n22, n20) = n16 % 191.14/27.78 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (7) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (8) sum(n21, n21) = n16 % 191.14/27.78 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | REDUCE: (1), (2), (6) imply: % 191.14/27.78 | (10) sum(n21, n21) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (7) imply: % 191.14/27.78 | (11) sum(n22, n20) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.78 | (8), (10) gives: % 191.14/27.78 | (12) all_4_3 = n16 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (9) with n16, all_4_0, n20, n22, simplifying with % 191.14/27.78 | (5), (11) gives: % 191.14/27.78 | (13) all_4_0 = n16 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (4), (12), (13) imply: % 191.14/27.78 | (14) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (14) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #288 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) all_4_1 = all_4_7 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) all_4_4 = n22 % 191.14/27.78 (4) sum(n22, n22) = n18 % 191.14/27.78 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.78 (6) sum(n22, all_4_1) = all_4_0 % 191.14/27.78 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 (8) all_4_1 = all_4_4 % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | COMBINE_EQS: (1), (8) imply: % 191.14/27.78 | (9) all_4_4 = all_4_7 % 191.14/27.78 | % 191.14/27.78 | SIMP: (9) implies: % 191.14/27.78 | (10) all_4_4 = all_4_7 % 191.14/27.78 | % 191.14/27.78 | COMBINE_EQS: (3), (10) imply: % 191.14/27.78 | (11) all_4_7 = n22 % 191.14/27.78 | % 191.14/27.78 | COMBINE_EQS: (1), (11) imply: % 191.14/27.78 | (12) all_4_1 = n22 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (5), (11) imply: % 191.14/27.78 | (13) sum(n22, n22) = all_4_3 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (6), (12) imply: % 191.14/27.78 | (14) sum(n22, n22) = all_4_0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (7) with n18, all_4_0, n22, n22, simplifying with % 191.14/27.78 | (4), (14) gives: % 191.14/27.78 | (15) all_4_0 = n18 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n22, n22, simplifying % 191.14/27.78 | with (13), (14) gives: % 191.14/27.78 | (16) all_4_0 = all_4_3 % 191.14/27.78 | % 191.14/27.78 | COMBINE_EQS: (15), (16) imply: % 191.14/27.78 | (17) all_4_3 = n18 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (15), (17) imply: % 191.14/27.78 | (18) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (18) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #289 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n25, n25) = n24 % 191.14/27.78 (2) sum(n25, n25) = all_4_3 % 191.14/27.78 (3) sum(n0, n24) = all_4_0 % 191.14/27.78 (4) ~ (all_4_0 = all_4_3) % 191.14/27.78 (5) sum(n0, n24) = n24 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n24, all_4_0, n24, n0, simplifying with % 191.14/27.78 | (3), (5) gives: % 191.14/27.78 | (7) all_4_0 = n24 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.14/27.78 | (1), (2) gives: % 191.14/27.78 | (8) all_4_3 = n24 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (4), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #290 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n0, n0) = all_4_3 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) sum(n2, n24) = all_4_0 % 191.14/27.78 (4) sum(n0, n0) = n0 % 191.14/27.78 (5) sum(n2, n24) = n0 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (1), % 191.14/27.78 | (4) gives: % 191.14/27.78 | (7) all_4_3 = n0 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n0, all_4_0, n24, n2, simplifying with % 191.14/27.78 | (3), (5) gives: % 191.14/27.78 | (8) all_4_0 = n0 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #291 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n1, n1) = all_4_3 % 191.14/27.78 (2) sum(n1, n1) = n2 % 191.14/27.78 (3) sum(n4, n24) = n2 % 191.14/27.78 (4) ~ (all_4_0 = all_4_3) % 191.14/27.78 (5) sum(n4, n24) = all_4_0 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.14/27.78 | (2) gives: % 191.14/27.78 | (7) all_4_3 = n2 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n2, all_4_0, n24, n4, simplifying with % 191.14/27.78 | (3), (5) gives: % 191.14/27.78 | (8) all_4_0 = n2 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (4), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #292 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n6, n24) = n4 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) sum(n6, n24) = all_4_0 % 191.14/27.78 (4) sum(n2, n2) = n4 % 191.14/27.78 (5) sum(n2, n2) = all_4_3 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (4), % 191.14/27.78 | (5) gives: % 191.14/27.78 | (7) all_4_3 = n4 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n4, all_4_0, n24, n6, simplifying with % 191.14/27.78 | (1), (3) gives: % 191.14/27.78 | (8) all_4_0 = n4 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #293 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n8, n24) = n6 % 191.14/27.78 (2) sum(n3, n3) = n6 % 191.14/27.78 (3) ~ (all_4_0 = all_4_3) % 191.14/27.78 (4) sum(n3, n3) = all_4_3 % 191.14/27.78 (5) sum(n8, n24) = all_4_0 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (2), % 191.14/27.78 | (4) gives: % 191.14/27.78 | (7) all_4_3 = n6 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n6, all_4_0, n24, n8, simplifying with % 191.14/27.78 | (1), (5) gives: % 191.14/27.78 | (8) all_4_0 = n6 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #294 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n10, n24) = n8 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) sum(n4, n4) = all_4_3 % 191.14/27.78 (4) sum(n10, n24) = all_4_0 % 191.14/27.78 (5) sum(n4, n4) = n8 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (3), % 191.14/27.78 | (5) gives: % 191.14/27.78 | (7) all_4_3 = n8 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n8, all_4_0, n24, n10, simplifying with % 191.14/27.78 | (1), (4) gives: % 191.14/27.78 | (8) all_4_0 = n8 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #295 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n12, n24) = all_4_0 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) sum(n5, n5) = n10 % 191.14/27.78 (4) sum(n5, n5) = all_4_3 % 191.14/27.78 (5) sum(n12, n24) = n10 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n10, all_4_3, n5, n5, simplifying with % 191.14/27.78 | (3), (4) gives: % 191.14/27.78 | (7) all_4_3 = n10 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n10, all_4_0, n24, n12, simplifying with % 191.14/27.78 | (1), (5) gives: % 191.14/27.78 | (8) all_4_0 = n10 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #296 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n6, n6) = all_4_3 % 191.14/27.78 (2) ~ (all_4_0 = all_4_3) % 191.14/27.78 (3) sum(n6, n6) = n12 % 191.14/27.78 (4) sum(n14, n24) = n12 % 191.14/27.78 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 (6) sum(n14, n24) = all_4_0 % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (5) with n12, all_4_3, n6, n6, simplifying with % 191.14/27.78 | (1), (3) gives: % 191.14/27.78 | (7) all_4_3 = n12 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (5) with n12, all_4_0, n24, n14, simplifying with % 191.14/27.78 | (4), (6) gives: % 191.14/27.78 | (8) all_4_0 = n12 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (2), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #297 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n16, n24) = all_4_0 % 191.14/27.78 (2) sum(n7, n7) = n14 % 191.14/27.78 (3) sum(n16, n24) = n14 % 191.14/27.78 (4) ~ (all_4_0 = all_4_3) % 191.14/27.78 (5) sum(n7, n7) = all_4_3 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n14, all_4_3, n7, n7, simplifying with % 191.14/27.78 | (2), (5) gives: % 191.14/27.78 | (7) all_4_3 = n14 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n14, all_4_0, n24, n16, simplifying with % 191.14/27.78 | (1), (3) gives: % 191.14/27.78 | (8) all_4_0 = n14 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (4), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #298 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.78 (1) sum(n18, n24) = all_4_0 % 191.14/27.78 (2) sum(n8, n8) = all_4_3 % 191.14/27.78 (3) ~ (all_4_0 = all_4_3) % 191.14/27.78 (4) sum(n8, n8) = n16 % 191.14/27.78 (5) sum(n18, n24) = n16 % 191.14/27.78 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.78 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.78 % 191.14/27.78 Begin of proof % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n16, all_4_3, n8, n8, simplifying with % 191.14/27.78 | (2), (4) gives: % 191.14/27.78 | (7) all_4_3 = n16 % 191.14/27.78 | % 191.14/27.78 | GROUND_INST: instantiating (6) with n16, all_4_0, n24, n18, simplifying with % 191.14/27.78 | (1), (5) gives: % 191.14/27.78 | (8) all_4_0 = n16 % 191.14/27.78 | % 191.14/27.78 | REDUCE: (3), (7), (8) imply: % 191.14/27.78 | (9) $false % 191.14/27.78 | % 191.14/27.78 | CLOSE: (9) is inconsistent. % 191.14/27.78 | % 191.14/27.78 End of proof % 191.14/27.78 % 191.14/27.78 Sub-proof #299 shows that the following formulas are inconsistent: % 191.14/27.78 ---------------------------------------------------------------- % 191.14/27.79 (1) sum(n20, n24) = n18 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) sum(n20, n24) = all_4_0 % 191.14/27.79 (4) sum(n9, n9) = all_4_3 % 191.14/27.79 (5) sum(n9, n9) = n18 % 191.14/27.79 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (6) with n18, all_4_3, n9, n9, simplifying with % 191.14/27.79 | (4), (5) gives: % 191.14/27.79 | (7) all_4_3 = n18 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (6) with n18, all_4_0, n24, n20, simplifying with % 191.14/27.79 | (1), (3) gives: % 191.14/27.79 | (8) all_4_0 = n18 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (7), (8) imply: % 191.14/27.79 | (9) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (9) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #300 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) sum(n22, n24) = all_4_0 % 191.14/27.79 (2) sum(n10, n10) = n20 % 191.14/27.79 (3) ~ (all_4_0 = all_4_3) % 191.14/27.79 (4) sum(n10, n10) = all_4_3 % 191.14/27.79 (5) sum(n22, n24) = n20 % 191.14/27.79 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (6) with n20, all_4_3, n10, n10, simplifying with % 191.14/27.79 | (2), (4) gives: % 191.14/27.79 | (7) all_4_3 = n20 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (6) with n20, all_4_0, n24, n22, simplifying with % 191.14/27.79 | (1), (5) gives: % 191.14/27.79 | (8) all_4_0 = n20 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (7), (8) imply: % 191.14/27.79 | (9) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (9) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #301 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) all_4_2 = n0 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) all_4_7 = n12 % 191.14/27.79 (4) all_4_4 = n12 % 191.14/27.79 (5) sum(n0, n24) = n24 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (8) sum(n12, n12) = n24 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (1), (7) imply: % 191.14/27.79 | (10) sum(n0, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (4), (6) imply: % 191.14/27.79 | (11) sum(n12, n12) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n24, all_4_0, n24, n0, simplifying with % 191.14/27.79 | (5), (10) gives: % 191.14/27.79 | (12) all_4_0 = n24 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.14/27.79 | (8), (11) gives: % 191.14/27.79 | (13) all_4_3 = n24 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #302 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) all_4_2 = n2 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) sum(n13, n13) = n0 % 191.14/27.79 (4) all_4_7 = n13 % 191.14/27.79 (5) all_4_4 = n13 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) sum(n2, n24) = n0 % 191.14/27.79 (8) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (1), (8) imply: % 191.14/27.79 | (10) sum(n2, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (4), (5), (6) imply: % 191.14/27.79 | (11) sum(n13, n13) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n0, all_4_0, n24, n2, simplifying with % 191.14/27.79 | (7), (10) gives: % 191.14/27.79 | (12) all_4_0 = n0 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n0, all_4_3, n13, n13, simplifying with % 191.14/27.79 | (3), (11) gives: % 191.14/27.79 | (13) all_4_3 = n0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #303 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) sum(n4, n24) = n2 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) sum(n14, n14) = n2 % 191.14/27.79 (4) all_4_7 = n14 % 191.14/27.79 (5) all_4_2 = n4 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) all_4_4 = n14 % 191.14/27.79 (8) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (5), (8) imply: % 191.14/27.79 | (10) sum(n4, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (4), (6), (7) imply: % 191.14/27.79 | (11) sum(n14, n14) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n2, all_4_0, n24, n4, simplifying with % 191.14/27.79 | (1), (10) gives: % 191.14/27.79 | (12) all_4_0 = n2 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.14/27.79 | (3), (11) gives: % 191.14/27.79 | (13) all_4_3 = n2 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #304 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) sum(n15, n15) = n4 % 191.14/27.79 (2) sum(n6, n24) = n4 % 191.14/27.79 (3) all_4_7 = n15 % 191.14/27.79 (4) ~ (all_4_0 = all_4_3) % 191.14/27.79 (5) all_4_2 = n6 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 (9) all_4_4 = n15 % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (5), (7) imply: % 191.14/27.79 | (10) sum(n6, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (6), (9) imply: % 191.14/27.79 | (11) sum(n15, n15) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (8) with n4, all_4_0, n24, n6, simplifying with % 191.14/27.79 | (2), (10) gives: % 191.14/27.79 | (12) all_4_0 = n4 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.14/27.79 | (1), (11) gives: % 191.14/27.79 | (13) all_4_3 = n4 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (4), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #305 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) sum(n8, n24) = n6 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) all_4_7 = n16 % 191.14/27.79 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (5) all_4_2 = n8 % 191.14/27.79 (6) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (7) all_4_4 = n16 % 191.14/27.79 (8) sum(n16, n16) = n6 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (5), (6) imply: % 191.14/27.79 | (10) sum(n8, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (4), (7) imply: % 191.14/27.79 | (11) sum(n16, n16) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n6, all_4_0, n24, n8, simplifying with % 191.14/27.79 | (1), (10) gives: % 191.14/27.79 | (12) all_4_0 = n6 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n6, all_4_3, n16, n16, simplifying with % 191.14/27.79 | (8), (11) gives: % 191.14/27.79 | (13) all_4_3 = n6 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #306 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) all_4_2 = n10 % 191.14/27.79 (2) sum(n10, n24) = n8 % 191.14/27.79 (3) ~ (all_4_0 = all_4_3) % 191.14/27.79 (4) sum(n17, n17) = n8 % 191.14/27.79 (5) all_4_4 = n17 % 191.14/27.79 (6) all_4_7 = n17 % 191.14/27.79 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (8) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (1), (8) imply: % 191.14/27.79 | (10) sum(n10, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (5), (6), (7) imply: % 191.14/27.79 | (11) sum(n17, n17) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n8, all_4_0, n24, n10, simplifying with % 191.14/27.79 | (2), (10) gives: % 191.14/27.79 | (12) all_4_0 = n8 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n8, all_4_3, n17, n17, simplifying with % 191.14/27.79 | (4), (11) gives: % 191.14/27.79 | (13) all_4_3 = n8 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #307 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) all_4_2 = n12 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) sum(n18, n18) = n10 % 191.14/27.79 (4) sum(n12, n24) = n10 % 191.14/27.79 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (6) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (7) all_4_4 = n18 % 191.14/27.79 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 (9) all_4_7 = n18 % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (1), (6) imply: % 191.14/27.79 | (10) sum(n12, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (5), (7), (9) imply: % 191.14/27.79 | (11) sum(n18, n18) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (8) with n10, all_4_0, n24, n12, simplifying with % 191.14/27.79 | (4), (10) gives: % 191.14/27.79 | (12) all_4_0 = n10 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (8) with n10, all_4_3, n18, n18, simplifying with % 191.14/27.79 | (3), (11) gives: % 191.14/27.79 | (13) all_4_3 = n10 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #308 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) all_4_2 = n14 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) sum(n19, n19) = n12 % 191.14/27.79 (4) all_4_4 = n19 % 191.14/27.79 (5) sum(n14, n24) = n12 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) all_4_7 = n19 % 191.14/27.79 (8) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (1), (8) imply: % 191.14/27.79 | (10) sum(n14, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (4), (6), (7) imply: % 191.14/27.79 | (11) sum(n19, n19) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n12, all_4_0, n24, n14, simplifying with % 191.14/27.79 | (5), (10) gives: % 191.14/27.79 | (12) all_4_0 = n12 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n12, all_4_3, n19, n19, simplifying with % 191.14/27.79 | (3), (11) gives: % 191.14/27.79 | (13) all_4_3 = n12 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #309 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) sum(n16, n24) = n14 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) all_4_7 = n20 % 191.14/27.79 (4) sum(n20, n20) = n14 % 191.14/27.79 (5) all_4_2 = n16 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (8) all_4_4 = n20 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (5), (7) imply: % 191.14/27.79 | (10) sum(n16, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (6), (8) imply: % 191.14/27.79 | (11) sum(n20, n20) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n14, all_4_0, n24, n16, simplifying with % 191.14/27.79 | (1), (10) gives: % 191.14/27.79 | (12) all_4_0 = n14 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n14, all_4_3, n20, n20, simplifying with % 191.14/27.79 | (4), (11) gives: % 191.14/27.79 | (13) all_4_3 = n14 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #310 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) all_4_7 = n21 % 191.14/27.79 (2) all_4_4 = n21 % 191.14/27.79 (3) ~ (all_4_0 = all_4_3) % 191.14/27.79 (4) sum(n18, n24) = n16 % 191.14/27.79 (5) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (6) sum(n21, n21) = n16 % 191.14/27.79 (7) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (8) all_4_2 = n18 % 191.14/27.79 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (7), (8) imply: % 191.14/27.79 | (10) sum(n18, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (1), (2), (5) imply: % 191.14/27.79 | (11) sum(n21, n21) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n16, all_4_0, n24, n18, simplifying with % 191.14/27.79 | (4), (10) gives: % 191.14/27.79 | (12) all_4_0 = n16 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (9) with n16, all_4_3, n21, n21, simplifying with % 191.14/27.79 | (6), (11) gives: % 191.14/27.79 | (13) all_4_3 = n16 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #311 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) sum(n20, n24) = n18 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) all_4_4 = n22 % 191.14/27.79 (4) sum(n22, n22) = n18 % 191.14/27.79 (5) all_4_2 = n20 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 (9) all_4_7 = n22 % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (5), (7) imply: % 191.14/27.79 | (10) sum(n20, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (3), (6), (9) imply: % 191.14/27.79 | (11) sum(n22, n22) = all_4_3 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (8) with n18, all_4_0, n24, n20, simplifying with % 191.14/27.79 | (1), (10) gives: % 191.14/27.79 | (12) all_4_0 = n18 % 191.14/27.79 | % 191.14/27.79 | GROUND_INST: instantiating (8) with n18, all_4_3, n22, n22, simplifying with % 191.14/27.79 | (4), (11) gives: % 191.14/27.79 | (13) all_4_3 = n18 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (2), (12), (13) imply: % 191.14/27.79 | (14) $false % 191.14/27.79 | % 191.14/27.79 | CLOSE: (14) is inconsistent. % 191.14/27.79 | % 191.14/27.79 End of proof % 191.14/27.79 % 191.14/27.79 Sub-proof #312 shows that the following formulas are inconsistent: % 191.14/27.79 ---------------------------------------------------------------- % 191.14/27.79 (1) all_4_4 = n23 % 191.14/27.79 (2) ~ (all_4_0 = all_4_3) % 191.14/27.79 (3) sum(n22, n24) = n20 % 191.14/27.79 (4) all_4_2 = n22 % 191.14/27.79 (5) all_4_7 = n23 % 191.14/27.79 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.14/27.79 (7) sum(all_4_2, n24) = all_4_0 % 191.14/27.79 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.14/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.14/27.79 (9) sum(n23, n23) = n20 % 191.14/27.79 % 191.14/27.79 Begin of proof % 191.14/27.79 | % 191.14/27.79 | REDUCE: (4), (7) imply: % 191.14/27.79 | (10) sum(n22, n24) = all_4_0 % 191.14/27.79 | % 191.14/27.79 | REDUCE: (1), (5), (6) imply: % 191.79/27.79 | (11) sum(n23, n23) = all_4_3 % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (8) with n20, all_4_0, n24, n22, simplifying with % 191.79/27.79 | (3), (10) gives: % 191.79/27.79 | (12) all_4_0 = n20 % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (8) with n20, all_4_3, n23, n23, simplifying with % 191.79/27.79 | (9), (11) gives: % 191.79/27.79 | (13) all_4_3 = n20 % 191.79/27.79 | % 191.79/27.79 | REDUCE: (2), (12), (13) imply: % 191.79/27.79 | (14) $false % 191.79/27.79 | % 191.79/27.79 | CLOSE: (14) is inconsistent. % 191.79/27.79 | % 191.79/27.79 End of proof % 191.79/27.79 % 191.79/27.79 Sub-proof #313 shows that the following formulas are inconsistent: % 191.79/27.79 ---------------------------------------------------------------- % 191.79/27.79 (1) sum(n25, n25) = n24 % 191.79/27.79 (2) sum(n25, n25) = all_4_3 % 191.79/27.79 (3) ~ (all_4_0 = all_4_3) % 191.79/27.79 (4) sum(n24, n0) = all_4_0 % 191.79/27.79 (5) sum(n24, n0) = n24 % 191.79/27.79 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.79 % 191.79/27.79 Begin of proof % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (6) with n24, all_4_0, n0, n24, simplifying with % 191.79/27.79 | (4), (5) gives: % 191.79/27.79 | (7) all_4_0 = n24 % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (6) with n24, all_4_3, n25, n25, simplifying with % 191.79/27.79 | (1), (2) gives: % 191.79/27.79 | (8) all_4_3 = n24 % 191.79/27.79 | % 191.79/27.79 | REDUCE: (3), (7), (8) imply: % 191.79/27.79 | (9) $false % 191.79/27.79 | % 191.79/27.79 | CLOSE: (9) is inconsistent. % 191.79/27.79 | % 191.79/27.79 End of proof % 191.79/27.79 % 191.79/27.79 Sub-proof #314 shows that the following formulas are inconsistent: % 191.79/27.79 ---------------------------------------------------------------- % 191.79/27.79 (1) sum(n0, n0) = all_4_3 % 191.79/27.79 (2) ~ (all_4_0 = all_4_3) % 191.79/27.79 (3) sum(n0, n0) = n0 % 191.79/27.79 (4) sum(n24, n2) = all_4_0 % 191.79/27.79 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.79 (6) sum(n24, n2) = n0 % 191.79/27.79 % 191.79/27.79 Begin of proof % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (5) with n0, all_4_3, n0, n0, simplifying with (1), % 191.79/27.79 | (3) gives: % 191.79/27.79 | (7) all_4_3 = n0 % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (5) with n0, all_4_0, n2, n24, simplifying with % 191.79/27.79 | (4), (6) gives: % 191.79/27.79 | (8) all_4_0 = n0 % 191.79/27.79 | % 191.79/27.79 | REDUCE: (2), (7), (8) imply: % 191.79/27.79 | (9) $false % 191.79/27.79 | % 191.79/27.79 | CLOSE: (9) is inconsistent. % 191.79/27.79 | % 191.79/27.79 End of proof % 191.79/27.79 % 191.79/27.79 Sub-proof #315 shows that the following formulas are inconsistent: % 191.79/27.79 ---------------------------------------------------------------- % 191.79/27.79 (1) sum(n1, n1) = all_4_3 % 191.79/27.79 (2) sum(n1, n1) = n2 % 191.79/27.79 (3) ~ (all_4_0 = all_4_3) % 191.79/27.79 (4) sum(n24, n4) = n2 % 191.79/27.79 (5) sum(n24, n4) = all_4_0 % 191.79/27.79 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.79 % 191.79/27.79 Begin of proof % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (1), % 191.79/27.79 | (2) gives: % 191.79/27.79 | (7) all_4_3 = n2 % 191.79/27.79 | % 191.79/27.79 | GROUND_INST: instantiating (6) with n2, all_4_0, n4, n24, simplifying with % 191.79/27.79 | (4), (5) gives: % 191.79/27.79 | (8) all_4_0 = n2 % 191.79/27.79 | % 191.79/27.79 | REDUCE: (3), (7), (8) imply: % 191.79/27.79 | (9) $false % 191.79/27.79 | % 191.79/27.79 | CLOSE: (9) is inconsistent. % 191.79/27.79 | % 191.79/27.79 End of proof % 191.79/27.79 % 191.79/27.79 Sub-proof #316 shows that the following formulas are inconsistent: % 191.79/27.79 ---------------------------------------------------------------- % 191.79/27.79 (1) sum(n24, n6) = all_4_0 % 191.79/27.79 (2) ~ (all_4_0 = all_4_3) % 191.79/27.79 (3) sum(n24, n6) = n4 % 191.79/27.79 (4) sum(n2, n2) = n4 % 191.79/27.79 (5) sum(n2, n2) = all_4_3 % 191.79/27.79 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.79 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (4), % 191.79/27.80 | (5) gives: % 191.79/27.80 | (7) all_4_3 = n4 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n4, all_4_0, n6, n24, simplifying with % 191.79/27.80 | (1), (3) gives: % 191.79/27.80 | (8) all_4_0 = n4 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #317 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n24, n8) = n6 % 191.79/27.80 (2) sum(n3, n3) = n6 % 191.79/27.80 (3) ~ (all_4_0 = all_4_3) % 191.79/27.80 (4) sum(n24, n8) = all_4_0 % 191.79/27.80 (5) sum(n3, n3) = all_4_3 % 191.79/27.80 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (2), % 191.79/27.80 | (5) gives: % 191.79/27.80 | (7) all_4_3 = n6 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n6, all_4_0, n8, n24, simplifying with % 191.79/27.80 | (1), (4) gives: % 191.79/27.80 | (8) all_4_0 = n6 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #318 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n24, n10) = all_4_0 % 191.79/27.80 (2) sum(n24, n10) = n8 % 191.79/27.80 (3) ~ (all_4_0 = all_4_3) % 191.79/27.80 (4) sum(n4, n4) = all_4_3 % 191.79/27.80 (5) sum(n4, n4) = n8 % 191.79/27.80 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (4), % 191.79/27.80 | (5) gives: % 191.79/27.80 | (7) all_4_3 = n8 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n8, all_4_0, n10, n24, simplifying with % 191.79/27.80 | (1), (2) gives: % 191.79/27.80 | (8) all_4_0 = n8 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #319 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) ~ (all_4_0 = all_4_3) % 191.79/27.80 (2) sum(n5, n5) = n10 % 191.79/27.80 (3) sum(n24, n12) = all_4_0 % 191.79/27.80 (4) sum(n5, n5) = all_4_3 % 191.79/27.80 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 (6) sum(n24, n12) = n10 % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (5) with n10, all_4_3, n5, n5, simplifying with % 191.79/27.80 | (2), (4) gives: % 191.79/27.80 | (7) all_4_3 = n10 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (5) with n10, all_4_0, n12, n24, simplifying with % 191.79/27.80 | (3), (6) gives: % 191.79/27.80 | (8) all_4_0 = n10 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #320 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n6, n6) = all_4_3 % 191.79/27.80 (2) sum(n24, n14) = n12 % 191.79/27.80 (3) sum(n24, n14) = all_4_0 % 191.79/27.80 (4) ~ (all_4_0 = all_4_3) % 191.79/27.80 (5) sum(n6, n6) = n12 % 191.79/27.80 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n12, all_4_3, n6, n6, simplifying with % 191.79/27.80 | (1), (5) gives: % 191.79/27.80 | (7) all_4_3 = n12 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n12, all_4_0, n14, n24, simplifying with % 191.79/27.80 | (2), (3) gives: % 191.79/27.80 | (8) all_4_0 = n12 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (4), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #321 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n7, n7) = n14 % 191.79/27.80 (2) sum(n24, n16) = all_4_0 % 191.79/27.80 (3) ~ (all_4_0 = all_4_3) % 191.79/27.80 (4) sum(n24, n16) = n14 % 191.79/27.80 (5) sum(n7, n7) = all_4_3 % 191.79/27.80 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n14, all_4_3, n7, n7, simplifying with % 191.79/27.80 | (1), (5) gives: % 191.79/27.80 | (7) all_4_3 = n14 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n14, all_4_0, n16, n24, simplifying with % 191.79/27.80 | (2), (4) gives: % 191.79/27.80 | (8) all_4_0 = n14 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #322 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n8, n8) = all_4_3 % 191.79/27.80 (2) ~ (all_4_0 = all_4_3) % 191.79/27.80 (3) sum(n8, n8) = n16 % 191.79/27.80 (4) sum(n24, n18) = all_4_0 % 191.79/27.80 (5) sum(n24, n18) = n16 % 191.79/27.80 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n16, all_4_3, n8, n8, simplifying with % 191.79/27.80 | (1), (3) gives: % 191.79/27.80 | (7) all_4_3 = n16 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n16, all_4_0, n18, n24, simplifying with % 191.79/27.80 | (4), (5) gives: % 191.79/27.80 | (8) all_4_0 = n16 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #323 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n24, n20) = all_4_0 % 191.79/27.80 (2) sum(n24, n20) = n18 % 191.79/27.80 (3) ~ (all_4_0 = all_4_3) % 191.79/27.80 (4) sum(n9, n9) = all_4_3 % 191.79/27.80 (5) sum(n9, n9) = n18 % 191.79/27.80 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n18, all_4_3, n9, n9, simplifying with % 191.79/27.80 | (4), (5) gives: % 191.79/27.80 | (7) all_4_3 = n18 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n18, all_4_0, n20, n24, simplifying with % 191.79/27.80 | (1), (2) gives: % 191.79/27.80 | (8) all_4_0 = n18 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #324 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n10, n10) = n20 % 191.79/27.80 (2) ~ (all_4_0 = all_4_3) % 191.79/27.80 (3) sum(n10, n10) = all_4_3 % 191.79/27.80 (4) sum(n24, n22) = n20 % 191.79/27.80 (5) sum(n24, n22) = all_4_0 % 191.79/27.80 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n20, all_4_3, n10, n10, simplifying with % 191.79/27.80 | (1), (3) gives: % 191.79/27.80 | (7) all_4_3 = n20 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (6) with n20, all_4_0, n22, n24, simplifying with % 191.79/27.80 | (4), (5) gives: % 191.79/27.80 | (8) all_4_0 = n20 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #325 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) ~ (all_4_0 = all_4_3) % 191.79/27.80 (2) sum(n11, n11) = n22 % 191.79/27.80 (3) sum(n24, n24) = n22 % 191.79/27.80 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 (5) sum(n24, n24) = all_4_0 % 191.79/27.80 (6) sum(n11, n11) = all_4_3 % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (4) with n22, all_4_3, n11, n11, simplifying with % 191.79/27.80 | (2), (6) gives: % 191.79/27.80 | (7) all_4_3 = n22 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (4) with n22, all_4_0, n24, n24, simplifying with % 191.79/27.80 | (3), (5) gives: % 191.79/27.80 | (8) all_4_0 = n22 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (7), (8) imply: % 191.79/27.80 | (9) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (9) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #326 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) ~ (all_4_0 = all_4_3) % 191.79/27.80 (2) all_4_7 = n12 % 191.79/27.80 (3) sum(n24, n0) = n24 % 191.79/27.80 (4) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (5) all_4_4 = n12 % 191.79/27.80 (6) all_4_1 = n0 % 191.79/27.80 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (8) sum(n12, n12) = n24 % 191.79/27.80 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (5), (7) imply: % 191.79/27.80 | (10) sum(n12, n12) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (4), (6) imply: % 191.79/27.80 | (11) sum(n24, n0) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n24, all_4_3, n12, n12, simplifying with % 191.79/27.80 | (8), (10) gives: % 191.79/27.80 | (12) all_4_3 = n24 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n24, all_4_0, n0, n24, simplifying with % 191.79/27.80 | (3), (11) gives: % 191.79/27.80 | (13) all_4_0 = n24 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #327 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) ~ (all_4_0 = all_4_3) % 191.79/27.80 (2) sum(n13, n13) = n0 % 191.79/27.80 (3) all_4_7 = n13 % 191.79/27.80 (4) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (5) all_4_4 = n13 % 191.79/27.80 (6) all_4_1 = n2 % 191.79/27.80 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 (9) sum(n24, n2) = n0 % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (5), (7) imply: % 191.79/27.80 | (10) sum(n13, n13) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (4), (6) imply: % 191.79/27.80 | (11) sum(n24, n2) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (8) with n0, all_4_3, n13, n13, simplifying with % 191.79/27.80 | (2), (10) gives: % 191.79/27.80 | (12) all_4_3 = n0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (8) with n0, all_4_0, n2, n24, simplifying with % 191.79/27.80 | (9), (11) gives: % 191.79/27.80 | (13) all_4_0 = n0 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #328 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) ~ (all_4_0 = all_4_3) % 191.79/27.80 (2) all_4_1 = n4 % 191.79/27.80 (3) sum(n14, n14) = n2 % 191.79/27.80 (4) sum(n24, n4) = n2 % 191.79/27.80 (5) all_4_7 = n14 % 191.79/27.80 (6) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (8) all_4_4 = n14 % 191.79/27.80 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (5), (7), (8) imply: % 191.79/27.80 | (10) sum(n14, n14) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (6) imply: % 191.79/27.80 | (11) sum(n24, n4) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n2, all_4_3, n14, n14, simplifying with % 191.79/27.80 | (3), (10) gives: % 191.79/27.80 | (12) all_4_3 = n2 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n2, all_4_0, n4, n24, simplifying with % 191.79/27.80 | (4), (11) gives: % 191.79/27.80 | (13) all_4_0 = n2 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #329 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n15, n15) = n4 % 191.79/27.80 (2) all_4_1 = n6 % 191.79/27.80 (3) all_4_7 = n15 % 191.79/27.80 (4) ~ (all_4_0 = all_4_3) % 191.79/27.80 (5) sum(n24, n6) = n4 % 191.79/27.80 (6) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 (9) all_4_4 = n15 % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (7), (9) imply: % 191.79/27.80 | (10) sum(n15, n15) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (6) imply: % 191.79/27.80 | (11) sum(n24, n6) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (8) with n4, all_4_3, n15, n15, simplifying with % 191.79/27.80 | (1), (10) gives: % 191.79/27.80 | (12) all_4_3 = n4 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (8) with n4, all_4_0, n6, n24, simplifying with % 191.79/27.80 | (5), (11) gives: % 191.79/27.80 | (13) all_4_0 = n4 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (4), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #330 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) all_4_1 = n8 % 191.79/27.80 (2) sum(n24, n8) = n6 % 191.79/27.80 (3) ~ (all_4_0 = all_4_3) % 191.79/27.80 (4) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (5) all_4_7 = n16 % 191.79/27.80 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (7) all_4_4 = n16 % 191.79/27.80 (8) sum(n16, n16) = n6 % 191.79/27.80 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (5), (6), (7) imply: % 191.79/27.80 | (10) sum(n16, n16) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (4) imply: % 191.79/27.80 | (11) sum(n24, n8) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n6, all_4_3, n16, n16, simplifying with % 191.79/27.80 | (8), (10) gives: % 191.79/27.80 | (12) all_4_3 = n6 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n6, all_4_0, n8, n24, simplifying with % 191.79/27.80 | (2), (11) gives: % 191.79/27.80 | (13) all_4_0 = n6 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #331 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) sum(n24, n10) = n8 % 191.79/27.80 (2) all_4_1 = n10 % 191.79/27.80 (3) ~ (all_4_0 = all_4_3) % 191.79/27.80 (4) sum(n17, n17) = n8 % 191.79/27.80 (5) all_4_4 = n17 % 191.79/27.80 (6) all_4_7 = n17 % 191.79/27.80 (7) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (8) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (5), (6), (8) imply: % 191.79/27.80 | (10) sum(n17, n17) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (7) imply: % 191.79/27.80 | (11) sum(n24, n10) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n8, all_4_3, n17, n17, simplifying with % 191.79/27.80 | (4), (10) gives: % 191.79/27.80 | (12) all_4_3 = n8 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n8, all_4_0, n10, n24, simplifying with % 191.79/27.80 | (1), (11) gives: % 191.79/27.80 | (13) all_4_0 = n8 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #332 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) ~ (all_4_0 = all_4_3) % 191.79/27.80 (2) sum(n18, n18) = n10 % 191.79/27.80 (3) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (4) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (5) all_4_1 = n12 % 191.79/27.80 (6) all_4_4 = n18 % 191.79/27.80 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 (8) all_4_7 = n18 % 191.79/27.80 (9) sum(n24, n12) = n10 % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (4), (6), (8) imply: % 191.79/27.80 | (10) sum(n18, n18) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (5) imply: % 191.79/27.80 | (11) sum(n24, n12) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (7) with n10, all_4_3, n18, n18, simplifying with % 191.79/27.80 | (2), (10) gives: % 191.79/27.80 | (12) all_4_3 = n10 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (7) with n10, all_4_0, n12, n24, simplifying with % 191.79/27.80 | (9), (11) gives: % 191.79/27.80 | (13) all_4_0 = n10 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #333 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) all_4_1 = n14 % 191.79/27.80 (2) sum(n24, n14) = n12 % 191.79/27.80 (3) ~ (all_4_0 = all_4_3) % 191.79/27.80 (4) sum(n19, n19) = n12 % 191.79/27.80 (5) all_4_4 = n19 % 191.79/27.80 (6) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (8) all_4_7 = n19 % 191.79/27.80 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (5), (7), (8) imply: % 191.79/27.80 | (10) sum(n19, n19) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (6) imply: % 191.79/27.80 | (11) sum(n24, n14) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n12, all_4_3, n19, n19, simplifying with % 191.79/27.80 | (4), (10) gives: % 191.79/27.80 | (12) all_4_3 = n12 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n12, all_4_0, n14, n24, simplifying with % 191.79/27.80 | (2), (11) gives: % 191.79/27.80 | (13) all_4_0 = n12 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (3), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #334 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) all_4_1 = n16 % 191.79/27.80 (2) ~ (all_4_0 = all_4_3) % 191.79/27.80 (3) sum(n24, n16) = n14 % 191.79/27.80 (4) all_4_7 = n20 % 191.79/27.80 (5) sum(n24, all_4_1) = all_4_0 % 191.79/27.80 (6) sum(n20, n20) = n14 % 191.79/27.80 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.80 (8) all_4_4 = n20 % 191.79/27.80 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.80 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.80 % 191.79/27.80 Begin of proof % 191.79/27.80 | % 191.79/27.80 | REDUCE: (4), (7), (8) imply: % 191.79/27.80 | (10) sum(n20, n20) = all_4_3 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (1), (5) imply: % 191.79/27.80 | (11) sum(n24, n16) = all_4_0 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n14, all_4_3, n20, n20, simplifying with % 191.79/27.80 | (6), (10) gives: % 191.79/27.80 | (12) all_4_3 = n14 % 191.79/27.80 | % 191.79/27.80 | GROUND_INST: instantiating (9) with n14, all_4_0, n16, n24, simplifying with % 191.79/27.80 | (3), (11) gives: % 191.79/27.80 | (13) all_4_0 = n14 % 191.79/27.80 | % 191.79/27.80 | REDUCE: (2), (12), (13) imply: % 191.79/27.80 | (14) $false % 191.79/27.80 | % 191.79/27.80 | CLOSE: (14) is inconsistent. % 191.79/27.80 | % 191.79/27.80 End of proof % 191.79/27.80 % 191.79/27.80 Sub-proof #335 shows that the following formulas are inconsistent: % 191.79/27.80 ---------------------------------------------------------------- % 191.79/27.80 (1) all_4_7 = n21 % 191.79/27.80 (2) all_4_1 = n18 % 191.79/27.80 (3) all_4_4 = n21 % 191.79/27.80 (4) ~ (all_4_0 = all_4_3) % 191.79/27.80 (5) sum(n24, all_4_1) = all_4_0 % 191.79/27.81 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.81 (7) sum(n21, n21) = n16 % 191.79/27.81 (8) sum(n24, n18) = n16 % 191.79/27.81 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.81 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.81 % 191.79/27.81 Begin of proof % 191.79/27.81 | % 191.79/27.81 | REDUCE: (1), (3), (6) imply: % 191.79/27.81 | (10) sum(n21, n21) = all_4_3 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (2), (5) imply: % 191.79/27.81 | (11) sum(n24, n18) = all_4_0 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (9) with n16, all_4_3, n21, n21, simplifying with % 191.79/27.81 | (7), (10) gives: % 191.79/27.81 | (12) all_4_3 = n16 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (9) with n16, all_4_0, n18, n24, simplifying with % 191.79/27.81 | (8), (11) gives: % 191.79/27.81 | (13) all_4_0 = n16 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (4), (12), (13) imply: % 191.79/27.81 | (14) $false % 191.79/27.81 | % 191.79/27.81 | CLOSE: (14) is inconsistent. % 191.79/27.81 | % 191.79/27.81 End of proof % 191.79/27.81 % 191.79/27.81 Sub-proof #336 shows that the following formulas are inconsistent: % 191.79/27.81 ---------------------------------------------------------------- % 191.79/27.81 (1) sum(n24, n20) = n18 % 191.79/27.81 (2) all_4_1 = n20 % 191.79/27.81 (3) ~ (all_4_0 = all_4_3) % 191.79/27.81 (4) all_4_4 = n22 % 191.79/27.81 (5) sum(n22, n22) = n18 % 191.79/27.81 (6) sum(n24, all_4_1) = all_4_0 % 191.79/27.81 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.81 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.81 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.81 (9) all_4_7 = n22 % 191.79/27.81 % 191.79/27.81 Begin of proof % 191.79/27.81 | % 191.79/27.81 | REDUCE: (4), (7), (9) imply: % 191.79/27.81 | (10) sum(n22, n22) = all_4_3 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (2), (6) imply: % 191.79/27.81 | (11) sum(n24, n20) = all_4_0 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (8) with n18, all_4_3, n22, n22, simplifying with % 191.79/27.81 | (5), (10) gives: % 191.79/27.81 | (12) all_4_3 = n18 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (8) with n18, all_4_0, n20, n24, simplifying with % 191.79/27.81 | (1), (11) gives: % 191.79/27.81 | (13) all_4_0 = n18 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (3), (12), (13) imply: % 191.79/27.81 | (14) $false % 191.79/27.81 | % 191.79/27.81 | CLOSE: (14) is inconsistent. % 191.79/27.81 | % 191.79/27.81 End of proof % 191.79/27.81 % 191.79/27.81 Sub-proof #337 shows that the following formulas are inconsistent: % 191.79/27.81 ---------------------------------------------------------------- % 191.79/27.81 (1) all_4_4 = n23 % 191.79/27.81 (2) ~ (all_4_0 = all_4_3) % 191.79/27.81 (3) sum(n24, all_4_1) = all_4_0 % 191.79/27.81 (4) sum(n24, n22) = n20 % 191.79/27.81 (5) all_4_7 = n23 % 191.79/27.81 (6) all_4_1 = n22 % 191.79/27.81 (7) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.81 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.81 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.81 (9) sum(n23, n23) = n20 % 191.79/27.81 % 191.79/27.81 Begin of proof % 191.79/27.81 | % 191.79/27.81 | REDUCE: (1), (5), (7) imply: % 191.79/27.81 | (10) sum(n23, n23) = all_4_3 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (3), (6) imply: % 191.79/27.81 | (11) sum(n24, n22) = all_4_0 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (8) with n20, all_4_3, n23, n23, simplifying with % 191.79/27.81 | (9), (10) gives: % 191.79/27.81 | (12) all_4_3 = n20 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (8) with n20, all_4_0, n22, n24, simplifying with % 191.79/27.81 | (4), (11) gives: % 191.79/27.81 | (13) all_4_0 = n20 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (2), (12), (13) imply: % 191.79/27.81 | (14) $false % 191.79/27.81 | % 191.79/27.81 | CLOSE: (14) is inconsistent. % 191.79/27.81 | % 191.79/27.81 End of proof % 191.79/27.81 % 191.79/27.81 Sub-proof #338 shows that the following formulas are inconsistent: % 191.79/27.81 ---------------------------------------------------------------- % 191.79/27.81 (1) all_4_4 = n24 % 191.79/27.81 (2) all_4_1 = all_4_7 % 191.79/27.81 (3) ~ (all_4_0 = all_4_3) % 191.79/27.81 (4) sum(n24, all_4_1) = all_4_0 % 191.79/27.81 (5) sum(n24, n24) = n22 % 191.79/27.81 (6) sum(all_4_7, all_4_4) = all_4_3 % 191.79/27.81 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 191.79/27.81 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0)) % 191.79/27.81 (8) all_4_1 = all_4_4 % 191.79/27.81 % 191.79/27.81 Begin of proof % 191.79/27.81 | % 191.79/27.81 | COMBINE_EQS: (2), (8) imply: % 191.79/27.81 | (9) all_4_4 = all_4_7 % 191.79/27.81 | % 191.79/27.81 | SIMP: (9) implies: % 191.79/27.81 | (10) all_4_4 = all_4_7 % 191.79/27.81 | % 191.79/27.81 | COMBINE_EQS: (1), (10) imply: % 191.79/27.81 | (11) all_4_7 = n24 % 191.79/27.81 | % 191.79/27.81 | COMBINE_EQS: (2), (11) imply: % 191.79/27.81 | (12) all_4_1 = n24 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (1), (6), (11) imply: % 191.79/27.81 | (13) sum(n24, n24) = all_4_3 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (4), (12) imply: % 191.79/27.81 | (14) sum(n24, n24) = all_4_0 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (7) with n22, all_4_0, n24, n24, simplifying with % 191.79/27.81 | (5), (14) gives: % 191.79/27.81 | (15) all_4_0 = n22 % 191.79/27.81 | % 191.79/27.81 | GROUND_INST: instantiating (7) with all_4_3, all_4_0, n24, n24, simplifying % 191.79/27.81 | with (13), (14) gives: % 191.79/27.81 | (16) all_4_0 = all_4_3 % 191.79/27.81 | % 191.79/27.81 | COMBINE_EQS: (15), (16) imply: % 191.79/27.81 | (17) all_4_3 = n22 % 191.79/27.81 | % 191.79/27.81 | REDUCE: (3), (15), (17) imply: % 191.79/27.81 | (18) $false % 191.79/27.81 | % 191.79/27.81 | CLOSE: (18) is inconsistent. % 191.79/27.81 | % 191.79/27.81 End of proof % 191.79/27.81 % SZS output end Proof for theBenchmark % 191.79/27.81 % 191.79/27.81 27212ms %------------------------------------------------------------------------------